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Medical Researcher Rediscovers Integration

parallel_prankster writes "I find this paper very amusing. From the abstract: 'To develop a mathematical model for the determination of total areas under curves from various metabolic studies.' Hint! If you replace phrases like 'curves from metabolic studies' with just 'curves,' then you'll note that Dr. Tai rediscovered the rectangle method of approximating an integral. (Actually, Dr. Tai rediscovered the trapezoidal rule.). Apparently this is called 'Tai's Model.'"

473 comments

  1. Newton? Leibniz? by theY4Kman · · Score: 2

    No, Tai.

  2. Next Paper .... Simpson's Rule by TaylorCeres · · Score: 1, Funny

    Wait 'til the next paper comes out about Simpson's Rule. That'll really rock the medical community!

    1. Re:Next Paper .... Simpson's Rule by Anonymous Coward · · Score: 2, Funny

      Simpson did it!

    2. Re:Next Paper .... Simpson's Rule by beakerMeep · · Score: 1

      Doh!

      --
      meep
    3. Re:Next Paper .... Simpson's Rule by Anonymous Coward · · Score: 0

      Honest question: Why doesn't the Wikipedia page about Simpson's rule mention RK4?

      From the link above for RK4:

      Also note that if f is independent of y, so that the differential equation is equivalent to a simple integral, then RK4 is Simpson's rule.

    4. Re:Next Paper .... Simpson's Rule by robosmurf · · Score: 4, Informative

      Because you are too lazy to add it?

    5. Re:Next Paper .... Simpson's Rule by robosmurf · · Score: 3, Informative

      Though a very valid comment (Simpson's Rule would be better), note that you may not be able to apply Simpson's Rule here directly. The basic form of Simpson's Rule needs evenly spaced sample points, which might not be the case for experimental results.

    6. Re:Next Paper .... Simpson's Rule by Annirak · · Score: 1

      Pfft... Just use Romberg Integration.

    7. Re:Next Paper .... Simpson's Rule by Anonymous Coward · · Score: 0

      Actually, Simpson's rule is a paneled newton cotes quadrature...it can be done with non-equispaced nodes (much like with the trapezoidal rule, which is a little easier to formulate in the non-equispaced case).

      Simpson's rule works by using 3 function values (at 3 distinct nodes) to integral the best degree 2 interpolant of those function values...for the trapezoidal rule, it uses a linear interpolant (needing just two neighboring nodes)

    8. Re:Next Paper .... Simpson's Rule by Mister_Stoopid · · Score: 1

      This is wikipedia we're talking about, so it was probably deemed not-notable and deleted.

  3. So how is a 16 year old report news? by Fallen+Kell · · Score: 2, Interesting

    This Article 1. doi: 10.2337/diacare.17.2.152 Diabetes Care February 1994 vol. 17 no. 2 152-154

    --
    We were all warned a long time ago that MS products sucked, remember the Magic 8 Ball said, "Outlook not so good"
    1. Re:So how is a 16 year old report news? by Anonymous Coward · · Score: 2, Funny

      Well, to be fair to the poster, the blog entry regarding the paper is only under 4 years old (March 2007)

    2. Re:So how is a 16 year old report news? by pieisgood · · Score: 5, Insightful

      Really it should be under idle, it's just the fact that the dude forgot all about calculus and went back and remade the approximate method of integration. His hubris must be punished by way of an Internet meme.

      --
      Eat sleep die
    3. Re:So how is a 16 year old report news? by guyminuslife · · Score: 1

      Not only that, but the mathematical technique he describes is centuries old!

      --
      I don't believe in time. It's a grand conspiracy designed to sell watches.
    4. Re:So how is a 16 year old report news? by ShakaUVM · · Score: 3, Interesting

      >>His hubris must be punished by way of an Internet meme.

      Tai me up?

      Tai your shoelaces?

      Could probably do something with Tai meaning "Red Snapper" in Japanese, or "Wife" in Chinese, but that might be a bit too highbrow for an internet meme.

      In any event, it's not hubris to get excited about something you invented that you didn't know existed before. It's ignorance. I once explained to a CS professor this method I'd found for finding the greatest common divisor of two integers, and he cut me off by saying that Euclid had figured it out 2300 years ago. :p

    5. Re:So how is a 16 year old report news? by Anonymous Coward · · Score: 5, Insightful

      No better way to learn than to discover it yourself. You'll never forget Euclid's algorithm, but I have to look it up every time.

    6. Re:So how is a 16 year old report news? by Torodung · · Score: 1

      I have to go take the wheels off my car so I can put on these newly invented "Tai-ers."

    7. Re:So how is a 16 year old report news? by Dave114 · · Score: 3, Informative

      The really scary bit is the 137 citations that Google Scholar reports for this paper. (Link to the Canadianized version of Google Scholar)

    8. Re:So how is a 16 year old report news? by stazeii · · Score: 2

      How about "Tai One, Calculus Zero". Get it? Tai-one? *sigh*

    9. Re:So how is a 16 year old report news? by Anonymous Coward · · Score: 3, Insightful

      In any event, it's not hubris to get excited about something you invented that you didn't know existed before. It's ignorance.

      The two are not mutually exclusive. Going so far as to publish a paper describing something he is expected to have learned in high school or at least in college is over the top.
      Its pretty bad that the peer review didn't catch it either...

    10. Re:So how is a 16 year old report news? by Anonymous Coward · · Score: 5, Informative

      Diabetes Care February 1994 vol. 17 no. 2 152-154

      That this study was stating the obvious was also noted 16 years ago. Unfortunately, often these follow up comments are very hard to find. Seeing all these comments, the article perhaps should have been pulled.

      Diabetes Care. 1994 Oct;17(10):1223-4; author reply 1225-6. Comments on Tai's mathematic model. Wolever TM. Comment on: * Diabetes Care. 1994 Feb;17(2):152-4. PMID: 7821151

      Diabetes Care. 1994 Oct;17(10):1224-5; author reply 1225-7. Tai's formula is the trapezoidal rule. Monaco JH, Anderson RL. Comment on: * Diabetes Care. 1994 Feb;17(2):152-4. PMID: 7677819

      Diabetes Care. 1994 Oct;17(10):1225. Modeling metabolic curves. Shannon AG, Owens DR. Comment on: * Diabetes Care. 1994 Feb;17(2):152-4. PMID: 7821152

      Diabetes Care. 1994 Oct;17(10):1223; author reply 1225-6. Determination of the area under a curve. Bender R. Comment on: * Diabetes Care. 1994 Feb;17(2):152-4. PMID: 7821150

    11. Re:So how is a 16 year old report news? by daniorerio · · Score: 2

      Or perhaps he knew exactly what he was doing?

      Tai: So as you can see I used this method to calculate the surface underneath the graph, and as you can clearly see the results show that....
      Fellow MD1: Wait, what method? That looks pretty sciency!
      Fellow MD2: Cool method, did you think of it yourself?
      Tai: Huh, I just calculated the surface underneath the graph, it's basic calculus you know?
      Fellow MD1: Calculus schmalculus, did you think of publishing your method
      Fellow MD2: Yeah you should totally publish this! Call it Tai's method or something, it's awesome!
      Tai: I guess...
      ???
      137 citations-> Profit!!!!!!!

    12. Re:So how is a 16 year old report news? by Graff · · Score: 5, Informative

      There's a great ancient method for estimating curves that we used to use all the time in instrumental analysis.

      1. take a strip of paper that has a graph on it
      2. cut out two pieces
        1. the area under the curve that you want to measure
        2. a rectangle a certain amount of units high and wide
      3. weigh each piece of paper
      4. multiply the height and width (in the units you are measuring) of the rectangular piece
      5. divide that by the weight of the rectangular piece
      6. multiply that by the weight of the curve piece

      You now have the area under the curve!

      It's a lot quicker and easier than most other methods for estimating the area if you are dealing with a complex curve. Of course now that computers are used to gather the data instead of strip charts it's even easier for the computer to just add up the magnitude of all the data points and multiply by some constant to get a decent estimate.

    13. Re:So how is a 16 year old report news? by VShael · · Score: 3, Funny

      Brilliant. So an American high school student watches the bullets fall from his friends clip as he fires on a random teacher, and thinks "I shall call it Gravity, yo."

    14. Re:So how is a 16 year old report news? by gbjbaanb · · Score: 2

      you assume he knew calculus before he started. In terms of relevance to us today, I see this kind of thing all the time in computing - why bother using the standard mechanism of performing a task when tyou can reinvent the wheel all over again. From the innumerable number of programming languages, to open source projects, to just my co-worker making up his own string class (gah!!)

      Sometimes I wonder if its a lack of education (or more likely experience), or just bone-headed stubborness to understand anything that someone else made.

    15. Re:So how is a 16 year old report news? by Anonymous Coward · · Score: 0

      Don't Tai me, bro.

    16. Re:So how is a 16 year old report news? by Dausha · · Score: 1

      It's more recent than that, actually. If you notice one of the links, that the article summary completely plegerizes, is dated March 2007. So, we not only have old news, we have a three year-old blog entry that laughs about it---and an article summary that plagiarizes.

      --
      What those who want activist courts fear is rule by the people.
    17. Re:So how is a 16 year old report news? by gtall · · Score: 1

      A lot of times I've seen that phenomenon; it appears to stem from the standard version not being quite optimal for the particular situation the programmer finds him/her self. Unless it is for something where every last clock cycle counts, it is a wasted effort because now the new code has to be debugged and maintained. Maintenance cost matters. That includes the cost of someone else now needing to learn the widget which is just like the old except for a few odd quirks.

    18. Re:So how is a 16 year old report news? by JWSmythe · · Score: 1

          That sounds like a defective weapon. Or one hell of a long classroom, and a really good eye for observing very small supersonic objects.

      --
      Serious? Seriousness is well above my pay grade.
    19. Re:So how is a 16 year old report news? by The+Mysterious+Dr.+X · · Score: 1

      I think he means the empty shell casings.

    20. Re:So how is a 16 year old report news? by Anonymous Coward · · Score: 0

      And meanwhile slashdotters and mathematicians everywhere are completely oblivious to all the things happening in their bodies. But we doctors fail to laugh at them for that.

    21. Re:So how is a 16 year old report news? by VShael · · Score: 1

      You are correct, sir.

    22. Re:So how is a 16 year old report news? by aXis100 · · Score: 3, Insightful

      That's the difference between software "engineering" and any other form of engineering. Maybe in another 200 years programmers will be there, civil and electrical disciplines have had a fair head start.

    23. Re:So how is a 16 year old report news? by arb · · Score: 1

      You must be new here - the tagline ("News for nerds. Stuff that matters") is just an inside joke - it doesn't actually mean that stories posted on this site would actually qualify as "news".

    24. Re:So how is a 16 year old report news? by Anonymous Coward · · Score: 0

      Na na na, you got that all wrong, it ain't called the gravity mayn, it's called the fally-down stuff.

    25. Re:So how is a 16 year old report news? by Anonymous Coward · · Score: 0

      needs to get his clip fixed; if the firearm is functioning the shell casings fall and the bullets hit the target.

    26. Re:So how is a 16 year old report news? by Sockatume · · Score: 1

      No no, he says the bullets fell from his friend's clip. So it's a defective magazine that spills unfired bullets.

      --
      No kidding!!! What do you say at this point?
    27. Re:So how is a 16 year old report news? by VShael · · Score: 1

      Not being from a gun friendly country, it was my mistake in terminology.

    28. Re:So how is a 16 year old report news? by Hognoxious · · Score: 1

      I once explained to a CS professor this method I'd found for finding the greatest common divisor of two integers, and he cut me off by saying that Euclid had figured it out 2300 years ago.

      As a result of a mistake I accidentally discovered a method of calculating the length along a curve. I was very pleased with myself, until I explained it to the teacher and she said "Oh yes, somebody-or-other's method".

      Still, I was only 13 and didn't claim to have a PhD...

      --
      Confucius say, "Find worm in apple - bad. Find half a worm - worse."
    29. Re:So how is a 16 year old report news? by Anonymous Coward · · Score: 1

      Isn't it obvious?

      InTaigration

    30. Re:So how is a 16 year old report news? by Anonymous Coward · · Score: 0

      Good luck trying this for e.g. a Brownian motion :D

    31. Re:So how is a 16 year old report news? by Anonymous Coward · · Score: 0

      check: http://www.youtube.com/watch?v=gIJw1jvwqTI&hd=1

    32. Re:So how is a 16 year old report news? by Opportunist · · Score: 1

      Umm... I don't get it. How do you wanna dodge them if you don't see them?

      --
      We used to have a Bill of Rights. Now, with the rights gone, all we have left is the bill.
    33. Re:So how is a 16 year old report news? by Anonymous Coward · · Score: 1

      Used to do that dozens of times a day back when gas chromatograph / mass specs were tied to Hewlett-Packard strip chart recorders... Who needs computers? :-)

    34. Re:So how is a 16 year old report news? by Anonymous Coward · · Score: 0

      Your are as equally ignorant on the topic you are speaking of as this Dr Tai.

      The "bullets" will not fall from anything. They are shot, and will only fall a little before hitting their target. The "spent cartridges" or "shells" will fall, and they will fall from a "magazine" or "mag", not a "clip". A clip is a device that allows speed loading of a magazine, and except for a couple of rifles, where the clip goes into the magazine, the clip is never attached to the gun.

    35. Re:So how is a 16 year old report news? by Anonymous Coward · · Score: 0

      Bah, you don't know what happens in our bodies any more than we do. You just save our lives. All you know is glorified plumbing and stuff that could just be put into an expert system. Call me back when you can make my heart regenerate and clean itself instead of by-passing it because the pipes have clogged.

    36. Re:So how is a 16 year old report news? by tibit · · Score: 1

      Worse yet, the hubris to name the method after yourself.

      --
      A successful API design takes a mixture of software design and pedagogy.
    37. Re:So how is a 16 year old report news? by jank1887 · · Score: 5, Interesting

      I peeked at one or two of the articles citing this paper:

      "The glucose and insulin responses to the OGTT were analyzed by calculating the area under the curve (AUC). The AUCs for glucose (AUCglucose) and insulin (AUCinsulin) were determined according to the Tai procedure for the metabolic curves (25)."

      DOI:10.1373/clinchem.2004.043109
      http://dx.doi.org/10.1373/clinchem.2004.043109

      I wonder if this is sort of an inside joke now. Rather than saying we used the trapezoidal rule to approximate XYZ, everyone in the field now says "we used the Tai procedure". It sounds so much more 'official'. Remind me to reinvent the central limit theorem tomorrow.

      And this doesn't help the people trying to fight the stigma that biology isn't a 'hard science'.

    38. Re:So how is a 16 year old report news? by Lefty2446 · · Score: 1

      ...Nearly!

      The bullets are loaded into the breach from the magazine, so they come from the breach not the mag ;-)

    39. Re:So how is a 16 year old report news? by bigrockpeltr · · Score: 1

      no ignorance would be to blame for his 'discovery'

      --
      $ unzip, strip, touch, finger, grep, mount, fsck, more, yes,fsck,fsck,fsck,umount, sleep
    40. Re:So how is a 16 year old report news? by John+Hasler · · Score: 2

      In any event, it's not hubris to get excited about something you invented that you didn't know existed before.

      The hubris is in publishing it without doing any research first.

      What's really piteous is that the reviewers didn't catch it.

      --
      Warning: this article may contain humor, sarcasm, parody, and perhaps even irony. Read at your own risk.
    41. Re:So how is a 16 year old report news? by TheRaven64 · · Score: 1

      Are we? At least some of us read medical journals. I've referred doctors to papers that provide evidence contradicting their medical beliefs before now. We live in the information age - there's no excuse for not having a basic grounding in any subject, whether it's the history of art, particle physics, or medicine.

      --
      I am TheRaven on Soylent News
    42. Re:So how is a 16 year old report news? by qubezz · · Score: 1

      So how do you estimate the error in your calculation due to differing density/thickness/weight throughout the paper? Do you cut up the paper into a thousand identical pieces and weigh each and determine the standard deviation? And then do you cut up multiple identical graph strips (and their inverses) to determine the errors in accuracy and precision in your scissors?

    43. Re:So how is a 16 year old report news? by Anonymous Coward · · Score: 0

      This Article 1. doi: 10.2337/diacare.17.2.152 Diabetes Care February 1994 vol. 17 no. 2 152-154

      Also it was covered in New Scientist's "Feedback" column on 16 Feb 2008(paywall, but the first couple of paragraphs of the story are visible). Which I was reading on the toilet just last night, and now it turns up as a Slashdot headline. What's with that? You guys put a spycam in my bog or something?

    44. Re:So how is a 16 year old report news? by rwa2 · · Score: 1

      Heh, awesome...

      16 year old news is news for slashdot... If it's older than slashdot, then at least it might not be a dupe! :-P
      ( At least I don't remember having read this on slashdot before )

    45. Re:So how is a 16 year old report news? by bzipitidoo · · Score: 1

      Sometimes it's faster to code from scratch than go hunting through 60000 library functions for one that serves the immediate need. Especially when the library functions are buggy. Like the time I went looking for a simple hex editor, something I thought was ubiquitous. After not finding anything like xxd or hexdump, and wondering what terms to search for next, I realized that I could hack something up in a few lines of code. Was an HP-UX system as I recall.

      --
      Intellectual Property is a monopolistic, selfish, and defective concept. It is "tyranny over the mind of man"
    46. Re:So how is a 16 year old report news? by jbeaupre · · Score: 1

      It's also the method that Archimedes used (except he used sheets of metal).

      --
      The world is made by those who show up for the job.
    47. Re:So how is a 16 year old report news? by Anonymous Coward · · Score: 0

      If the bullets are falling from the clip, something's broken and no-one's getting shot.

    48. Re:So how is a 16 year old report news? by JWSmythe · · Score: 2

          You do not need to see the bullets. That's impossible. Instead only try to realize the truth. There are no bullets. Then you'll see, it's not the bullets that need to move, it is only the idea of where they are aren't.

      --
      Serious? Seriousness is well above my pay grade.
    49. Re:So how is a 16 year old report news? by Posting=!Working · · Score: 1, Informative

      The shell casings eject from the breech. The bullets fly out of the barrel at high velocity. Anything dropping out of the magazine means you have a broken magazine.

      Unless the 'shooter' is just manually cycling the gun, then the unfired bullets would come from the breech.

      --
      This sentence no verb.
    50. Re:So how is a 16 year old report news? by Anonymous Coward · · Score: 0

      Shells, not bullets. Magazine, not clip. And even then, more accurately, gun, not magazine.

    51. Re:So how is a 16 year old report news? by Anonymous Coward · · Score: 0

      The massive amount of information that's available to us is overwhelming. I remember reading a quote (it was posted as a comment here a few months back) that mentioned something along the lines of: sometimes, you can learn more quickly from redoing an experiment than from going through all the research posted about the experiment. I think there's a dire need for better research skills.

      In his case, it would have been faster to just search, since apparently he knew exactly how to describe the tool he needed, he just didn't know the name of it.

    52. Re:So how is a 16 year old report news? by fishexe · · Score: 1

      >>His hubris must be punished by way of an Internet meme.

      Tai me up?

      Tai your shoelaces?

      A meme need not be a pun. How about whenever someone says something obvious as though it were a novel discovery, we reply with, "That must be the topic of Dr. Tai's next paper," or "I see you've read Dr. Tai's latest paper"?

      --
      "I don't care about the Constitution!" --Bill O'Reilly, November 17, 2009
    53. Re:So how is a 16 year old report news? by fishexe · · Score: 1

      In any event, it's not hubris to get excited about something you invented that you didn't know existed before. It's ignorance.

      The two are not mutually exclusive. Going so far as to publish a paper describing something he is expected to have learned in high school or at least in college is over the top. Its pretty bad that the peer review didn't catch it either...

      Well, we're taking Diabetes Care at their word that they actually perform the peer review.

      --
      "I don't care about the Constitution!" --Bill O'Reilly, November 17, 2009
    54. Re:So how is a 16 year old report news? by fishexe · · Score: 1

      Worse yet, the hubris to name the method after yourself.

      Yeah, even John Nash didn't do that with the Nash Equilibrium. He just called it an "equilibrium point" and let the mathematical community decide he was worthy of having it named for him.

      --
      "I don't care about the Constitution!" --Bill O'Reilly, November 17, 2009
    55. Re:So how is a 16 year old report news? by the+gnat · · Score: 2

      And this doesn't help the people trying to fight the stigma that biology isn't a 'hard science'.

      The problem isn't that biology isn't a "hard science" (although some branches are pretty soft), the problem is that most MDs aren't real scientists. Ask any biology grad student what it's like to teach pre-meds and you'll get an earful. It's difficult for me to take the profession seriously any more; my employer and I combined are paying $700 per month in case I get sick and need to be treated by some overpaid asshole who slept through calculus and cheated through biochemistry.

    56. Re:So how is a 16 year old report news? by fishexe · · Score: 1

      no ignorance would be to blame for his 'discovery'

      Maybe he should publish. He can call the "newly discovered" difference between bullets and empty shell casings "the VShael distinction."

      --
      "I don't care about the Constitution!" --Bill O'Reilly, November 17, 2009
    57. Re:So how is a 16 year old report news? by Anonymous Coward · · Score: 0

      Does that include the boundary?

    58. Re:So how is a 16 year old report news? by Archangel+Michael · · Score: 2

      And this is how MATH should be taught. Lead people to discover the truths. When they discover it for themselves, it is memorable, and the sign of true enlightenment, rather than education.

      We should be enlightening our children not educating them. Education is just "indoctrination" to scholarly principles, the recitation of useless facts without understanding or passion.

      I still have no idea what a quadratic formula is used for. Don't bother telling me, because I don't care at this point. I learned it long ago, used it to pass the tests to get to higher level math by applying formulas to equations in texts. I got good math grades because I was good with numbers, and memorizing formulas. A good head for numbers lost because nobody led me to discover the fundamental truths of math, but rather drilled it in by rote.

      --
      Agent K: A *person* is smart. People are dumb, stupid, panicky animals, and you know it.
    59. Re:So how is a 16 year old report news? by EccentricAnomaly · · Score: 1

      Tai D'oh!

      --
      There are 10 types of people in this world, those who can count in binary and those who can't.
    60. Re:So how is a 16 year old report news? by Archangel+Michael · · Score: 2

      Education is not the same as enlightenment.

      The sad thing is, he probably had some level of Calculus in school, and probably memorized the formulas and rules, did the math and answered the questions and got a passing grade, all without understanding. Education doesn't require understanding, it is just indoctrination of scholarly principles.

