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Apr
2
comment Determinant of the transpose of elementary matrices
no big deal, glad you understand more now too.
Mar
20
comment Determinant of the transpose of elementary matrices
It is not true that $\det{M} = \mathrm{tr}\,M$ for upper or lower triangular matrices.
Feb
22
awarded  Yearling
Nov
5
revised How many integer solutions to a linear combination, with restrictions?
deleted 5 characters in body
Nov
5
answered How many integer solutions to a linear combination, with restrictions?
Apr
1
answered Old MIT exam question, how do I solve it?
Mar
14
suggested suggested edit on Newton-Raphson's Method to find $\sqrt{2012}$
Mar
4
awarded  Critic
Mar
4
answered Does $f'(x) = f(\ln(x))$ have an easily expressed solution?
Mar
3
revised Derivative of $f(x)$ at $0$, when $\lim_{x \to 0} f(x)/|x|=1$
added 5 characters in body
Mar
3
answered Derivative of $f(x)$ at $0$, when $\lim_{x \to 0} f(x)/|x|=1$
Feb
29
revised Differential forms and double improper integral
added 57 characters in body
Feb
29
answered Differential forms and double improper integral
Feb
29
answered Evaluate $\int_0^1 {\ln(1+x)\over x}\,dx$.
Feb
29
comment Monge Ampere and Calculus
When computing the variational derivative of a functional which depends both on a function's profile, $\phi(x)$ say, and the profile of its derivative, $\phi^\prime(x)$, the Euler-Lagrange equation involves both $\partial L/\partial\phi$ and $\partial L/\partial\phi^\prime(x)$. Read more about the derivation of the Euler-Lagrange equations to see how this comes about. I can recommend a good source or two if the book you're pulling this material from doesn't do it.
Feb
26
awarded  Editor
Feb
26
revised Monge Ampere and Calculus
added 452 characters in body
Feb
25
comment Finding two functions (density) $g,f$ satisfying some conditions
I'm assuming the $= M$ at the end only applies to the last equation between the total weight of the densities $f$ and $g$ and not to the above equations, right?
Feb
24
answered Monge Ampere and Calculus
Feb
23
comment When is a real function orthogonal to its derivative?
Yes for both of them.