Search found 13 matches

by Zach 739085133
Mon Mar 14, 2011 9:57 pm UTC
Forum: Mathematics
Topic: The Tau Manifesto
Replies: 165
Views: 43433

Re: The Tau Manifesto

Well, it turns out March 14, 2011 has been a good day for tau. There is coverage at CNN and Vi Hart has debuted an entertaining video with 2879 likes and 61 dislikes at time of writing. Can't wait for June 28.
by Zach 739085133
Wed Feb 16, 2011 6:18 pm UTC
Forum: Serious Business
Topic: 9/11 Conspiracy Theories
Replies: 195
Views: 37003

Re: 9/11 Conspiracy Theories

It took me a while, but I finally read through all of this thread, and am ready to contribute. I do not believe a missile hit the Pentagon, and I definitely do not believe the moon landings were faked. On another note, I have scrutinized the claims of explosives in the World Trader Center buildings,...
by Zach 739085133
Sat Feb 12, 2011 2:42 am UTC
Forum: Mathematics
Topic: The Tau Manifesto
Replies: 165
Views: 43433

Re: The Tau Manifesto

I'm a supporter of the τ symbol, and the nice thing is we don't have to choose between τ and π. Use whatever is most convenient. It wasn't that long ago that \sqrt{-1} was a dominant symbol. Wide use of i only came about later. Take a look at some 19th century books at Google Books. This one for exa...
by Zach 739085133
Wed Feb 02, 2011 11:13 pm UTC
Forum: Mathematics
Topic: Anyone want some partition data files?
Replies: 0
Views: 638

Anyone want some partition data files?

With all this talk about a new formula for the partition function, I was wondering if anyone would be interested in having the sets of partitions for the integers from 2 to 52? I also have the odd numbers up to 77. I just happened to have calculated them for my Dottie number work. The larger files a...
by Zach 739085133
Fri Jan 28, 2011 6:17 am UTC
Forum: Individual XKCD Comic Threads
Topic: 0853: "Consecutive Vowels"
Replies: 159
Views: 42172

Re: 0852: "Consecutive Vowels"

Hehe. If this were true, men would have rewritten the dictionary centuries ago.
by Zach 739085133
Wed Jan 26, 2011 11:47 pm UTC
Forum: Mathematics
Topic: Help proving two sequences are equal?
Replies: 7
Views: 1369

Re: Help proving two sequences are equal?

Alright. I feel I understand well enough to write up a proof now. May I give you credit for your help on my Dottie number blog ? If so, would you like to be identified as ++$_ or another name? Would you like me to include a link to your homepage? Also I'm curious: with your level of experience, how ...
by Zach 739085133
Wed Jan 26, 2011 8:57 pm UTC
Forum: Religious Wars
Topic: I hate math notation!
Replies: 57
Views: 22137

Re: I hate math notation!

Cool. Sixth post. I can post links now. Michael Hartl has proposed τ for the constant, and I'll defer to his site, tauday.com, as well as the article π is Wrong! (pdf) for explaining the advantages of this symbol.

EDIT: There is already a thread on this topic.
by Zach 739085133
Wed Jan 26, 2011 8:09 pm UTC
Forum: Mathematics
Topic: Help proving two sequences are equal?
Replies: 7
Views: 1369

Re: Help proving two sequences are equal?

++$_ wrote:Aside: Am I the only one who sees the message "Unknown control sequence \binom"?

I'm new to LaTeX, so I might have messed up somewhere. The math expression looks fine on my browser. (Chrome on Mac OS), but I'm seeing text get cut off at the end of my post.
by Zach 739085133
Wed Jan 26, 2011 7:55 pm UTC
Forum: Mathematics
Topic: Help proving two sequences are equal?
Replies: 7
Views: 1369

Re: Help proving two sequences are equal?

Thanks. I'm starting to see what you're doing and it's awesome how neatly everything is coming together. I get that \cos^{2n+1}(x) = {1 \over 2^{2n+1}}\cdot(e^{ix} + e^{-ix})^{2n+1}={1 \over 2^{2n+1}}\sum_{k=0}^{2n+1}\binom{2n+1}{k}e^{(2n+1-2k)ix} Euler's formula to the rescu...
by Zach 739085133
Wed Jan 26, 2011 4:59 pm UTC
Forum: Religious Wars
Topic: I hate math notation!
Replies: 57
Views: 22137

Re: I hate math notation!

I agree that the inconsistency between sin^{-1}(x) and sin^{2}(x) is unfortunate. Even the name "inverse sine" is regrettable because the sine wave is not invertible. We work around that by inverting a small part of the curve. For those reasons I always use \arcsin(x...
by Zach 739085133
Wed Jan 26, 2011 3:22 am UTC
Forum: Mathematics
Topic: Errors in Wikipedia math articles
Replies: 3
Views: 1418

Re: Errors in Wikipedia math articles

I've never spotted an error in a math article, but this amusing and rather unencyclopedic piece of text survived from April to August 2010 on the article for the Hebesphenomegacorona. (No, I didn't write it.) Awesomeness OK, well here it goes. People like many different shapes. Some may like squares...
by Zach 739085133
Wed Jan 26, 2011 3:01 am UTC
Forum: Mathematics
Topic: Show us your articles! Or what's your Erdos number?
Replies: 185
Views: 267159

Re: Show us your articles! Or what's your Erdos number?

My paper has been accepted to Congress on Evolutionary Computation 2010. That's cool. I was published there too, in 2004. V. Gordon and Z. Matley (2004). Evolving Sparse Direction Maps for Maze Pathfinding . IEEE Congress on Evolutionary Computation (CEC2004) , Portland, OR, pp 835-838. One path go...
by Zach 739085133
Tue Jan 25, 2011 6:32 am UTC
Forum: Mathematics
Topic: Help proving two sequences are equal?
Replies: 7
Views: 1369

Help proving two sequences are equal?

Conjecture: For integer n ≥ 0 { d^{2n}\over{dx^{2n}}}\left[cos^{2n+1}(x)\right]_{x = 0} = {{(-1)^n}\over{2^{2n+1}}}{\sum_{k=0}^{2n+1}} {\binom{2n+1}{k}}(2n + 1 - 2k)^{2n} The first few values of either sequence are 1, -3, 65, -3787, 427905, -79549811, 22036379521..., and you ...

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