Recent content by Gale

In some languages the word "meat" is used interchangeably with the word "beef." So it's possible that when you clarified by saying you didn't eat "meat or fish" what she understood was that you don't eat "beef or fish" which does sort of imply that for some reason you eat poultry...

Not to be overly pedantic... but first don't we have to define what you mean by "definition"? Because description and definition are similar but not the same. You can define a word from within that language itself, you can define it by associating it to a word in another language, you can...

Thank you. Yes, I'm just suffering from a lack of confidence I suppose. I feel old and out of place most of the time in the math department... But that's just in my head and I want to write a thesis anyway. I reeeally appreciate the help and I'm going to use your example to write an email to him...

Thanks soo much for the reply! Yes, I'm definitely am afraid I'd be bugging my professors. Sadly, I've only spent 1 year at the school because I transferred here and so I only even know two professors, both of whom I really liked and would love to work with, but one of which is on leave... The...

Okay, for example, I googled "algebraic geometry and number theory topics" and started looking at Diophantine equations because I like ancient Greek math and from the wiki, it seems to be the sort of think I like. However, I haven't actually had very much exposure to them in my math career so...

Hello all, I'm considering writing a senior thesis this year and I'm trying to come up with a suitable topic before presenting my ideas to one of my professors. I'm leaning towards something to do with number theory and possibly cryptography, or perhaps something more algebraic. Honestly, I...

Ah thank goodness I figured something out! Would ##A \alpha## be the more proper way of writing it out then? Since I have that, for the rest: (ii) if A= \left( \begin{array}{ccc} a & b \\ c & d \end{array} \right) Then based on my matrix from part (i), a=d and 2b=c would work? Or does...

Homework Statement Consider the field Q(\sqrt{2}), viewed as a vector space of dimension 2 over Q. Let r + s\sqrt{2} \in Q(\sqrt{2}), and define the multiplication map M_{r+s\sqrt{2}}: Q(\sqrt{2}) → Q(\sqrt{2}) by M_{r+s\sqrt{2}}(\alpha)= (r+s\sqrt{2})*\alpha In other words...

I know it's bad manners to revive an old thread, but I'm going to the MoMA today and I was checking out their website when this was the first thing I saw: At first I thought maybe Zooby had gotten famous for his artwork, but I don't think it's his. Just strikingly similar, (and apparently...

Thank you! For some reason I didn't think polynomial long division was the way to go... I'm always so unconfident when I do these sorts of proofs.

Homework Statement for n \in N, n \geq 1 Prove that (n^{3} +2n)Z + (n^{4}+3n^{2}+1)Z= Z Homework Equations I know subgroups of Z are of the form aZ for some a in Z and also that aZ+bZ= dZ, where d=gcd(a,b) The Attempt at a Solution So I was thinking if I could prove that the gcd...

Wow. That was too easy. I actually bought a book of Mozart Sonnets because I was looking for one particular one... Not that it's a bad thing to have a whole book. But I'm book marking those sites. Thanks to both of you!

I just started playing piano again. I only played for about 4 months in high school for a class, but I really liked it. I moved around so much afterward that I never had a chance to practice (pianos aren't very portable.) Now that I've settled, I bought an electronic piano, and I'm practicing...

I'm working some homework where we're introduced to inner automorphisms. I have that G is a group. Given a fixed g in G, and fg:G → G, fg(x)= gxg-1. I'm just a little confused about the notation. Are both g and x in G? I've been reading through the wiki...

Here are a few of photos from today. I live in uptown NYC which is basically up on a hill so it wasn't too terrible, and definitely less flooding than downtown. Mostly lots of trees everywhere. I saw a few buildings with some damaged roofs but the photos didn't turn out well. Hope everyone else...