# Recent content by mruncleramos

1. ### Vector Quotient Spaces

and the line comes from the vector definition of line.
2. ### Vector Quotient Spaces

oh oh oh i see now. thanks
3. ### Vector Quotient Spaces

Then i think my conception of adding vectors is incorrect. If i think of vectors as directed line segments, i cant think of a way to add vectors on the x-axis to other vectors to get something parallel.
4. ### Vector Quotient Spaces

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?
5. ### Vector Quotient Spaces

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...
6. ### Spivak calculus on manifolds solutions? (someone asked this b4 and got ignored)

I've come to realize over time that it is better not to have a solutions manual.
7. ### Cal vs Chicago

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...
8. ### Really challenging IQ test

IQ is the stupidest thing I have ever seen. What is it supposed to measure again?
9. ### Putnam Exam Prep Questions

I use my extraordinary power of teleportation to get out.
10. ### Hey guys i need help in matrix

I can help you. All you need is to move those things around and apply those theorems.
11. ### What the heck?

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

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?
13. ### Fields and new operations

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...
14. ### Goursat and Analysis

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.
15. ### Goursat and Analysis

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?