Mathematics Skills More in Demand Than Ever
knownsense writes "Business week has a nice article (feel good, low on detail, vague numbers) on the rise of maths and mathematicians in a world that is increasingly obsessed with statistics, advertising, search engines, and algorithms. The article also deals with issues of privacy. How has mathematics, statistics and other number driven aspects of life impacted you in the last decade?"
We all know that advancements in technology can cost people their jobs. However, in the case of the building industry in Texas, the effect of introducing new technology can often be somewhat delayed.
...sigh...
Back in 1997, my new house was in the slow process of changing from plans on paper into bricks on concrete. One of the tasks that has to be done early on is to lay out the shape of the house accurately onto the land. My builder uses a sub-contractor to do that - and I had occasion to watch him work. He arrived in a beat up old pickup truck with four 'migrant workers' sitting in the back. In order to lay out the initial 'bounding rectangle' of the building, they follow this algorithm:
* Measure a baseline for the long edge of the rectangle. Mark it with two stakes hammered into the ground and tie a length of nylon string between them.
* Tie a second piece of string to one of the stakes and measure out the width of the rectangle along it. Eyeball the angle between the new edge and the baseline so it's roughly 90 degrees and you have an 'L' shape. One guy holds the string there.
* Do the same at the other end of the baseline. Now you have a 'U' shape and two guys are holding the open ends of the strings.
* Take a third piece of string - equal in length to the length of the rectangle. Give one end to each of the two guys who are already holding string. 'jiggle' them until all three strings are tight. You now have a parallelogram made of string, staked out at two corners.
* Now take two long tape measures and with one guy standing at each corner of our parallelogram, position the tape measures along the two diagonals of the parallelogram. With two guys holding the tapes on the baseline stakes and the other two holding onto the strings and shouting out the lengths of the diagonals, they jiggle the two free points until all of the strings are tight and the two diagonals tape measures are reading the same lengths. This requires a lot of shouting, cursing and everyone telling everyone else which way to move.
* Now they have a rectangle - so they bash in two more stakes and then level the whole thing with a really impressive-looking laser contraption.
Well, I watched this with some amusement - and asked why they didn't just calculate the length of the diagonal. The boss guy said that you couldn't do that - "It's impossible". I told him about Pythagoras' theorem. With the aid of a calculator (he didn't know what that funny 'square-root' key was for), I was able to show him how easy it is to calculate the length of the diagonal and do away with all the ugly 'jiggling'.
"Wow!" he said. Then he thought for a moment - "Now I'll only need three guys to hold the string!"...and fired one of them on the spot! I thought he was kidding - but the next day when they were measuring out the place for the garage, there was one less guy holding the string.
So, a 2,500 year old technological advance cost some poor guy his job.
www.sjbaker.org
I wonder if this Neal Goldman was in the AV club during high school and had a crush on a girl named Meg.
Monstar L
I've always liked math. And, in the past decade, there has been much evidence pointing toward math being a primary component in a better lifestyle. It didn't fully hit me until I was a freshman in college and my computer science courses started crossing paths with my linear algebra courses.
But even in grade school, there was evidence that those in control of mathematics sat a bit higher on the food chain. For instance, I got into an argument with my dad (an independent concrete pourer) when I was in eighth grade. He wanted to build a base for a grain silo and needed to know how many cubic yards of cement was needed. So he was having a hard time computing this. I told him it was (as we all know) pi*radius^2. After much debate, I gave him a piece of graph paper and a compass and told him to draw it and estimate the number of squares. I don't look down on my dad, he just never had an education like I was privileged to have.
And so I slowly started to realize that mathematics were the underlying principle to everything. Maybe you've seen the motion picture Pi and remember the part where the main character has a revelation that everything can be described by math. In my opinion, he was dead right.
The key to math is that the application of it is far more useful than the raw theory of it. That's why the actual profession of mathematician is rarely sought after, instead, the ideal situation is one who has a firm background in math due to classes or a minor.
After taking a statistics course, I realized that math helps us predict the future based on prior events. What is more useful to a human being than to be able to predict what is going to happen? As H.G. Wells might tell you, not much.
This article was well written as it pointed out the good and bad aspects of the power of mathematics. The funny thing about math is that it's neither good nor evil until it's applied.
My work here is dung.
Were did the plural Maths come from? Its common in the UK, Aus and NZ.
It helped me work out my chances of getting first post on Slashdot. Its very low. However to counter this obvious grief I do more maths, my spirts improve. I then realise with all the maths in my life and trying to get first post on slashdot, I won't get a girlfriend, my spirts drop off the charts.
"I'm going to f***ing bury that guy, I have done it before, and I will do it again. I'm going to f***ing kill Google"
"We'll have systems that tap our knowledge by the minute," [Pierre Haren] says. "Productivity could rise by a factor of 10."
:)
That's nice, but which factor? 1 is a factor of 10
Guy asked me for a quarter for a cup of coffee. So I bit him.
I guess I better replace the batteries in my calculator.
How has mathematics, statistics and other number driven aspects of life impacted you in the last decade?
It hasn't gotten me laid yet.
perpetually dwelling in the -1 pits
They always advertise it as a field, and sure it's interesting, but as a job, to be a mathematician you're typically in a position where you are a tool for the non-mathematician's. Of course the non-math's want more math's to do the work for them and tell them what to do... but is it a good carreer?
How has mathematics, statistics and other number driven aspects of life impacted you in the last decade?
It made me go made hairline recede like crazy as I studied calculus in school and at college.
The technique in this article is actually used, too, and can be used on different levels. That is, the BW article says this company uses it to measure the distance between two articles, but you can use it to compare the distance between two words. Here's how.
Let's say you have some corpus with N distinct words in it. For each word w you create a "context vector" vw of length 2N. In the first N positions there are counts for the number of time each word in the corpus appears immediately to the left of the word w, and for the second N positions there are counts of the same for the right context. The angle between any two vectors in this 2N-dimensional vector space produces a measure of the distance between the two words. If you use some kind of dimensionality reduction technique to get a 2-dimensional representation, you can see that although this technique is pretty crude linguistically speaking it does pretty well. Each language has a distinct "shape" in this regard, with similar words grouped together, i.e., in English there might be a cluster of points consisting of "singular nouns," or specific parts of speech, like prepositions. It can sometimes even group words by semantic domain, depending on your corpus.
Remember kids, computational linguistics is fun!
Article is missing the most important part....
is it 2x more? 3x more? Maybe 5(log n)x^2 more? sin(cos(log (pi) * -1/2)) + e? More importantly, how much has the standard deviation moved from previous years to this one?
It's just unfortunate that so few people do have an understanding of statistics. I've lost count of the newspaper stories, even years-long media-fuelled "controversies"-, which are based entirely on misunderstood, misrepresented, or malformed statistics. "How to Lie with Statistics" should be required reading in high school.
No kidding!!! What do you say at this point?
A rise in Maths and Mathematicians? It just doesn't add up!
Don't they have 3,4,5 triangles where you live?
statistics, advertising, search engines, and algorithms.
and Texas Hold'em.
This is news only in the retarded world of business. I think we in the natural sciences have capished this quite a while ago.
From TFA:
It may be just me, but it seems that lots of the traditional computer science curriculum has changed. I remember there being some calculus and statistics with calc requirements. Recently I looked at some school catalogs and was surprised to see that the math requirements for a computer science degree had changed substantially to the point that calc II or III was no longer needed. If the article is true then we're in for a real shortage of programmers who understand the mathematics.