      Don't blame him for the error, blame the system that allowed it to happen.

      --
      Agent K: A *person* is smart. People are dumb, stupid, panicky animals, and you know it.
    61. Re:So how is a 16 year old report news? by Asmodae · · Score: 3, Insightful

      And this is how MATH should be taught.

      Maybe some bits can and should be taught that way, but the body of knowledge in mathematics is too large to try and teach any significant portion that way. It's taken humanity many lifetimes to discover what we know, one person doesn't have that long. Rediscovering something can be really cool on a one off basis, but there isn't time to do that for the entire body of knowledge nor should we try. Discovery is about the need to know and understand and the drive to sate that need. It's hard to teach those qualities when someone wants everything laid out for them.

      As for the quadratic equation, well applications for that are as numerous as applications of algebra. I would give examples but as you've stated your willful ignorance already I suspect that examples wouldn't have helped you in school either. I sense a lot of finger pointing in your tirade. I'm curious why you feel that way when so many others have gone on from the same educational systems (or even foreign ones that are even more hard-line/drill based) to figure things out and make great discoveries.

    62. Re:So how is a 16 year old report news? by Nadaka · · Score: 1

      I would also note that the student was likely using an m1 garand or sks rifle, few guns use a clip since WW2. A worn or defective clip certainly could have bullets falling out of it when trying to reload.

      You probably meant to say magazine. as well.

    63. Re:So how is a 16 year old report news? by Anonymous Coward · · Score: 0

      This article is genious! I tried for years to do a similar thing using the area of the outline of Homer Simpson. They didn't fit together well and the errors were large.

    64. Re:So how is a 16 year old report news? by hrimhari · · Score: 1

      Or just "oh no, not another Tai's Method".

      --
      http://dilbert.com/2010-12-13
    65. Re:So how is a 16 year old report news? by e70838 · · Score: 1

      In computer science, we also refer to Round Robin for the most trivial algorithms.

    66. Re:So how is a 16 year old report news? by hardburn · · Score: 1

      Well, hey, at least modern medicine doesn't use leaches anymore. Except when they do.

      --
      Not a typewriter
    67. Re:So how is a 16 year old report news? by Anonymous Coward · · Score: 0

      >reinvent the central limit theorem tommorow.

      Alan Turing beat you to it with his doc. thesis

    68. Re:So how is a 16 year old report news? by Graff · · Score: 3, Interesting

      So how do you estimate the error in your calculation due to differing density/thickness/weight throughout the paper? Do you cut up the paper into a thousand identical pieces and weigh each and determine the standard deviation? And then do you cut up multiple identical graph strips (and their inverses) to determine the errors in accuracy and precision in your scissors?

      Yeah, pretty much. You'd be surprised at how accurate the method is, modern paper is actually remarkably uniform in composition so your error ends up lying mostly in your cutting technique.

      It's not a perfect method but it ends up beating the pants off of most other methods of measuring the area under the curve, especially in how quick and easy it is to perform.

    69. Re:So how is a 16 year old report news? by UnknownSoldier · · Score: 3, Interesting

      > Rediscovering something can be really cool on a one off basis, but there isn't time to do that for the entire body of knowledge nor should we try.

      I don't think anyone is arguing to try to teach the WHOLE domain of one field that way. We're talking about the _basics_. What is taught for today's Math is a total joke - kids aren't taught to think, just to mindless follow some "arcane formula". e.g. "Two weeks of content are stretched to semester length by masturbatory definitional runarounds." EVERYONE should read these two papers.

      * A Mathematician's Lament
        http://www.maa.org/devlin/LockhartsLament.pdf

      * The Underground History of American Education
        http://www.johntaylorgatto.com/chapters/index.htm

    70. Re:So how is a 16 year old report news? by Anonymous Coward · · Score: 1

      It's actually worse than you think. Medical school selects for personality types that causes a lot of really bright people to be excluded or to wash out. People in charge of medical schools are aware of the situation, but are at a loss as to how to fix it.

    71. Re:So how is a 16 year old report news? by Asmodae · · Score: 1

      don't think anyone is arguing to try to teach the WHOLE domain of one field that way. We're talking about the _basics_.

      What are the basics? Addition? Subtraction? Multiplication? Can we teach those by rote? (and at some point multiplication tables need to be memorized) Math is a layering of abstraction upon abstraction so which layer gets to be called 'basic'. The layer where you don't even have the tools to communicate concepts effectively? Or maybe Algebra gets to be 'the basics' that we try to help kids 'discover'. What about properties of operations (associative/commutative) how do you get kids to discover all of those in time to actually finish an algebra sequence? Or do we need to try and get everyone to discover what the abstract concept of zero means? How do you pick what the basics are, and how do you handle the general symbolic language and communication skills to get to that point? It seems a fairly arbitrary line to be drawn. Everyone learns differently, and learning methods change as language grasp and symbol usage develop.

      The whole 'teach math discovery' idea strikes me as one of these: http://developers.slashdot.org/story/10/12/06/0124241/I-Just-Need-a-Programmer
      Just another idea that is less than useless without an implementation, and the implementation details are friggin' hard with tens of thousands of caveats, corner cases, exceptions and risk. see: http://en.wikipedia.org/wiki/New_Math where math teaching reform was tried and failed.

      What is taught for today's Math is a total joke - kids aren't taught to think, just to mindless follow some "arcane formula". e.g. "Two weeks of content are stretched to semester length by masturbatory definitional runarounds."

      This isn't a concept/discovery problem in the context of the current discussion, it's a pacing problem and a consequence of putting vastly different types of learners all in the same room and moving at the pace of the lowest common denominator. This is a common complaint of mine but doesn't seem to fit into the current question 'teaching discovery'. Regardless of what teaching method you're using, go too fast and you lose the people that need extra attention, too slow and you lose the ones that don't.

      EVERYONE should read these two papers.

      * A Mathematician's Lament http://www.maa.org/devlin/LockhartsLament.pdf

      * The Underground History of American Education http://www.johntaylorgatto.com/chapters/index.htm

      I'll take a look at those papers later as they appear fairly long and involved.

    72. Re:So how is a 16 year old report news? by Anonymous Coward · · Score: 0

      "I once explained to a CS professor this method I'd found for finding the greatest common divisor of two integers, and he cut me off by saying that Euclid had figured it out 2300 years ago. :p"

      I discovered that the distribution of primes is approximately 1/log(n).

    73. Re:So how is a 16 year old report news? by MMC+Monster · · Score: 1

      Well, the real problem is supply and demand.

      Physicians get to charge what they do because if they charged less they'd get so much business that they couldn't rest.

      You lower reimbursement and two things will happen:
      1. Some of the best and brightest are less likely to go into medicine. (Yes, people do go into medicine for the money sometimes).

      2. Physicians are likely to retire earlier, as it's just not worth the hassle to keep up with the field and constantly risk getting sued, just to get paid less.

      I know that at least three MDs I work with are going to retire in the next year or so. These are guys that said just two years ago that they'll work until they die of exhaustion.

      I suppose you can build more medical schools and lower the barrier of entry into medicine. Maybe take people with B-/C+ averages. I'm not sure if I want to use them as my physician, but hey, any port in a storm.

      --
      Help! I'm a slashdot refugee.
    74. Re:So how is a 16 year old report news? by Anonymous Coward · · Score: 0

      While I agree that most MDs seem to be terrifyingly innumerate, when I was diagnosed by my doctor with diabetes about 15 years ago, he explained the treatment to me by asking if I (obviously being a nerd) happened to "know calculus". Then he drew a graph on a whiteboard and talked about how the blood sugar excursions needed to be minimized, saying "you need to minimize the area under the curve". So it's not like they are all necessarily math idiots.

    75. Re:So how is a 16 year old report news? by synthespian · · Score: 1

      If you have mod points, please raise Anon's score to 5 - highly informative.

      Thanks for the hard work, Anon!

      --
      Main difference between the BSD license and the GPL license: one is from California and the other is from Massachusetts
    76. Re:So how is a 16 year old report news? by synthespian · · Score: 1

      I have a better ancient method:
      First part:
      Take a roll of string and some glue. Cut the string and glue it on top of the curve. Remember to write down how long the piece of string was.
      Then take some more glue and continue adding pieces of string until you fill the whole area. For increased fun you can choose different colors (choose bright colors).
      When you are done you count how much string you used. Now for the second part.
      Second part:
      Pull out brand new string from a roll. As much as the sum total of the pieces you used to fill the area under the curve (which should be a colorful thing). Pin down one extremity and roll it around until you make a circle. Then, calculate the area of the circle!
      There! This should be enough for Diabetes Care!
      (Now make many more circles, each a different color!)

      --
      Main difference between the BSD license and the GPL license: one is from California and the other is from Massachusetts
    77. Re:So how is a 16 year old report news? by frank_adrian314159 · · Score: 1

      Maybe take people with B-/C+ averages.

      How about A-? As far as I know, just a few years ago you still couldn't get close to the doors of a med school with less than a 4.9 GPA and a fabulously great score on the MCAT. And this wasn't always the case. My father made it into med school just fine with a B+ average in the mid-1950's and none of his patients complained. At least not the ones that survived - yes, that was a joke.

      --
      That is all.
    78. Re:So how is a 16 year old report news? by kevinadi · · Score: 1

      "Tai" is the Indonesian word for "shit"

    79. Re:So how is a 16 year old report news? by Anonymous Coward · · Score: 0

      I think you mean civil and mechanical. Electrical is still a baby in comparison.

  4. And he needs a computer to do it for curves by wagadog · · Score: 3, Interesting

    While boat-builders use Simpson's rule on hull surfaces to estimate the displacement...with a slide rule and a sharp pencil.

    Oh, but they're trained in Union apprenticeship programs and so could not *possibly* be as bright or talented or well-trained as a Doctor who went to University. And see? This Doctor has a publication! He must deserve 10X the salary of a boat builder.

    1. Re:And he needs a computer to do it for curves by magnusrex1280 · · Score: 1

      That depends; does the boat builder use bananas in the construction?

    2. Re:And he needs a computer to do it for curves by Hikaru79 · · Score: 3, Insightful

      Okay, I realize you're probably just trolling here, but you do realize that he reinvented integration, not just learned how to solve a couple of integrals, right?

      It says something sad about the state of interdisciplinary communication that this was considered worthy of publication, but if you think it reflects poorly on his intelligence, you're missing the point.

    3. Re:And he needs a computer to do it for curves by eggnoglatte · · Score: 5, Insightful

      Given that this is highschool - level math, I'd say "reinventing" it primarily shows a shocking lack of education (for a doctor).

    4. Re:And he needs a computer to do it for curves by Anonymous Coward · · Score: 5, Insightful

      Or evidence of having cheated his way through school like well over half of premeds [citation needed].

    5. Re:And he needs a computer to do it for curves by Anonymous Coward · · Score: 0

      he just forgot how. forgetting is easy, discovering something that you're supposed to know is a lot harder.

    6. Re:And he needs a computer to do it for curves by Anonymous Coward · · Score: 0

      only a Trained Union Apprentice could possibly think that spending all day summing quadratics with a slide rule when two lines of python would do the same thing is the mark of brightness.

    7. Re:And he needs a computer to do it for curves by The_mad_linguist · · Score: 1

      discovering something that you're supposed to know is a lot harder.

      http://lmgtfy.com/?q=%22area+under+a+curve%22

    8. Re:And he needs a computer to do it for curves by FrootLoops · · Score: 4, Insightful

      ...he reinvented integration...

      "Reinvented" is putting it a bit strongly, at least from the abstract of the paper (I, shockingly, don't have access to the Diabetes Care journal to see the full extent of the "discovery"). As well as I can gather, he noticed the area of a curve can be approximated by making a bunch of rectangles underneath it, and that you can be "clever" and add a triangle above the rectangles to get an even better answer. That's not even close to reinventing integration. To be honest, it's not even integration in a formal sense; no idea of limits seems to be used, for instance, or boundedness, infinite sums, or infimums/supremums.

      Did he, say, find the fundamental theorem of calculus and derivatives, along with a few formulae like the binomial theorem which gives the usual power rule? Is he able to compute some integrals symbolically? If so, I'd be impressed. But, and without being able to read the article itself, he seems like a guy who got tired of counting cells on graph paper and noticed he could do a little better by drawing trapezoids.

    9. Re:And he needs a computer to do it for curves by Mister+Pedant · · Score: 1

      Here's my two line of python:
      I didn't expect the Spanish Inquistition.
      Nobody expects the Spanish Inquisition.

    10. Re:And he needs a computer to do it for curves by aiht · · Score: 2

      This was apparently published in 1994.
      I don't think they had lmgtfy back then.

    11. Re:And he needs a computer to do it for curves by The_mad_linguist · · Score: 1

      Yes, but "let me infoseek that for you" or "let me reference desk librarian that for you" don't have quite the same ring.

    12. Re:And he needs a computer to do it for curves by robosmurf · · Score: 2, Informative

      This isn't integration. This is a numeric technique for estimating the area under the curve (the trapezoidal rule). This is a somewhat different branch of mathematics to integral calculus, which deals in the infinitesimal limits to provide exact results. You can't use integral calculus here, as there is no formula to integrate, only experimental results.

      It looks like this area is indeed in need of some interdisciplinary communication: what they really need is for a statistician to come up with a robust formula for this taking into account the errors.

    13. Re:And he needs a computer to do it for curves by Elendil · · Score: 2

      Not to mention the peer referees who were supposed to review the manuscript before it was accepted for publication...

    14. Re:And he needs a computer to do it for curves by Anonymous Coward · · Score: 1

      He reinvented the Trapezoidal Rule, which is really somewhat obvious, as opposed to reinventing *calculus* (which would have been impressive). He also, in spite of being part of a profession which regularly prides itself on being the cream of the intellectual crop, seems to have missed out on some fairly basic maths which is widely taught to scientifically inclined 16-year-olds. It's actually not rocket science. The fact that he received so many citations is even more amazing.

      Whoever modded you as insightful is easily impressed.

    15. Re:And he needs a computer to do it for curves by Dunbal · · Score: 4, Insightful

      You subscribe to the common (and completely erroneous) delusion that doctors make a lot of money. While sure it might sound great to say your income is 400k a year as a specialist, and completely ignore the 10+ years of school it took to get there, the student loans, and since medicine is not really a career you can work your way through, that's 10 years of no income too. THEN give half of it to the government in taxes. THEN give half of THAT to the insurance companies for liability insurance. THEN pay for all your supplies. And then you can afford a modest lifestyle.

      Love,

      A physician.

      --
      Seven puppies were harmed during the making of this post.
    16. Re:And he needs a computer to do it for curves by jank1887 · · Score: 1

      (1) performing the integration is high school level math.
      (2) re-deriving a proof of the process is at least a bit higher. (college level, we'll say)

      but yes, not recognizing it as something he should have mastered in high school is a bit poor.

    17. Re:And he needs a computer to do it for curves by swillden · · Score: 1

      Okay, I realize you're probably just trolling here, but you do realize that he reinvented integration, not just learned how to solve a couple of integrals, right?

      You, the submitter and the editor all need some remedial education in Calculus. Hint: What Tai "discovered" is not integration.

      --
      Note to ACs: I usually delete AC replies without reading them. If you want to talk to me, log in.
    18. Re:And he needs a computer to do it for curves by synthespian · · Score: 1

      Hey, robosmurf, you haven't yet made it to the Numerical Analysis class and you haven't yet seen Numerical Integration, have ya?

      --
      Main difference between the BSD license and the GPL license: one is from California and the other is from Massachusetts
    19. Re:And he needs a computer to do it for curves by marcosdumay · · Score: 1

      He reinvented second order numeric integration. Maybe the GP didn't care to type the word 'numeric', since it is obvious.

    20. Re:And he needs a computer to do it for curves by Chemisor · · Score: 2

      In US high schools you are not required to take calculus. Students going to college usually take it, but the rest prefer not to.

    21. Re:And he needs a computer to do it for curves by hedwards · · Score: 1

      This isn't high school level math. This is first year college math. Around here they didn't even offer this in high school as a portion of the curriculum. You don't seen Simpson's rule until at least pre-calculus and more likely calculus.

      Personally, if my doctor expressed that level of incompetence in calculus, I'd be looking for a new doctor before my next appointment. Way too much of the practice of being a doctor involves calculus to let that slide.

    22. Re:And he needs a computer to do it for curves by Anonymous Coward · · Score: 1

      "and then you can afford a modest lifestyle" ...

      It's lucky for you that you didn't become a lawyer, because you'd
      starve to death trying to bullshit people and failing miserably.

    23. Re:And he needs a computer to do it for curves by hedwards · · Score: 1

      It depends how accurate you need to be. The way you'd normally handle that via integral calculus is that you'd break the interval up into however many pieces it required. But at some point that becomes rather less accurate than just estimating it.

      Of course there's situations where it can't be written in a form that can be integrated, but I'm not really sure how often that really comes up in cases like this where you need both exact and can't create a decent function to work with.

    24. Re:And he needs a computer to do it for curves by AvitarX · · Score: 1

      This is actually quite interesting and says a lot about the cultural shift of the internet. The mad linguist points out that a reference librarian would probably be able to do this, but the massive cultural shift of easy searching a lot of the collective human (mis)information available is quite amazing. Even if something existed in 1994, it wasn't the obvious starting point that it is today.

      Internet really is quite amazing, and I think this is a good example of it changing the way people think, as an obviously smart person didn't do what to even a dumbth today would be an obvious first step.

      --
      Wow, sent an e-mail as suggested when clicking on "use classic" banner, and got a fast response that addressed my msg
    25. Re:And he needs a computer to do it for curves by hedwards · · Score: 1

      Apart from the loans, you don't have much of a point. Just look at other countries and you'll see what I mean. It's not that unusual for doctors in other countries to make half or less what we pay our doctors.

    26. Re:And he needs a computer to do it for curves by nomadic · · Score: 5, Insightful

      Doctors tend to complain that they can only afford a "modest lifestyle" but tend not to understand what they have is generally well above "modest."

    27. Re:And he needs a computer to do it for curves by sydneyfong · · Score: 1

      OK, I know it's rather rude to ask a stranger about his/her salary, but since you brought up the topic:

      What's your net income after paying loans, taxes, insurance and operational expenses?

      --
      Don't quote me on this.
    28. Re:And he needs a computer to do it for curves by Dunbal · · Score: 1

      What's your net income after paying loans, taxes, insurance and operational expenses?

            So small that I quit medicine and I do something else that pays a little more with far less hassle. And I ain't the only one.

      --
      Seven puppies were harmed during the making of this post.
    29. Re:And he needs a computer to do it for curves by demonlapin · · Score: 2

      Way too much of the practice of being a doctor involves calculus to let that slide.

      Almost none of the practice of medicine requires calculus. Trust me, I'm a doctor. There's a lot of use for calculus in medical research, and in deeper understanding of physiology - but it has no bearing whatsoever on my daily work.

    30. Re:And he needs a computer to do it for curves by Anonymous Coward · · Score: 1

      I love hearing doctors complain about being poor. I have a friend in med school who does the best version of it. He complains about how little money his family has in one sentence, then mentions going to their exclusive (several hundred $ a month + expenses) club for lunch with his dad (a doctor), who's taking the rest of the day off to play tennis just cause he can, because they just stole the chef away from the best hotel in town in the next sentence, and follows it up with how they just paid cash for a BMW for his sister (while qualifying it with "but it was 2 years old, and not the top end model, and we knew the dealer, so it was only 35k). But they're really, actually, very poor, just like every other doctor.

      I will believe you when a) you're not throwing around hyperbolic numbers, b) I actually meet a doctor who is just affording "a modest lifestyle".

    31. Re:And he needs a computer to do it for curves by Anonymous Coward · · Score: 0

      You subscribe to the common (and completely erroneous) delusion that doctors make a lot of money. While sure it might sound great to say your income is 400k a year as a specialist, and completely ignore the 10+ years of school it took to get there...

      Lots of people have doctoral degrees (like me), working through 10+ years of school to get there, and have never made even $100k. And I still count myself fortunate -- I've also lived on $15k/year; I know how good I have it now.

      So yeah, take your $400k and stop whining. It's a butt-load of money and anyone who thinks otherwise has totally lost touch with reality.

    32. Re:And he needs a computer to do it for curves by demonlapin · · Score: 1

      In most countries, they are paid to go to medical school, starting at age 18, meaning that they don't spend their twenties poor. And US tax laws make it worse - my student loan interest is not deductible, I'm not allowed to go back and contribute to my IRA for all the years that I couldn't afford to, etc. It's a good problem to have, but it's still a problem.

    33. Re:And he needs a computer to do it for curves by fishexe · · Score: 1

      This was apparently published in 1994. I don't think they had lmgtfy back then.

      Not only that, they didn't even have the "g" (which by far is the most important element of lmgtfy) back then!

      --
      "I don't care about the Constitution!" --Bill O'Reilly, November 17, 2009
    34. Re:And he needs a computer to do it for curves by grep_rocks · · Score: 3, Interesting

      Boo hoo - I spent 7 years after college getting a PhD in Physics and then did a post-doc after that - and I don't know of many Physicists making 400k a year or even half that, I spend my time desiging x-ray machines that doctors use and I have spent quite a bit of time watching them use the machines - as far as I can tell they are glorified technicians, they do the same type of procedure every day, which mostly involves manual dexterity, they don't have a clue how their equipment works, and on several occasions I have had to correct them on basic physiology - I wish I had a job like that, overpaid doing basically the same type of work every day.

    35. Re:And he needs a computer to do it for curves by Urza9814 · · Score: 1

      Try going through a similar amount of school, with student loans and such as well, and after having 30 years of experience in the field and being one of the best in the state at what you do, still having a salary of around $50k a year.

      In other words, try being a social security attorney.

    36. Re:And he needs a computer to do it for curves by Anonymous Coward · · Score: 0

      THEN give half of it to the government in taxes. ... THEN pay for all your supplies.

      Might be worth hiring an accountant if you haven't figured out how to deduct your expenses.

    37. Re:And he needs a computer to do it for curves by stdarg · · Score: 3, Informative

      I don't think it's possible for you to be paying $200k in taxes with an income of $400k and deductions of $100k for insurance premiums and another positive amount for supplies. Assuming $50k in supplies, and living in California with a 9.3% state income tax, your total income tax burden (including self-employed SS/Medicare) is about $110k, not even close to $200k. That would make take-home, after-tax pay $140k. If you live in Florida with no state income tax, your take home pay is about $165k. If you can't get rich off of that over the course of your career, you are doing it wrong, simple as that. Marry someone who is better at handling money than you.

