Recent content by jpcjr

Thank you! By the skin of my teeth, some help from you, and the grace of God, I received the best grade I could have expected in Linear Algebra. Thanks, again! Joe

Thank you! By the skin of my teeth, some help from you, and the grace of God, I received the best grade I could have expected in Linear Algebra. Thanks, again! Joe

Thank you! By the skin of my teeth, some help from you, and the grace of God, I received the best grade I could have expected in Linear Algebra. Thanks, again! Joe

Thank you! By the skin of my teeth, some help from you, and the grace of God, I received the best grade I could have expected in Linear Algebra. Thanks, again! Joe

Homework Statement Here is the problem and my complete answer. Am I OK? Thanks! http://www.d-series.org/forums/members/52170-albums1546-picture8143.jpg Homework Equations The Attempt at a Solution

Thank you very much, as well!

Thank you very much!

Thank you! Thank you! Thank you! Thank you!

I thought the definition of a field was the set of all real numbers plus addition and multiplication (or whatever the particular set of operations are) and since its elements have no direction, by definition, they are not vectors; thus cannot be a vector space. (1) Am I wrong? (2) Can a...

What is meant by "can be identified with" Background I was reading Anthony Henderson’s paper “Bases For Certain Cohomology Representations Of The Symmetric Group “ (Ref.: arxiv.org/pdf/math/0508162) and came across the following statement in Proposition 2.6 on Page 9: “V(1, n) can be...

What is the " o " in Voj? Definition. If V is a vector space over the field F and S is a subset of V, the annihilator of S is the set So of linear functionals f on V such that f(α) = 0 for every α in S. . . .

I apologize for not having any attempted work, but I have no idea how to even begin tackling this proof. Any direction would be greatly appreciated! Mike Homework Statement Let V be a vector space, Let W1, ..., Wk be subspaces of V, and, Let Vj = W1 + ... + Wj-1 + Wj+1 + ...

To your first point... I am sure it is: Let v(x,t) = u(x+ct,t) to your second point... That would mean the following is incorrect, right? v.sub.x(x,t) = c u.sub.x(x+ct,t) and should have been... v.sub.x(x,t) = u.sub.x(x+ct,t)

Any help on any part will be GREATLY appreciated!

1. Homework Statement NOTE: I realize the following is a partial differential equation, but I believe the answer to my question is a straight forward multi-variate calculus question. Let v(x,t) = u(x+ct,t) and show that v(x,t) solves the following... ut = κ uxx ; (-∞<x<∞) u(x,0) =...