At the same time I'm seeing mathematics positions than seemingly didn't exist before. The odd thing is that they were primarily math positions with some computer language requirements instead of the reverse. Instead of some actuarial positions, there are openings in software houses, animation studios, civil sector, etc..
Guess geeks will have their time in the spotlight again soon. Yay for me.
KLL
Imagine:
1. Having your TV programming automatically fed to your house based on your previous preferences
2. Having web sites sent to your browser based on predictive algorithms sitting at Google
3. Receiving even more targeted advertising sent to your mail box and telephone (during dinner)
4. Etc.
One of the (many) problems with predictive algorithms and maths is that it requires input as a training set to determine the output. The implication is that all of this targeted marketing will make it harder to find new and different things and experiences. I already get this crap with Amazon, which seems to regurgitate suggested reading titles for books I've already bought (many from Amazon).
Part of the spice of life is finding new things. The trend towards compartmentalization and specializationg driven by marketers and business interests will make life more boring.
Stopped me getting laid for most of it.
Next question...?
http://instantbadger.blogspot.com
I could *erm* go on & on....
Smile, it confuses people
"How has mathematics, statistics and other number driven aspects of life impacted you in the last decade?" .9999999999999999999999999999999999999999999999999 99999999999999999999 times the speed of light...
With the full force of an electron accelerated to
Women- the final frontier...
The mechanism through which I get paid
"Truth is much too complicated to allow anything but approximations"
Many of today's technologies wouldn't be possible without modern mathematical topics like Fourier Analysis, the Shroedinger equation, and Symbolic Logic just to name a few.
Most of us use these technologies on our ipods, cars, and computers without even thinking about them.
Yay, Math!
Never ask for directions from a two-headed tourist! -Big Bird
It's true that mathematics is very much in demand, but unfortunately in the UK that hasn't translated into a greater interest in mathematics. I don't know how things are abroad, but here it's considered shameful to be illiterate, but almost embarrassing to be numerate.
I'm currently at uni studying maths, and a huge number of the people on my course are from overseas. Is it only the UK which seems to suffer from some sort of violent social allergy to mathematical competence?
I would skip the Dual Major, Comp Sci/Business Admin undergrad & MBA combo I did and do an undergrad with a major in Math, minor in Finance, then a Masters in Financial Mathematics and be a broker right now, making millions (or at least hundreds of thousands). Thats what math could've done for me; I only wish someone had told me.
Math is truly the most awsome among all subjects. Learning it offers you the kind of freedom that is unmatched by learning any other subject. Have you noticed how a mathematician can switch easily between multiple areas of study? That's cuz one can apply math to almost every field imaginable from Language (Computational Linguistics) to Biology (Computational Biology). I don't mean to dismiss learning other subjects (it's important to be well rounded) but can any other subject gift you you with such amazing flexibility?
:)) to appreciate the beauty and elegance of this amazing subject.
There's beauty and elegance in a mathematical result which will always remain true forever. School kids even today, study about the Pythogoras theorem - a mathematical result that was established more than 2 thousand years ago. You're learning Calculus that was discovered by Newton & Liebniz several hundred years ago. Compare this with other fields like Management where the MBA syllabus keeps changing as newer management techniques and new buzzwords/MBA jargon are invented.
Again, I don't mean to dis MBA dudes. It's just that in an fast paced information age where paradigms are constantly being challenged and new ones being invented, it is reassuring to have a body of knowledge that you can always depend on no matter what.
Seriously! You don't have to be good at math (I'm just a lowly Master's and that too in CS
I can't imagine how many more kids would learn math and be good at it if it weren't for the whole "math is hard and dumb" attitude of the general public in the USA. I don't think kids go into math thinking it's all that hard, but teachers even tell them it is. When that kid goes home, his parents tell him it is. The media makes math "stupid" and even in cartoons, portrays people that are good at it as social outcasts. How is this helping us in any way? I think the best advance that Math could take is to achieve a positive image in society. If that happened, then its advancements in science could only increase faster.
stuff |
i know that fantasy sports keep me doing a bit more math/stats than usual... not that these are very important uses and such, but i would say that since playing fantasy sports since 14 (25 now) it would qualify as an impact on my life...by getting used to stats at an early age you kinda just start playing with numbers more...i think its a good thing
Do not worry about your difficulties in mathematics, I assure you that mine are greater. - Albert Einstein
I have learned that you can do wonderful and amazing things with machines and math, but machines themselves will never reproduce the creativity, insight, and wonder of the human mind.
He who knows best knows how little he knows. - Thomas Jefferson
It has deeper implications than "just math". I don't know how far you've gone with computer algorithms, but I attended a wonderful talk given at my University by a gentleman who has been related the logic behind that statement to other things.
It has very deep implications on what can and can't be proven or computed within the lifetime of the Universe, not "just" math axioms. It's not that math is limited, it's that information theory is complex. You imply that math is a creation like a telephone (" realize that math and even logic are human's own inventions, and are limited in what they can be applied to.") when, in fact, we are merely describing underlying features of the Universe.
Go learn about NP vs. P and other parts of algorithm theory, then talk to me.
--
Internet Explorer (n): Another bug -- that is, a feature that can't be turned off -- in Windows.
How ironic.
It's funny, but I've used more math (especially geometry) doing home improvement projects than I ever did programming computers. Granted, I've never did any intense graphics programming, but a little bit of UI type of stuff.
View FoxTrot cartoon and figure out its Easter Egg. I suck at math, but at least I knew it was binary and had to decode it. You can view AQFL for the analysis and answer. :)
Ant(Dude) @ Quality Foraged Links (AQFL.net) & The Ant Farm (antfarm.ma.cx / antfarm.home.dhs.org).
I would like to know if there is a way to make money out of maths skills, as a freelancer.
I mean, I have a phd and I'm quite good at maths, having solved the 3 problems who where thrown at me in 1 year and a half (instead of the regular 3 years) but what I would like to do is :
solve mathematical problems/bring solutions to people/firms in exchange for hard coin.
Kind like a mathematician freelancer/mercenary : You do the job, you get the money and that's it.
I mean, there are web sites for freelancer artists/web developer/coder. But there isn't one for mathematicians.
So, the only way to make money out of maths (in france) is either to teach it or to research in an university. Either way, you are a salary man.
Man, that sucks.
What is the use for those monsters maths skills, that I patiently honed all these years if I can't even make a little cash out of it/or make more money out of it that the average teacher (that really sucks at research/high lvl maths) ?
If you have a Python 2.4 interpreter handy:
>>>l = ['01011001', '01001111', '01010101', '01001110', '01000101', '01010010', '01000100']
>>>''.join([chr(int(i, 2)) for i in l])
'YOUNERD'
[b.belong('us') for b in bases if b.owner() == 'you']
I had to study a lot of calculus as part of my degree. Now I barely use it. And even then it's just the occasional exercise for fun, just to keep those skill sharp.
I've hit Karma 50 and gotten a Score:5, Troll... I win!
I am amused that the average US consumer cant do arithmetic worth sh*t. I see this while in line in grocery stores and fast food places. The clerk or scanner makes an error about one in ten or twenty times on average. Randomly the errors cluster sometimes exceeding a couple dollars per transaction. Neither the customer or clerk notices this.
