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  1. C

    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...
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    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...
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    I Understanding Torsion Elements

    Okay, that makes sense, thanks!
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    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...
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    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...
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    Why is a branched line in R2 not a topological manifold?

    Will do, thanks for pointing me in the right direction.
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    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?
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    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...
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    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 :).
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    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...
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    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...
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    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.
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    System of Implicit Non-Linear First Order ODEs

    Didn't think of that, thanks! I'll keep working on it.
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    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.
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    Can the entries of a Matrix be elements of an unordered set?

    Okay, so I've been doing more reading and I think that based on your criteria we can say that at the very least, entries of a matrix must be members of a semiring. Would you agree with this statement?
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    Can the entries of a Matrix be elements of an unordered set?

    But if my entries are not members of a field what do I call it?
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    Can the entries of a Matrix be elements of an unordered set?

    So essentialy you're saying it is still fine to call it a matrix, but the usual matrix operations are not defined on it?
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    Can the entries of a Matrix be elements of an unordered set?

    Most definitions of a matrix that I have seen involve entries that are elements of a field. What if I have a unorderd set with no operations defined on it, say a set of different colored marbles or a set of historical events. Can I have a matrix whose entries are elements of such a set?
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    Multivariable Version of FToC?

    Ah, thanks. I guess I'm going to have to get off my ass and finish that MIT OCW Multivariable Calculus course I've been studying. I'm about halfway through, so I've seen double integrals and differentials, but not stoke's theorem.
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    Multivariable Version of FToC?

    So for a function of a single variable How can this be extended to the integration of the total differential of a multivariable function over a region (specifically one of two variables)? That is, how do you integrate Say over the circular region ,
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    Methods for Modeling 2d Rocket Flight

    I meant that. What do you mean by the iteration steps though?
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    Methods for Modeling 2d Rocket Flight

    Thanks for taking the time to read and reply! hmm, you're right. I should have done the derivation purely in terms of momentum. Well, I was assuming a constant R. There is no delta m in the integral. Huh. I guess I just assumed that air resistance was always anti-parallel to direction of...
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    Methods for Modeling 2d Rocket Flight

    I've formulated a method for modeling the flight of a rocket projectile. Can anyone read it over and point out any mistakes false assumptions, etc? thanks!
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    Convert this relation to a function

    I was afraid of that. This relation was supposed to model the angle of attack of a rocket projectile. I guess I'll have to derive a different way of modeling it. Thanks!
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    Convert this relation to a function

    can anyone convert the relation tan y=(Vsin(y)-gx)/Vcos(y) to an explicit function y=f(x) in terms of V, x and g? g is a constant V is the function V(x)= -aln(b/b-cx)-dx a,b,c,and d are also constants. Thanks!
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    General Solution to a certain form of ODE

    yes, that's how I derived it. I was just wondering if it had a name.
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    General Solution to a certain form of ODE

    While fiddling around with some very simple linear ODEs, I "discovered" a formula that gives a solution to ODEs of the form: ##y'+y=ax^n ##. here it is: i'm sure that this was discovered before, but i was just wondering if it had any official name or something.
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    Second Order ODE question

    Thanks, guys! To be clear, I knew that that was my teacher's point, and that the solution of the ODE doesn't even actually apply to the electron, I was just interested in the theoretical process of solving such an ODE. I was assuming it was a relatively simple ODE that could be solved using...
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