Recent content by mruncleramos

and the line comes from the vector definition of line.

oh oh oh i see now. thanks

Then i think my conception of adding vectors is incorrect. If i think of vectors as directed line segments, i can't think of a way to add vectors on the x-axis to other vectors to get something parallel.

But if you add a vector to the x-axis, how can that be a line parallel to the x-axis. More importantly, what is an element of the x-axis? Is it just a point?

I'm having a bit of trouble seeing Vector Quotient Spaces. Lets say I have a vector space $V$ and I want to quotient out by a linear subspace $N$. Then $V/N$ is the set of all equivalence classes $[N + v]$ where $v \in V$. For example, let me try to take $\mathbb{R}^{2} /$ x-axis. This...

I've come to realize over time that it is better not to have a solutions manual.

Hello, I am currently a high school student and I have been accepted into both UC Berkeley and the University of Chicago. I plan to major in math or physics, but I have no idea which college I want to go to. From what you know of their undergraduate mathematics or physics programs, which...

IQ is the stupidest thing I have ever seen. What is it supposed to measure again?

I use my extraordinary power of teleportation to get out.

I can help you. All you need is to move those things around and apply those theorems.

Hm, I've already discovered mathematical and physical fallacies in his argument. Some people just can't do algebra i guess.

This site was linked at the top of the physics forums website. www.relativitychallenge.com I guess everybody has freedom of speech. Do people just get a kick out of proving Einstein wrong?

This problem comes from Halmos's Finite Dimensional Vector Spaces. Given that we can re-define addition or multiplication or both, is the set of all nonnegative integers a field? What about the integers? My thinking is that since the Rational numbers form a field, and they are countable, we...

My library limit for Goursat's book(s) is dwindling down rapidly. Does anyone know where I can get a new copy? I hear dover had them before.

Has anyone read Cours d'analyse mathématique (Course in Mathematical Analysis)? If you have, do you find some the the problems just a might challenging? I've found that this is pretty characteristic of books of that time period. Why have problems in textbooks today gotten so much easier?