>Instead of some actuarial positions, there are openings in software houses, animation studios, civil sector, etc..
i am a final year mathematics student whose dream isn't to work as an actuary or for a merchant bank. if anyone has advice on interesting fields where mathematicians are required rather than tolerated, i would appreciate it. or in general, advice on where to look.
i have studied almost exclusively pure maths, mainly analysis and number theory with some algebra and computational stuff, and can program C, some Fortran and some C++.
my password really is 'stinkypants'
When I tell a potential employer I know Galois theory, he stares at me for a few seconds, and then asks me "Do you know how to use Excel?". To which I reply that I prefer Mathemathica and rarely touch Microsoft products. Then the interview is over.
When I tell a girl I admire her Riemannesque topology and say her virtues are greater in number than those of the girls of Lesbos combined and raised to the googoolth power, she says: "Dude, you are such a sweetie, but I have to go now".
When I tell my neighbor he can make his wine cellar temperature independent by putting it y meters below the ground, he says "Well, aren't you a smarty, boy!", grins, and then returns home to put on the missis.
It doesn't matter. 93.7% of all statistics are made up.
When you have so many news stories about anti-competitve rules being put in place in public schools it gets depressing. From schools where getting the responses to questions right isn't as important as understanding who you are. Where schools that don't require you to graduate to get handed a diploma to ones where you have multiple class valedictorians. To read about stories that students put a stigma on success in school because its too much being like "the other race" or such non-sense. Where teacher unions are more to protect themselves than promote the education of children to school boards where the administrative salaries outweigh those of the teachers.
Education in this country needs a serious reform. The primary focus should be making our children the brightest and best in the world. If this means putting public schools into competition with private schools for taxpayer dollars then do it, its done in parts of Europe to this day! Instead we have a system which is run by people only concerned about their welfare and shoving their correctness down societies throat. The schools are not used to educate but to condition. When steps are taken to hold them accountable they run to the courts scream racism, fairness, and about religion. The people teaching our children should never have become second to the people who oversee them just as the children should never have become second to those who teach them.
First and formost disruptive students should not be allowed to force the system to adjust to them.
Next teachers who cannot meet the requirements should not have the "right" to stay simply because of tenure and union muscle
Schools should not have an absolute right to taxpayer money.
Public, private schools, and even home schooling should all be held to the same standards. (currently some areas pass laws that are more strict on anyone but the public school!)
Students who do excell need to be encouraged, not dragged down by anti-competitive practices
Religon should be the domain of private or home schooling. However its existance there should not be grounds for withholding funding. The standards for funding should not even hint about requiring or disallowing religon. (again, all schooling should have the same neutral standards)
Testing must be mandatory at all grades. This allows for quicker identification of students who need more help and systems than need changing.
Its been far to long that people just send their kids off to "public daycare". We do a disservice to our children and society as a whole by not pushing for the best we can have. Throwing money at the problem will not work and has proven so. We must also set levels of achievement that all sides can understand.
* Winners compare their achievements to their goals, losers compare theirs to that of others.
It hasn't "impacted" me at all -- unless it screwed with my wisdom teeth or made me constipated. It might, however, have affected me in some way.
The illiterate slashdot hordes... resist the evil of corporatespeak. Impact, leverage, transition... they're all nouns, people.
As an undergrad math major, I thoroughly enjoyed my Mathematical Logic course, including Goedel's Theorem (as a sidenote, I recommend the professor's textbook, though it's now out-of-print I think).
But so-called "Ivory Tower" mathematicians don't get it. The statement used in Goedel's theorem is not a useful one (despite being true) - and Goedel's theorem says little about our ability to prove or not prove useful statements in mathematics. It is an interesting sidenote (one often abused by philosophers and "intellectual" opponents of mathematics), but says little about the tool-other than it is limited in some way. Is it an important way, a way that will inhibit our ability to use the tool? That's not clear based on the Goedel's results.
In order to use statistics and algorithms, one does not have to be a mathematician. The only time one needs to be a mathematician is when there is a need to work on the statistics or computer science. Of course it helps being a mathematician, but in order to use statistics effectively, one has to have knowledge of the measured items as well...the same is valid with algorithms: one can use algorithms, but he/she does not have to understand lambda calculus.
I really doubt, without RFTA, that mathematicians are in demand. What is in demand is people that can incorporate and work with statistics and algorithms...although I am not sure about the latter either, because with the latest bunch of programming languages, many things are already laid out for the programmer.
While browsing the stacks at my local library I came upon the mathematics section. It only contained about five or six books: two grade four or five textbooks and a couple books on math puzzles. I found this very disappointing given the importance of mathematics in so many fields, but then, to make things even worse, I happened to notice that the nearby sections on U.F.O's and Witchcraft were actually far better stocked. It made me wonder if this was caused by society's indifference towards mathematics or if it was merely caused by the liberal arts bias of most librarians.
That's not math, this is math (Jason's Nerd Search).
Were that I say, pancakes?
> How has mathematics, statistics and other number driven aspects
> of life impacted you in the last decade?"
I don't get laid. http://jwz.livejournal.com/284187.html
Math majors from top schools are being recruited (along with other hard sciences, physics and CS) by banks, hedge funds, etc. and getting 6 figures right out of college. No kidding. The story is, about a decade or so ago, some hedge funds decided to try letting some really smart people (i.e. math majors from top schools) handle money. They did so well, they made a fortune and it turned the industry upside-down. Well, that might be an exaggeration, but it's more or less true.
Markets had a number of pricing inconsistencies, etc. in them, and these smart mathy people figured out how to take advantage of them. Lots of algorithms and computer programming found application to managing these hedge funds. To correct for these abuses, the markets had to close the gaps and inconsistencies these hedge funds were abusing.
Although a lot of the market problems have since been cleaned up, a lot of math is going into managing funds to maximize profit. There aren't as many people making millions off of just trading, but there's a lot of jobs in the financial industry for smart math people that still pay extremely well.
The financial industry learned its lesson: math is incredibly useful. This has already been obvious in industries like computer programming, where sophisticated math goes into designing algorithms. In the future, I think we'll continue to see other industries finding out how huge the benefits of math can be.
Comment removed based on user account deletion
First let me say that I am not an opponent of mathematics, and hope you aren't calling me an 'intellectual' :)
.. we change the forward possibilities of the universe in ways that we don't perceive, even by OBSERVING something happen, or not. The many possibilities for reality collapse to one with the passing of time.
Second, I agree with what you're saying -- Goedel's statements have more value to the intersection of math and philosophy than in the work of a Mathemetician. My own feeling as to why that is, is this: Realizing that using the framework we have established, within the limits of our own understanding, as Math (or substitute Logic) means that we might be precluding our own understanding of some OTHER things, but it's not always clear what those things are. (Because we're stuck in the box of the Math we know). It's a bit like having the uneasy feeling that by taking one course of action, you prevent yourself from discovering others that were options at the time you started down the path you're on.
Some bits of quantum theory seem to echo this
I agree that Goedel, like much of science, raises more questions than it answers.
A computer without Microsoft is like ice cream without ketchup.
May I point out that not all reasonable people believe that math is our own creation per se. (No, I don't support Intelligent Design). You will find textbooks filled with discussions on the nature of mathematics, varying from pure Platonistic arguments down to Positivism and a plethora of other ideas. Godel himself was more of a Platonist than most of us would anticipate. In fact, most of us carry an implicit Platonistic attitude. As a great example, almost every science headline resorts to "X discovers Y!". Now, in order to be discovered it had to be there in the first place! There they are, the per Our scientific community has an implicit Platonistic view and I think most people don't realize that until you expose it. (Well now you should know!)