      Maybe your doctor friends are so rich that you have lost track of what "modest lifestyle" means to most people vs you?

    38. Re:And he needs a computer to do it for curves by Anonymous Coward · · Score: 0

      You subscribe to the common (and completely erroneous) delusion that doctors make a lot of money. While sure it might sound great to say your income is 400k a year as a specialist, and completely ignore the 10+ years of school it took to get there, the student loans, and since medicine is not really a career you can work your way through, that's 10 years of no income too. THEN give half of it to the government in taxes. THEN give half of THAT to the insurance companies for liability insurance. THEN pay for all your supplies. And then you can afford a modest lifestyle.

      Love,

      A physician.

      Then become a boatbuilder and STFU.

    39. Re:And he needs a computer to do it for curves by Chris+Burke · · Score: 2

      Maybe the GP didn't care to type the word 'numeric', since it is obvious.

      Never underestimate a /.ers ability to fail to note the obvious when they are trying to be pedantic.

      --

      The enemies of Democracy are
    40. Re:And he needs a computer to do it for curves by Anonymous Coward · · Score: 0

      Doc, you may be good slicing up thorasic aortas but you need to go take an intor accounting class or you need to fire your accountant!

      Insurance, supplies, employees etc are tax dedutable.

      The proper order is: Give half of THAT to the insurance companies for liability insurance. THEN pay for all your supplies THEN give half of that to the government in taxes

      There I just saved you 40K in taxes...roughly the average pre-tax income of a household of 4 in America (it is ~45 pretax and 38 after taxes).

      If you want to calculate the ACTUAL oportunity costs of an MD it is pretty easy... starting at Med School you have 4 years of no income and 150K (about) in interest free student loans (the federal government picks up the interest for Med students). Then you have 3 years of residency makeing between 40-50, then another 2-3 years of specialization at 60. At which point you will have your specialization which NETS (after insurance, supplies, employees, office space etc.) 300K (about).

      Now the average income of a college graduate is about 45K. Figure an average of 5% increase for raises and promotions.

      Now the math... after med school a new MD is making roughly what a new college grad is so thoes years wash out. Over the 4 years you were in Med school you lost about 193K in income and spent 150K. An MD therefore costs about 350K.

      Since you will net after taxes an income of 150K compared to the 30K of a typical college grad after an extra 4 years in the marketplace at a generous 5% annual raise, you will make an extra 120K after taxes.

      Therefore your payback on med school is about 3 years.

      So by 13 years after college you are netting after taxes about $120K while a typicall college grad is netting 51K. (85K x .6 after taxes).

      Yes, these are back of the envelope calculations but still reasonably accurate.

      Doctor Dunbal, if you are calling 4X the average household income or 2.4 the average college income a Modest Income then perhaps you need to re-evaluate your view of how typical americans live...

      And yes, I have worked with a number of doctirs offices and helped my sister (who is graduating from med school this year) figure out her finances.

    41. Re:And he needs a computer to do it for curves by Anonymous Coward · · Score: 0

      You subscribe to the common (and completely erroneous) delusion that doctors make a lot of money. While sure it might sound great to say your income is 400k a year as a specialist, and completely ignore the 10+ years of school it took to get there, the student loans, and since medicine is not really a career you can work your way through, that's 10 years of no income too. THEN give half of it to the government in taxes. THEN give half of THAT to the insurance companies for liability insurance. THEN pay for all your supplies. And then you can afford a modest lifestyle.

      Love,

      A physician.

      Fuck you. Compare your "modest lifestyle" to the 95% of the US population that isn't living as well. Sure, you worked your ass off to get there, but that's not on argument against the claim you make a lot of money, it's an argument against a claim that "doctors are lazy" which isn't a stereotype of your profession at all. Regardless of how much you work, you earn more than the vast, vast majority of the population. It's only a "modest" lifestyle if you're comparing yourself to people with yachts.

      Mind you, I'm not saying this is unfair. I object to you defending yourself by saying, "oh, I really don't earn much money at all, I'm just like all of you" bullshit. Just fucking say the truth: "yes, I make a lot of money, but I worked hard for every penny. And I'd like to make more, because I've always dreamed of having my own private jet, but I'm just not rich enough to afford that."

    42. Re:And he needs a computer to do it for curves by jsac · · Score: 2

      "If you can't get rich off of that over the course of your career, you are doing it wrong" -- remember, this discussion was started by an article in which a med school graduate and research scientist reinvented the trapezoid method of integration, presumably because he never learned it in math class. So we're not talking math geniuses here.

      --
      "The urge to fly from modern systems, instead of moving through them to even greater, fairer things is, I think, an indi
    43. Re:And he needs a computer to do it for curves by Anonymous Coward · · Score: 1

      That is certainly true. Medicine is the HARD way to make money. Yes, if you are at all compentent then you will be able to make VERY good money.

      However you also work 60-70 hours a week and have to deal with people when they are most vulnerable (when they are hurt) in an extremly complex environment where one mistake can permenently harm a person for the rest of thier life.

      If you don't have the calling than you won't make it and should find easier ways to make your fortune.

    44. Re:And he needs a computer to do it for curves by Anonymous Coward · · Score: 0

      400k
      give [35%] of it to the government in taxes (260k)
      give half of THAT for liability insurance (130k)
      THEN pay for all your supplies

      Seeing as most of those numbers are obvious exaggeration, yet even then you come out way above the average amercian income (around 45k), please excuse me if I hold on to my "completely erroneous delusion".

    45. Re:And he needs a computer to do it for curves by 0100010001010011 · · Score: 1

      I tool AP Calculus my Junior year of HS.

    46. Re:And he needs a computer to do it for curves by Anonymous Coward · · Score: 1

      That's why most doctors live in modest homes and drive 10-year-old cars.

    47. Re:And he needs a computer to do it for curves by Anonymous Coward · · Score: 0

      Oh yeah, I forgot that only doctors get taxed. Silly me.

    48. Re:And he needs a computer to do it for curves by fishbowl · · Score: 1

      >I tool AP Calculus my Junior year of HS.

      It's extremely unusual, in the overall picture. My school didn't even offer anything like this. It's just as well for me, since I took an early SAT, scored high enough to get a full scholarship and early admission, and just went to college instead of taking a fourth year of high school. Best decision I ever made.

      --
      -fb Everything not expressly forbidden is now mandatory.
    49. Re:And he needs a computer to do it for curves by fishbowl · · Score: 1

      If you've ever read The Principia, you've struggled through Isaac Newton reinventing calculus in every chapter.

      --
      -fb Everything not expressly forbidden is now mandatory.
    50. Re:And he needs a computer to do it for curves by publiclurker · · Score: 1

      Well, considering the delusions of godhood many doctors have, any level of opulence would be considered moderate by their own standards.

    51. Re:And he needs a computer to do it for curves by Anonymous Coward · · Score: 0

      I went to school for 10 years too- for my bachelors. No 400k for me, and the gov't still takes 1/3. I learned this calculus principle my very first semester of college. maybe you're liability insurance wouldn't be so hefty if you guys actually learned and weren't so damn busy patting yourself on the back and being completely corrupted by big pharmacy. 90% of non-surgical doctor work is: listen to the symptoms, match them up with the pill that gives you the biggest kickback, and go to the next customer. Hardly something you need a medical degree for, we might as well put some MBA's in there as they are great and taking money unethically.

    52. Re:And he needs a computer to do it for curves by Anonymous Coward · · Score: 1

      Numbers Time:
      1) Start with $400,000
      2) Assume $500,000 in student loans (high I would think esp. for undergrad) = 4450/mo or 53500/yr.
      3) Taxes in the US would be (assuming single no kids, no deductions) = 117,500
      4) I'll take your word insurance is 1/4th = 100,000
      5) I'm calling BS on the supplies. Everytime I am at a doctor I get charged (severely overcharged) for everthing bigger than tounge depressors.

      Total = $129,000 not to shabby. I also think the numbers here aren't right for insurance, since the AMA listed listed average take home salary at $160,000 for all doctors (not just specialists) in 1999, 11 years ago.

      So yeah, you went to school 4 years longer than I did and make -at least- $90,000 more. Also when you start charging people 5 grand for cat scans (a machine that only costs about 900,000) you will get no sympathy.

    53. Re:And he needs a computer to do it for curves by FrootLoops · · Score: 1

      It's not obvious, and I wasn't trying to be pedantic. The next clause was "not just learned how to solve a couple of integrals"--which would mean symbolic integration and not numeric, as near as I can interpret. So, screw you you smug jerk.

    54. Re:And he needs a computer to do it for curves by Ionized · · Score: 1

      yeah, and do doctors in those countries pay five and six digit sums per YEAR for malpractice insurance?

      obstetricians in florida can expect to pay up to $200,000 a year in insurance premiums. admittedly, most doctors "only" pay $20k to $40k per year, the lucky guys.

      lynch the lawyers.

      http://www.ehow.com/about_5514154_average-cost-medical-malpractice-insurance.html

    55. Re:And he needs a computer to do it for curves by Anonymous Coward · · Score: 1

      Reminds of something from... I think it was one of those Sports Illustrated swimsuit specials... years ago where some supermodel was talking about how they actually have to work really hard, and that people have this false impression that they just have to stand in front of a camera and look pretty. She went on to talk about how, during the shoot, she had to get up at 4 AM, spend hours in a makeup chair, and work for a good 12 hours, holding uncomfortable positions all day, etc. I realized from her rant on it that two things were true: A. there really is work involved in being a model and there are a lot of people who don't realize that and B. she didn't seem to grasp that plenty of other people work that hard, starting with pretty much everyone else working on the shoot, and extending to most of the rest of the human population works that hard or harder, especially when you consider that the days she has to work that hard are exceptions, rather than the rule and that she gets paid at least 10 times or more than what they are paid.

      Same goes for doctors. I've heard that spiel a million times: had to pay off school loans, work like a dog right out of school, etc. It's certainly not untrue. There's a definite curve there where a doctor is on the line for their schooling for the start of their career and they do indeed have all kinds of costs, etc. and there's definitely a subset of the population who think that doctors are a lot wealthier than they really are. But, on the other hand, doctors tend to be pretty well off and have really good earning potential as either professionals or entrepreneurs. Sure, they're not the super-rich, but they're generally not paupers either.

    56. Re:And he needs a computer to do it for curves by Anonymous Coward · · Score: 0

      If you're having trouble making ends meet then you should apply for welfare or choose another profession altogether. Truck drivers, even small truck drivers (like mail couriers), can make over 15 dollars an hour without giving most of their income away to government and insurance agencies.

      Signed,

      Somebody who hasn't seen a doctor in over 20 years

    57. Re:And he needs a computer to do it for curves by Chris+Burke · · Score: 1

      That clause doesn't necessarily mean symbolic, and it was a clause describing what wasn't done.

      And really, you weren't trying to be pedantic when you said that "To be honest, it's not even integration in a formal sense"? Because that's pretty much a classic example of pedantry.

      It also happens to be wrong. And now you're mad at me about it. Good for you. *fap fap fap*

      --

      The enemies of Democracy are
    58. Re:And he needs a computer to do it for curves by Velex · · Score: 1

      My kingdom for mod points.

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      Join the Slashcott! Stay away entirely Feb 10 thru Feb 17! Close all tabs to prevent autorefresh!
    59. Re:And he needs a computer to do it for curves by milamber3 · · Score: 1

      On top of going to school for those 7 years for free, you also got paid a yearly stipend to get that PhD. Medical students pay $60K+ per year tuition, get paid nothing, and then do another 3-9 years of residency/fellowship working 80+ hours a week while getting paid between $40-$60k per year (damn near minimum wage). All of this while trying to pay down $250K+ in loans and compounding interest. After that, it's true that attending doctor salaries on average range between 150K to 400K. I would say that after making little to no money for 8-13 years of graduate education and paying off the equivalent of a small mortgage we deserve to play some salary catch up. I also know some PhDs making $150K-$300K salary and they didn't have all the loans so please stop your whining.

    60. Re:And he needs a computer to do it for curves by Renraku · · Score: 1

      The general practitioner I visit does pretty well, I guess. He has a nice car, two story house, a kid, a wife, and takes a vacation once a year. When he retires he'll have enough to live comfortably, but not lavishly. This is the very definition of living modestly, and is no more than the average middle class American can do if they don't waste all their money on new cell phones for the whole family every two months.

      --
      Job? I don't have time to get a job! Who will sit around and bitch about being broke and unemployed then?
    61. Re:And he needs a computer to do it for curves by Anonymous Coward · · Score: 0

      Oh, but they're trained in Union apprenticeship programs and so could not *possibly* be as bright or talented or well-trained as a Doctor who went to University.

      I've been through an apprenticeship program, and then on the Uni, and yes, the people who go to uni are, on average brighter and more intelligent, and have a better disciplined thought process (which is how they made it to uni in the first place). There are lazy drones in both streams and the usual self-styled "big picture" people who don't know a soldering iron from their wang.

      "More intelligent" doesn't meet "better than"- this is a very common mistake made by geeks, leading to self-delusion and arrogance. Intelligence is just one attribute of a person's makeup, and it isn't the most important, by a long shot.

    62. Re:And he needs a computer to do it for curves by Anonymous Coward · · Score: 0

      Wow there's a lot of anger towards doctors here. Sure, some people go to medical school for the money, but they quickly realize they're in the wrong business to get rich quick. Most doctors genuinely care for patients in my experience.

      About the salary comments... Doctors definitely have a very comfortable lifestyle in general. Some doctors make $800k a year, but almost none. Most make $175-$300k each year. About 25%-30% is taken in taxes. The real problem is the hours. Doctors work anywhere from 40-105 hours per week, but most work i'd guess from 65-80 hours per week. That's awful, especially when you can't tell your wife when you'll be home or if you'll miss your next date. For example, I am writing this from work right now.

      Next, account for the lost time. When my friends were planning group camping trips and weekend parties in college and grad school, I stayed home or at the library. I've pulled more all-nighters studying or at work than I think is healthy.

      For the record, I am a doctor and have a masters in engineering and definitely know integrals. Hopefully this post doesn't sound like I'm whining. Anyway, I'm off to RTFA. This guy sounds like a dumbass. But please don't hate doctors in general. Hate the bad doctors, then go find a better one because they are out there.

    63. Re:And he needs a computer to do it for curves by grep_rocks · · Score: 1

      I believe it was the doctor who was whining about a measly $400k salary, might I add for a job with a skill set consistent with a skilled technician - so get that straight - I was pointing out to that poor exploited man that maybe there are some other people in the world who work and study hard too who somehow manage with less, like scientists, engineers, and concert pianists - but judging from the number of Rolexes on their wrists and BMWs in the parking lot at the hospital I think these poor doctors are somehow going to make it - it seems like their loans are well in hand.

    64. Re:And he needs a computer to do it for curves by milamber3 · · Score: 1

      I really want to laugh at your skilled technician comment if it wasn't so sad that you really believe it. I have a degree in ECE and worked as an engineer before going to medical school. I can tell you, doctors work just as hard or harder than the best engineers and scientists. They need to have even more retained knowledge and the problem solving skills to use that knowledge.

      The rich doctors you're talking about are doctors from a time when the total cost of medical school was less than 20K. Many of my profs paid around that amount. It has changed drastically. Besides all that, I know plenty of PhD's driving around in fancy cars with beach houses. I have worked for a few of them. Just because you aren't making big bucks right out of your stipend supplemented free education does not mean you should hate on other professions. Especially when you obviously know nothing about what it takes to work as an MD.

    65. Re:And he needs a computer to do it for curves by grep_rocks · · Score: 1

      Thanks, I will remember that the next time I have to explain osmolality to physician making $1M/year - I believe this is in chapter 3 of the first year physiology textbook (Guyton), which is about as difficult to read as a fucking history textbook - I will try and remember that doctors work much harder than everyone else and need much more retained knowledge than myself - you really nailed me there, now I feel like such a loser, I now realize I am just a big welfare fraud with all my free education and my ~10K/year stipend, and I (or anyone else) really don't know anything as important or have to do anything as difficult as you - fuck off you self important asshole, you are a good example of what makes me sick of the medical profession

    66. Re:And he needs a computer to do it for curves by FrootLoops · · Score: 1

      What that clause meant was unclear, which was my point--it wasn't "obvious" what was meant, so I assumed symbolic integration. After I do that I get insulted obliquely, which annoyed me. The type of generalization your post contained comes up a lot on /. and also annoys me. In retrospect, I was more angry than I should have been, and I apologize for the insult.

      (I agree that I was pedantic with the part you quoted. That wasn't the part under consideration, though.)

  5. Unique by Anonymous Coward · · Score: 0

    OK, can we now agree that no thought is unique and that no idea is so big that no-one will think it again? (If this could be agreed upon we could solve a lot of problems with patents and copyright.)

  6. Physicists rediscover medicine: by haystor · · Score: 5, Funny

    ABSTRACT:

    Method for dissipation of influenza symptoms through prolong dietary restriction versus current methods of hypercaloric intake treatment of cold virus carriers.

    --
    t
    1. Re:Physicists rediscover medicine: by Internalist · · Score: 1

      Method for dissipation of influenza symptoms through prolong dietary restriction versus current methods of hypercaloric intake treatment of cold virus carriers.

      Best. Starve-a-fever-feed-a-cold. Evar.

      I'm totally stealing this...

      --
      Research is what I'm doing when I don't know what I'm doing. -- Wernher von Braun
    2. Re:Physicists rediscover medicine: by julesh · · Score: 3, Insightful

      Method for dissipation of influenza symptoms through prolong dietary restriction versus current methods of hypercaloric intake treatment of cold virus carriers.

      If you can find a way of making that Method and apparatus..., you could probably get a patent.

    3. Re:Physicists rediscover medicine: by nschubach · · Score: 1

      Simple:

      Methods for dissipation of influenza symptoms through prolong dietary restriction versus current methods of hypercaloric intake treatment of cold virus carriers using a computer to alert for intake.

      There, now it's an alarm clock that tells you when and when not to eat!

      --
      Every time I start to have faith in humanity, I ruin it by driving to work between 7 and 8 am.
    4. Re:Physicists rediscover medicine: by Opportunist · · Score: 1

      Maybe, but I'm kinda fearing the BDSM scene with a weight gain fetish has prior art on it. And I'm too scared to check, fearing what I might find.

      --
      We used to have a Bill of Rights. Now, with the rights gone, all we have left is the bill.
    5. Re:Physicists rediscover medicine: by julesh · · Score: 1

      Well, if you checked, Rule 34 *would* apply, so it would be true. I don't think Rule 34 necessarily applies if you don't check, though, so I think it's best if neither of us looks.

    6. Re:Physicists rediscover medicine: by Opportunist · · Score: 1

      Let us celebrate our agreement with the adding of chocolate to milk.

      --
      We used to have a Bill of Rights. Now, with the rights gone, all we have left is the bill.
    7. Re:Physicists rediscover medicine: by pitchpipe · · Score: 2

      ABSTRACT:

      Method for dissipation of influenza symptoms through prolong dietary restriction versus current methods of hypercaloric intake treatment of cold virus carriers.

      CONCRETE:

      Composite construction material composed of cement (commonly Portland cement) and other cementitious materials such as fly ash and slag cement, aggregate (generally a coarse aggregate made of gravels or crushed rocks such as limestone, or granite, plus a fine aggregate such as sand), water, and chemical admixtures.

      --
      Look where all this talking got us, baby.
    8. Re:Physicists rediscover medicine: by Anonymous Coward · · Score: 0

      I thought it was "Feed a fever, starve a cold".

    9. Re:Physicists rediscover medicine: by Anonymous Coward · · Score: 0

      The effigy of administering domesticated avian/liquid preparations in the symptemic amiliation of influenza and rhino-virus carriers ?

  7. Not so simple... by rbayer · · Score: 5, Insightful

    First, does anyone have a link to the actual article? TFS only seems to include an abstract. Second, this was published in 1994. Third, while it may simply seem that the author is rediscovering integration, the field of numerical integration is actually a rather rich one. It's all well and good to say "take an antiderivate and evaluate at the endpoints", but for a function that is found experimentally this is essentially nonsense. While the submitter here claims that this article is simply rediscovering the trapezoid rule, there's actually no such evidence given in the Abstract--algorithms for determining how big of rectangles/trapezoids/etc to use in your calculations is actually an active area of research (albeit usually for the multidimensional case) and it is possible that this researcher did actually discover a better algorithm for deciding how to do the numerical approximations.

    1. Re:Not so simple... by makubesu · · Score: 1, Insightful

      First, given that the error formula for the trapezoidal rule is well known, that the error terms can be successively eliminated by romberg integration, and that numerical integration is a stable numerical method, I'm skeptical about that determining the number of trapezoids is an "active area of research". Second, given that for the overwhelming majority of articles, the abstract is the only thing that is read, I'm skeptical that such gems lie buried within the full text. Unfortunately, PubMed doesn't keep full text up for this journal beyond a few years ago, so it will take some effort to get the full text, even for those of us with access to PubMed.

    2. Re:Not so simple... by syousef · · Score: 1

      While the submitter here claims that this article is simply rediscovering the trapezoid rule, there's actually no such evidence given in the Abstract

      You're right. he didn't make it all the way to trapezoids. He's combining triangles and retangles instead:

      "total area under a curve is computed by dividing the area under the curve between two designated values on the X-axis (abscissas) into small segments (rectangles and triangles) whose areas can be accurately calculated from their respective geometrical formulas.:"

      Any way you cut it, this is pretty poor for a supposedly learned doctor.

      --
      These posts express my own personal views, not those of my employer
    3. Re:Not so simple... by Garridan · · Score: 1
      Nope. While I didn't find the PDF for this article, I read a few of the articles which cite "Tai's Model". One of them in particular, http://www.ajcn.org/content/89/4/1043.full.pdf, explicitly writes "Tai's Model" out,

      1/2 x 30 x (y0min +2y30min + 2y60min + 2y90min + y120min)

      This makes me think that Tai didn't "rediscover" anything, but brazenly plagiarized from a calculus textbook.

    4. Re:Not so simple... by Darinbob · · Score: 1

      Actually, in medicine the value of something like this is that you can say "measured as X using Tai's Model" and people will know what you mean, and can compare it to norms or other patients. If you decide you want to split into smaller triangles then it becomes a different model that doesn't compare so easily. All part of the goofy world of medical calcs, which are often performed and used by technicians.

    5. Re:Not so simple... by welcher · · Score: 1, Informative

      You are far too generous -- there was a comment on this paper in the next issue of the journal entitled Tai's formula is the trapezoidal rule. There is nothing complicated or clever about it.

