# Recent content by CSteiner

1. ### Linear Algebra Good reading on Applied Linear Algebra?

Yes, this is the first half of the book, and these are the subjects I'd like to see some examples of. I may try this, the applications to graph theory look promising. To be honest though, this seems more like an equivalently abstract formulation of the subject in terms of matrices. I'm more...
2. ### Linear Algebra Good reading on Applied Linear Algebra?

I've been studying graduate level Linear Algebra from Steven Roman's Advanced Linear Algebra (Springer, GTM). It is a terrific book, but many of the concepts are extremely abstract so that I find it difficult to retain what I've learned. Can anyone point me to some books/reading on the...
3. ### I Understanding Torsion Elements

Okay, that makes sense, thanks!
4. ### I Understanding Torsion Elements

Okay I think I understand now. However, I am noticing that the first definition invokes right multiplication whereas the second definition invokes left multiplication. In a module over a commutative ring this obviously won't make a difference, but is there some sort of subtle significance in the...
5. ### I Understanding Torsion Elements

So I've been studying advanced linear algebra and have started learning about modules. However, I am having a hard time understanding the difference between a zero divisor and a torsion elements. The definitions seem extremely similar. Can someone offer a good definition of each and an...
6. ### Why is a branched line in R2 not a topological manifold?

Will do, thanks for pointing me in the right direction.
7. ### Why is a branched line in R2 not a topological manifold?

Not rigorously.
8. ### Why is a branched line in R2 not a topological manifold?

Why not? Sorry if this seems like a stupid question, but I'm only just now learning (and trying to understand) the definitions of these things. Open means that it belongs the standard topology on R2, right? Why doesn't it?
9. ### Why is a branched line in R2 not a topological manifold?

Well why don't we form a chart (U, x) where U is an element of the subset topology of the standard topology on R2. Then U can be a subset of of the branch containing the point of branching with open endpoints on each of the three branches. x can then map each of these points to a point in R2...
10. ### Why is a branched line in R2 not a topological manifold?

Is there a topologist out there that wants to explain why exactly a branched line in R2 is not not a topological manifold? I know it's because there doesn't exist a chart at the point of branching, but I don't understand why not. I'm just starting to self study this, so go easy on me :).
11. ### Comp Sci Need Help C++ RLE Algorithim

1. Whoops, it's attached now. 2.will do. 3. He kept on stressing that streams had to be passed by reference, so I thought he was implying it was necessary to pass streams in this assignment, and I didn't really think about it. 4. I'll play with that, thanks. 5. I had it as an integer initially...
12. ### Comp Sci Need Help C++ RLE Algorithim

Homework Statement [/B] See this link for the given assignment. http://eilat.sci.brooklyn.cuny.edu/cis1_5/HW5i_C.pdf [Broken] note: on the last page the output aa4bcdd0cc1 is actually supposed to be aa3bcdd1cc1c. Homework Equations I have no idea why my encoder function doesn't work. No...
13. ### System of Implicit Non-Linear First Order ODEs

Sorry, but it looks like something went wacky with your latex code. Could you retype it? It's hard to understand what your saying.
14. ### System of Implicit Non-Linear First Order ODEs

Didn't think of that, thanks! I'll keep working on it.
15. ### System of Implicit Non-Linear First Order ODEs

I have an extremely messy system of differential equations. Can anyone offer any ideas for a general solution? p(t) is a function of t, and A is a constant.