As for Godel's Incompleteness, it is an amazing result but it's not a silver bullet for math. It killed Hilbert's program, that's for sure, but it's hardly the end of math. Technically speaking, we can disallow Godel's result by fiat through some clever limitations, but the problem with that of course is the very fact that we're disallowing by fiat. And not to mention, not all of mathematics is affected either (ex. third order logic seems to be doing fine).
I've listened to dozens of arguments trying to outright discredit math based on Godel's results, and I must say, 99% of the time the speakers only have superfluous knowledge of the result and yet they extrapolate to derive amazing results. It reminds me of AI (Artificial Intelligence) where every other psychologist talks about the 'limitations of machines' blatantly unaware that what they are really referring to is the 'limitations of algorithms'. It's a succinct point, but before you build your mansion, might as well check the foundations first, right?
I think that while daily life these days is saturated with mathematics, most people don't even notice it.
When you Google, when Amazon makes a recommendation for you, when a credit card company decides to send you an offer, when you hear the latest economic/housing/employment/crime/you-name-it figures on the news, when your doctor suggests a particular treatment, when you take a picture with your digital camera, when you use your cell phone, when you enter your password on your computer, when your car controls engine timing and fuel mix, when you use your garage door opener ... and a thousand other things.
These things are driven by statistical algorithms, compression algorithms, encryption algorithms, random number generator algorithms, and a host of other mathmatics. We utilized these math driven tools every day, and 98% of people don't even realize it. If you asked them they would say "math? stats? Booo-ring. Who needs it?"
"I don't know half of you half as well as I should like, and I like less than half of you half as well as you deserve."
Hmm, ./ garbled one of my sentences. Should say:
"There they are, the perfect performs!. Ah, Noesis!"
. After all, it's hard to even imagine how human language could fail to describe a truth condition. And of course if that's the case, human language must be something truly and completely different than formal language.
GREAT point. I meant to bring this up with the original Parent post, but didn't want to get too off-topic. The idea from linguistics that our thoughts have some inherent limits due to the language we think in (and also our skill with that language) has always rang true for me. aWhen I was in school and taking Spanish I often dreamed in fluent Spanish (and spoke it in my sleep, reportedly). A linguistics professor in college brought up this idea, and I realized that I don't always think in ENGLISH (or Spanish) but sometimes just abstract forms. I wondered if this was an echo of the linguist's "formal language".
A computer without Microsoft is like ice cream without ketchup.
Surely that's mathology. Mathematics is the doing of maths.
I have heard this before. When I was working on a math PhD in the 90's they said the same thing. But then, it was Wall Street calling.
Know math... Yes... But as a platform to an applied field where you will stand tall with a strong math background.
Otherwise, get ready for low pay unless you graduated from MIT, NYU , or Cal Tech in a program designed specifically for the "latest" applied math craze. I watched graduates from a top 10 Applied Math Program grovel for 1 year post-docs. Many went into Comp Sci AFTER receiving their PhD because they did not want to enjoy the bountiful $35K they would get as a post-doc.
By the time a place like Business Week has an article on this, the top math programs located nearby the trend (Read that Boston, NY or Silicon Valley) already have a specialized sub-degree for the trend.
Also, be aware that PhD's tend to prefer hiring students from their adviser or their academic friends. Also a limiting factor for getting a job offer as these high end applied research jobs.
Yep, stick with your applied field and a strong math background.
Filler
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This is a widely-cited and often misquoted (and misunderstood) theorem in economics. "Win-win" in this situation requires that the winners compensate the losers. If you don't pay compensation for the loss (e.g., the salary they would have earned), then you have a winner and a loser, period. You have no way to say that one's gain offsets the other's pain.
The economic theorem says that the monetary gain for the winners is great enough that it is *possible* for the winners to compensate the losers so to leave as well off as before. In this case everyone is at least as well off. But if you don't compensate the losers, you can't say a thing.
Considered the fact that the only time in my life when I needed trigonometry was the day when I wanted to fix an IKEA lamp diagonally across the room.....oh wait.. last decade he said. No. nothing.
Guy on Street #1: Well, you tell me. Louie left his house at 2:15 and had to travel a distance 6.2 miles traveling at a rate of five miles a hour. When will Louie get here?
Guy On Street #2: Depends if he stops to see his ho.
Guy on Street #1: That's what we call a "variable".
Remember kids, with great power comes great opportunity to abuse that power
Hell yeah, I knew my mathematics degree would make me money :-)
Knight jumps queen! Bishop jumps queen! Pawns jump queen! Gangbang!
It's good to be the king.
I remember reading this exact same post in a story months ago.
my wife has a math degree and cant find a job anywhere... can anyone tell me where, in real life, to find these jobs?
I must be on crack OR ./ is playing mindgames on me.
Not "performs", but "forms".
*Puts down the coffee mug*
Why are slashdotters so bad at math? Because they keep telling their hand it's six inches.
"You'll get nothing, and you'll like it!"
Better math geeks = Better visualization plug-ins for various media players! /me gets his pipe and lighter.
Okay I program accounting software. IBL's are a b****.
Only 'flamers' flame!
Does slashdot hate my posts?
In fact, much work has been done in the last few decades in the model-theory literature. It used to be believed that Goedel like unprovable, unfalsifiable statements were somehow unnatural and would never surface in "ordinary" mathematics. After all, except for theoretical computer science classes, where does the halting problem show up in ordinary computer science? Then came the Paris Harrington theorem, a result from generalized ramsey theory which was proved to be unprovable in peano arithmetic. Since then other natural unprovable results have been found as well.
And so I slowly started to realize that mathematics were the underlying principle to everything.
No. Math is currently man's best attempt at describing the underlying principles to everything.
The difference is important. If we confuse the map for the terrain we start limiting our own options for innovation and production.
The high level of isomorphism between math and reality is a product of centuries of trial, error, and refinement. This process must continue, and in order for it to do so an understanding of the limitations of mathematics must be kept firmly in mind.
Math should be thought of as a tool, not a religion.
It's either that or the old tradition of exposure.
You stole that from Letterman!
Back when computers were first put into use, their primary function was highly math-intensive - in fact, that's about all they did. I'd argue that much of what computers do today have little to do with math- much of the effort is focused on "e"-izing procedures that were formerly manual, or that require restructuring to accommodate a changing bsuiness climate. To be sure, there are still specialized pockets that rely on heavy math (like weather forecasting, statistical analysis, graphics, etc), but a degree in math certianly isn't a requirement in order to write a halfway decent business-related web app.
Disregarding people deeply entrenched within Philosophy is easy, because rarely is it the case that they have the mathematical maturity to discuss subjects that they freely think they do.
Take for example you.
Gödel's Incompleteness Theorem deals with consistent systems in first-order logic. Please provide a proof that "the human mind" is a consistent system.
Being able to claim something is true is easy in any system.
Just give me a break, Cody...
/.
I know some guy in his 40's who works for some well-known company and
has "Research Scientist" written on his official company's card.
The guy has an Associate degree from some sort of community college...
While your education listed on your resume is much better that his,
it is far from being impressive. Well, maybe it is here, on
Tell your stories of "corporate mathematician's success" to somebody else.
