Recent content by Chris11

Yep! That was my solution.

Let H be a house with only one entrence. Assume that between any two rooms in the house there can only be at most one door. The owner's of this house, keen on selling to an American buyer, decide to place a TV set in every room with an odd number of doors. Prove that the the American will be...

Hey. I was wondering if anyone would have any good recomendations for large algebra textbooks that cover an enormous amount of material. I would use this book to learn new things, and also as a go to book when I need a quick refrence. So far, I know of only 2: Hungerford, Dummit and Foote.

Hey. So I have decided that I want to try to produce a math blog. The blog would essencially just consist of interesting problems and proofs, as well as expository notes on stuff that I'm reading (the symmetric group and it's reprepresentation theory). However, I have found no useful information...

Yeah. I just don't know if I would be able to do six courses in a semester without wanting to kill myself. I would love to take quantum mechanics, so that I could learn a little about how representation theory is applied, and general relativity because of diferential geometry. But, yeah. I don't...

My major is math. My minor would be in physics.

Hey Guys. I was wondering if having a minor would be important for applying to graduate school in pure math. I realized about 2 months ago that if I want to keep a minor in my degree either: 1. I have to take six courses in the winter semester (2 upper math, 2upper physics, 1 2nd year stats...

Uses Bezout's idenity. We have that we can write a^{n-1}=kn+1 Now, we have that 1=-kn+a^{n-1}. As this is the least possible positive number, it follows that it's the least positive positive number writable as a linear combo of n and a (n>1 otherwise, it's trivial). Hence, gcd(n,a)=1.

Well. Perhaps I didn't have enough information to draw my conclusions. But, I'm currently an undergraduate, and it seems like you can get to high level research in graph theory in a shorter space of time than you can in algebra. This is based on the fact that we actually went through a large...

I'm curious. Do you think that it is better to go into a subject like graph theory than it is to go into algebra, in the sense of research prospects. Graph theory, at the moment, is much much more active of an area than algebra. It seems also that going into a subject that requires you to more...

Honestly, the math that you do in physics is tedious; go into pure math.

Hey, you should check out the following book https://www.amazon.com/dp/0387940995/?tag=pfamazon01-20 I took it out of the library while I was taking my first linear algebra class so that I could learn some more theoreitical stuff. It's really good. If you read the reviews, one person states...

He doesn't put on putnam problems does he?

The bean stock analogy was horrible. IQ is supposed to be a stable measure. It is supposed to measure something truly innate in the individual--something that has virtually no oppurtunity to change.

That was not a tautology Look. I'm not attempting to discredit the entire field of psychometric. Pschometrics exists because it can provide us with useful measurements in certain situations. When I meant to specific to provide any scientific measurement, what I was saying was that they were to...