    6. Re:Not so simple... by rbayer · · Score: 2

      True, the number of trapezoids is not an active area of research, but the idea of picking which points to evaluate a function at in order to approximate its integral in some nice way is in fact active. For example, Gaussian Quadrature methods can be used to exactly calculate integrals of some classes of functions by simply evaluating them at certain points and weighting appropriately and there are questions as to which classes of functions can be approximated in this way and more specifically what the points/weights should be. After some further digging, I clearly gave this paper way too much credit and it does in fact appear to be just the trapezoid rule, but the general point I was trying to make--that numerical integration is not as trivial as some people seem to think--is still valid.

    7. Re:Not so simple... by rbayer · · Score: 2

      Yikes. I guess I gave the guy way too much credit.

    8. Re:Not so simple... by Opportunist · · Score: 2, Funny

      First, let me assure you that this is not one of those shady pyramid schemes you've been hearing about. No sir. Our model is the trapezoid!

      --
      We used to have a Bill of Rights. Now, with the rights gone, all we have left is the bill.
    9. Re:Not so simple... by Anonymous Coward · · Score: 0

      I am having trouble locating the article as well. I would be surprised if my university did not have access to this journal.

      Can someone please locate this article?

    10. Re:Not so simple... by TheRaven64 · · Score: 1

      Any way you cut it, this is pretty poor for a supposedly learned doctor.

      If you've ever done peer reviews for a journal, then you'll know that it's not uncommon for papers to be submitted showing a woeful ignorance of other fields. The problem is not so much that the doctor wrote this, but that it was not returned with some very scathing peer reviews.

      --
      I am TheRaven on Soylent News
    11. Re:Not so simple... by syousef · · Score: 1

      Any way you cut it, this is pretty poor for a supposedly learned doctor.

      If you've ever done peer reviews for a journal, then you'll know that it's not uncommon for papers to be submitted showing a woeful ignorance of other fields. The problem is not so much that the doctor wrote this, but that it was not returned with some very scathing peer reviews.

      Other fields!??!?!? This is HIGHSCHOOL math!!!

      --
      These posts express my own personal views, not those of my employer
  8. Look at Economics first by Anonymous Coward · · Score: 0, Insightful

    before you blame medical science.

    Economists constantly rediscover mathematics and tag their name in front of long-known mathematical things. And then, they collect a Nobel Prize for it.

    And then, they use it for investing your retirement savings, in .com stock or CDOs. At the same time, they pay themselves at lot of gratification and bonus. And then, you are very surprised that your money is gone.

    1. Re:Look at Economics first by imsabbel · · Score: 2

      Correction: They do NOT win Nobel Prices.

      They win fake prices set up by banks, names to be confused with real nobel prices, in an effort to leech on the publicity of the real nobel prices and somehow legitimize economics as a science.

      --
      HI O WISE PRINCE. WHT TOOK U SO DAM LONG?
  9. This is actually more impressive than it sounds by LostMyBeaver · · Score: 1

    Sure, it's math that has been known by math and physics types for centuries, but what is truly impressive is that a medical researcher, in other words someone who, if they still remember any math is chemical math or statistical math oriented actually managed to handle a topic such as this.

    What I think is most odd about this is that no-one in his peer review group noticed that this is actually relatively trivial calculus. My nephew has recently applied to study medicine in the university and I was more than a little surprised that he wasn't required during his undergraduate studies to obtain a classical scientific education. In fact, the only non-chemistry oriented science he was required to take was "Physics 1" and he wasn't required to take calculus at all. I'm not even sure how you can teach a physics course without calculus, but they appeared to be happy with nothing more than "pre-calc" style topics covering basic derivatives.

    I believe what makes this impressive even though he could have Googled the topic quite easily is that it shows a small shift towards educating medical researchers in sciences which demand precision. It wasn't until quite recently (during the span of my life at least) that engineers who can in fact apply science started working closely with theoretical scientists (such as medical researchers) to devise actual solutions to problems.

    If the gap is closed further then eventually, a new breed of medical research may come about who is educated in both medicine AND math and technology. Then we may start solving problems much more rapidly. I'm sure there is such a thing somewhere, but those guys, instead of publishing and bragging are probably doing silly little things like actually solving problems and don't have time for that.

    1. Re:This is actually more impressive than it sounds by Splab · · Score: 3, Interesting

      Apparently most slashdotters do math on a daily basis. I can't recall the last time I needed to do integrals - in fact, if you had asked me 5 minutes ago how to calculate the area under a curve, I would have needed a trip to google/wolfram to look it up.

      Can't really fault someone who isn't doing it on a daily basis for not knowing the "obvious" answer.

    2. Re:This is actually more impressive than it sounds by guyminuslife · · Score: 4, Interesting

      There is a great short story by Jorge Luis Borges, called "Pierre Menard, Author of Don Quixote," wherein the titular character sets out of to write Don Quixote. The fact that Don Quixote was written by Miguel de Cervantes centuries ago is irrelevant. Pierre Menard does not try to copy Cervantes' work, and in fact he avoids reading it to make sure that it does not affect his own authorship. Instead, Menard goes out and makes it so that his combined life experiences inspire him to write a creative work, pulled out of his own imagination, that just so happens to conform, word-for-word, to the original text of Don Quixote. He is not the first to write it, but neither is he plagiarizing. He completes his masterpiece shortly before his death, and it goes largely unnoticed....

      The story goes into a critical review of the piece and claims that due to the author's particular circumstances, it is artistically superior to the original Don Quixote.

      This reminds me of that.

      --
      I don't believe in time. It's a grand conspiracy designed to sell watches.
    3. Re:This is actually more impressive than it sounds by LostMyBeaver · · Score: 1

      Let me apologize for that... yes there are some of us who do math on a daily basis. I have a long history (nearly 18 years professionally) of using complex math regularly and forgetting it the moment I'm done implementing the algorithm until such time as I google it.

      But whether the chosen algorithm is obvious or not is less important than the fact that it is clearly obvious that there must be a proven method of calculating it. Googling "calculating the area under a curve" works pretty well.

      Of course, in 1994 (I think that's when the paper was written), Google wasn't an option, but a phone call to the math department of the local university would have been effective.

      So, to be more precise, it is obvious that there must be an existing mathematical method of solving the problem. Whether the method is obvious or not, well that's more dependent on the person evaluating the solution.

    4. Re:This is actually more impressive than it sounds by azalin · · Score: 2

      This isn't about not knowing the answer, this is about not knowing an answer might exist.
      I would never blame anybody not to know details about stuff not within his field.
      The catch phrase being "details". You should however be smart enough, to accept that you don't know everything and that it is no shame to ask a professional.
      It's not like medical researchers do the statistical analysis of their data themselves on a regular basis.
      All I ask for is the ability to identify what kind of problem it is you have and then start asking or reading.

      It is even more sad, this went through review and got published.

      While I'm already ranting, try asking a doctor what he thinks of amateurs (read: not a doctor) meddling in their field.

    5. Re:This is actually more impressive than it sounds by Anonymous Coward · · Score: 1

      IIRC, Ménard *does* read the original book (he has to, otherwise his book wouldn't be a perfect copy), only he must be able to explain every word with something better than "well I just copied what Cervants wrote". It's a great read though, Borges' Fictions should be on everyone's reading list, and length isn't even an excuse, his stories are short and awesome.

    6. Re:This is actually more impressive than it sounds by FrootLoops · · Score: 1

      As for a calclusless physics course, I took one in high school. It was the most advanced in the school, sadly, and didn't include calculus--even though half the class was in AP Calc or had already taken it. Anyway, I digress. Mostly it focused on free body diagrams and solving simple kinetics problems. I remember the equations of kinematics were used a lot. They relate velocity, position, and time under constant acceleration and are all trivially derived with calculus, though for the purposes of that class they fell out of the sky. I vaguely recall some electricity and magnetism, though I can't imagine what could have been taught without differential equations.... Oh, I remember--we spent some time on Ohm's Law. And the teacher brought in a 1 Tesla magnet which screwed up the TV (CRT) from a dozen feet. He also shot a potato gun into the air, had us time how long it took to get down, and had us calculate the muzzle velocity assuming the path was purely vertical and the potato was under constant acceleration. That problem is solved with one of the kinematics equations I mentioned.

      So, I suppose we basically did a little algebra, memorized some formulas (or derived them ourselves, as the case may have been), and screwed around a lot. I imagine a similar course in a university would be slightly more formal and stuff in more equations pulled from thin air. The students aren't interested in the derivation anyway, I suppose; why bother giving it to them? For that matter, why bother teaching physics to med students?

    7. Re:This is actually more impressive than it sounds by iamhassi · · Score: 2

      "Apparently most slashdotters do math on a daily basis. I can't recall the last time I needed to do integrals - in fact, if you had asked me 5 minutes ago how to calculate the area under a curve, I would have needed a trip to google/wolfram to look it up."

      I haven't done any calculus in XY years but I guarantee you if someone asked "how do I figure out the area under a curve" I'd eventually answer "Calculus", at least before I wrote a medical journal about it and submit it for peer review. I mean he quotes the first chapter of my old calculus book almost exactly: "In Tai's Model, the total area under a curve is computed by dividing the area under the curve between two designated values on the X-axis (abscissas) into small segments (rectangles and triangles) whose areas can be accurately calculated from their respective geometrical formulas. The total sum of these individual areas thus represents the total area under the curve."

      Sorry but this dr deserves to be shot, next thing he'll be figuring out how to measure the sides of a triangle given then lengths of the other two sides.

      --
      my karma will be here long after I'm gone
    8. Re:This is actually more impressive than it sounds by PSandusky · · Score: 1

      What I think is most odd about this is that no-one in his peer review group noticed that this is actually relatively trivial calculus. My nephew has recently applied to study medicine in the university and I was more than a little surprised that he wasn't required during his undergraduate studies to obtain a classical scientific education. In fact, the only non-chemistry oriented science he was required to take was "Physics 1" and he wasn't required to take calculus at all. I'm not even sure how you can teach a physics course without calculus, but they appeared to be happy with nothing more than "pre-calc" style topics covering basic derivatives.

      I would indicate to you that your nephew's situation is not typical. Programs tend to vary widely in how they approach requirements and prerequisites. I would question their approach, myself -- especially if your nephew has any interest in moving on to research.

      Granted, I don't work in medicine. Still, I work in biology, and I came to this work with both calculus and calculus-based physics. I may not have the same mathematical toolbox someone working in physics has, but my field doesn't let me be ignorant of calculus to be deemed acceptable as a scientist, either.

      --
      "What's the use in being grown up if you can't be childish sometimes?" --Fourth Doctor, "Robot"
    9. Re:This is actually more impressive than it sounds by PSandusky · · Score: 1

      The students aren't interested in the derivation anyway, I suppose; why bother giving it to them? For that matter, why bother teaching physics to med students?

      I could work up quite a list here, but instead I'll send you to Steve Vogel. Read Prime Mover: a Natural History of Muscle and Vital Circuits. Vogel wrote the latter to describe circulatory systems largely in terms of physics, and he cites his (then) recent heart surgery as a guiding animus.

      The truth is, physics counts. Yes, there are idiot doctors out there who got by with memorizing all kinds of stuff and who, by extension, can handle the overwhelming majority of "simple" complaints. For my money, I want a doctor who has had some education to let him think beyond Gray's Anatomy and the PDR if and when I present with something outside of that overwhelming majority. If it's a biomechanical problem, that doc had damn well better have had physics.

      --
      "What's the use in being grown up if you can't be childish sometimes?" --Fourth Doctor, "Robot"
    10. Re:This is actually more impressive than it sounds by Anonymous Coward · · Score: 0

      In this particular case, it would be something along the lines of:

      Writer spends his entire working life telling stories about a clueless but honourable wannabe knight, then discovers that it works a lot better as a story if his character's nature is revealed by his actions and mistakes. When asked whether his books are supposed to be a contemporary retelling, the author just looks confused.

    11. Re:This is actually more impressive than it sounds by BeanThere · · Score: 1

      Apparently most slashdotters do math on a daily basis. I can't recall the last time I needed to do integrals - in fact, if you had asked me 5 minutes ago how to calculate the area under a curve, I would have needed a trip to google/wolfram to look it up.

      Can't really fault someone who isn't doing it on a daily basis for not knowing the "obvious" answer.

      I've also long since forgotten most of the details too, however, if I *did* encounter a real-world problem in which I needed the area under the graph, I would've remembered that I had already learned how to do that sort of thing, and go look it up - like you - and there is a vast difference between knowing this is a basic solved problem you can just look up, and thinking you've come up with something new. So yes, you can fault someone even for not "doing" it on a daily basis. Forgetting the details of how to do it doesn't mean forgetting that it can be done at all.

      The only aspect where we might be forgiving here is the fact that Internet search engines were almost non-existent in 1993, so he couldn't "just Google it", and Googling a physical library is a bit harder.

    12. Re:This is actually more impressive than it sounds by jank1887 · · Score: 1

      I would also like to mention:

      (1) Webcrawler, Lycos, Infoseek and Altavista all came online in 1994. I think Excite had a 1 year head start on them. not sure what math content he might have found at the time.

      (2) Whether or not he should have been able to find it, the journal was (should have been?) PEER REVIEWED. the fact that within a month there was a comment article pointing out the fact that he just got the Trapezoidal Rule republished as his own points out the fact that this is just the case of the peer review process failing back when limited information access made it muy muy importante.

    13. Re:This is actually more impressive than it sounds by careysub · · Score: 5, Interesting

      Concur. It is one of a number of devastating critiques by Borges of the various foibles of literary criticism itself - all told as very short delightful stories. "Pierre Menard" attacks the idea that examining the life of the author is necessary to evaluate a literary work -- that the work itself cannot stand on its own. He destroys the opposite extreme of literary criticism -- essentially the whole approach of deconstructionism - in "The Library of Babel" in which interpretations are read into works independent of any intended meaning of the authors (the books in the story are simply random combinations of symbols), and this was written in the late 1940s, 20 years before "deconstruction" was coined. Taken together he is defending the idea that books actually convey meaning themselves that a reader can apprehend.

      And "Tlon, Uqbar, Orbus Tertius" is possible the most idea-dense work in the history of literature, it is a short story that plays with more concepts (with striking effect) than most "novels of ideas" (at the end of the 20th century the New York Times picked it as the greatest short story of the century). I am amused that the Wikipedia entry on the story (last time I checked) is longer than the story itself, but still fails to do justice to all the ideas presented.

      Borges was easily the greatest writer of the 20th Century never to receive a Nobel Prize, and I would argue the greatest writer of the 20th Century, period.

      --
      Starships were meant to fly, Hands up and touch the sky - Nicky Minaj
    14. Re:This is actually more impressive than it sounds by hedwards · · Score: 1

      Yes, but is it actually something that's required by the field you work in? I think that's the point, a person who works in a field which doesn't require one to take, let alone pass, calculus as a part of the cost of admission can easily be forgiven for forgetting that sort of thing. But a person who works in a field that does require that sort of knowledge is just a complete idiot.

      But, it's not just that he's apparently forgotten about it, it's that people have allowed him to apparently name the process after himself when it's at best a novel use of an old technique, and probably not even that.

    15. Re:This is actually more impressive than it sounds by demonlapin · · Score: 1

      If it's a biomechanical problem, that doc had damn well better have had physics.

      Why on earth would you want a doctor to do that, instead of a materials engineer who's actually going to design the implant? The engineer does this every day. The doctor does not.

    16. Re:This is actually more impressive than it sounds by Locke2005 · · Score: 1

      I use highschool math (geometry and trigonometry) on a daily basis. I haven't done any real calculus since college, but the concepts of integrals and differentials are important to understand. However, if you asked me to calculate the area under a curve, I'd whip out a program in about a half hour to do it by numerical method -- no calculus required.

      --
      I've abandoned my search for truth; now I'm just looking for some useful delusions.
    17. Re:This is actually more impressive than it sounds by fishexe · · Score: 1

      I believe what makes this impressive even though he could have Googled the topic quite easily...

      Questionable...how easy would it have been to invent Google in 1994? Probably tougher than inventing the trapezoid method. He would have had to first invent it in order to use it, back then.

      --
      "I don't care about the Constitution!" --Bill O'Reilly, November 17, 2009
    18. Re:This is actually more impressive than it sounds by DragonWriter · · Score: 1

      Apparently most slashdotters do math on a daily basis. I can't recall the last time I needed to do integrals - in fact, if you had asked me 5 minutes ago how to calculate the area under a curve, I would have needed a trip to google/wolfram to look it up.

      Can't really fault someone who isn't doing it on a daily basis for not knowing the "obvious" answer.

      Honestly, I'd probably have to pull out a math book to do any but the most basic calculus, having not had much call to use it in nearly 15 years.

      That being said, if I had a problem dealing with areas under curves, I would recognize that it was an area of mathematics for which there were well-developed mechanisms, and while it might be more convenient to work out a practical method for the particular problem without searching for something that already had been done, I wouldn't be trying to publish a paper on that method as a novel mechanism without doing at least a cursory review of what was known in the field.

      And while web search tools might not have been as well-developed in 1994 as they are today, libraries had been invented and how to use them for literature reviews has been a fairly routine part of even undergraduate college education for quite a long time.

    19. Re:This is actually more impressive than it sounds by PSandusky · · Score: 1

      Why on earth would you want a doctor to do that, instead of a materials engineer who's actually going to design the implant? The engineer does this every day. The doctor does not.

      I want them both to have that knowledge -- the engineer, who's designing to specs based on the literature and on what's feasible for use in the OR, and the doctor, who's going to be installing it and following up to make sure it's working as it should.

      At the absolute least, if they're not talking at all to begin with, I don't want that implant.

      --
      "What's the use in being grown up if you can't be childish sometimes?" --Fourth Doctor, "Robot"
    20. Re:This is actually more impressive than it sounds by Anonymous Coward · · Score: 0

      Forgetting how to do a thing and forgetting that that thing exists are different.

    21. Re:This is actually more impressive than it sounds by sjames · · Score: 1

      He MUST have needed to do it fairly often or he wouldn't have spent time figuring out how to do it. Meanwhile, I presume the paper was refereed? Not even one of them noticed that it was a well established method?

    22. Re:This is actually more impressive than it sounds by Anonymous Coward · · Score: 0

      True, but at least you know that they exist. And that is enough to know you are better off googling it than you are reinventing it (or inventing it, as he probably thought he was doing).

    23. Re:This is actually more impressive than it sounds by FrootLoops · · Score: 1

      I could work up quite a list here

      I'm genuinely curious--when would, say, my ER doctor use material from an intro physics course, specifically?

    24. Re:This is actually more impressive than it sounds by kaffiene · · Score: 0

      You can, however, fault them for not thinking: "this is a math problem, I wonder if those 'mathematicians' might have already come up with a solution to this problem".

    25. Re:This is actually more impressive than it sounds by robi5 · · Score: 1

      Sorry but this dr deserves to be shot, next thing he'll be figuring out how to measure the sides of a triangle given then lengths of the other two sides.

      Questions:
      - How many sides does a triangle have, beyond the two given sides?
      - Is it trivial to calculate one side of a triangle, given the lengths of the other two sides?

    26. Re:This is actually more impressive than it sounds by ocean_soul · · Score: 1

      But you can fault him for not looking it up, it's a serch on google or wikipedia away. Als, is this a peer-reviewed journal? If so, the reviewers are guilty too, as are the editors.

  10. Number of citations... by Anonymous Coward · · Score: 2, Interesting

    The first link is even more amusing than the paper itself. Look at the number of citations the paper received!!! I mean, WTF???

    1. Re:Number of citations... by Anonymous Coward · · Score: 0

      Anyone who has ever taught premedical students knows that this is absolutely unsurprising.

    2. Re:Number of citations... by jcr · · Score: 2, Funny

      Are pre-meds known for mathematical incompetence or something? I've never had to deal with them.

      -jcr

      --
      The only title of honor that a tyrant can grant is "Enemy of the State."
    3. Re:Number of citations... by bothemeson · · Score: 5, Informative
      in a word, yes, check out almost any medical stats methodology - it looks sort of right if you have only degree level maths but, eg, statisticians have pretty much given up on pointing out that treating binned averages of a population as raw data typically invalidates the method under consideration, rendering the results speculative at best.

      researchers will tend to insist that what they have handed over is raw data because they have (or a research associate, or Excel! has) only performed a few simple transformations on it and, that being many months ago, probably have forgotten the fact. one can either keep performing extra (unpaid and unasked for) analyses showing that this distribution verges on the impossible (and risk not be asked for help in future) or shut up and get cited and allow your reputation to grow

      having said that, the same is true for many scientific practitioners and, indeed, the majority of published journal papers - the peer review generally doesn't extend to a competent mathematical practitioner (still less frequently a statistician) and most academics do not appear to consider that anything beyond their (often high school- or graduate-level) understanding of mathematics is required, after all (like the paper concerned here) building on previously published and highly cited work of little worth is all that's required for a career

    4. Re:Number of citations... by 0100010001010011 · · Score: 3, Interesting

      I would skim my girlfriend's Journal of the American Medical Association (JAMA) magazines occasionally and the studies people did in the same of science were appalling.

      They'd make medical conclusions on best fit curves with regressions in the 0.5 range or populations of ~10-20 people. I understand the desire to move to a statistics based approach in medicine, but someone should teach medical researchers statistics. I've worked with engineers that have never had a stats course and they punch data into Excel. Get a curve fit with a ever no slight correlation and get all excited.

      Compared to my boss who makes us explain every single outlier point, why it happened, and if possible collect new data if we can fix what went wrong.

    5. Re:Number of citations... by bothemeson · · Score: 2
      You have my sympathy :-) It does sound like your boss has a tight grip - hopefully s/he does know that outliers can be random artifacts..!

      One of my favourite examples of this sort of thing is a radiocarbon calibration package (OxCal), put together by a physicist at Oxford University which has a popular radio-carbon lab.

      This software provides access to an option that was only originally there to do quick and dirty tests of the software itself, it has proved to be the most commonly used function (as cited in journals) despite being a 'black box' with no methodological basis because it 'gives the smoothest curve'! What a life, huh?

    6. Re:Number of citations... by demonlapin · · Score: 2

      To be fair, most medical research sucks because it's very hard and very expensive to do a decent study, and it's unethical to do all the really good ones. The bad statistics are just a side effect.

    7. Re:Number of citations... by bothemeson · · Score: 1
      Sorry dude, I call cop-out - I've seen many, many, research proposals and been a part of rating them for funding purposes.

