Search found 596 matches

by Pathway
Tue Oct 13, 2009 3:23 am UTC
Forum: Mathematics
Topic: An odd group theory questions
Replies: 10
Views: 1004

Re: An odd group theory questions

You've proved that phi1 composed with phi2 is indeed a function from G to G. But your set J isn't just a set of functions from G to G. It's a set of isomorphisms from G to G. So for closure, you need phi1 composed with phi2 to be an isomorphism as well.
by Pathway
Tue May 12, 2009 9:23 pm UTC
Forum: Mathematics
Topic: The Economist article about math jobs
Replies: 0
Views: 447

The Economist article about math jobs

Does anyone remember an article by the Economist in the last couple years, probably the fall of 2008, talking about how employers wanted people with math degrees? One reason they gave was because the degree strongly suggests you can be trained to do whatever they need, if I recall correctly... I've ...
by Pathway
Mon Mar 09, 2009 5:00 am UTC
Forum: Mathematics
Topic: What Linear Algebra Theorem Is This?
Replies: 2
Views: 649

Re: What Linear Algebra Theorem Is This?

Thank you so much!
by Pathway
Mon Mar 09, 2009 4:49 am UTC
Forum: Mathematics
Topic: Gauss v Euler
Replies: 48
Views: 10692

Re: Gauss v Euler

These two sum up my view on the subject: I always preferred Euler because he's got this player look about him, all blind and shit but entertaining grandchildren whilst working on some math. "Yeah, whatever, don't care, at least now I have less distractions." Gauss is more of a reserved ty...
by Pathway
Mon Mar 09, 2009 4:19 am UTC
Forum: Mathematics
Topic: What Linear Algebra Theorem Is This?
Replies: 2
Views: 649

What Linear Algebra Theorem Is This?

I was recently told about a theorem in linear algebra, involving the eigenvalues of a matrix over the complex numbers. Apparently given a matrix, one can find open sets in the complex plane (or real line, given a symmetric matrix) such that if there's a set of exactly k of them that intersect (reall...
by Pathway
Mon Mar 02, 2009 9:56 pm UTC
Forum: Mathematics
Topic: Gauss v Euler
Replies: 48
Views: 10692

Princeps Mathematicorum

You know, I can definitely see picking Euler over Gauss. You just have to have never heard of Gauss.
by Pathway
Sat Feb 14, 2009 8:54 am UTC
Forum: The Help Desk
Topic: Converting Adobe Pagemaker 6.5 Documents
Replies: 2
Views: 267

Converting Adobe Pagemaker 6.5 Documents

Does anyone know how to convert .p65 (Adobe Pagemaker 6.5) documents into a format editable by a modern program? I also have the .pdf created by my .p65 source file, but it's hard to find tools to edit pdfs for free without leaving watermarks.
by Pathway
Sun Nov 30, 2008 4:37 am UTC
Forum: Mathematics
Topic: a^b = b^a for integers a,b > 0
Replies: 2
Views: 970

a^b = b^a for integers a,b > 0

So I think I have a correct answer to the question of which distinct positive integers (a,b) satisfy a b = b a . Did I miss anything here? First, neither a nor b can be 1: assuming wlog b =1 since (a,b) is a solution iff (b,a) is a solution, a 1 =1 b gives a = 1. Therefore if one of ...
by Pathway
Sat Oct 11, 2008 5:05 pm UTC
Forum: Mathematics
Topic: Need help proving a trigometric identity
Replies: 11
Views: 1737

Re: Need help proving a trigometric identity

Perhaps my advice is superfluous, but depending on your level it might be ok to 1) Write everything in terms of sines and cosines 2) Use e^x=cos(x)+i*sin(x) to write everything in terms of exponentials 3) Replace cos(x) by a and sin(x) by b 4) Simplify a fraction! Make sure you remember that i^2=-1 ...
by Pathway
Thu Oct 09, 2008 5:47 am UTC
Forum: Mathematics
Topic: Oh me yarm I GET IT!
Replies: 19
Views: 1966

Re: Oh me yarm I GET IT!