One great difficulty in the adoption of statistical methods and statistical thinking is the question of the interpretation of probability theory. Most statisticians and physicists favour the frequentist interpretation (at least according to Wikipedia), but in computer science we often see the subjective interpretation as well, mostly in its Bayesian form.
In using and understanding statistics, I believe it is crucial to consistently adhere to one interpretation of probability. In media, I have often seen frequentist statistics being presented as if it were to be interpreted subjectively. I think honest presenters of statistics must acknowledge that there is a mile-wide gap between asserting that the relative frequency of some event is high in a certain sequence, and asserting that the degree of rational belief that a certain event will happen is high. Even if everybody read "How to Lie with Statistics", I think the problem of the interpretation of probability would continue to be a source of confusion for both the general public and statisticians.
In my probability and statistics class, I was frustrated by the fact that they did not even mentioned the problem. We were simply given the Kolmogorov axioms and some set theory and told to get to work. However, I suspect this is the common case for such entry-level courses.
I think you over-estimate the quality of life at the poverty line and all the problems that go along with it. The sense that you give is that people who live under the line have all the amenities everyone else has, but only to a lower quality.
Let me help you out here. I lived with a family of 6 whose yearly average of taxable income of $14,000 (c.2000). We received welfare ($600/month), food stamps ($250/month), and received subsidized rent via HUD ($-400/month). As you can tell, we were below the poverty line.
Now consider the average education level of those under the line. I think my family was a good example having a Vietnam-vet with a GED as a father and a middle-school-educated mother. They were not capable of finding significant income in an area that would allow "people like us" to live.
They eventually got a car-- an '80s junker on a 16% interest loan. We had 2 color televisions with cable. "Why?," you ask? because there is literally NO OTHER WAY OF ESCAPE in a society that focuses around entertainment! A one-time cost of $200 and a monthly cost of $25 is damn reasonable when you consider that most Slashdotters rarely think more than twice about upgrading their system (or buying a new one) with a pricetag of 200+.
Lastly, there's all the qualitative differences in a family that lives below the poverty line. There's frustration (an extreme understatement here) of being stuck and unable to provide. This anger is, more often than not, expressed physically with women and children on the receiving end. There's depression, lack of confidence, in ability to socialize outside of your born-in group as other groups cost money to associate with, no culture of education... there is no hope.
So, before you rain judgement from upon high based on severly miscalculated eyeball-assumptions, give it a shot.
--Ps. The polio thing made me laugh. If you're poor and living in California, you have a limited number of times you can see a physician, emergency room, dentist, or an optometrist in a year. When I was in high school ('96-'00) we had 6 stickers on our Medical tickets. 1) Glasses, 2) Fillings, 3) busted thumb in PE, 4,5,6) Tonsilitis. After that, and with a 104-fever, I was SOL.
The correct formula is
(Mathematics)/(ematic) = Maths
Have you ever worked in academia ? Apparently not.
Most of the mathematical publications coming out of universities these days are complete and utterly useless junk.
The only goal is to get tenure by publishing a lot of junk.
What lasting impact on humanity are you talking about ?
The thing (academic career in math) is f****** broken...
Yea, it'll be even funnier when the rest of the world leapfrogs us.
I don't seem to see that "bias" over in Korea. Or India. Or half a dozen other "asian tigers". But of course, since we're American, we're the best.
Right? RIGHT?
That looks vaguely like the Sapir-Whorf hypothesis, except that Whorf was predominately discussing the limitations imposed because of the natural language that you think in. You latter go on to dismiss a big part of this by suggesting that you in fact think in abstract concepts. You then convert those 'ideas' into language to communicate them. You probably find at times that it can be difficult to express the concepts in your mind using the language you're using to communicate, so that others can understand them. This is one of reasons Sapir-Whorf has fallen out of favor, because while language can culture as any experience likely influences the manner in which you process reality, it does not limit your ability to process reality. There's that and the intellectual dishonesty of Whorf and his Eskimos have Four Bajillion Words for Snow fabrication, that still gets dragged around today by people that don't know any better.
Being a Ph.D. sucks the most.
Flush your Ph.D down the toilet, get into some IT and software related consulting venture and your financial prospects will greatly improve...
The simple fact is that only a small percentage of the population has the requisite knowledge of mathematics, and only a small percentage of them have the passion and drive to pursue math even further. I am one of those mathephiles, and I'm proud of it. The problem with the article is that non-mathletes don't necessarily understand mathletes. It raises privacy problems and such as problems in the mathematical world, but the real fact is, math really does nothing to avert privacy. Maty can be used to devise algorithms which may or may not undermine privacy. The real fact is, however, that overzealous entrepreneurs will attempt to bastardize the good applications of math for their own ill gain. I don't really see a problem with the mathematical progress we make. I personally think that if businesses use math, and consumers are too stupid to realize they are being pimped, for lack of a better term, by industry, then they deserve what they get. I will still be an alert person and protect my privacy by being careful. There is no substitute for common-sense.
The other problem I have is that we need to lure women and "ethnic minorities" into mathematics. Sure, it would be wonderful if there were more female mathematicians. But we can't simply set up a quota system for mathematicians. This is more of a society problem than education or anything. Big entertainment has put out this message that being intelligent is "uncool," especially when one is good at math. In fact, society scorns illiterates, but people brag about inneptities in mathematics. Look at the news media. They are preaching about this avian flu, but their already fragile case for hysteria is flattened by their fouled up statistics (no pun intended). They say the mortality rate is something like 75%. With a logistic growth model, that would knock off huge amounts of the population in its second stage, which has definitely not happened yet. But if you look at the sources of their statistics, they only accounted for people who have been confirmed with avian flu, and specifically those who died or were critically ill. The actual numbers of people who have been infected is probably much higher, and in past years many people have probably been affected by it and then overcame it, thinking it was a "normal" flu. With these people taken into account, the true mortality rate is probably much less. The lack of math knowledge in the media is terrible, because these people just utter words that they think they understand. "Mortality rate" is the ratio of deaths (with respect to something) per 1000 people. If you looked up infant mortality rate, it would be quoted as "n deaths per 1000 live births". When society en masse becomes more attentive to mathematics, then we will start to see women enter the field.
'Ethnic minorities' was the phrase that stumped me. Why do we beat around the bush and use this PC "ethnic minority" crap? I work in a physics lab with physicists, enginneers, and mathematicians. Its like the friggin' UN in there. A guy from Thailand, one from India, a Pacific Islander, a guy from China, a black guy, then two white guys (another guy and I) all work in an office. There is no clear majority! The only real fact is that we're all men. What pisses me off is that we can't say "we wish more blacks would enter the mathematics field," we have to say "we hope 'ethnic minorities' enter mathematics." Ethnic minorities are distributed all throughout mathematics in the US. Asians, Indians, and Arabs are all present in mathematical fields. Maybe when ignorance by the media is overcome, and the real truth is confronted, then we'll see mathematics interest really spike across the board.
Love the sig, cracked me up. Thanks XD
Excuse me, wtf r u doin?
When Genius Failed by Roger Lowenstein
and
Fortune's Formula by William Poundstone
Both speak of how Wall Street (and hedge funds in particular) use mathematicians. Both show how those legends you speak of really turned out. Both are very good books (one of them is great), although it sounds like you might be turned off by the general tone of them and the conclusions reached.
