Euler's Partition Function Theory Finished
universegeek writes "Mathematician Ken Ono, from Emory, has solved a 250-year-old problem: how to exactly and explicitly generate partition numbers. Ono and colleagues were able to finally do this by realizing that the pattern of partition numbers is fractal (PDF). This pattern allowed them to find a finite, algebraic formula, which is like striking oil in mathematics."
any relation to Yoko?
I was going crazy trying to figure a layout for the office.
Maybe fdisk wasn't the right approach to solve this problem.
Fractals are the mathematical thingie that turn me on the most in all of mathematics. The paisley pattern is natures tribute to the fractal, when executed correctly. Fractals make me hot, they really turn me on. Striking oil, even hotter.
Home of The Suki Series
So what does this mean and what does this give us in practical applications?
Well, Ono can't win the Fields medal for it -- he's too old. (Born in 1968; you can't win the Fields medal after 40.)
paisley pattern?
http://en.wikipedia.org/wiki/Paisley_(design)
nature's tribute?
Not sure what you're thinking of... Parsley doesn't seem particularly fractal-esque either.
Now, the Romanesco broccoli... aye, there's some proper fractal food.
From the article:
"a partition is a way of representing a natural number n as the sum of natural numbers (ie. for n = 3, we have three partitions, 3, 2 + 1, and 1 + 1 + 1, independent of order). Thus, the partition function, p(n), represents the number of possible partitions of n. So, p(3) = 3, p(4) = 5 (for n = 4, we have: 4, 3 + 1, 2 + 2, 2 + 1 + 1, 1 + 1 + 1 + 1) , etc.."
Very interesting read.
paisley pattern?
Not sure what you're thinking of...
Not my fault that you are doing it wrong. ;)
Home of The Suki Series
Wow! Now I have something to talk about over brewskis between periods while we watch the Sabres/Islanders game tonight!
Good thing, 'cause the economic impact of Hu Jintao's visit had pretty been hashed out already.
Three Squirrels
This pattern allowed them to find a finite, algebraic formula...
Yeah, but looking at the paper, still not that simple. Eventually someone will be able to program it into a function and I'll be able to call it in Matlab, but until then, I'd still be worried about making calculation errors. On the other hand, that may be saying more about my calculation skills than about the work...
That is all.
That being the blog author, Sarah Kavassalis, is insanely hot. I can't even tell what this theory means anyway.
I swear to God...I swear to God! That is NOT how you treat your human!
I was going crazy trying to figure a layout for the office.
I thought it was Fractal Euler's day off? Just relax.
Home of The Suki Series
Sooooo. Not being an uber math geek.... what the hell is this good for?
--- If the bible proves the existence of God, then Superman comics prove the existence of Superman.
Couldn't happen to a harder-working guy BTW, or a nicer one. I'll never forget him desperately writing the final draft of his wedding vows on the day of the ceremony.
Can't say I've ever heard of the Euler partitioning scheme. However, I did discover the formula for MBR partition numbers when I was six years old. I'm still cranking on the GPT formula and putting my PowerBook to work on the Apple Partition Map formula.
Pics or it didn't happen!
Surely you meant, "striking Eul".
HTH.
2*3*3*3*3*11*251
Thang you, thang you, I'll be here all week...
We say Ono, but he played a big part in it. Was one of the people in the group a janitor who felt he was smarter than everybody else and then walked in and solved the equation? I am pretty sure that is exactly how it went down. And the janitor's friend is Ben Affleck. I have no clue why Ben Affleck is friends with a janitor, but he is
The world is how you make it
how to exactly and explicitly generate partition numbers.
I don't care, grub still sucks.
http://en.wikipedia.org/wiki/Patrician
Mit der Dummheit kämpfen Götter selbst vergebens
Here is a link that explains the whole discovery process much better:
http://esciencecommons.blogspot.com/2011/01/new-theories-reveal-nature-of-numbers.html
Ken Ono is clearly a dick.
Does the solution fit in the margin? (I know different problem but it's ok :)
Never antropomorphize computers, they do not like that
the Romanesco broccoli... aye, there's some proper fractal food.
But eating it takes forever.
He's too old? Is it time to start writing his eulergy?
Huh, I don't get it. The hell is an oil-er-gy?
I'm also not clear on why Ken Ono would be described as hitting good ol' Eul just for completing a theory of his:
...which is like striking oil in mathematics."
Hey mate, spare a sig?
Why must they repeatedly conflate partitions, partition counts, and sequences of partition counts? I can't tell what they're actually saying. First the article reads, "To be slightly more technical, from Ken Ono and Kathrin Bringman, 'A partition of a non-negative integer n is a non-increasing sequence of positive integers whose sum is n.' The concept is straight forward, but how to obtain these partition numbers, in general, is actually no trivial matter."
Then later, "...a finite, algebraic formula for partition numbers thanks to the discovering that partitions are fractal." Well do they mean partitions are fractal, or partition counts are fractal?
Another article at eScienceCommons (another post here links to it) quotes Ono: “We prove that partition numbers are ‘fractal’ for every prime." How can a number be fractal? Or does he mean the sequence over primes is fractal? WTF?
Ken Ono says in the press release, "I can take any number, plug it into P, and instantly calculate the partitions of that number." Does he mean the partitions themselves or the partition count?
You'd think detail-oriented professionals would be more precise in their wording.
Never ascribe to malice... and all that.
Partician-plebiean vs patrician-plebeian is a bit of a too subtle a joke for Slashdot.
Now, had you said something like "In Soviet Russia all particians are communist particians" or "I for one welcome our new partician overlords..."
Mit der Dummheit kämpfen Götter selbst vergebens
Nope, haven't had a reason to learn it; no deaf people in the family.
can someone confirm this has ipv6 applications?