Speaking of which, I got the same sort of feeling when I got why the dx is at the end of the integral. Enlighten me! I still don't quite get what dx or dy mean on their own. dy/dx isn't really a quotient of infinitesimals, the Chain Rule doesn't work because of du cancelling, and S[thing]dx is eith...
by Pathway
Thu Sep 25, 2008 7:50 am UTC
Forum: Books
Topic: David Foster Wallace
Replies: 18
Views: 2526

Re: David Foster Wallace

In Oblivion, I'd skip Mister Squishy at first and move on to the others, then come back to it.
by Pathway
Mon Sep 22, 2008 5:29 am UTC
Forum: Books
Topic: David Foster Wallace
Replies: 18
Views: 2526

Re: David Foster Wallace

Starting is not the trick. The trick, having started, is to stop.

Oh, I guess that could be taken to refer to a few different things.

Good.
by Pathway
Tue Sep 16, 2008 3:45 am UTC
Forum: Books
Topic: David Foster Wallace
Replies: 18
Views: 2526

Re: David Foster Wallace

This is not okay. Vonnegut's death didn't hit me nearly as hard as this.Wallace saw so much, so deeply--he was a Goddamn bloody genius and I'd say he made my life very much better than it was, because his writing was just--well, transcendent. Infinite Jest was and still is the best work of fiction I...
by Pathway
Mon Aug 18, 2008 12:54 am UTC
Forum: Mathematics
Topic: How do these punks do it?
Replies: 62
Views: 5933

Re: How do these punks do it?

I find it's better to act as if talent does exist--as if there are people who will surpass me if I work exactly as hard as they do. That makes me work harder than they do, because I hate to lose.
by Pathway
Sat Aug 16, 2008 7:14 am UTC
Forum: Mathematics
Topic: How do these punks do it?
Replies: 62
Views: 5933

Re: How do these punks do it?

Skeptical if there is such a thing as "talent" we should be able to measure it. Can you measure my "talent" in math? Suppose I do better than you thought I could using sheer will power, then what? you "measure" was wrong? That's naive. Does there exist such a thing as ...
by Pathway
Fri Aug 15, 2008 10:16 pm UTC
Forum: Mathematics
Topic: How do these punks do it?
Replies: 62
Views: 5933

Re: How do these punks do it?

@3.14...: I refute your argument thus . Hmm... not quite as dramatic as kicking a stone , but I like it. I would compare learning mathematics to drinking water. Everyone can do it. But there are people who, in all their lives, would never be able to handle drinking from a firehose. They can't hold ...
by Pathway
Fri Aug 15, 2008 2:22 pm UTC
Forum: Mathematics
Topic: I'm looking for a quote
Replies: 13
Views: 1591

Re: I'm looking for a quote

There's "No discovery of mine has made, or is likely to make, for good or ill, the least difference to the amenity of the world." (Wikiquote) Also: "Thank God that number theory is unsullied by applications," and "Here's to pure mathematics! May it never have any use." ...
by Pathway
Wed Aug 13, 2008 7:35 am UTC
Forum: Mathematics
Topic: Notation Question
Replies: 9
Views: 1307

Re: Notation Question

Thanks, but the answer I was looking for was "yes."
by Pathway
Tue Aug 12, 2008 4:12 am UTC
Forum: Mathematics
Topic: Notation Question
Replies: 9
Views: 1307

Re: Notation Question

Okay, cool. Then I'm not missing anything deep here, it's just another way to express concepts I already know. Thank you, everyone.

p.s. does anyone know of books using this notation?
by Pathway
Mon Aug 11, 2008 8:55 am UTC
Forum: Mathematics
Topic: Notation Question
Replies: 9
Views: 1307

Notation Question

In this Wikipedia article http://en.wikipedia.org/wiki/Cauchy%27s ... l_equation, the notation f(.) is used. Would someone be kind enough to tell me why?
by Pathway
Mon Aug 11, 2008 7:40 am UTC
Forum: Mathematics
Topic: Favorite math jokes
Replies: 1452
Views: 422334