      Hardly any peer reviewers know enough about how to rate the maths part of the methodology, even where the Principle Investigator mentions one.

      Mainly you get a bit of waffle that might mention a software package or previous piece of uninspiring work. Given no alternatives they get funded.

    8. Re:Number of citations... by Anonymous Coward · · Score: 0

      I can back this up. Most medical research would count a student T-test and a P of .5 as statistics done well. I got into a bit of a verbal scuffle with some prominent researchers over some simple statistics over-reliance. They were presenting a set of experiments done over a years time with great enthusiasm. The assembled crowd (with lots of prominent researchers) was excited about discussing the implications of the results - but I had concerns about the data. So I asked a couple of questions. It took a while, but the group finally listened to the insignificant little grad student and realized that their P values meant squat the way they used it. They were comparing values from test runs done at different times to each other - internally each had a good P value, but the positive control from one run might be lower than the negative control from another. They had a really crappy assay. The crowd eventually turned on the researchers as they figured out that the data was meaningless as presented.

      That's always been a lesson to me. Always start with the data alone and don't go anywhere near the discussion or conclusion before you understand the data and try to come up with your own analysis. It is much easier to see if the author is on point if you do it that way.

      In the end I helped the authors of that paper re-analyze the data making better use of internal control values. They actually did have something of an effect once you controlled the data, but I still think they had a crap assay. If your low/high values for one run are 100/1,000 and for another run are 10,000/20,000 I really don't think you should be relying on that assay for anything until you get more reproduceable results.

    9. Re:Number of citations... by yerM)M · · Score: 1

      Your exact reasoning is why I made this: Confidence Levels Some people are still surprised that with 6-10 people, an r^2 of 0.9 might not mean what they think it does.

    10. Re:Number of citations... by synthespian · · Score: 1

      I'm on a mission...It is to convince doctors I know to shun Excel as it were the Devil...

      Excel is a piece of trash and should never be used for serious medical statistics. The statistical community has pointed out - many times - how Excel failed miserably in statistical tests.

      It's fine for counting cents or dollars, but doing medical research with it might result actual harm.

      Doctors should stick to SPSS. If they're feeling real adventurous, they can do what *everyone* in the statistics community does and use R (or do like the engineers and use Matlab). But don't use Excel! NEVER! NEVER, NEVER, NEVER!!!!

      --
      Main difference between the BSD license and the GPL license: one is from California and the other is from Massachusetts
    11. Re:Number of citations... by Anonymous Coward · · Score: 0

      Compared to my boss who makes us explain every single outlier point...

      You're lucky - I have to fight with a QA team measuring performance that doesn't understand that deltas smaller than the standard deviation of their measurements don't show anything. And, supposedly, they're CS majors. Best trained personnel India can give us.

      Luckily, my boss is an engineer and understands these things.

    12. Re:Number of citations... by bothemeson · · Score: 1
      I'm mainly with you on that one, but SPSS is also a reckless black box as far as I'm concerned. Too many of the options have no statistical legitimacy, merely having been found useful in the past as quick fixes.

      Given the complexity of interrelated issues in medical stats, I'd prefer people to get serious about their science and use Bayesian methods so that competing theories can be compared for a wide range of parameters. Harnessing stats to the classical reasoning that has no validity in applications was only responsible when computing power was the limiting factor. R and C/C++ would be my preferred current vectors of persuasion. Best wishes for your mission...

  11. I hate it when that happens by Fractal+Dice · · Score: 5, Insightful

    Nothing spoils the joy of having an original idea more than discovering it's actually a basic concept of another discipline.

    1. Re:I hate it when that happens by beakerMeep · · Score: 5, Funny

      I was gonna say the same thing until I read your post :(

      --
      meep
    2. Re:I hate it when that happens by Eudial · · Score: 0

      I was gonna say the same thing until I read your post.

      --
      GAAH! MY PRINTER IS ON FIRE!!! PUT IT OUT! PUT IT OUT!
    3. Re:I hate it when that happens by pedantic+bore · · Score: 4, Insightful

      Nothing spoils the joy of having an original idea more than discovering it's actually a basic concept of another discipline.

      I used to feel that way, but now I don't. I've learned to take some comfort from the fact that if it's already a time-tested and useful idea, I can feel confident that I got it right.

      In my own field, there's often as much as a ten year lag before some young upstart grad student comes along and proves that my ideas are bogus, and I hate the suspense.

      --
      Am I part of the core demographic for Swedish Fish?
    4. Re:I hate it when that happens by hedwards · · Score: 1

      Except that as a medical doctor he already knew that or should have known about using trapezoids to approximate the area under the curve as well as the rectangles that he did use.

    5. Re:I hate it when that happens by the+phantom · · Score: 1

      I'm still going to say the same thing, but I am going to publish it as "Henderson's Axiom."

    6. Re:I hate it when that happens by Anonymous Coward · · Score: 0

      Where is the +2 disturbingly on topic?

    7. Re:I hate it when that happens by fishexe · · Score: 1

      Nothing spoils the joy of having an original idea more than discovering it's actually a basic concept of another discipline.

      I used to feel that way, but now I don't. I've learned to take some comfort from the fact that if it's already a time-tested and useful idea, I can feel confident that I got it right.

      Yeah, I had what I thought was a new idea in economics and was dreading the battle to get my idea established in a world full of hostile economists, until I found out my idea was published 10 years ago by a real economist with a PhD and infinitely more credibility than myself. Now I'm totally relieved because instead of fighting to get people to take seriously the economic thinking of a young non-economist, I can just say "You should read Robert Prasch's work on labor supply s-curves".

      I also get to feel good about my idea having merit instead of dread that I might be totally wrong.

      --
      "I don't care about the Constitution!" --Bill O'Reilly, November 17, 2009
    8. Re:I hate it when that happens by Anonymous Coward · · Score: 0

      It was modded -5, Redundant.

  12. Already blogged about here by Anonymous Coward · · Score: 1

    As the OP is probably already aware of, it was recently blogged about by John D. Cook in two entries:

    1. 'Three surprises with the trapezoid rule' on Dec 2, 2010:

        http://www.johndcook.com/blog/2010/12/02/three-surprises-with-the-trapezoid-rule/

    2. 'You can be a hero with a simple idea' on Dec 3, 2010:

        http://www.johndcook.com/blog/2010/12/03/you-can-be-a-hero-with-a-simple-idea/

    1. Re:Already blogged about here by Legion303 · · Score: 1

      Hi, John!

    2. Re:Already blogged about here by Anonymous Coward · · Score: 0

      Actually not. But I guess that's hard to prove. I rather thought someone read JC's blog and posted his/her own version to slashdot. /H

  13. Doing well by ravenacious · · Score: 3, Insightful

    Tai's model is obviously doing well its field, it has 38 citations with the last being in 2010.

    1. Re:Doing well by robi5 · · Score: 1

      Maybe all 38 studies cited it as an example for either ineffective peer review or meaningless impact metrics.

  14. Re:Google the topic? by MartijnL · · Score: 1

    Not if he had 1.21 Gigawatts first.

  15. Y'all just got Riemann-rolled by wramsdel · · Score: 2

    Did it ever occur to anyone that the author is nothing more than a publication troll, seeing what exactly he can get away with? It's possible that the joke's on the journal, not the author.

    1. Re:Y'all just got Riemann-rolled by guyminuslife · · Score: 4, Insightful

      Even if he isn't, the failure is on the journal for not properly reviewing the paper. If it's purportedly a mathematical paper (as in, the title starts with, "A Mathematical Model for....") then perhaps a mathematician should look at it.

      --
      I don't believe in time. It's a grand conspiracy designed to sell watches.
    2. Re:Y'all just got Riemann-rolled by Anonymous Coward · · Score: 0

      did even they have trolls in the 90's?

    3. Re:Y'all just got Riemann-rolled by MartinSchou · · Score: 2

      Of course not. A mathematician might have a PhD, but we all know he's not a doctor, and thus he's not a peer, and you need a peer to peer-review an article.

    4. Re:Y'all just got Riemann-rolled by Anonymous Coward · · Score: 0

      Of course he's a peer. If he doesn't pee he'll die!

  16. No calculus? by wickerprints · · Score: 4, Interesting

    I don't know what kind of academic curriculum a student could choose these days that would permit them to pursue a career in medical research without ever having learned basic calculus at SOME point. I mean, when I was in high school, having taken AP Calculus AB was more or less a requirement for applying to almost any reasonably competitive four-year university. How do you enter a pre-med program without even knowing what an integral or derivative is? It seems completely implausible to me, given how competitive these programs have become. Moreover, that this author somehow thought it novel to estimate the area under a curve via trapezoidal approximation is not nearly as bewildering as the fact that they should have had the basic research skills to find that their "discovery" amounted to something that is regularly taught to high school kids. To me, that's the real scandal--that someone who can write a journal article doesn't know or care to look for prior research.

    1. Re:No calculus? by Beryllium+Sphere(tm) · · Score: 4, Interesting

      The scary part is this sentence:
      "Other formulas widely applied by researchers under- or overestimated total area under a metabolic curve by a great margin".

    2. Re:No calculus? by benjamindees · · Score: 1

      Heh, time for your shot. Let's see, how much morphine do you need, "a squared" plus "b squared" equals, oh, hell, 5 cc!

      --
      "I assumed blithely that there were no elves out there in the darkness"
    3. Re:No calculus? by tirefire · · Score: 1

      I don't know what kind of academic curriculum a student could choose these days that would permit them to pursue a career in medical research without ever having learned basic calculus at SOME point.

      IME, math classes aren't that good for actually learning math unless you love math for math's sake. If you see math as a means to an end (like a med student very well might), it's pretty easy to forget the math you learn in 300-seat classes like "Calc II", only to re-discover it all on your own once you use it within a process you really care about. It looks like that's what this guy did, only he just got a little carried away with the celebration.

    4. Re:No calculus? by Delgul · · Score: 2

      And it becomes really, really scary when you realize that this is the level of calculus applied to life-saving techniques in medical science. It can probably explain a lot of medical failures made every year...

    5. Re:No calculus? by Anonymous Coward · · Score: 0

      I've met more than one doctor that did not know calculus. One even said when I inquired what he did not understand about what I had just said that he had become a medical doctor because he was bad at math. You see this sort of attitude in other disciplines, too: No need to know math because I'm becoming a language teacher, no need to know spelling, grammar, and writing style for my native language (or math or physics or ...) because I'm becoming a computer scientist etc.

    6. Re:No calculus? by tibit · · Score: 1

      This deserves to be modded up. Very true.

      --
      A successful API design takes a mixture of software design and pedagogy.
    7. Re:No calculus? by bakes · · Score: 1

      I don't think many medial mishaps would be corrected by a better understanding of calculus.

      Although I think getting surgeons to simply count the number of utensils on the bench before and after each operation would help quite a lot.

      --
      Ho! Haha! Guard! Turn! Parry! Dodge! Spin! Ha! Thrust!
    8. Re:No calculus? by demonlapin · · Score: 1

      getting surgeons to simply count the number of utensils on the bench

      Already done. Retained instruments can only happen when someone counts wrong.

    9. Re:No calculus? by the+phantom · · Score: 1

      ven so, there should be a recognition that one has done the work before. You might forget what the formula is, or how to solve a certain kind of problem, but to utterly fail to recognize that you have ever seen such a problem before is stunning. I may not remember L'Hopital's rule. I may not remember even the name of L'Hopital's rule. But if I encounter limit of the form f(x)/g(x), I am going to remember that there was a way for working with those, and pull out my Calculus I text (or run to Wikipedia, or my nearest math department).

      The problem here is not that the doctor reinvented the wheel, but that he was so incompetent that he did not even know that the wheel had been invented, nor did he know that he had seen it before, nor did he even have the insight to find an expert in the field for help.

    10. Re:No calculus? by fishbowl · · Score: 1

      I think it might be important to note that he's the kind of M.D. who ends up writing "papers", but isn't the kind of M.D. who is a "M.D., Ph.D."

      There's a pretty obvious Peter Principle at work here.

      --
      -fb Everything not expressly forbidden is now mandatory.
    11. Re:No calculus? by MikeBabcock · · Score: 1

      True to your comment, Hopkins has shown that making a medical checklist is key to reducing errors in hospitals. Simply creating a list of things to do, then making sure they get followed every time reduces errors dramatically.

      --
      - Michael T. Babcock (Yes, I blog)
    12. Re:No calculus? by fishexe · · Score: 1

      And it becomes really, really scary when you realize that this is the level of calculus applied to life-saving techniques in medical science. It can probably explain a lot of medical failures made every year...

      Well, given that they just last year began given widespread adoption to checklists (which seem like such a basic concept!), I'll give them a few more years to get up to the level of appreciating calculus, and in the meantime try my hardest to stay healthy enough that I don't need life-saving medical treatment.

      --
      "I don't care about the Constitution!" --Bill O'Reilly, November 17, 2009
    13. Re:No calculus? by fishexe · · Score: 2

      I don't think many medial mishaps would be corrected by a better understanding of calculus.

      See now, it may actually be that a better understanding of calculus would result in more medical mishaps. Here's why:

      Although I think getting surgeons to simply count the number of utensils on the bench before and after each operation would help quite a lot.

      It may just be a fluke, but I and several of my classmates observed when we got to high school calc that the higher we got in math the more basic arithmetic and counting errors we made. If this phenomenon holds beyond our ridiculously small self-selected sample (which is a BIG if) then the medical profession may be doing us a big favor by keeping their calculus skills dull, thus keeping their counting skills sharp, thus reducing the number of utensils that get left inside patients. Just a hypothesis.

      --
      "I don't care about the Constitution!" --Bill O'Reilly, November 17, 2009
  17. And 40 papers reference this one. by Animats · · Score: 5, Interesting

    About 40 papers supposedly reference this one.

    Of course, I can't read them, because they're behind a paywall. The rights to the paper are owned by the American Diabetes Association, which supports something called the "Washington DC Principles for Free Access to Science". This is a lobbying group against free access to scientific publications. They've been fighting open publication since 1994. Here's their latest output, opposition to the Federal Research Public Access Act, which would force all Government-funded research papers onto public servers.

    1. Re:And 40 papers reference this one. by oldhack · · Score: 1

      There is just too much money (and commercial interest) and not enough science in medical science.

      --
      Fuck systemd. Fuck Redhat. Fuck Soylent, too. Wait, scratch the last one.
    2. Re:And 40 papers reference this one. by chichilalescu · · Score: 1

      Seeing it's so popular, I don't understand why the guy didn't patent his idea... to tell you the truth, I do believe you could use it for technology.

      --
      new sig
    3. Re:And 40 papers reference this one. by fartingfool · · Score: 1

      I could just be acting ignorant here, but how in the hell do these people get funded to reinvent the wheel. Not only that, aren't these papers peer reviewed? The few papers that I've seen go through the process (I didn't necessarily contribute) were scrutinized a ridiculous amount. Ahh the agony of seeing a proven system fail by user error.

    4. Re:And 40 papers reference this one. by Anonymous Coward · · Score: 0

      Exactly my thoughts! I didn't want the ./ crowd going into recursion commenting how I reinvented the same observation, so I scrolled down.

      I thought the same but then I realized the reason. Obviously, he isn't bright enough to figure out that his invention is couple of hundred years old, so he also "didn't realize" he could patent. Given how USPTO works, I wouldn't have been surprised if he had actually been granted one.

    5. Re:And 40 papers reference this one. by eyenot · · Score: 1

      Seriously of them? This group has a name that sounds like they support free access to research papers; yet, counterintuitively, they are opposed to research being freely available? And yet, ironically, their latest work sounds like it would force a great deal of scientific research into the public eye? ... ... ... And this guy who can get recognition for something that's, I dunno, as old as pythagoras or some shit? (Not a mathematician). ... ... ... Is it just me or can you get a lot out of the world just by doing the old "hey went THIS way! No he went THAT way no he went THISwayhewentTHATwayhewentTHISwashewentTHATwayhewent whoops, where'd your wallet go? I just saw the nabber! He went THIS way! No he went THAT way! No he went THIS way he went THAT way he went THISwayhewentTHATwayhewentTHIS..." BUT ON A PROFESSIONAL BASIS?!?!

      --
      "Stratigraphically the origin of agriculture and thermonuclear destruction will appear essentially simultaneous" -- Lee
    6. Re:And 40 papers reference this one. by manicb · · Score: 1

      Disappointingly, the first three citations refer to "the trapezoid rule", rather than "Tai's rule", suggesting that either they included it for the lulz, or just didn't want to refer to a maths textbook. The fourth citation, Hwu et al, does actually refer to "Tai's mathematical model".

    7. Re:And 40 papers reference this one. by Anonymous Coward · · Score: 0

      actually, about 137 reference this paper (according to google scholar). thats an even bigger joke. The latest of which states that it is the trap rule...then cites this paper.

    8. Re:And 40 papers reference this one. by fishexe · · Score: 1

      Given how USPTO works, I wouldn't have been surprised if he had actually been granted one.

      In fact, these days, I wouldn't be surprised if he had actually been granted one without applying.

      --
      "I don't care about the Constitution!" --Bill O'Reilly, November 17, 2009
  18. No surprise by hax4bux · · Score: 3, Insightful

    Life scientists don't get the same calculus we get as engineers.

    This summer I helped a MD discover that factorials yield largish integers. At first I thought he was mocking me but it turned out that he really was serious.

    Turns out that MD's are ordinary mortals after all.

    1. Re:No surprise by fartingfool · · Score: 1

      If you get take calculus, you would have covered this. The problem is nobody remembers it because it was a blip in class and every problem in the future that would use it was simply deemed "too difficult to worry about". Always gotta use those shortcuts and if you have to do it longhand, well..screw it, next problem.

    2. Re:No surprise by Anonymous Coward · · Score: 4, Funny

      It's like that joke: what is 2+2?

      Engineering student: (punching into a calculator) 4.000000000001

      Math student: (after five months) I don't know, but I can prove it converges.

      Premed: (immediately, from memory) The Gettysburg Address!

    3. Re:No surprise by dbIII · · Score: 1

      Unless your education system is completely fucked up then students should be learning this in their second last year of high school if they have any ambition to do a difficult course such as medicine.

    4. Re:No surprise by julesh · · Score: 2

      To be fair, I don't think high school courses usually cover numerical approximations to integration. At least here in the UK, our equivalent courses cover analytical integration of continuous functions in one variable, with just a brief covering of the principles behind integration (using the rectangular approximation, IIRC, along with the notion that as the width of the rectangles approach zero the error introduced disappears). But only the analytical approach is actually tested, so I wouldn't be surprised to find some schools skip teaching the basic principles these days. Numerical methods aren't covered at all until you get to university level, at which point they're an optional course in most (all?) subjects.

    5. Re:No surprise by TapeCutter · · Score: 1

      This is often the problem with the way maths and science are taught, they give you a grab bag of factiods and procedures but ommit the basic concepts. The result is that many people remeber bits and pieces but cannot start to put the jigsaw together.

      As Sagan put it..."Science is more than a body of knowledge; it is a way of thinking. I have a foreboding of an America in my children's or grand children's time ... when awesome technological powers are in the hands of a very few, and no one representing the public interest can even grasp the issues; when the people have lost the ability to set their own agendas or knowledgeably question those in authority; when clutching our crystals and nervously consulting our horoscopes, our critical faculties in decline, unable to distinguish between what feels good and what's true, we slide, almost without noticing, back into superstitions and darkness."

      --
      And did you exchange a walk on part in the war for a lead role in a cage? - Pink Floyd.
    6. Re:No surprise by pjt33 · · Score: 1

      I was taught quadrature methods (although under the name of "finding the area under a curve") as part of GCSE. I think in the third year of secondary school. So it's pre-high-school if I understand the US system correctly.

    7. Re:No surprise by Belial6 · · Score: 3, Interesting

      I agree. That points out a anecdote that happened just this evening with my 6 year old son. Understand, we are one of those 'crazy' home school families, so, yes, it will seem a little bizarre. Anyway, we were playing "Matter", a solid/liquid/gas trivia game with our son. He got the question "when you freeze water, it's weight A) get lighter, B) stays the same C) gets heavier.

      When our son was clearly guessing at the answer, we we simply walked through it. It went like this:

      Dad: What is water made of?
      Son: Hydrogen and Oxygen.
      Dad: What is Hydrogen and Oxygen made of?
      Son: Atoms?
      Dad: What makes atoms weigh something?
      Son: Gravity.
      Dad: What is gravity?
      Son: The force that pulls matter together.
      Dad: OK, what happens what are you doing to the ice when you melt it?
      Son: Making it hotter.
      Dad: So, what happens to the atoms?
      Son: The move faster?
      Dad: And?
      Son: They take up more space?
      Dad: And?
      Son: B, its weight stays the same!

      This is not how math and science are normally taught. Normally, the same information is taught as "If you freeze water it's weight doesn't change. Remember that." If your lucky it is "If you freeze matter, its weight doesn't change. Remember that."

      Yes, we could have just had him memorize the trivia, but instead we helped him "Rediscover" that mass doesn't change weight when you heat it.
      The fact that a public school would just have him memorize the fact is one of the reasons we home school.

    8. Re:No surprise by Anonymous Coward · · Score: 0

      Engineers don't get the same calculus we get as mathematicians.

    9. Re:No surprise by Anonymous Coward · · Score: 0

      maybe he did his last year only ones...

    10. Re:No surprise by andrewbaldwin · · Score: 1

      Salesman: The maths geeks will tell you it's 4 but for today only I can let you have it for 3.75

      Government statistician: What do you want it to be?

      Tabloid newspaper: Shock horror! Four in a bed orgy!

    11. Re:No surprise by Anonymous Coward · · Score: 1, Informative

      You're unlucky, water is one of the few substance than expands when it solidifies. Why ? It's something to do with thermodynamics and the the state diagram of water and the slope of the solidification/liquefaction curve. Second ice doesn't get hotter when you melt it, it
      first get to 0 degree celsius then it melts while staying at that temperature during the melting process (both the ice and the water are at that same temperature).

    12. Re:No surprise by dbIII · · Score: 1

      To be fair, I don't think high school courses usually cover numerical approximations to integration.

      In the high school textbooks I've seen (only 3 I have to say) that is how calculus is introduced - first graph paper then going onto approximations based on the shape of the area under the curve. I've met undergraduates that have forgotten but it usually comes back to them eventually.

