## Search found 13 matches

- 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.

- 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,...

- 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...

- 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...

- 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.

- 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 ...

- 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.

EDIT: There is already a thread on this topic.

- 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.

- 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...

- 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...

- 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...

- 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...

- 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 ...