I have to warn you, the story isn't pretty. Frankly, I think the major thing Wall Street does is use mathematicians to devise systems (the 18th century France definition of system) to "make money" on the market. In reality, just like martingale, they're creating systems that appear to make money but in reality just yield tiny profits countered with the occasional enormous loss that is much larger than the profits. They're still losing money, it just appears they're not when the mathematical series hasn't run its course.
http://lkml.org/lkml/2005/8/20/95
One thing that I don't get... Why is "pocketing" money a bad thing? No one ever actually "pockets" money. They just about always spend it on something else. Even if it's just putting it in the bank so they can build up interest for later, it's actually giving it to the bank to spend on something else. Money never sits in once place, unless you actually secret it away in your mattress.
And it's that movement of money that helps everyone. The increase in the movement of money, the "acceleration" of the economy, as it were, helps increase the economy and provide the resources for better wages, better technology, all of the "better" things that people have been mentioning in this discussion.
Seriously, I have this same sort of problem, but the problem is not what you say, it is in the delivery. People are not receptive to intellectual snootiness, even if you did not intend it that way. Instead of a terse "excel is crap, mathematica is much more leet" type of reply, say something along the lines of "I can use Excel, and it is a very useful tool. However, oftentimes I need some extra functionality I can get with only with Mathematica, like the ability to solve differential equations." Learn to talk with people, not down to people. It's a bitter pill to swallow, but get over it and yourself.
I'm trying to do the same.
A witty saying proves you are wittier than the next guy.
I gave away 3 working color tv's last year. Of course poor people have a color TV, a "color tv" is WORTHLESS, unless it's brand new and over 32", hell, I bought a 32" at a yard sale for $5.
Vote Quimby!
"In "Incompleteness" by Rebecca Goldstein, she talks about writers in the philosophy of mind that have taken the Incompleteness Theorems to mean that the human brain computes in a fundamentally different manner than a Turing machine. After all, it's hard to even imagine how human language could fail to describe a truth condition. And of course if that's the case, human language must be something truly and completely different than formal language."
One simple counterargument against this is that all the incompleteness results are talking about infinite sets of formulas. The set of all true sentences of arithmetic with less than n symbols, where n is, say, the number of particles in the universe, is decidable (because it is finite).
So are these people are claiming that humans can decide the truth of sentences of arbitrary length? Human lifetime or number of neurons should lead to an upper bound.
(Sorry if I got something wrong technically; it has been a while since i last looked at logic/computability)
"extract tone information from a recording"...
Hm, how many US patent are you infringing ?
Never mind, just joking...
Good luck with selling your software to an eagerly waiting customer...
Man, either this thing is made up, or that contractor was immensely stupid. Yeah, I realize not everyone is a geek, but like other people here have mentioned there's the good ol' 3, 4, 5 right triangle for squaring an angle. See, I'm not in construction, but I used to listen to Adam Carolla who has done a lot of construction work and he mentioned the 3-4-5 rule.
There's this general principle that people tend to learn and remember things that help them do their job better, regardless of whether they know or care about math or science at all. So maybe that guy learned something new that day, but if so, it's really kinda sad. I would've thought that he would have picked up the rule quite a long while ago already. Oh well.
Furry cows moo and decompress.
My highest level of math was Calculus 3. But, when I was in school, I'd learn just enough to do well on the tests. I never really "understood" the math at a deep level. So now, when I'm doing stuff that would actually use it, I feel disadvantaged. Hell, I've forgotten what sine and cosine mean completely.
What's a good way for people like me to go back and relearn math to really understand it?
There is a "bounty" for solving any really useful math problem:
it's called US Patent..
But to claim this bounty you have to be rather well-to-do financially in the firsty place and live long enough...
I am not aware of any other kind of "bounty" in existence...
I am a freelancer mathematician (see http://www.northcountrynumerics.com/) . I work in seismic exploration, and also defense-related industries. I don't think it is possible to do this kind off work without having lots of personal connections, though; clients don't want to entrust some random person they've met once with a difficult and important mathematics problem. My work with my clients is much more like an academic collaboration (without the annoying emphasis on publications, though ironically I have more time for publication now than I did when I was in academia) than it is like an engineering or software development task.
The projects are also usually quite specialized, so you can't really walk in and solve someone's problem unless you aren't already quite knowledgeable in that particular sub-field of mathematics, and have a proven record of solving problems in that area.
All is Number -Pythagoras.
They do? Okay, I'll take your word for it.
I'm no geometry expert, but the reason that they actually measure the diagonals and make them equal is to ensure that the square shape that they measure out is actually square -- or that there are 90 degree corners. Not doing so wiil result in huge problems.
By instructing them to use the pythagorean theorem, you are allowing them to implicity assume that your corners are in fact true. Perhaps you should double check your garage's corner angles.
There is no other way to profit in this closed system we call earth.It is how evolution works.Nothing more please move along.
This is normally referred to as Gödel's first incompleteness theorem. Which you incorrectly summarized as Yet, there are statements in math that we know we can neither prove nor disprove
Provablity is rather a quality possesed by a proposition within a formal system. If a proposition cannot be proved or disproved within a system we call it independent (or undecidable). An example is the continuum hypothesis, c=aleph 1. This statement can not be proved or disproved within Zermelo-Fraenkel set theory with(out) the Axiom of Choice. Also it must be noted not all axiom systems are strong enough to include undecidable statements.
What Gödel's first incompleteness theorem states is that we will never have a finite list of axioms which constitutes a consistent system that can prove or disprove every mathematical statement. It means we will have a plurality of deductive systems which cover many different domains. However there will always be some statement, known or not, out of our reach. In other words, knowledge is limitless.
I don't think this in any way takes away from the power of mathematics. But shows the limited abilities of human beings or rather the immensity of the universe.
[1] Gödel, Kurt. On Formally Undecidable Propositions of Principia Mathematica and Related Systems. Dover Publications, New York. pg 62
The best education consists in immunizing people against systematic attempts at education. - Paul Feyerabend
I see your point, even with the Wikipedia articles that went straight over my head.
No kidding!!! What do you say at this point?
She immediately suggested we leave off the higher-order terms in my Taylor's expansion and integrate anyway!
This same babe who got turned on by "insertion sorts" but that's a story for another day.
My preview key is "climax"! Amazing!
If you have unlimited capital and no betting limit, you cannot lose.
But LTCM didn't have unlimited capital and did have a betting limit (you can't make a bet larger than the rest of the world is willing to take the other side on).
LTCM was betting martingale. That they had two Nobel prize winners and 250 more years of advancement and still ended up with a system that only works as well as martingale is both in indication of the level of foolishness on Wall Street and a real indication of the difficulty (possibility?) of beating the market with a system.
Anyway, if you read the book (better yet, both), you can see that even if they had a few mathematical equations saying they were right, there's a lot more reasons they were actually wrong. The complexity of the markets is sufficient that you can make an equation showing how safe you are and still be wrong. Your equation is either built on incorrect assumptions or fails to include other factors that turn out to be important.
LTCM was wrong mainly because they were using far too much leverage and thought it was okay because they thought they had multiple independent "wagers" that thus lowered their risk, because the likelihood of two independent failures of their system was very low, and they figured they could survive 3 or more! The problem is their wagers were not really independent and so more than 3 went south at once. They fooled themselves. They were fools, not victims of circumstance.