    13. Re:No surprise by Anonymous Coward · · Score: 0

      When I was in HS in Texas in the late 1990s, Calculus I and II were elective courses that only the geeks took. Of course I took them both and earned college credit. We covered things like the trapezoidal rule, and then moved on to real integration. It's not that high schools don't teach it - the problem is that ignorance is celebrated by so many people, so the "smart" classes are marginalized.

    14. Re:No surprise by Anonymous Coward · · Score: 1

      Then your local public school sucks ass. Seriously. Go sharpen some pitchforks and light some torches. I taught physics and chemistry in public and private high schools and at public community colleges for a few years, before discovering that raising kids on two teachers' salaries also sucks ass.

      I heard a lot of complaints about poor public school performance from home schoolers... a great many with precisely the same wording. It made me suspect something of an echo chamber effect in the home school community.

    15. Re:No surprise by Dan+Dankleton · · Score: 1

      When you are learning, it's easier (and probably best) to start with the simple models and then add in more complex things later on - otherwise there would just be too many facts to assimilate in one go.

      The GP's 6 year old son may now have incorrect knowledge of what happens to the density of water as temperature changes, and the precise behaviour of a melting solid - but his reasoning was intelligent and correct for a simple model of matter. As he gets older he can learn a more complete model but I'm pretty sure he currently knows more about physics than I did when I was 6!

    16. Re:No surprise by dbIII · · Score: 1
      The total mass doesn't change so it's a good example so long as volume isn't considered. Even then there's a few phases of metal alloys that also expand on cooling/freezing anyway, not everything expands because it all depends on what structure the new phase has.

      Second ice doesn't get hotter when you melt it

      It's the same with pretty well all single phase materials. So long as you have even heating and good heat transfer you have to melt the lot before the temperature rises again. That's how it's so easy to get the melting points of fairly pure materials and why we've known some for centuries.

    17. Re:No surprise by dbIII · · Score: 1

      Ice isn't the only thing that expands on solidification or solid state phase change so it's not a bad example at all. Even something as mundane as some grey cast irons do that and there's probably an example of one of those alloys in your kitchen. I'm not poking fun at you, I used to teach engineering students a bit about molten metal, solidification, heat treatment etc a bit over a decade ago and some of them had problems understanding the volume changes as well.
      Besides, mass was mentioned instead of volume in the GP post anyway.

    18. Re:No surprise by Anonymous Coward · · Score: 0

      The mass will of course be the same, however, the weight in air will decrease due to increased buoyancy from water expanding on freezing.

    19. Re:No surprise by hedwards · · Score: 1

      I see they also fail at grammar and/or spelling.

    20. Re:No surprise by Anonymous Coward · · Score: 0

      There are several errors in this line of reasoning.

      1) Water takes up less space as a liquid than as a solid. Water is a special case that has a crystal structure that gives it more volume as a solid.

      2) You are confusing mass and weight. The mass may not change but when the state of matter changes the buoyancy changes which has an effect on the weight observed on a scale in the atmosphere.

    21. Re:No surprise by Anonymous Coward · · Score: 1

      "Crazy" is right. Teach him 20th century physics not this outdated 19th century stuff. Faster (or bigger or hotter) atoms do weigh more.

    22. Re:No surprise by Blakey+Rat · · Score: 1

      I hate to break this to you, but I can't remember jack I learned during my "second last year" (???) in high school. Hell, most of college is a blur, too. (Yes, I know, you post on Slashdot so you must have an amazing ROBOT MIND, but maybe your amazing ROBOT MIND can conceive of the notion that maybe, just maybe, some people forget some stuff they learned decades ago.)

      When do students learn what the English construct "second last year" means in this context? Because I certainly haven't been exposed to that yet.

    23. Re:No surprise by chichilalescu · · Score: 1

      why don't you go all the way? call him an idiot, and tell him that if the atoms move faster, they have a greater kinetic energy, and all that energy has mass, therefore weight!

      --
      new sig
    24. Re:No surprise by Anonymous Coward · · Score: 0

      This is not how math and science are normally taught. Normally, the same information is taught as "If you freeze water it's weight doesn't change. Remember that." If your lucky it is "If you freeze matter, its weight doesn't change. Remember that."

      Except that's an incorrect conclusion, and is just trivia itself.

      When you freeze matter, its *mass* doesn't change. (Kilograms are not a weight!) Phase changes and gravity have nothing to do with each other. Might want to think about putting the kid into a real school...

    25. Re:No surprise by thoromyr · · Score: 1

      so I ask you (as if an anonymous coward would answer), which weighs more: a pound of feathers or a pound of lead? hint, water expanding when it solidifies doesn't change its weight.

      and for teaching a six year old the "to melt ice you make it hotter/apply heat" is accurate. It may not be a complete statement with all details, but then again, neither is yours.

      Of course, the real joke is whoever modded your tripe insightful...

    26. Re:No surprise by Anonymous Coward · · Score: 0

      when ice melts it takes up less space

    27. Re:No surprise by Anonymous Coward · · Score: 0

      What schools do you have near you? Serious.....

      This is a really really old method of teaching, called Maieutics and based on Socrates and Plato.
      Newer variants are called "Fragend Entwickelnde Methode" (method of developing [the answer] by questions) in german didactic texts - and is seen as "ancient", and too much centered on the teacher instead of newer methods (but used quite often).

      Not every school is as bad today as it was 30 years ago....

    28. Re:No surprise by Jookey · · Score: 1

      Economist:(shuts the blinds and locks the door)How much do you want it to equal?

    29. Re:No surprise by rotor · · Score: 1

      I love it. Someone claiming the superiority of his home schooling over public schooling, but then an AC points out the flaws in his discussion. Both of those flaws, by the way, were taught to me in my public school education.

      I'm not saying that home schooling won't work, but if you're going to pick on public schools for poor teaching methods, at least make sure that your teaching methods and facts are correct.

      --
      Addlepated - punk & metal
    30. Re:No surprise by Anonymous Coward · · Score: 0

      that's wierd. cause i learned in public school that if you melt ice it takes up less space.

      Shitty public schools.

      All in all, it's good that ice floats.

       

    31. Re:No surprise by Anonymous Coward · · Score: 0

      You'll want to clarify with your son that when frozen water melts, it actually takes up less space because frozen water has the unique property that its molecular shape creates a relatively widely-spaced latticework and as a result the same quantity of liquid water takes up less space.

      You can then prove this to him by demonstrating that ice floats. That said, you're stuck with the traditional school approach of just having him memorize this fact. Actually understanding why the molecular shape of water results in a less dense frozen form is impractical, at this stage.

    32. Re:No surprise by Anonymous Coward · · Score: 0

      I'd think about refining the definition of gravity a bit.

    33. Re:No surprise by Anonymous Coward · · Score: 0

      You're right to say that "MD's are ordinary mortals" but keep in mind that they are the minority of life scientists. Actual life scientists who get a PhD look down on MDs, pre-meds, and all the rest, and we usually have experience in multivariable calculus and linear algebra by the time we apply for grad school. Woe to the undergraduate student helper who asks, "Wait, why do you hate pre-meds like me?"

    34. Re:No surprise by Anonymous Coward · · Score: 0

      In the course of the discussion, the kid learned one thing "freezing water doesn't change its mass", and two falsehoods "water contract when it solidifies" and "ice get hotter when it melts". The second one is of relative importace as the true explanation is somewhat too complicated for a six year old kid. But the first error was super easy to correct and "water is one of the exceptions and one of the substance that expands when it solidifies" is perfectly understandable explanation by a kid. Learning two false facts in order to learn a true fact is not productive at all.

    35. Re:No surprise by Anonymous Coward · · Score: 0

      You're misinforming your son. Ice is less dense than water; the atoms do not take up more space due to hydrogen bonding. Think about how lakes freeze.
      http://en.wikipedia.org/wiki/Properties_of_water#Density_of_water_and_ice

    36. Re:No surprise by sjames · · Score: 1

      My high school covered it in my junior year (Analysis). The next year we built on that in Calculus. Those weren't mandatory courses for graduation, but were strongly urged for anyone bound for science or engineering.

    37. Re:No surprise by Anonymous Coward · · Score: 0

      link for this trivia game please. it is relevant to my interests.

    38. Re:No surprise by Anonymous Coward · · Score: 0

      This is not how math and science are normally taught. Normally, the same information is taught as "If you freeze water it's weight doesn't change. Remember that." If your lucky it is "If you freeze matter, its weight doesn't change. Remember that."

      So, tell me again why ice floats?

      Maybe you should teach yourself the density of matter.

      Then teach yourself about molar mass and specific density.

      Then come on here and proclaim you know what you talking about.

    39. Re:No surprise by Anonymous Coward · · Score: 0

      The fact that a public school would just have him memorize the fact is one of the reasons we home school.

      Dad: What makes atoms weigh something?
      Son: Gravity.

      1) Isn't this an example of memorizing a face
      2) Isn't this fact wrong or is it time to scrap the LHC

      Son: They take up more space?

      At this point, maybe you should have made some ice to see if ice or water takes up more space

    40. Re:No surprise by Anonymous Coward · · Score: 0

      http://www.pbfcomics.com/?cid=PBF199-Missing_School.gif

    41. Re:No surprise by Anonymous Coward · · Score: 0

      I thought you were about explain that water actually expands upon freezing i.e ice is less dense than water (it floats on water) to a six year old.

    42. Re:No surprise by Anonymous Coward · · Score: 0

      "2) Isn't this fact wrong or is it time to scrap the LHC"
      Gravity times mass equals weight.

    43. Re:No surprise by MikeBabcock · · Score: 1

      Ice is an interesting example. In most cases, ice cubes are larger in volume than when they were in liquid form. Your answers above should've confused the child.

      They take up more space? But why's the water smaller than the ice if the water molecules take up more space than the ice ones?

      Besides, it makes sense to teach children certain fundamentals long before you teach them others. That is to say, I taught my daughter about hot and cold long before she learned calculus or atomic theory. To be more specific, she was learning hot and cold long before reading.

      In gradeschool you learn that light travels in a straight line. Why? Because its convenient at the time. Is it wrong? No. Feel free to teach your child about university grade engineering before explaining that the stool is strong enough to stand on if you like. Personally I just put some weight on it to prove the point, and moved on.

      --
      - Michael T. Babcock (Yes, I blog)
    44. Re:No surprise by Anonymous Coward · · Score: 0

      I think this depends slightly on what degree of accuracy you want to go to. The hydrogen bond energy between the water molecules should cause the ice to weigh *slightly* less. But, this is pretty negligible (hydrogen bond dissociation energy in H2O is 1eV / molecule and mass is ~20 GeV).

    45. Re:No surprise by Anonymous Coward · · Score: 0

      When you freeze matter the MASS doesn't change. Local gravity might have changed (Say, half the planet disappeared or something if you want to get extreme) and thus changed the weight without your knowledge, but the mass should still be roughly the same...

    46. Re:No surprise by Anonymous Coward · · Score: 0

      Very good that you were able to get your son to work through the problem. However, because you were discussing water there was an error in the thought process. Of course the mass and weight are still the same when you melt water and the atoms do indeed move faster, they take up LESS space in liquid form than in solid. This is a peculiarity to water that gives it a very unique phase diagram and also the reason ice skating is possible.

    47. Re:No surprise by Belial6 · · Score: 1

      The number of replies to this post is amazing. It would be highly repetitive and time consuming to respond to each one individually, so I'll respond as a group.

      As to the water getting smaller when it melts. Good catch. That is one of the great things about how we teach. A subject doesn't end at the end of the 'assignment'. So, we will talk again, and get to have a whole new lesson on the specific subject of why water expands at less than 4 degrees Celsius.

      It also give us a great opportunity to teach him that being in authority does not necessarily make you correct about everything. Two new lessons in one!

      To the people that think the water weighs less because it floats. Being less dense doesn't make something weigh less. Volume and mass are different things. I didn't say one cubic meter of water vs. one cubic meter of ice.

      To they guy that though I was wrong because phase changes and gravity have nothing to do with each other...That was the point. You seem to have missed what a six year old could understand just fine.

      And to the teacher who is complaining about how poor they are. Public school teachers are in the top 50% of earners by year in pretty much every state of the union. They are in top 75% hourly. I know that the lie helps in union negotiations, but anyone that can count isn't buying it.

    48. Re:No surprise by Anonymous Coward · · Score: 0

      Water is strange in that it EXPANDS on freezing. So when you melt ice, the atoms actually take up LESS space! Most people have discovered this on their own by putting a sealed bottle in the freezer and later finding that it exploded :-/

    49. Re:No surprise by Anonymous Coward · · Score: 0

      When you cover punctuation, please teach your son the difference between "its" and "it's". You may want to look it up, first. He doesn't have to memorize it by rote. He can use simple rules to determine whether to put an apostrophe in the word.

    50. Re:No surprise by Anonymous Coward · · Score: 0

      I think you gave your child a wonderful lesson that encouraged him to think rather than memorize. However, emphasis on grammar may have gotten shortchanged then...

      You wrote: "If your lucky it is...."
      your = a form of the possessive case of you used as an attributive adjective, you're = you are

    51. Re:No surprise by Anonymous Coward · · Score: 0

      Maybe you need to learn more about schools. Perhaps you rote-learned an attitude towards them?

    52. Re:No surprise by Anonymous Coward · · Score: 0

      But water takes up more space when frozen, not when melted.

    53. Re:No surprise by Anonymous Coward · · Score: 0

      You still had to teach him a bunch of other facts about atoms and gravity. At some point you need to retain some concrete information to draw any conclusions.

  19. Ugh by anza · · Score: 3, Insightful

    Things that are ridiculous about this paper:

    1) The man names the method after himself. I can see the smug look on his face when he figured out how to integrate, and decided to name his newfound discovery after himself. That's a big no no in science.
    2) It's been cited 137 times since it was published. Most recently in June. That means that there has been ~137 people that cited it without seeing that it's just an integral.
    3) It completely reaffirms the whole stereotype of the premedical student memorizing everything they need to get into medicine but understanding nothing.

    1. Re:Ugh by robosmurf · · Score: 4, Interesting

      Actually, from the abstract this looks like a moderately interesting paper. Also note that the slashdot summary is (as often the case) wrong. You can't solve the problem the paper is referring to with integral calculus.

      The curve that the paper is talking about is an experimental result, not a formula. All you have are the experimental samples from the curve. Without a formula, you CAN'T do integration, and must rely on a numerical technique. What he's 'invented' here is the trapezoidal rule. He'd do even better with something like Simpson's rule, but that might be impossible to apply if the sample points are not evenly spaced. Similar problems occur for the various Runge-Kutta methods.

      Although the numerical technique that claims to be invented here is indeed a basic numerical technique, the paper is interesting for pointing out that the even cruder numerical techniques that have been used before are overestimating the curve area, and that is an interesting result.

    2. Re:Ugh by Arlet · · Score: 1

      The curve that the paper is talking about is an experimental result, not a formula.

      Just fit a curve through the data points (or several piecewise connected curves if necessary), and integrate the results the standard way.

    3. Re:Ugh by Anonymous Coward · · Score: 0

      That's what fourier analysis is for. Just approximate that stupid thing reasonably well, and integrate that.

      Or better yet, a polynomial approximation should work pretty well for the types of curves that are likely to show up in metabolic analysis.

    4. Re:Ugh by Anonymous Coward · · Score: 1

      Yes, nothing can go wrong with polynomial interpolation. It's not like you can get a highly oscillating polynomial to represent a non oscillating function. Oh wait. You can. (IANA: I am a numerical analyst). You want Gauss points to do numerical integration. You want Tchebycheff points if you want to interpolate the function. If you can't choose the points, polynomial interpolation may give awful results for high orders.

    5. Re:Ugh by pyrotas · · Score: 1

      How can it be interesting to discover that a cruder approximation can result in worse (under-, or over-extimations) results? To the naive reader, this will sound pretty obvious. And funny enough there are tons of examples in numerical calculus of counter-intuitive results where a supposedly better approximation produces actually worst results (take numerical derivative just as the easiest example). Therefore, such vague statements and comparisons are often misleading if not blatantly wrong. While I really wish I could read the paper, in the abstract the method is called "Tai's method" which shows a fundamental flaw in the paper: *no* research in literature has been made by the author. Research is quite the opposite to autism.

    6. Re:Ugh by DMiax · · Score: 1

      You don't need a simple formula with elementary functions to make an integral, you can easily do an *exact* integral of a broken curve. In fact it is easier. and you can also integrate any polynomial fit or interpolation, as well as many non-polynomial ones. The slashdot crowd is perfectly right. If you think there is any problem you don't really know the definition of integral or the definition of curve.

    7. Re:Ugh by Magic5Ball · · Score: 1

      Compare the experimental curve with the approximation and refine until the two match in the parts of the curve of interest?

      --
      There are 1.1... kinds of people.
    8. Re:Ugh by robosmurf · · Score: 1

      Which is exactly what the paper is about: the trapezoidal rule which it has 'invented' is equivalent to drawing straight lines through the points (pretty much the simplest curve you can get) and integrating.

      There are indeed better ways of doing it, but what's interesting is that the paper claims researchers were using techniques that were even worse.

    9. Re:Ugh by sjames · · Score: 1

      It's not that the paper shouldn't be published at all, just that somewhere before publication, someone should have noticed that it was about a well established method and then it should have been revised to focus on the accuracy of the various methods calling them by their correct name. Perhaps including a humorous aside about how the author thought he had invented a new method only to discover that it was the trapezoid rule. Then it would be a fine paper.

    10. Re:Ugh by Va1entine · · Score: 1

      He was either subconsciously recalling something from a class from decades ago or he invented this from scratch (which would actually be remarkable in itself). His offense is that he didn't name it and give calculus its due. This is offensive to most Slashdotters. Either way, I don't really care if the doctor performing surgery on me can integrate the area under a curve. We all stand on the shoulders of giants. xkcd.com/435

    11. Re:Ugh by Arlet · · Score: 1

      Not exactly. I was talking about fitting a smooth curve through the points, like a higher order polynomial, and integrating that.

      Anyway, once you put the data points in a computer, it's fairly trivial to use any number of methods to get good results. It's amazing that anybody would use inferior techniques.

  20. Ancient Crap is Not News by Anonymous Coward · · Score: 0

    ...19Mar07...

    First timothy can't even distinguish between Wikipedia and WikiLeaks now he's posting crap thats years old?

  21. He helped a lot of people. by Trivial+Solutions · · Score: 0

    What about the fact that the story actually helped a lot of people! It was not worthless, at least.

    --
    When God goes to war, He drops big bangs.
  22. it's everywhere by t2t10 · · Score: 5, Insightful

    You may laught at this, but you find the same thing in all fields. Programming language designers are writing papers on decades old language features, user interface researchers are getting lots of citations for decades old ideas or gimmicks from scifi movies, and theoretical computer science authors are woefully ignorant of statistics and machine learning. Mathematicians and physicists aren't immune either.

    1. Re:it's everywhere by Anonymous Coward · · Score: 0

      Exactly. Once my novel is published, Punnett squares will be called Smith squares.

    2. Re:it's everywhere by Anonymous Coward · · Score: 0

      I agree. I'm writing a dissertation proposal right now, and I'm tearing my hair out trying to find a way to sort through all the possible related work. The body of research literature out there is enormous, poorly organized, and hard to read, especially in fields that you're only marginally familiar with.

    3. Re:it's everywhere by Anonymous Coward · · Score: 3, Funny

      My sister, a librarian, was laughing when relating a story of software engineer explaining to them the concept of meta-data with respect to a library collection. He acted as if this was a concept well beyond their grasp. She finally moved the discussion along by saying "You mean it's like a card catalog, and the records are like the cards in the card catalog?"

    4. Re:it's everywhere by Anonymous Coward · · Score: 0

      I'm not sure if theoretical computer scientists are ignorant of statistics and machine learning, there's just a long standing cultural tradition that statistical assumptions are heavy and evil, which is rather unfortunate: if there is more cross pollination between statistical learning and theoretical computer science, we'd probably see a lot better algorithms in practice. but no one can change the culture and why would we risk getting our paper rejected by a reviewer who doesn't like statistical assumptions?

    5. Re:it's everywhere by Anonymous Coward · · Score: 0

      I kind of like these crossovers between fields, but I'm interested in why people are failing to make the connections between what they're doing and what research is already out there open to the public.

      Does this mean that somekind of a centralized search engine for research is needed? Hmmm, maybe I can make one of those and call it something funny, hey I know, I'll call it Giggle, now no one take my idea, it's mine, mkay?

    6. Re:it's everywhere by BlueParrot · · Score: 1

      Mathematicians and physicists aren't immune either.

      I have a joint degree in Mathematics and Physics, and I highly disagree with your claim.
      In fact without any previous formal education in engineering I have designed a robotic arm
      which will revolutionize modern medicine.

      Now does anybody know how to open the toolbox ?

    7. Re:it's everywhere by mikael · · Score: 1

      There are different types of research paper. If you are first to pioneer a particular field to solve a particular problem, you'll get cited as writing a "seminal paper", even if it was written 20-30 years ago. Another way to get cited is to write STAR paper (State of The Art Report), where you survey all the research that everyone else has done ... Other research papers involve performing performance/accuracy comparisons between a new techniques against existing techniques, or describing a novel combination of hardware/software.

      If you try and base your research on 3rd party API's, you can have the rug pulled from under your feet if that API is suddenly replaced or discontinued. So most researchers will use their own languages rather than rely on something industrial or commercial.

      I remember going to this talk by research team on laser scanning. They had developed a new technique of visualising scans of surfaces by placing all the sample points in a rectangular grid and bilinearly interpolating between the points. Their current research on applying perspectively correct projection to these sample grids was looking promising...

      --
      Vintage computer adverts: http://www.vintageadbrowser.com/computers-and-software-ads
    8. Re:it's everywhere by Anonymous Coward · · Score: 0

      Meanwhile you won't learn anything but a subset of 100 selected and then repeated ad-nauseum "scientific facts" from watching "science" documentaries on TV.

      You will, however, learn what year a famous physicist graduated from Oxford, and which other physicists he feuded with. Why that's supposed to help you....?

    9. Re:it's everywhere by khallow · · Score: 1

      I kind of like these crossovers between fields, but I'm interested in why people are failing to make the connections between what they're doing and what research is already out there open to the public.

      I've been on both ends, giving and receiving. My view is that it is very hard to locate information on a subject you don't know much about. And when you do something for a lark, it's hard to justify spending a few days looking for information on something that you just spent a couple of hours fiddling with.

      Nowadays, when I come up with an idea, even one that I'm pretty confident is old news, I push hard on figuring it out myself. Then if/when I stall, then I start reading about the subject. It's not pretty, but I at least have a better idea what I want to know, and some prior understanding of the material which I'm reading.

