It's amazing. Just when I think Slashdot can't possibly find a subject I'm less interested in than Orbitz's decisions about what to promote to Mac users... it does.
Goldbach's original conjecture (sometimes called the "ternary" Goldbach conjecture), written in a June 7, 1742 letter to Euler, states "at least it seems that every number that is greater than 2 is the sum of three primes" (Goldbach 1742; Dickson 2005, p. 421). Note that here Goldbach considered the number 1 to be a prime, a convention that is no longer followed. As re-expressed by Euler, an equivalent form of this conjecture (called the "strong" or "binary" Goldbach conjecture) asserts that all positive even integers >=4 can be expressed as the sum of two primes.
I have a fantastic tax preparation system: Mark Frenchell. And the best part is it was built using a very small company of only two people: Howard and Josephine Frenchell.
Indeed, this is the same guy. It is part of the tragicomedy of race relations that such a talented math popularizer could be so markedly racist. I too loved Prime Obsession. I reread it every couple of months. Someday I may understand the last chapter...
Third, all of this is only somewhat relevant to actual chess playing, and only at the very highest levels of play; the average FIDE Master (i.e. a well above average tournament player, though nowhere near being among the 1,000 best players in the world) need not remove the King's Gambit from his repertoire because it has been "solved". This has, historically, been one of the most dynamic openings in chess, with tons of opportunities for tactical tomfoolery and psychological pressure. When we talk about "perfect play", or "near perfect play", we're already reaching beyond the level of world champions.
If chess is so hard that WORLD CHAMPIONS frequently and regularly make dumb moves -- yes, that's what not playing perfectly is defined as -- then why should it attract any interest as a discipline at all? It's like wheelchair ballet.
As a GAME -- an opportunity for excitement, aggression, a way to humiliate your opponent -- sure, it makes sense to play chess. But so does poker. As a mathematical discipline -- we're outclassed as a species. We have no business studying chess anymore.
The Novikov consistency principle asserts that if an event exists that would give rise to a paradox, or to any "change" to the past whatsoever, then the probability of that event is zero.
Interesting; thanks for the food for thought. I have always held a bright line division between counterfeiting and digital "piracy" in my mind, and thus did not really understand why they were frequently linked in legislation. Now I understand a bit better.
There absolutely is a way to enforce it for a physical good. However, a DVD is not a physical good. Its value is not the few ounces of plastic, but the bytes stored on them. And since bytes stored and readable can be re-stored, etc., etc. and now it's your argument, and I agree with you.
My point was just that your initial statement is false. Your conclusion is true nonetheless.
I had a large collection of physical CDs stolen. Can I listen to my backups? Can I sell the backups when I'm done with the music? (or will the record companies help me get my collection back?)
More interesting than the possibility of theft, is the fact that physical CDs have a finite lifespan. But backups are immortal, as long you copy them to fresh digital storage periodically.
I think some of the Apple hatred stems from the fact that many techies absorb themselves in computers because it gives them a feeling of control that they lack in their daily lives. Mastering a system is gratifying on many levels. When a company offers a platform that doesn't allow or require that kind of micro-management and control, it's really like an attack on the person directly, especially when the product is popular among non-techies--many of the same people who alienated that person in the first place. And so there's resentment.
You absolutely loved the "I'm a Mac / I'm a PC" commercials, didn't you?
We are the ones who checked boxes in a ballot (or pushed buttons on an electronic voting machine with no audit trail). Those boxes or buttons were next to names helpfully provided by civil servants, according to what the government told them to put there.
If that's "election" then a pimple qualifies as cancer.
Enjoying yourself, I hope. Like the asshole doctor who told me I needed to lose weight, as if I didn't already know that since before he was born, your comments have exactly zero impact on my future behavior. And I'm smiling ear to ear at the pleasant thought of your violent death next week.
Anonymous cowards post too much. Stop arguing about this. If you are too cowardly to use your name and you post 5 times a day you are posting too much. It's that simple. Time to cut your throat, asshole.
would I even be visiting TIF's website anyway?
Indeed. A bicycle is never stable either (unless it's lying down).
And my brand new social network Rossy, not yet released, containing at present exactly one post which is not junk, has a S/N ratio of infinity.
So much for S/N as a metric.
