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Apr
14
comment Book recommendation for Abstract Algebra
how do we not yet have a community wiki for such posts for all major topics / levels.
Apr
5
comment Differential Equations (Undetermined Coefficients)
dont forget to solve the homogeneous problem first!
Mar
29
answered Solution of the parabolic equation $u_t=(axu)_{xx}-((bx+c)u)_x$
Dec
21
awarded  Constituent
Dec
21
awarded  Caucus
Oct
8
asked Why study physical differntial equations in$\mathbb{R}^n$
Sep
27
awarded  Yearling
Aug
19
comment Going Back to Grad School After Being Away from Math
Well a very popular one these days seems to be Stewarts book which is quite enormous, though fairly thorough. Spivak has a book that I havent read yet but have heard great things about. As i understand it it would also serve as a bit of a primer for analysis which could be quite useful for you.
Aug
19
answered Going Back to Grad School After Being Away from Math
Aug
13
accepted Decreasing function Mean Value Theorem proof
Aug
13
revised Decreasing function Mean Value Theorem proof
texed the problem and attempt
Aug
13
asked Decreasing function Mean Value Theorem proof
Aug
12
accepted Showing a basis exists for a particular transformation
Aug
12
comment Showing a basis exists for a particular transformation
Its a problem I encountered while studying for a qualifying exam, Its possible the question is outside of the scope of what Ive learned so far. I know of Jordan Form but have never used it.
Aug
12
comment Showing a basis exists for a particular transformation
I dont know of minimal polynomials but am interested in how they help show that the transformation is diagnolizable. In short, I know very little about testing if a matrix is diagnolizable
Aug
12
comment Showing a basis exists for a particular transformation
I understand that this projection transformation works as you propose, but what im missing is how I know that such a basis exists? it seems obvious to me that if it exists...this is the one it should be.
Aug
12
asked Showing a basis exists for a particular transformation
Aug
9
comment AB=AC=I $\rightarrow$ B=C
Though this is useful, I think a user asking a question about RREF and existence of inverses wont be familiar with ring isomorphisms and linear maps and that this terminology is more likely to confuse rather than to help
Aug
5
comment Uniform Convergence verification for Sequence of functions - NBHM
We are interested in showing that the sup($f_n$) converges to 0. Thus we take the derivative of $f_n$ with respect to $x$, and see that the max occurs at $x_{max} = 2/n$. Then $f_n(x_{max})$ has a slightly different value than the one you proposed.
Aug
4
comment Uniform Convergence verification for Sequence of functions - NBHM
It makes little difference in your analysis but for the $f_n(x)=n^2x^2e^{-nx}$ problem, I think that the max occurs at $x = 2/n$