Here's the one most importance in "When Genius Failed". LTCM's return on working capital was smaller than that of a savings account. Their real trick was being able to borrow capital at such low prices. If they had deposited their borrowed capital in savings accounts they would have made more money faster and not lost their butts either. What geniuses.
http://lkml.org/lkml/2005/8/20/95
The impact was to cause me to get a BMath degree...
"You need a license to buy a gun, but they'll sell anyone a stamp." - Red Green
I am sorry that your child life was so horrible, but there is no way that it was society's fault that you had it so bad. In your case it is very obvious that it was your parent's fault. Families like these are a drain on our society, and I do not think it is the job of the government to help them out.
First off, 6 KIDS !?!?!?! Stop having kids damn it. If you can barely feed yourselves then do not have kids. I can understand having a couple of "mistakes", but 6 kids? That is both irresponsible and reckless. Instead of trying help their children have better lives, they kept popping out more kids so that you all could have as few opportunities as possible. Maybe some of you turned out fine, but that would be nothing but luck and statistical anomolies.
And a total income of $14000? One parent working full time at $6.75 an hour makes $14k a year. I started working at the age of 15 at a fast food place making $5.75 in 1995. Any adult that cannot make more than $6.75 an hour is incompetent. I worked in fast food for about 5 years total in my life, and knew many adults still stuck in basically minimum wage jobs. Every last one of them were in such positions because they were incapable of actually being useful citizens and holding a decent job.
Any family making $14k a year total is lazy. You cannot blame society or technology because 2 people are irresponsible and lazy.
And before you start calling me some spoiled rich kid, my dad was a small farmer and we did not have much money until I was a teenager. My mother is intelligent, but my father isnt exactly a smart guy (he never got past arithmetic in high school). But my dad was a very hard worker and at least made more than enough to provide for us, even though he didnt own the land he worked on.
I am sure there were factors that would have made it very difficult for your parents to become middle class. But there was nothing keeping them that poor other than themselves.
-- All that is necessary for the triumph of evil is that good men do nothing. -- Edmund Burke
"How has mathematics, statistics and other number driven aspects of life impacted you in the last decade?""
Not at all. It has had an effect on me however.
It is physically impossible for mathematics to impact anything. Mathematics is an abstract concept, not a physical object.
Meteors and molars can impact, mathematics cannot.
Now if only you can learn to coach baseball you'd have all the makings of a great Highschool math and typing teacher!
If you don't know what AltaVista is (was), get off my lawn.
I am a recent mathematics graduate and obtained a masters from one of the best departments in England... Don't give me any of that "in demand" bull - it took me months to get a job that any idiot could do. They wouldn't even let me be a teacher (those who can do, those who can't teach!). I'm still looking for something better!
Christopher Harrison
> Some of us like systems coding more (or gasp business apps) and this stuff really doesn't do anything for us.
/* 60 or so more lines snipped */
So you're the reason that the code running our machines has a section of 60ish lines like this:
if (i==0) k=0;
if (i==1) k=4;
Rather than k=i*4;
And no, I'm not kidding. I wish I were...
My 4 year-old son can add, subtract, and multiply. He even understands how to add, subtract, and multiple negative numbers. He is always pestering me to teach him more. We bought a book for 1st graders on math and reading. He cracks it open and points to a page and demands that I teach it to him so he can do the work.
I think there is a chemical released in the brain upon learning a new principle that is addictive. The "smart" kids have discovered this and are addicted to it. They have an insatiable thirst for knowledge. I find myself up to 1 o'clock in the morning reading a book on parsers not because I need to learn it but because I want that high from learning.
School should be about bringing this chemical out, and getting kids addicted to it. It should be about opening horizons and teaching skills necessary for learning more. Unfortunately, one of the industries in our country that has mastered this is the video gaming industry. I play video games to learn new skills, like how to play a particular game. These skills are largely irrelevant in real life, however. That is, unless I want to be a race-car driver or a fighter pilot.
In my experience, the reason kids hate school is not because learning is no fun, but because no learning takes place at school. As I work with the school board and district in our local town to encourage them to challenge the students, I see a tremendous amount of inertia in the teachers. They know they are not doing a good job, but any criticism is unwarranted, and anything that might make their jobs better and more enjoyable and more productive is anti-teacher. New teachers have some energy, some spark of wanting to do something right, but the culture in our schools quickly extinguish that.
The radical sect of Islam would either see you dead or "reverted" to Islam.
As a mechie, I'm required to take:
* Calc I-III
* Linear algebra
* ODE
* Vector calc
* PDE
* Numerical methods
* "Signals," which is really just a class on transform methods in disguise
I've also done a finite element class that involved no software, definitely some higher math there. Out of the above, I would say that linear algebra is the most critical to master. A survey of recent grads supports that, as apparently linear algebra and ODE are the most important branches of math to the mechanical engineer practicing in industry.
Two years out of pure calculus, I was unpleasantly surprised yesterday by a signals review involving ugly integrations -- the focus in ME is much more on differential calculus than integral calculus, and the more I thought about that, the more I realized how true it is. Any potentially nasty integrals are almost always trivialized by geometry, i.e. this is a sphere, this is a cube, this is a pipe. Sure, I can understand why this is done -- they want you to do 10 problems per week instead of four. And it didn't take me long to review for signals, either. But I wasn't nearly as off-the-cuff as I was expecting.
I often feel kind of cheated, because when I see the way stuff is presented at the graduate level, even though it's much more complex on the surface, at the end it almost always makes more sense than the sanitized crap that makes its way into undergraduate courses. I really strongly feel that I need to go to graduate school in order to be useful. I was looking at exam prep books for the Engineer In Training exam, and while the breadth is somewhat intimidating, the depth is almost pathetic. I guess that's kind of the point, though.
Unfortunately, even armed with all of this theory, my friends with internships tell me that most of the "engineering" work they do is back of the envelope type stuff that then gets fed into NASTRAN or something. Which kind of makes me not want to go be a design engineer...
The subcontractor in question already had his bid accepted, so the money he saved by firing one of his helpers went directly to his bottom line, not to the person who taught him how to do it. In the long run, the cost reductions might lead to winning more bids by being able to bid lower, but this time (and probably for the next several times), the subcontractor just made more money. The phenomenon you cited only occurs in a "frictionless" marketplace, which does not actually exist anywhere.
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This was a very interesting article. It explains the trends that I am seeing. In April of last year, I started a math-focused blog: http://fermatslasttheorem.blogspot.com/ To be honest, I thought that no one would be interested. Instead, I am seeing the number of unique visitor rise by 10-20% each month. I think that the bar is rising on the amount of mathematics that each of us are expected to know. It will be very interesting to see what happens with Google Analytics, Omniture, and other web-based analytical engines. Cheers, -Larry
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I must admit that I detest and I am amused by these sorts of stupid first posts. Why people take the time and put forth the effort eludes me. But as I said it is somewhat amusing.
I would disagree
With a bachelor or MS in math, you can go into actuarial sciences or software development. If you are looking at software development, you should consider getting a certification in whatever arena you are interested in. This will indicate to employers that you are serious and have some relevant background.
With an MS, there is such a glut of PhD's, it is very difficult to get a job teaching at any College or University. Again, I know this from personal experience and the many fellow Math graduate students (both MS and PhD) that I know.
Your best bet with an MS is essentially the same as a bachelors.Though you could pursue an applied graduate degree, e.g. MS in CS, an MBA, ect. Then you have demonstrated technical expertise along with more practical knowledge.