Re: Favorite math jokes

A man went to the post office to post a fishing rod which was five feet long and all in one piece. He was upset to find that the maximum parcel length the post office would accept was four feet. He solved the problem by placing the fishing rod diagonally in a rectangular box of length four feet and...
by Pathway
Mon Aug 11, 2008 7:21 am UTC
Forum: Mathematics
Topic: Something I've been wondering since 7th grade
Replies: 22
Views: 2876

Re: Something I've been wondering since 7th grade

There's a case to be made that multiplication is not repeated addition. (http://www.maa.org/devlin/devlin_06_08.html). I'm honestly not sure what to make of it yet, but the point he makes is that just because you come up with the same result multiplying and adding doesn't mean that you did the same ...
by Pathway
Mon Aug 11, 2008 7:10 am UTC
Forum: Mathematics
Topic: Find the 6th number
Replies: 60
Views: 7203

Re: Find the 6th number

3263442?

If so, 10650056950806, 113423713055421844361000442, 12864938683278671740537145998360961546653259485195806.
by Pathway
Tue Aug 05, 2008 5:44 pm UTC
Forum: Movies and TV Shows
Topic: Firefly & Serenity (Use Spoilers!)
Replies: 918
Views: 168119

Re: Firefly

Sir_Elderberry wrote:
Pathway wrote:
Spoiler:

Spoiler:
That was "psychic death machine" as in "a death machine who is also psychic" not "a machine of psychic death."


Spoiler:
Oh, I know. Just... saying, is all.
by Pathway
Mon Aug 04, 2008 8:02 pm UTC
Forum: Movies and TV Shows
Topic: Firefly & Serenity (Use Spoilers!)
Replies: 918
Views: 168119

Re: Firefly

Spoiler:
by Pathway
Fri Jul 25, 2008 7:56 am UTC
Forum: Mathematics
Topic: Smoke Detector Intervals
Replies: 5
Views: 1202

Re: Smoke Detector Intervals

The last 4 data points there sum to 507. You have:

508 508
508 508
101
407 508
170
371 541
746 746
102
67
34
305 507

Gather more data!
by Pathway
Sun Jul 13, 2008 6:51 pm UTC
Forum: Mathematics
Topic: Mathematicians on wikipedia display liberal bias
Replies: 35
Views: 4466

Re: Mathematicians on wikipedia display liberal bias

Oh, come on. It is a wiki. You know what to do.

Btw, if you want to know more, http://rationalwiki.com/wiki/Conservape ... athematics
by Pathway
Sun Jul 06, 2008 9:40 pm UTC
Forum: Mathematics
Topic: 4n + 3 primes
Replies: 12
Views: 2399

Re: 4n + 3 primes

Cauchy wrote:Sums of two squares are precisely those numbers of the form n2p1p2...pk, where n is an integer and each pi is either 2 or a prime one more than a multiple of 4.


Why is that?
by Pathway
Sun Jul 06, 2008 3:37 pm UTC
Forum: Mathematics
Topic: 4n + 3 primes
Replies: 12
Views: 2399

Re: 4n + 3 primes

A square is equal to either 0 or 1, mod 4. If n is even, n = 2s for some integer s. Then n 2 = 4s 2 . That means n 2 = 0 mod 4. If n is odd, n = 2s + 1 for some integer s. Then n 2 = 4s 2 + 4s + 1 = 1 mod 4. Since n is either even or odd, this takes care of all possible n. Now, 4n+3 = 3 mod 4. There...
by Pathway
Fri Jul 04, 2008 11:41 pm UTC
Forum: Mathematics
Topic: Amusing answers to tests
Replies: 393
Views: 48019

Re: Amusing answers to tests

What, so your professor cares about your work? Harsh. I had a congruence to solve on an abstract algebra test once, and it was unique mod 200... You can guess what I did. The only writing on that problem was my answer. Full credit. :) (The same test, there was a problem intended to be solved with Ga...
by Pathway
Fri Jun 20, 2008 3:07 am UTC
Forum: Mathematics
Topic: Cosine for x?
Replies: 17
Views: 2077

Re: Cosine for x?