"someday they will all be nuclear powers, and the art will become as formal and minor as flower arranging."
from "Black Easter", 1968
It's amazing. Just when I think Slashdot can't possibly find a subject I'm less interested in than Orbitz's decisions about what to promote to Mac users ... it does.
http://mathworld.wolfram.com/GoldbachConjecture.html
Goldbach's original conjecture (sometimes called the "ternary" Goldbach conjecture), written in a June 7, 1742 letter to Euler, states "at least it seems that every number that is greater than 2 is the sum of three primes" (Goldbach 1742; Dickson 2005, p. 421). Note that here Goldbach considered the number 1 to be a prime, a convention that is no longer followed. As re-expressed by Euler, an equivalent form of this conjecture (called the "strong" or "binary" Goldbach conjecture) asserts that all positive even integers >=4 can be expressed as the sum of two primes.
As well as the book, 99% of the posts on this topic are of the form "I have the REAL answer, it's ...."
YOU DO NOT HAVE THE REAL ANSWER. STFU ALREADY.
Advice for Slashdot readers: do not get nutritional / lifestyle advice from Slashdot. Do not get it from books hawked on Slashdot either.
hirez or gtfo
I have a fantastic tax preparation system: Mark Frenchell. And the best part is it was built using a very small company of only two people: Howard and Josephine Frenchell.
Indeed, this is the same guy. It is part of the tragicomedy of race relations that such a talented math popularizer could be so markedly racist. I too loved Prime Obsession. I reread it every couple of months. Someday I may understand the last chapter...
"Give and take over". What a wonderful description.
How do I rate this simultaneously +1 Informative and -600 Boring?
I hope my SENSITIVE FEMALE SIDE is wearing sensible LEATHER PUMPS!
Third, all of this is only somewhat relevant to actual chess playing, and only at the very highest levels of play; the average FIDE Master (i.e. a well above average tournament player, though nowhere near being among the 1,000 best players in the world) need not remove the King's Gambit from his repertoire because it has been "solved". This has, historically, been one of the most dynamic openings in chess, with tons of opportunities for tactical tomfoolery and psychological pressure. When we talk about "perfect play", or "near perfect play", we're already reaching beyond the level of world champions.
If chess is so hard that WORLD CHAMPIONS frequently and regularly make dumb moves -- yes, that's what not playing perfectly is defined as -- then why should it attract any interest as a discipline at all? It's like wheelchair ballet.
As a GAME -- an opportunity for excitement, aggression, a way to humiliate your opponent -- sure, it makes sense to play chess. But so does poker. As a mathematical discipline -- we're outclassed as a species. We have no business studying chess anymore.
There is a wealth of scientific research about G dropping. For example:
http://itre.cis.upenn.edu/~myl/languagelog/archives/000878.html
Unfortunately there is very little research into how zero gravity affects phonology. Time to lobby Congress for more funding,
It isn't suitable for ground to orbit vehicles, mostly because of environmental concerns.
The Novikov consistency principle asserts that if an event exists that would give rise to a paradox, or to any "change" to the past whatsoever, then the probability of that event is zero.
There have NEVER been lions in my fridge and there never will be.
Interesting; thanks for the food for thought. I have always held a bright line division between counterfeiting and digital "piracy" in my mind, and thus did not really understand why they were frequently linked in legislation. Now I understand a bit better.
There absolutely is a way to enforce it for a physical good. However, a DVD is not a physical good. Its value is not the few ounces of plastic, but the bytes stored on them. And since bytes stored and readable can be re-stored, etc., etc. and now it's your argument, and I agree with you.
My point was just that your initial statement is false. Your conclusion is true nonetheless.
I had a large collection of physical CDs stolen. Can I listen to my backups? Can I sell the backups when I'm done with the music? (or will the record companies help me get my collection back?)
More interesting than the possibility of theft, is the fact that physical CDs have a finite lifespan. But backups are immortal, as long you copy them to fresh digital storage periodically.
You absolutely loved the "I'm a Mac / I'm a PC" commercials, didn't you?
We are the ones who checked boxes in a ballot (or pushed buttons on an electronic voting machine with no audit trail). Those boxes or buttons were next to names helpfully provided by civil servants, according to what the government told them to put there.
If that's "election" then a pimple qualifies as cancer.
Enjoying yourself, I hope. Like the asshole doctor who told me I needed to lose weight, as if I didn't already know that since before he was born, your comments have exactly zero impact on my future behavior. And I'm smiling ear to ear at the pleasant thought of your violent death next week.
Anonymous cowards post too much. Stop arguing about this. If you are too cowardly to use your name and you post 5 times a day you are posting too much. It's that simple. Time to cut your throat, asshole.