    10. Re:it's everywhere by Anonymous Coward · · Score: 0

      And then IBM files a patent claim on it

  23. That's not the first time by VincenzoRomano · · Score: 1

    Maths was ahead of other sciences, in the sense that the maths for a certain breakthrough was already there, but simply ignored.
    The one needed by Einstein was already there since decades, but no physicist was aware of it!
    Anyway, the bottom line of the story is that every BS/MS should include a calculus course.

    --
    Maybe Computers will never be as intelligent as Humans.
    For sure they won't ever become so stupid. [VR-1988]
    1. Re:That's not the first time by Anonymous Coward · · Score: 0

      What did Einstein need?

    2. Re:That's not the first time by Anonymous Coward · · Score: 0

      Tensors, among other.

    3. Re:That's not the first time by iinlane · · Score: 1

      Lorenz transformations. Einstein reinvented them but since Lorenz had them published few decades earlier he got the credit.

    4. Re:That's not the first time by iinlane · · Score: 1

      Maths was ahead of other sciences, in the sense that the maths for a certain breakthrough was already there, but simply ignored. The one needed by Einstein was already there since decades, but no physicist was aware of it!

      Are you implying that everyone should learn everything that is ever invented in math in calculus course? Memorize all equations just in case you ever need them?

      Anyway, the bottom line of the story is that every BS/MS should include a calculus course.

      I completely agree with you. Math is incredibly useful tool ONLY if you know how to use it. Sadly, many programmers don't even know basic linear algebra. Take MS .NET library - row vectors and left-hand coordinates is nuisance but what they did with quaternion is a crime!

    5. Re:That's not the first time by Anonymous Coward · · Score: 1

      You don't memorize equations. Mathematicians (IAAM: I am a mathematician) certainly don't. You understand them which gives you the ability to reinvent them in a few seconds once you need them.

    6. Re:That's not the first time by Anonymous Coward · · Score: 0

      OTOH most advanced math was discovered by physicists looking for ways to solve problems.
      Or did you think Newton, Green and the others were just into math because they didn't have anything better to do?

    7. Re:That's not the first time by VincenzoRomano · · Score: 1

      Maybe you can just ask (real) mathematicians whether there's already something suitable for your purposes ...
      Then if you have spare neurons you can also memorize the solution ...

      --
      Maybe Computers will never be as intelligent as Humans.
      For sure they won't ever become so stupid. [VR-1988]
  24. Some of them get it... by edibledeity · · Score: 2

    One of the papers that cites Tai's: http://www.lexjansen.com/wuss/2004/posters/c_post_the_sas_calculations_.pdf It includes a formula Tai 'invented' (quotes in the paper) and acknowledges that it is the trapezoid rule. I can't find Tai's full paper of course, but this article shows that Tai frighteningly might have been serious about his discovery, but also that at least some MDs took calculus.

  25. I am not surprise... by mathfeel · · Score: 2

    As a physics grad student, I TA a LOT of life-science, pre-med students for introductory physics. In these courses, calculus is not necessary. Considering how horrific an average student performs when confronted a problem requiring more than 3 lines of algebra manipulations, I would not be surprised if there's a statistic somewhere more than half of MDs cannot do first-year college level math. I also tutored people taking the MCAT, again, calculus not necessary.

    --
    The only possible interpretation of any research whatever in the 'social sciences' is: some do, some don't
    1. Re:I am not surprise... by oldhack · · Score: 1

      The awful thing is, medical research relies so heavily on stats, one of the most subtle and delicate branch of math, compounded with difficulty due to limited sample sizes, handled all by these life science guys and gals.

      --
      Fuck systemd. Fuck Redhat. Fuck Soylent, too. Wait, scratch the last one.
    2. Re:I am not surprise... by Anonymous Coward · · Score: 0

      I remember a premed who answered a really simple coaxial cable problem immaculately, with diagrams and clear steps etc... (plus it was legible thank god) but the signs were all reversed, so I made a note. He came up to me later and asked me about it. When I explained, his face went all WTFOMG and he says:

      "But... but we didn't cover NEGATIVE charges running through the wire!"

      *facepalm*

    3. Re:I am not surprise... by Anonymous Coward · · Score: 0

      And handled well. In fact, even this guy is handling the problem - even if he is rediscovering warm water.

      Also, what's with the "oh my god, no calculus? are they all insane?" bullshit? Accept it's not needed. I know it's difficult, you've been ass-raped into accepting the One True Science, but TRY, dammit.

    4. Re:I am not surprise... by Anonymous Coward · · Score: 0

      Accept it's not needed.

      Why did he have to rediscover it, then?..

    5. Re:I am not surprise... by ColdWetDog · · Score: 5, Interesting

      That's OK, when I was a grad student in Molecular and Cell Biology, we of course had to TA the 100 level intro course which, of course, was on the pre med track. The faculty was on this kick that college students could not express themselves so they decided that all of the tests were to be exposition style. Sentences and paragraphs and the like.

      We hated that. As it turned out, the faculty's supposition was correct. The majority of students could not write a simple declaratory sentence, much less a coherent paragraph. Grading them was a nightmare, especially the premeds who would cry and moan over 1 or 2 points. Try as we might, I doubt that we taught them a whole lot (either English or Molecular Biology)

      Then at least some of them went to Medical School.

      But medicine these days is a really a long, drawn out vocational school. There is very little 'Science' and even less 'Humanity'. It is memorize and practice. To a large degree this is unavoidable - there is a huge volume of baseline knowledge to acquire in a relatively short period of time. But given that the premedical experience is likewise short on science and humanities, your average physician really does not have the broad educational experience that many folks assume they do.

      Calculus? That's some form of kidney stone, right?

      --
      Faster! Faster! Faster would be better!
    6. Re:I am not surprise... by Anonymous Coward · · Score: 0

      Calculus? That's some form of kidney stone, right?

      or bladder stone or the stuff that accumulates on your teeth if you don't brush them?

      We need more info here to sort out the differential diagnosis.

    7. Re:I am not surprise... by Anonymous Coward · · Score: 0

      actually it's the stuff that builds up on your teeth

    8. Re:I am not surprise... by Thelasko · · Score: 1

      I recommend anyone going to college to study "pre-med" to major in biomedical engineering instead. I've told several incoming freshman this, and they all told me, "...but that will be too hard! I'd have to take calculus!"

      You think med school will be easy? At least with a biomedical engineering degree, you can get a job if you don't get into med school.

      --
      One of our competitors trademarked the term "hypothesis". From now on, we will call them "boneheaded ideas".
    9. Re:I am not surprise... by frank_adrian314159 · · Score: 1

      Calculus? That's some form of kidney stone, right?

      Nah, it has something to do with teeth - tell the patient to go see a dentist. Oh, yeah... make sure you use the ICD9 for an exam so you get reimbursed by the insurance company.

      --
      That is all.
    10. Re:I am not surprise... by Anonymous Coward · · Score: 0

      Calculus is the hard deposit that forms on teeth....

  26. Said Researcher by nedlohs · · Score: 2

    got a published article with a lot of citations in a high impact factor journal.

    I'm sure he gives a shit what you think about it.

  27. Plagiarism not needed by FrootLoops · · Score: 1

    The derivation of the trapezoidal rule is like 3 lines of algebra.

    1. Re:Plagiarism not needed by Garridan · · Score: 1

      Yes, I know that. I teach calculus. My response was to the notion that maybe Tai added something -- it doesn't appear that he did. Moreover, given the choice of publishing a paper saying "this ancient result in math doubles accuracy" or "this awesome invention of mine doubles accuracy", some people will choose to take credit with the hopes that nobody notices. That's plagiarism. Since he probably had to take calculus to get into med school, my money's on plagiarism.

  28. Flip tomato, a f*cked-up "student" by G3ckoG33k · · Score: 0

    This happens all the time. And, it is a good thing. It shows that one method of one field can be applied in another. Nothing new there.

    To be honest, I don't think parallel_prankster or many others realize that how many scientific ideas come about. The 'pure mathematics' in many instances had very 'unclean' background, firmly rooted in applied enigmas.

    This Tai guy had no reason to look into the trapezoidal first, and see if that could have been applied, his discovery was to see that there was a pattern in the first place.

    Then, and this IS good, someone else saw that these two phenomena are the same. Excellent.

    Then, that low life flip tomato at http://fliptomato.wordpress.com/ "postgraduate, expatriate physics student" who has "the utmost respect for the people, places, and groups that I write about, otherwise I wouldn’t write about them." makes fun Tai... What a f*cked-up "student"...

  29. Hentai. by bronney · · Score: 1

    anyone?!

  30. Damning Followup by FrootLoops · · Score: 5, Informative

    Tai's article was printed in February of 1994. An author comment printed in the October 1994 issue is titled "Tai's formula is the trapezoidal rule." I don't have full text access to either, but the title of the followup is not encouraging.

    1. Re:Damning Followup by MoellerPlesset2 · · Score: 3, Interesting

      Actually there appears to be no less than three follow-up commentaries to that article in the same issue.

      Apart from the one you mentioned there's R Bender, "Determination of the area under a curve." and T M Wolever, "Comments on Tai's mathematic model.".
      In my experience, an article has to be pretty damn bad to get any kind of commentary against it, but three? That basically means it's just as crazy as we think it is.

      And sure, numerical integration is a rich field, but real advances in numerical integration aren't published in "Diabetes Care".
      Doesn't have to be a math journal, physics or comp sci could be just as plausible, but a medical journal? Not really.

    2. Re:Damning Followup by jank1887 · · Score: 1

      of course, that article is only cited 3 times, twice by the same commenting author. And in those, the Tai article is also referenced. My portuguese is a bit rusty, but the author seems to say something like: blah blah blah was calculated using the trapezoidal rule, with the naming convention or modification as per Tai...

    3. Re:Damning Followup by Anonymous Coward · · Score: 0

      Did Bender tell Tai to kiss his shiny metal ass?

    4. Re:Damning Followup by Anonymous Coward · · Score: 0

      Full text of the letters to the editor regarding Dr. Tai's paper, and her response, all of which are entertaining reading, are available here.

  31. Inconceivable! by Oxford_Comma_Lover · · Score: 0

    > Method for dissipation of influenza symptoms through prolong dietary restriction versus current methods of hypercaloric intake treatment of cold virus carriers.

    You keep using that abstract. I do not think it means what you think it means.

    --
    -- IANAL, this isn't legal advice, and definitely isn't legal advice for you. Also, Squee!
  32. I found something too! by Yvan256 · · Score: 1

    I figured that by using only one and zero, we should be able to build what I like to call a "central processing unit" and "random access memory".

    Unfortunately, at best, I don't see more than a dozen of machines built on this design to be used worldwide.

  33. Also in chemistry.... by Catmeat · · Score: 4, Funny
    Q. How does a chemist integrate a curve?

    A. They cut out the plot and weigh the piece of paper. Then compare this with the weight of a piece of paper of known area.

    1. Re:Also in chemistry.... by FrootLoops · · Score: 1

      Q. How does a chemist integrate a curve?

      A. They cut out the plot and weigh the piece of paper. Then compare this with the weight of a piece of paper of known area.

      Well, they already have very accurate scales :).

    2. Re:Also in chemistry.... by MrQuacker · · Score: 1

      lol, thanks for that. I know just the person I can get to use it.

    3. Re:Also in chemistry.... by Anonymous Coward · · Score: 0

      This is not a joke. We had to do this for determining relative concentration against a standard (previously measured) in GC mass spec analysis. You'd take your plot with your target peak (hopefully) resolved from everything else,, cut it out, and weigh it. Assuming that the paper had small mass per unit area variation, the weight was proportional to the concentration. At least that's how I remember it.

    4. Re:Also in chemistry.... by mrthoughtful · · Score: 1

      Very good. Never saw that one before. Got any more?

      --
      This comment was written with the intention to opt out of advertising.
    5. Re:Also in chemistry.... by Eudial · · Score: 1

      I'm a physicist, and I've done this. Excellent method.

      Though it was a machine-generated plot.

      --
      GAAH! MY PRINTER IS ON FIRE!!! PUT IT OUT! PUT IT OUT!
    6. Re:Also in chemistry.... by Anonymous Coward · · Score: 1

      NASA tried that once, except one piece of paper was metric and the other imperial. Booom!

    7. Re:Also in chemistry.... by vlm · · Score: 1

      This is not a joke. We had to do this for determining relative concentration against a standard (previously measured) in GC mass spec analysis. You'd take your plot with your target peak (hopefully) resolved from everything else,, cut it out, and weigh it. Assuming that the paper had small mass per unit area variation, the weight was proportional to the concentration. At least that's how I remember it.

      AC is correct. I had to do the same "analysis" in a quantitative chemistry class about 20 years ago.

      We were forbidden from using computers or other forms of automation "otherwise all we're doing is training you to click the start button" and the prof really wanted to pound home the concept of integration. Also the prof wanted to pound home the chemist skill of quickly and accurately measuring the mass of items. This was our primary method of integration during the labs in this course. Finally the prof thought it hilarious that he/we could get an answer with at least three sig figs in about 10 seconds of work vs the minutes / hours it would take to type it all in to a computer and figure out how to use the computer and as lowly undergrads we were probably only capable of three or so sig fig quality work anyway, so... good enough.

      I distinctly remember with horror toward the end of one lab, as I was recording the current thru a constant potential electrodeposition vs time on graph paper and I somehow got a couple drops of electrolyte on the graph paper, knowing thats going to totally screw up my weights and I was running up against the end of lab time so no time to draw a new graph... Until I realized there was a dept photocopier in the next room, and the water stain could be cut out above and below the graph and rephotocopied. The TA, whom spoke no English at all, was kind of impressed with my resourcefulness. The current is pretty obviously the rate of deposition of the metal, one electron per deposited copper ion or whatever, assuming you keep the voltage low enough that theres no H2O electrolysis, so obviously the integral of the current is the number of coulombs of charge = the number of coulombs of copper, which can pretty easily be turned into moles of copper metal, which can pretty easily be turned into milligrams of copper. Maybe it wasn't copper, maybe it was silver or gold, I don't remember. There was some special reason why the electrode could not simply be weighed, I think it had something to do with the reactivity of the metal (trying to measure mg of copper not mg of copper oxide) or it was a spongy electrode with fantastic surface area but it would hold all manner of water or something like that) Also the test strategy could be used commercially in a semi-continuous flow analysis, so you don't take the plant apart to clean it until the electrode is hopelessly cruddy.

      --
      "Science flies us to the moon. Religion flies us into buildings." - Victor Stenger
    8. Re:Also in chemistry.... by careysub · · Score: 1

      Correct, no joke. A sheet of paper weighs ~5 g, a chemical balance is good to 0.1 mg (if cheap) and 0.1 mcg (if really not cheap), so the accuracy is no problem./p>

      Ever heard of a planimeter? This is a mechanical gadget that measures areas when you trace out an outline with a pointer - basically doing the exact same thing the paper-weighing does. Much cheaper if you don't already have a chemical balance.

      --
      Starships were meant to fly, Hands up and touch the sky - Nicky Minaj
    9. Re:Also in chemistry.... by burningcpu · · Score: 1

      Strip chart recorders are so 1980's. Now everyone uses DAC boards, digitizes their data, and uses programs such as Origin to calculate areas under curves.

    10. Re:Also in chemistry.... by Brett+Buck · · Score: 1

      Why is this tagged funny? That was a pretty common method before computers and still isn't a terrible method for experimental data.

  34. For those with money and time... by FrootLoops · · Score: 1

    You can read the PDF of the source, for $38.00. If anyone does, could you tell us what you find?

    1. Re:For those with money and time... by vlm · · Score: 1

      You can read the PDF of the source, for $38.00. If anyone does, could you tell us what you find?

      Nice try, but if you used a more accurate numerical integration technique, you'd find the cost approximates $37.9494245823 not the crudely analyzed trapezoidal result of $38.00. I'd detail the proof but this slashdot margin is too narrow to contain it, sorry.

      --
      "Science flies us to the moon. Religion flies us into buildings." - Victor Stenger
  35. A correction was published in the same journal by Anonymous Coward · · Score: 0

    A correction was published in the same journal that year. Doesn't explain how it got past peer review, but it was corrected quickly.

    "Tai's formula is the trapezoidal rule" http://www.ncbi.nlm.nih.gov/pubmed/7677819

  36. how could he be published ? by Anonymous Coward · · Score: 0

    This doctor may be a perfect math newbie, but the schocking part is that other searchers have read his paper, and they validated his work !

    Even worse : it got published in the end !

  37. Or a varation on that by Sycraft-fu · · Score: 4, Funny

    Theory: All odd numbers above 1 are prime.

    Proofs by discipline:

    Philosopher: 3 is prime, 5 is prime, 7 is prime, therefore by induction all odd numbers are prime.
    Physicist: 3 is prime, 5 is prime, 7 is prime, 9 is experimental error, 11 is prime...
    Computer Scientist: 3 is prime, 3 is prime, 3 is prime, 3 is prime, 3 is prime...
    Engineer: 3 is prime, 5 is prime, 7 is prime, 9 is prime, 11 is prime...
    Statistician: In the same of odd numbers: 3, 5, 11, 13, and 29 they are all prime so all odd number are prime.
    Artist: 1 is prime, 2 is prime, 3 is prime, 4 is prime...

    1. Re:Or a varation on that by kipling · · Score: 1

      Gender theorist: why aren't you asking whether even numbers can be prime too?

      --
      -- open source? sounds like the real book --
    2. Re:Or a varation on that by Anonymous Coward · · Score: 0

      Shit, and I thought computer scientists were applied physicists!

  38. This reminds me of a different article... by Anonymous Coward · · Score: 0

    ... the one in which a psychologist manages to publish a paper in Science because he knows what the integral over a Gaussian looks like when plotted: http://dx.doi.org/10.1126/science.1144073

  39. Degenerate case by dugeen · · Score: 1

    A rectangle is indeed a trapezoid I believe.

    1. Re:Degenerate case by EmagGeek · · Score: 1

      A rectangle is a parallelogram, but not a trapezoid (depending on who you ask).

      I have always thought a trapezoid was a quadrilateral with exactly one pair of parallel sides, but not two. If it has two pairs, then it's a parallelogram (or a rectangle if the angle between adjacent sides just happens to be 90 degrees). Believe it or not, however, there seem to be those tho think a trapezoid should be allowed to have two pairs of parallel sides (thereby making it a parallelogram).

      Math people are weird.

    2. Re:Degenerate case by marcosdumay · · Score: 1

      Of course, you define things the way that leads to the easiest path for solving your problem. The only requirement is that you define them.

  40. Re:And by stranger_to_himself · · Score: 4, Informative

    So... what's the story?

    Actually the headline should say 'Slashdotter Rediscovers Paper from 1994 '

  41. Re:And by Niedi · · Score: 4, Interesting

    Actually the headline should say 'Slashdotter Rediscovers Paper from 1994 '

    exactly... it's been a running gag in the biology department of our university probably ever since it came out back then

  42. Mod-ups on the cheap. by westlake · · Score: 1

    And then, they use it for investing your retirement savings, in .com stock or CDOs. At the same time, they pay themselves at lot of gratification and bonus. And then, you are very surprised that your money is gone.

    Inflammatory generalizations - presented as gospel truth - are not "Insightful."

  43. The article just got one more reference by Anonymous Coward · · Score: 0

    Now it can be claimed that Slashdot also cited the article in question.

  44. No no no no, you didn't RTFA by rve · · Score: 1, Insightful

    An integral requires that you know a formula that describes the curve. I think (can only see the abstract) this paper deals with measurement curves from lab tests. Other techniques apply there. I don't know if dr. Tai's technique was an important new development, but I do know that this slashdot item is bogus.

    1. Re:No no no no, you didn't RTFA by Hognoxious · · Score: 2, Informative

      I don't know if dr. Tai's technique was an important new development

      Neither, apparently, did he. For the record, it isn't.

      My revolutionary method involves drawing the graph on a piece of paper, sticking it on the wall and throwing darts at it with your eyes closed.

      --
      Confucius say, "Find worm in apple - bad. Find half a worm - worse."
    2. Re:No no no no, you didn't RTFA by Rakshasa+Taisab · · Score: 3, Insightful

      Wait, what?... When did integration require you to have a 'formula' for the function?...

      Or rather to put it in another way; a data set as in the measurements from a lab test do translate into a function (for the points where we have data) and if we decide on how to interpolate between values we have a function which is continuous. So yeah, the slashdot item is spot on and you're probably in the same category as dr. Tai.

      --
      - These characters were randomly selected.
    3. Re:No no no no, you didn't RTFA by ultranova · · Score: 1, Interesting

      An integral requires that you know a formula that describes the curve. I think (can only see the abstract) this paper deals with measurement curves from lab tests.

      Integral is the limit of area as the size of the rectangles (and thus error) approaches zero. It uses this method as a starting point.

      I don't know if dr. Tai's technique was an important new development, but I do know that this slashdot item is bogus.

      It isn't, and it isn't. It's typically taught in high school during introduction to calculus.

      That said, reinventing calculus is no small feat, and certainly not worthy of mockery. Dr. Tai simply lacks education, which is something that should be addressed in med student curriculum.

      --

      Forget magic. Any technology distinguishable from divine power is insufficiently advanced.

    4. Re:No no no no, you didn't RTFA by tibit · · Score: 4, Interesting

      TRWTF, IMHO, is that Tai's article is cited almost 40 times. I'd like to think it was meant as an April Fool's joke and got published too soon (in February).

      --
      A successful API design takes a mixture of software design and pedagogy.
    5. Re:No no no no, you didn't RTFA by ciantic · · Score: 5, Funny

      My revolutionary method involves drawing the graph on a piece of paper, sticking it on the wall and throwing darts at it with your eyes closed.

      I think you just rediscovered the Monte Carlo method.

    6. Re:No no no no, you didn't RTFA by Hognoxious · · Score: 0

      When did integration require you to have a 'formula' for the function?...

      To apply the rule for a polynomial term - "add one to the exponent of x, then divide by the new exponent", one needs to know what the exponent of x is to start with - and indeed that it is a polynomial. That kind of requires knowing what the function is.

      Of course if you're talking about a numerical approximation to an integral it's different. But that isn't what rve said.

      --
      Confucius say, "Find worm in apple - bad. Find half a worm - worse."
    7. Re:No no no no, you didn't RTFA by Barrinmw · · Score: 1

      Step One: Place graph in graphing software.
      Step Two: Create a taylor expansion with the software.
      Step Three: Integrate.


