meta user
network profile
| bio | website | math.ucsb.edu/~mangual |
|---|---|---|
| location | New York, NY | |
| age | 28 | |
| visits | member for | 2 years, 6 months |
| seen | Jun 16 at 22:48 | |
| stats | profile views | 190 |
Graduate Student at UCSB. Interested in Statistics, Geometry and Physics. Asking the questions I've always wanted to ask.
|
Jun 9 |
comment |
prove that this inequality This can be seen as a quadratic form in variables $\vec{a} \in S^n$ whose extreme values are the largest and smallest eigenvalues $\lambda_1 < \vec{a}^T M \vec{a} < \lambda_n$ with $\lambda_1 \leq \dots \leq \lambda_n$. |
|
Jun 9 |
suggested | suggested edit on prove that this inequality |
|
Jun 9 |
comment |
prove that this inequality Let's consider the case $a_1 = \dots = a_n = 0$. Then $S_k = a_0$ for all $k$. The inequality reads: $$ a_0^2 - \frac{1}{n^2} \big[(n+1)a_0\big]^2 \geq \frac{4}{45} (a_0^2 - a_0^2) = 0 $$ I suspect you have a typo. |
|
Jun 9 |
revised |
prove that this inequality n-choose-k notation easier to read |
|
Jun 9 |
suggested | suggested edit on prove that this inequality |
|
May 24 |
revised |
Derivative of Associated Legendre polynomials at $x = \pm 1$ added 439 characters in body |
|
May 24 |
answered | Derivative of Associated Legendre polynomials at $x = \pm 1$ |
|
May 23 |
comment |
Derivative of Associated Legendre polynomials at $x = \pm 1$ What does it mean to write a mesh for spherical harmonics, what are the criteria? |
|
May 23 |
comment |
Derivative of Associated Legendre polynomials at $x = \pm 1$ i only know a tiny bit of numerical analysis, but your quotient should have a limit at $x = \pm 1$. Is it possible to extend the time on the bounty? |
|
May 20 |
awarded | Nice Answer |
|
Apr 27 |
answered | The value of the Nth derivative equals the function. |
|
Apr 23 |
answered | How do I sell out with abstract algebra? |
|
Apr 20 |
answered | prove that , $2+2+2+2+2+ \cdots= 1+1+1+1+1+\cdots$ |
|
Apr 10 |
asked | apollonian circles: why are radius and center dual? |
|
Feb 24 |
answered | Derivation of the limit $\sin x/x$ |
|
Feb 23 |
answered | the equation of circle in complex plane passing through three points |
|
Feb 23 |
answered | I couldn't solve $\lim\limits_{h \to 0}\frac{e^{(x+h)\log a}-e^{x\log a}}{h}=1$ |
|
Feb 22 |
comment |
How to calculate t-values from percent ranks? try stats.stackexchange.com |
|
Feb 22 |
revised |
Coordinate-free proof of $\operatorname{Tr}(AB)=\operatorname{Tr}(BA)$? added 772 characters in body |
|
Feb 22 |
answered | Coordinate-free proof of $\operatorname{Tr}(AB)=\operatorname{Tr}(BA)$? |