That is a Taylor expansion. Wikipedia shall serve you well. Use one of the forms for the error term to estimate your error--I recommend the integral term.
by Pathway
Wed Jun 11, 2008 7:44 pm UTC
Forum: Mathematics
Topic: Analysis Textbooks: Rudin vs. Buck
Replies: 11
Views: 1877

Re: Analysis Textbooks: Rudin vs. Buck

Skill of the professor isn't really a big factor. They're both supposed to be pretty bad.
by Pathway
Wed Jun 11, 2008 4:26 am UTC
Forum: Mathematics
Topic: Analysis Textbooks: Rudin vs. Buck
Replies: 11
Views: 1877

Analysis Textbooks: Rudin vs. Buck

Greetings, xkcd! I come to you with a question about analysis textbooks. I am taking an analysis course next semester. There are several different sections, each under a different professor. I've already selected classes for next year, and I chose the professor with the best time slot. I just found ...
by Pathway
Tue Jun 10, 2008 5:30 am UTC
Forum: Mathematics
Topic: Your Axiom of Choice is SILLY
Replies: 60
Views: 6746

Re: Your Axiom of Choice is SILLY

I find that it's easier to reason that any set can be counted, even if it's impractical to do so (or I just don't have the time), but that's where my personal strangeness comes in. This is perfectly normal. If you do much more mathematics, you'll almost certainly get over it. Rather, you'll underst...
by Pathway
Wed Jun 04, 2008 8:50 am UTC
Forum: News & Articles
Topic: Photographs of un-contacted tribe make the news...
Replies: 142
Views: 8616

Re: Photographs of un-contacted tribe make the news...

I'm all about technology, I just don't believe that people necessarily need it to improve their way of life. It improves mine, sure, but I'm an American. I can't really determine what will improve another culture's way of life , and I'm not about to advocate foisting knowledge of the world on a cul...
by Pathway
Wed Jun 04, 2008 6:30 am UTC
Forum: News & Articles
Topic: Bill O'Reilly Rips Into Anti-Gay Lawyer
Replies: 65
Views: 4431

Re: Bill O'Reilly Rips Into Anti-Gay Lawyer

So there is no bias in Colbert's program? No. Which is to say, there is such a bias. Note that this is not the same as saying Colbert is as biased as O'Reilly. Neither is it the same as saying Colbert strays as far from truth as does O'Reilly. No one watches O'Reilly because he is entertaining? No....
by Pathway
Wed May 28, 2008 4:10 am UTC
Forum: Individual XKCD Comic Threads
Topic: 0429: "Fantasy"
Replies: 81
Views: 14883

Re: Fantasy

AAAA! TRANSPOSITION! FIX FIX FIX FOR COVERUP

"we way" --> "way we"

I loves me this comic, though.
by Pathway
Mon May 26, 2008 3:53 pm UTC
Forum: Mathematics
Topic: Algebraically Closed Fields
Replies: 2
Views: 798

Algebraically Closed Fields

A post in another thread led to the Wikipedia article on algebraically closed fields , which got me thinking. I now have a question. The article states that no finite field is algebraically closed. It also mentions that for infinite fields, R in particular is not algebraically closed. It also provid...
by Pathway
Mon May 26, 2008 3:19 pm UTC
Forum: News & Articles
Topic: XKCD In the New York Times
Replies: 21
Views: 3784

Re: XKCD In the New York Times

It's kind of cute: they're pretending to understand!
by Pathway
Mon May 19, 2008 8:10 am UTC
Forum: News & Articles
Topic: Pres. Bush: Obama like appeasers of Hitler
Replies: 40
Views: 3687

Re: Pres. Bush: Obama like appeasers of Hitler

The best, BEST part of this whole debacle was watching Chris Matthews, renowned tv "news" douchebag, actually call out a republican commentator for being an idiot. From memory (no youtube at work) it went something like: Chris: "Do you actually know what Neville Chamberlain did? The ...

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