      Or just skip step two and have the software integrate for you.

    8. Re:No no no no, you didn't RTFA by Locke2005 · · Score: 2

      An integral requires that you know a formula that describes the curve.

      Not if you're using numerical methods it doesn't.

      --
      I've abandoned my search for truth; now I'm just looking for some useful delusions.
    9. Re:No no no no, you didn't RTFA by Chris+Burke · · Score: 3, Informative

      To apply the rule for a polynomial term - "add one to the exponent of x, then divide by the new exponent",

      Of course if you're talking about a numerical approximation to an integral it's different. But that isn't what rve said.

      What rve said is irrelevant.

      Before that rule existed, before the Fundamental Theorem of Calculus existed, "Tai's Method" was the way integration was done. And of course "Tai's Method" taken to the limit of zero-width trapezoids was fundamental to proving the Fundamental Theorem of Calculus.

      Of course with non-zero width trapezoids it is merely an approximation... for a continuous function. For a function defined by discreet data points, and assuming you're linearly interpolating between data points, then this is as good as it gets.

      Either way, the point is, this is anything but new or novel. It is how integrals were calculated literally hundreds of years ago, and it was never forgotten, at least not by anyone who took and remembers Calc I.

      --

      The enemies of Democracy are
    10. Re:No no no no, you didn't RTFA by 1729 · · Score: 1

      That said, reinventing calculus is no small feat, and certainly not worthy of mockery. Dr. Tai simply lacks education, which is something that should be addressed in med student curriculum.

      Isn't Calculus a standard pre-med requirement?

    11. Re:No no no no, you didn't RTFA by Anonymous Coward · · Score: 0

      I have a revolutionary new method of explaining jokes but I am afraid you have beat me to it.

    12. Re:No no no no, you didn't RTFA by Jorl17 · · Score: 1

      Still, you can approximate the function by several other functions if you have to, then sum the areas. For me, it still seems faster than the Trapezoid Method.

      --
      Have you heard about SoylentNews?
    13. Re:No no no no, you didn't RTFA by Anonymous Coward · · Score: 0

      Whoosh.

    14. Re:No no no no, you didn't RTFA by milamber3 · · Score: 1

      If he went to a Med school in the US or Canada it is required. He may have gone to school elsewhere and passed the medical boards for licensing in the US. In that case, his education outside of being competent in medicine could be almost anything.

    15. Re:No no no no, you didn't RTFA by Anonymous Coward · · Score: 0

      Bust!

  45. Integration by paper by vuo · · Score: 4, Informative

    This isn't as stupid as it sounds, because up to the 1980s spectrometers and chromatographs had pen-and-paper plotters, not personal computers for data recording. Numerical integration would've been a waste of time without a computer.

    1. Re:Integration by paper by elashish14 · · Score: 1

      And it was because of this that Genplot was written (true story)

      --
      I have left slashdot and am now on Soylent News. FUCK YOU DICE.
  46. Stop the PRESS! by Anonymous Coward · · Score: 0

    Slashdot reader rediscovers blog entry from mars 2007.

  47. Re:And by Z00L00K · · Score: 0

    And you also have to realize that in humanistic education they also use some rules that you actually can find when you look at them closely have a corresponding algorithm in mathematics - but the humanistic people do have a much more complicated method for doing something simple because they have a hard time to understand mathematics.

    --
    If builders built buildings the way programmers wrote programs, then the first woodpecker would destroy civilization.
  48. two words by sxpert · · Score: 1

    EPIC FAIL !

  49. Numerical techniques work too by sjbe · · Score: 2

    Without a formula, you CAN'T do integration, and must rely on a numerical technique. What he's 'invented' here is the trapezoidal rule.

    You are aware that the trapezoidal rule is simply an approximation technique for a definite integral, right? QED it is integration via a numerical technique.

  50. Subject by Legion303 · · Score: 1

    Well if he tries to patent it, we can probably find some prior art from 4 centuries back or so...

  51. No shit. by Mr.+Underbridge · · Score: 1

    I don't know what kind of academic curriculum a student could choose these days that would permit them to pursue a career in medical research without ever having learned basic calculus at SOME point.

    I think you waaaaay overestimate medicine, doctors, and pre-med. My training is in chemistry, and it was shocking when I was an undergrad the lengths that the pre-meds would go to avoid actually learning anything. They worked their asses off at *memorizing*, but actual learning seemed to be something they weren't interested in. They also had a pathological fear and loathing of hard classes that weren't especially prone to being memorized. You know, like Calculus. I think the doctor who is well-versed in mathematical techniques to be the exception, not the rule.

    Worse, they also seem to punt on difficult classes in the sciences, as well. They are essentially required to take the big-boy version of Organic Chemistry, as it is used as a weed-out class by med school admissions. And they memorize their way through that, by and large. However, they will do anything in their power to avoid classes like Physical Chemistry. At my college, nearly all of them opted to take a dumbed-down semester version of it that was nearly devoid of math instead of the full-year course that required Calculus.

    So the next time you see an article published that claims an effect that would violate some basic tenet of physics, just remember - the ones publishing are probably the brains of the bunch. The real idiots are the ones working on you.

    1. Re:No shit. by demonlapin · · Score: 1

      The psychology of the premed is a gold mine for someone trying to build a career. Allow me to spout a bit.

      I have a BS in chemistry. I am also a physician, but I decided to go to med school during my senior year of college - i.e., when I realized I didn't like bench work. When I got to med school, I ran into all the premeds that I had spent years laughing at, with one big change: their techniques worked in med school. The raw material of medicine - anatomy, physiology, pharmacology, pathology - is extremely amenable to memorization. Furthermore, the residencies available to you (and thus the range of lifestyles and incomes) are largely determined by how well you score on tests, culminating in one big test (the USMLE Step 1). Luckily for me, I'm a great test taker, and so I was able to score much higher than my class rank would have suggested.

      The obsessive grade-grubbing, the indifference to deeper meaning - that's adaptive in the med school environment. You don't have time to worry about deep meaning when you've got another test covering four chapters coming up next week. (In my second year of med school, we had a test every Monday.) They skip the hard classes because people with 3.0 GPAs don't get into med school. Most physicians are reasonably intellectually curious, but the system we have punishes them for exploring it formally - and so we all think of premeds as dullards. They're not. They're just a species that is highly adapted to an environment that is very different from the one that faces the scientists with whom they do their undergraduate training.

  52. Re:And by TheRaven64 · · Score: 5, Interesting

    The story is one of the problem of overspecialisation. This is a very good example, because it's a very basic principle in mathematics that someone sufficiently advanced in the field of medicine to be publishing research papers. It's a problem all over academia, however. Pick up a journal from a distantly related field and you'll be pretty much guaranteed to see a paper inventing or discovering something that everyone in your field has known about for decades.

    --
    I am TheRaven on Soylent News
  53. Re:And by marcosdumay · · Score: 2

    It is not only that they don't understand mathematics. They also learn from their teachers that mathematical models are useless, and distrust anybody that uses math on their research.

  54. Not all citations good by Anonymous Coward · · Score: 0

    In this paper, http://www.lexjansen.com/wuss/2004/posters/c_post_the_sas_calculations_.pdf the authors mocks tai claims and explains it is the trapezoidal rule

  55. Home Skooling! by Anonymous Coward · · Score: 0

    If your lucky

    If my lucky what?

  56. Not enough time by NEDHead · · Score: 1

    Tai would have invented integration if he had just kept making those rectangles and triangles smaller and smaller. Such a shame that he couldn't see it through to realize a great innovation. Why doesn't our government support these researchers adequately? How many other creations that could touch our daily lives have been lost?

  57. I miss infoseek of old by LostMyBeaver · · Score: 1

    It was a shame when infoseek died. Somehow, though I'm sure it would be awful by today's standards, I fondly recall it being the greatest thing ever made.

    My wife is a direct descendant of a "famous chemist" from the 1800's. A guy named Peter Waage, we was the primary theorist for developing "The Law of Mass Action". Because of this, I have wondered if he would ever achieved fame in modern times as the review process is so rapid now that it's very likely that from the day a theory is posted for review, it can take hours or even minutes for major holes to be blown in the theories.

    Oddly what has me most disturbed about this isn't the fame, but that papers are withdrawn too quickly these days. There has been tremendous numbers of discoveries made based on people mulling over the errors in other peoples work. I often wonder if this accelerated process is sending more theories with possible merit (no matter how wrong they may be in their initial form) straight to the trash bin. In the past there when papers had to be shared and distributed in ways that required ships and horses to move the information around. Ideas had time to incubate a bit further before either being rejected or revised.

    On thing I am happy about though is that search engines have evolved so dramatically, that from a research perspective we "lesser minds" (including me hehe) are able to find people brighter, smarter, more experienced etc... to slap the hell out of us and call us stupid when we're wrong at an amazing rate. One of the authors of x264 just slapped me silly the other day for suggesting I waste my time on implementing a feature that is already in the encoder, though in a different form. I might have done 90% of the work before finding out that it was already in there.

  58. Inspired or frustrated? by immakiku · · Score: 1

    I don't know whether I should be awed that we have discovered something like this hundreds/thousands of years ago or whether I should be frustrated that people take this knowledge for granted. We should be able to build upon all the things we discovered for progress, not digress centuries into the past.

  59. It's not just that he didn't know by Posting=!Working · · Score: 0

    A lot of people here have defended Dr. Tai, stating that it's not important he know calculus, or that a lot of people rediscover methods of mathematics. But the real problem is he didn't ask anyone about it or seek any kind of opinion on his "new" mathematical technique before publication. Any 2nd year math or physics major could have told him this, or anyone who took and remembered calculus in high school. Any one of his peers that took calculus could have told him.

    He is rightly labeled an idiot because only an idiot would think he discovered a new method in a field that was not his specialty and publish not only without asking an expert in that field, but without asking anyone with even basic knowledge of that field.

    --
    This sentence no verb.
  60. Re:And by Anonymous Coward · · Score: 4, Interesting

    .... this sounds so familiar... in the 1990's, one group inside Siemens discovered that contacts made of little carbon blocks can be used in CT scanners to transfer current and data from x-ray tube and detector (part of gantry that is moving around patient) to stationary part of gantry/scanner.

    After proudly presenting that at internal meeting, one guy said: ".... but we have been using it for decades in trains.... for the same purpose..."

  61. Re:And by MiniMike · · Score: 1

    Actually the headline should say 'Slashdotter Rediscovers Paper from 1994 '

    Shouldn't there also be a reference to the patent and the year it was granted?

  62. Re:And by TheRaven64 · · Score: 2

    I should add that it's a very difficult problem to solve. In general, people need a lot of specialised knowledge to make a valuable contribution to a specific field. Acquiring the same level of knowledge of multiple fields would take many years. That said, it's always worth spending time with people outside your own discipline. Richard Hamming, for example, claimed that he always had lunch with the physicists or chemists in his group, rather than with other mathematicians, and often provided or gained new insights into problems by approaching them from an unusual direction.

    --
    I am TheRaven on Soylent News
  63. not actionable for most of us by rubycodez · · Score: 1

    most of us don't have analytical scale on 1 tonne marble block like I had access to in college I think I'll count squares on graph paper instead, thanks

  64. Different labels different places by dbIII · · Score: 1

    Different places call it different things, so year 11 for me and others near me now but in the middle of the night I don't have a clue what it's called in the USA so "second last year" it is so people like you can understand. It's not a big deal to remember the very simplest parts of something you learnt even if it was more than a couple of decades ago, what it your problem? You still remember how to ride a bike don't you?
    Besides, it was only a bit over ten years ago that I had to remind some engineering students about it. It's easy high school stuff which is why there is an article making fun of the guy writing the paper.
    Robot mind? Talk to a decent lawyer (as in one that can read some of the cases a century ago with a lot of latin terminology) and you'll find that almost photographic memory "robot mind" which would be really useful to have.
    Anyway, back on point, a paper is supposed to be written and reviewed in a professional manner and not in complete isolation.

    1. Re:Different labels different places by kbolino · · Score: 1

      The correct English phrasing of what you are trying to say is "second-to-last year" not "second last year."

  65. Internet Meme by Kozar_The_Malignant · · Score: 1

    How about the Tai-square value as a measurement of ignorance of widely-known prior art in science and mathematics?

    --
    Some mornings it's hardly worth chewing through the restraints to get out of bed.
  66. so: Re:And by Anonymous Coward · · Score: 0

    The story is one of the problem of overspecialisation. This is a very good example, because it's a very basic principle in mathematics that someone sufficiently advanced in the field of medicine to be publishing research papers. It's a problem all over academia, however. Pick up a journal from a distantly related field and you'll be pretty much guaranteed to see a paper inventing or discovering something that everyone in your field has known about for decades.

    Not new?

    It's new to me!

  67. Typical Status Quo by luis_a_espinal · · Score: 2

    TRWTF, IMHO, is that Tai's article is cited almost 40 times. I'd like to think it was meant as an April Fool's joke and got published too soon (in February).

    You'd be surprise how many academic papers cite other papers based on keyword matching and one-line sentence citations only.

  68. Dude, you need a better tax advisor by Anonymous Coward · · Score: 0

    Wait. You're paying supplies and insurance in after-tax income? Dude, you need a better tax advisor. Or a course in honesty.

  69. He kinda has a point... depends. by luis_a_espinal · · Score: 1

    Apart from the loans, you don't have much of a point. Just look at other countries and you'll see what I mean. It's not that unusual for doctors in other countries to make half or less what we pay our doctors.

    He has a point if his comments are specific to the deplorable state of student finances in the US. One can easily accumulate 30-40K in student loans just to get a BS and MS in an engineering discipline. More for an MBA. For medical students it can get worse. This is assuming going to a university that is both local and public. That was my case, and I raked enough student loans that took a substantial chunk of my salary for the first 10 years of my career. Now it is worse.

    And it can get much worse if you want to pursue a certain quality of post-grad education (or a career choice) and your only options are to study 1) in a private university (what my sister had to do); or 2) a non-local university (worse if it has to be a non-local, private one.)

    As I sometimes look at the German model of education with envy and admiration, I dread for my poor baby daughter for the time when she goes to college. A substantial chunk of my salary will have to an Ed. fund for her future college expenses sans she has to sell an eye and an ovary just to get a 4-year college degree.

    It's really f*up here in the US. How the hell we stay afloat as an industrialized country is still beyond me.

    1. Re:He kinda has a point... depends. by clonan · · Score: 1

      Who says we are staying afloat?

      The number of peer-reviewed papers we publish is dropping fast compared to the rest of the world. We have very little manufacturing, our science and math eductions are abysmal (as proved by the original article of this discussion), and the prices we pay for high-tech services (like health care) are spiraling out of control compared to the rest of the world.

      It looks to me that we are sinking not floating...

  70. Always better by Anonymous Coward · · Score: 0

    Always better to have people derive concepts from first principles.

  71. Replies to the Paper: by JoeRobe · · Score: 1

    I don't have access to the full text, but some of the titles of the replies look amusing:

    TAI FORMULA IS THE TRAPEZOIDAL-RULE, MONACO JH, ANDERSON RL, Diabetes Care, 17, 1224

    DETERMINATION OF THE AREA UNDER A CURVE, BENDER R, Diabetes Care, 17, 1223

    COMMENTS OF TAI MATHEMATIC MODEL, SHANNON AG, OWENS DR, Diabetes Care, 17, 1223

    Anybody have text from these?

    --
    The best way to predict the future is to invent it.
  72. Here's a great abstract to submit to this Journal: by Anonymous Coward · · Score: 0

    Title: A simple algorithm for factoring large numbers

    Abstract:
    The inability to factor a number into its prime components is the basis of most encryption schemes that are used in practice today. In this paper we show a simple way of factoring numbers composed of two primes. Our method is deterministic and based on exhaustive search and guaranteed to find the right solution. Our idea is simple, given a number x we search all possible prime numbers n for which x/n is also prime. For example, the number 15 can be found by only two searches, 15/2 and 15/3, which is 5. Our initial results show that this approach can be generalized to factoring very large numbers as well, rendering all encryption mechanisms useless. However, our method is computationally expensive and may require a long time to find the solution, especially with our current inefficient Matlab implementation. We expect significant acceleration by using the C programming language, and by using parallel platforms, like GPGPU.
       

  73. the curse of modern departmental science... by hitmark · · Score: 1

    I recall hearing about two people that shared a nobel price, because they discovered that something in physics where the same as some pure math issue. This simply by having someone math researcher walk in on a physics lecture or something.

    Basically there are to many ivory towers, and not enough bridges between them.

    Hell, a astronomer suggested that volcanic activity could be linked to the moon (in much the same way as tides). Volcanologist basically told him to get lost as he was not qualified to speak on the subject. This even tho he have been able to use his theory to predict volcanic activity.

    --
    comment first, facts later. http://chem.tufts.edu/AnswersInScience/RelativityofWrong.htm
  74. I can be a medical researcher too by qmaqdk · · Score: 1

    "The well know Tai's method can in most cases be improved by fitting a quadratic curve under each section of the curve and then summing the respective areas below the quadratic curves. I call this method S. Impson's Rule."

    After this I would publish improvements every three months, fitting higher and higher degree polynomials. Then: Profit!

    --
    My UID is prime. Hah!
  75. Maybe in 200 years? by tempest69 · · Score: 1
    The problem is simply going to get worse. The real problem is that your result doesn't cost anything to build after it's designed, so there is little incentive to produce it exactly right the first time. And given the flexibility of code people expect that awful beginning design decisions should be easy to overcome. Whereas people just sigh when they see the road flooding because the drainage wasn't properly considered under a bridge.
    But I think that most software engineering isn't engineering. Though I love the way the word gets thrown around sanitation engineer, domestic engineer, network engineer, petroleum engineer. it just cheapens the whole field.

    Storm
    p.s. yes petroleum engineers have an engineering degree, but it's still fun to tease them.

    1. Re:Maybe in 200 years? by styrotech · · Score: 1

      I think you touched on part of what actual engineering is with your flood example. And I'm not implying that software never counts as real engineering.

      With actual engineering the limits of a design are an upfront consideration, and the recognition that all designs have some failure limit. And that the actual limit chosen for the design depends on a balance of budget and risk management. An engineer has to prove or at least satisfy someone that their design will work up to that limit - and cost as little as possible to do so.

      eg the drainage under the bridge - a low traffic rural bridge in an area with alternate routes close by is always going to receive less design effort than a high traffic bridge where closure would overload alternate routes (if any). So the local authorities might design the low traffic bridge to handle floods with maybe a 5-10yr return period knowing that it will need to be closed (or even repaired) occasionally. But the high traffic bridge might get a design based on a 100yr return period because a failure there is much more expensive to the local economy. Of course real engineers can still make mistakes etc, and not all drainage even has any engineering input at all :)

  76. another way by brannigan's+law · · Score: 1

    Spread some weed out (roughly uniformly).. cut the graph under the paper, roll it and smoke it. write down the number of ideas you get about cow powered space flights. compare with weed on a known area of paper. repeat for reducing error.

  77. MDs aren't supposed to be scientists by chihowa · · Score: 1

    the problem is that most MDs aren't real scientists

    MDs aren't supposed to be scientists, any more than JDs are. MD is a professional degree, indicating that they've learned everything that the certifying organization says they need to know to be an MD.

    Now that's not to say that some (many?) MDs don't think that they're scientists.
    I've worked with a few MDs in research, and it is a truly painful experience. Most of them have a fundamental lack of grasp of basic scientific ideas (the scientific method, controls, etc) and the results of their "research" are facepalm inducing. But as medical doctors, they're fine. They memorized all of the symptoms for whatever disease and can identify it just fine. I couldn't do that.

    (Of course I'm not too happy that they were paid five times more than me during this because HR likes MD more than PhD.)

    --
    If you want a vision of the future, imagine a youtube comments section scrolling - forever.
    1. Re:MDs aren't supposed to be scientists by blach · · Score: 1

      There's a lot more to being a medical doctor than memorizing symptoms. *facepalm* yourself.

    2. Re:MDs aren't supposed to be scientists by TheLink · · Score: 1

      Yes, bedside manner is important too. :)

      --
    3. Re:MDs aren't supposed to be scientists by chihowa · · Score: 1

      There's a lot more to being a medical doctor than memorizing symptoms. *facepalm* yourself.

      Yeah, and none of it is doing scientific research, which is what my post was discussing. Apparently reading comprehension isn't part of it either. Facepalm indeed.

      --
      If you want a vision of the future, imagine a youtube comments section scrolling - forever.
  78. Re:delusion that doctors make a lot of money by DocSavage64109 · · Score: 1

    I'll admit doctor's don't make "a lot of money" when they drive 15 year old cars and live in the ghetto like I do. Everything is relative.

  79. Mutual contempt by mlcatl · · Score: 1

    I was at the American Medical informatics Association meeting in November. The conference presenters in the sessions I attended were divided into three major groups: Health Care Providers, Management and Software Developers (including academic folks). In general, at least one group in the audience had a contemptuous "no shit", "no way" or "who cares" response to what was, in fact, clever, original work (even though it did replicate some basic tenet of another discipline.) And that was the response if it was a completely correct conclusion! That sort of mutual contempt between disciplines only ensures a continuous, wasteful cycle of "reinventing the wheel"

  80. AC's Method by Anonymous Coward · · Score: 0

    MY method is to generate variables uniformly on the rectangle [0,T]*[0, max(f(t)]. Let N be the number of uniform variables and n be the number of points (x,y) such that y f(x). Then n/N is the approximate area under the curve. Anonymous Coward's method compares favorably to Tai's method...

  81. Re:Also in chemistry.... NASA -- by NATP · · Score: 2

    Actually, some of the folks I know who worked early NASA efforts (Mercury-Apollo) did exactly this [weighing graph paper] as a means of integrating functions. Indeed, the graph paper they used was spec'd to have uniform density to within a specified tolerance - so that variations in thickness, etc. didn't affect the integral.

  82. Guy should have waited 10 years... by IBitOBear · · Score: 1

    ...added the words "on a computer" and patented it. Then it would have been novel, in-obvious, and valuable.

    --
    Innocent people shouldn't be forced to pay for inferior software development.
    --"Code Complete" Microsoft Press
  83. The point is... by NATP · · Score: 1

    Last time I checked, one had to take freshman calculus to get in to med school -- at which point the good Dr. should have been exposed to things like the trapezoid rule. But what's really scary is that the journal is (I believe) peer-reviewed -- so the reviewers missed it too.

  84. Anonymous Gem here by Neoncow · · Score: 1

    Dear mods, Anonymous Gem.