With a PhD... You can pursue high caliber jobs, but the supply/demand curve is so skewed get ready for teaching at a 2 year college. Then there are the previous options for listed for an MS.
Quoth the parent:
Uh, that's about 2%, not 20%. Perhaps with better budgeting skills, you too could get by on a smaller budget.
More people would be interested in Math if math teachers would teach more vector calculus instead of pussing out and making us study all this financial crap. I want to use math for Science not for Money!
The Rapture is NOT an exit strategy.
Man/Woman is not only a tool builder; He/She is also a model builder. We build models to understand, predict, plan ... be these models in hour heads or via our machines: be they a small implementation of some physical effect, drawings on a cave wall, paper and pencil, an equation, or a simulation on a computer.
Recently I have been quite interested in "models" (I am not referring to the covergirl/coverboy kind). From one perspective, mathematics allows one to model "reality". There is always the concern of "truthfulness" or how well models afford us to "reason" about the real world. Here I am using the term "reason" to mean understanding and predicting in the "real world", both seen and unseen, by the human senses.
In the engineering sense, a model that allows a problem to be solved is usually good enough, whether or not it actually represents the real world.
Please more intelligent discussion!
smm
--
"Do not try to bend the spoon--that's impossible. Instead, only try to realize the TRUTH." --The Matrix (Warner Brothers/Village Roadshow Pictures, 1999)
Problem with statistics is that people are taugh diffrently how to interprenet them. Person who studies statistics may have diffrent kind of perspective than one who is mainly taugh how to apply them in business. Business schools cut corners in here lot.
But even that is not the whole story. There is huge diffrence how they are used. Lot of companies and organizations do lot of statistic and surveys that use them for pretty obscure reasons. I don't live in US, but a teacher in university told my friend in a course of statistics, that he stopped doing statistics for corporations as a consult because they mostly ended to trash bin. Some companies apparently just grew their R&D budget by doing research they really didn't have need, while others simply didn't want to even look them for some other reason. So he rather taugh in school than ended doing statistics for no apparent reason.
I'm also inclined to think that lot of CEO's and other decision makers have need to show some statistics of anything, just it looks they're top of something. Even if they aren't.
So there isn't necessary isn't awful lot of utilization of new statistic tools to something sensible. Lot of it can driven by sheer belief to statistic and need to look good. There is a demand sure, but is there a corresponding gain too?
Anyone got statistic for this?
Nobody knows the trouble I've seen, nobody knows has the trouble seen me, even I sometimes wonder why I write these line
And it was called "Operation Research" - Short for "Military Operations Research" (yes, WWII era military). Folks studied, more than 20 years back: Linear programming, dynamic programming, queueing theory, simulation, inventory theory, game theory, miriad other optimization strategies/algorithms/heuristics. BW article is 50 years late! Without all that "math" how does IBM machine beat chess grandmaster, map human genome and discover drugs or heck, just how do you think a (CDMA - Code Division Multiple Access) cell phone works? using Fourier transforms, Viterbi (maximum likelihood estimator) coding, pseudo random numbers etc.,
...and do you have a brother in the FBI? Freelance crime solving--with math!
He could have laid off both if you had told him that he doesn't need people holding both ends to get the triangle right -- the lengths of the sides determine the angles. The most efficient procedure would thus be: attach cord to a stake; measure desired length in one direction; attach measured length cord to another stake; measure two more cords to the two other lengths of the triangle; attach each one to a stake, it doesn't matter which; hold them tight, find the spot where they meet; voila, you've constructed a right-angled triangle with the desired sides. The fourth corner can be determined the same way again. Nowhere do you need a second person helping you.
I will agree that mathematical models that we produce will be flawed and will have problems, but (with some exceptions) we can generally get "close enough" (such as in statistical applications, where a 95% confidence interval is enough, as you mentioned). However, I do not believe that math in general is flawed -- although our understanding may be.
Math, like physics or chemistry, is imuteable. We do not change it by understanding of it. What we consider math is just our understanding of what actually happens.
"But it's also useless to us except as it helps us understand the world around us, or model something we've obvserved, etc. There are still things it is wholely unconcerned with (but can be applied to in various situations)."
That is where I think you have something to learn. While math may seem, at first, to be unconnected except for use in models, it is not. Goedel's incompleteness theorem seems like it is not useful to someone with your point of view. However, Dr. Jurgensen has the CS POV where we see that not only do we have axiomatic systems about number theory, we see that when we organize problems into classes of ones we can solve in finite steps, we run across similar odd issues.
He has lecture slides up somewhere. His major findings are also published. I can't find the specific reference at the moment, but there is a string of publications up until 2005 that are mentioned in his most recent work.
From my own notes on his lecture slides:
"What does this mean?
* Independence is a wide-spread phenomenon.
* Independence seems to be a consequence of a deficit of information (we cannot gain information by deduction).
* The measure of information must be relativized ( instead of H).
* Proving (computing) cannot generate information, but can only make hidden information explicit. GIGO -- you only work with what is given.
* True and independent statements are no artifacts; independence is essentially independent of the particular formalization of the theory.
The question of whether there are many "interesting" true and independent statements remains unanswered.
Conjecture: It could be possible to prove that statements are correct merely in terms of their size and length related to the work."
So, as you see, an artifact of math affects information theory (indeed, they are almost the same once you get into the details). This affects the kinds of systems of logic we can build in computer science, and also what kinds of brain activity can exist if the human mind is at all like a Turing machine in terms of its ultimate implementation. I think that's important.
Math can seem to be unconnected, but the relationships are there.
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Internet Explorer (n): Another bug -- that is, a feature that can't be turned off -- in Windows.
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In that they didn't understand they couldn't always make the investements they wanted.
But you're wrong. Yes, they had serious problems with liquidity after things went bad. The market even conspired against them after they got in bad shape (that's even worse than no liquidity).
But the start of the problem was they made multiple wagers at the same time, assuming they couldn't all go south at once. They could survive one or even more going against them, but instead it turns out their bets were correlated and a large percentage did actually go south at once.
Since they were so highly leveraged that caused a serious problem with cash flow. They increased their leverage instead of unwinding their positions. Once they did decide to unwind their positions, they ran into liquidity problems (and worse).
So, their liquidity problems may have exacerbate their losses, but their foolishness was already shown by their monetary losses; they were already ruined.
I'm sure some people would reach a different conclusion, especially those who make their livings on Wall Street or hope to some day. But frankly, I think they're just deluding themselves too.
http://lkml.org/lkml/2005/8/20/95
>>But even in a society full of PhDs, some people have to do the menial jobs. Education explosion only leads to grade inflation, IMHO.
Imagine if all the people working at Wal-Mart had PhD's in computer science and electrical engineering. Do you think that "education explosion" would only lead to "grade inflation?"
We would probably see lots of sweet robots.
Where are all these jobs the article is talking about? I am about to leave the Army, and I have a degree in mathematics. While I have just started my job search(I still have more than 4 months before I'm available), I have not exactly had offers rolling in.
If I were a good King, I would first care about the current and future well being of my people and kingdom. Therefore, my metrics for decision making would begin with, "will this expand and improve the quality of my middle class?" This appears to be at the bottom of your logic as we are experiencing the largest shift of wealth from the middle class to the a very small, super wealthy class and the rest are heading south.