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Mar
25
comment Conjugate-transpose of a linear transformation
Or simply find the transformation basis of $T_{P}$ and take its transpose-conjugate, which should yield the same result.
Mar
25
comment Conjugate-transpose of a linear transformation
Thanks for the detailed explanation. Given a certain matrix $P$, to find the transformation basis of $(T_{P})*$ in the standard basis, I need to simply find the transformation basis of $T_{K}$ where $K=P^*$, right? (based on the above)
Mar
25
accepted Conjugate-transpose of a linear transformation
Mar
25
revised Conjugate-transpose of a linear transformation
added 36 characters in body; deleted 1 characters in body
Mar
25
asked Conjugate-transpose of a linear transformation
Mar
24
revised Question regarding positive-definite matrices
changing transpose to transpose-conjugate
Mar
24
suggested approved edit on Question regarding positive-definite matrices
Mar
14
revised Regarding orthonormal basis
added 188 characters in body
Mar
14
accepted Regarding orthonormal basis
Mar
13
asked Regarding orthonormal basis
Feb
24
answered Divergence of an improper integral - |cos(x^2)|/x^q
Feb
10
awarded  Citizen Patrol
Feb
9
comment If $f(x)\nearrow\infty$ in $[a, \infty)$ and $f'(x)$ is continuous in $[a, \infty)$ then $\int_{a}^{\infty}\frac{f'(x)}{f(x)}\sin(f(x))$ converges
@Adrian: I think it means $f(x)$ is increasing in the interval and $\lim_{x\to\infty}f(x)=\infty$.
Feb
5
accepted Question regarding Weierstrass M-test
Feb
5
comment Question regarding Weierstrass M-test
@Jonas: if you want to put that down as an answer, I'll gladly accept it.
Feb
5
comment Question regarding Weierstrass M-test
@Jonas: I see, something like $\sum \frac{(-1)^n}{n}$?
Feb
5
comment Question regarding Weierstrass M-test
@Jonas: not sure I follow. What should be constant?
Feb
5
comment Question regarding Weierstrass M-test
Thanks. One question though: why is $\sup_{x\in I} |u_n(x)| \geq u_n(n) = 1/n$?
Feb
5
comment Question regarding Weierstrass M-test
@Jonas: interesting. Will $\log(1+x)=\sum (-1)^{n+1}\frac{x^n}{n}$ work? Here $I=(-1, 1]$ and at $x=1$ we'll get $\frac{1}{n}$.
Feb
5
asked Question regarding Weierstrass M-test