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seen Jun 24 at 16:22

Jul
2
awarded  Curious
May
13
revised How to compute $\int_{[-1,1]\times \cdots \times [-1,1]} \frac{1}{\sqrt{2\pi}}e^{-\frac{1}{2}(a^Tx-b)^2}dx$?
edited title
May
13
comment How to compute $\int_{[-1,1]\times \cdots \times [-1,1]} \frac{1}{\sqrt{2\pi}}e^{-\frac{1}{2}(a^Tx-b)^2}dx$?
Based on Robert's reply, I realized the integrals should be defined on, say, $[-1,1] \times, \cdots, \times [-1,1]$.
May
13
comment How to compute $\int_{[-1,1]\times \cdots \times [-1,1]} \frac{1}{\sqrt{2\pi}}e^{-\frac{1}{2}(a^Tx-b)^2}dx$?
Ah, you're right. How about in a closed region? Say, $[-1,1] \times \cdots \times [-1,1]$?
May
13
asked How to compute $\int_{[-1,1]\times \cdots \times [-1,1]} \frac{1}{\sqrt{2\pi}}e^{-\frac{1}{2}(a^Tx-b)^2}dx$?
Apr
28
awarded  Commentator
Apr
28
comment What is $\int e^{-\frac{(y-\mathbf{x}^T\mathbf{\theta})^2}{2}}d\mathbf{\theta}$?
Sorry, I missed the square.
Apr
28
comment What is $\int e^{-\frac{(y-\mathbf{x}^T\mathbf{\theta})^2}{2}}d\mathbf{\theta}$?
Sorry, I made a mistake. There should be a square in the exponent. Do I need to expand them all, suppose $\mathbf{\theta} \in \mathbb{R}^{100}$?
Apr
28
revised What is $\int e^{-\frac{(y-\mathbf{x}^T\mathbf{\theta})^2}{2}}d\mathbf{\theta}$?
edited title
Apr
28
comment What is $\int e^{-\frac{(y-\mathbf{x}^T\mathbf{\theta})^2}{2}}d\mathbf{\theta}$?
Should it be $e^{-y/2}e^{x_1\theta_1/2}e^{x_2\theta_2/2}$?
Apr
28
comment What is $\int e^{-\frac{(y-\mathbf{x}^T\mathbf{\theta})^2}{2}}d\mathbf{\theta}$?
Thank you. This is neat.
Apr
28
asked What is $\int e^{-\frac{(y-\mathbf{x}^T\mathbf{\theta})^2}{2}}d\mathbf{\theta}$?
Sep
26
revised How to prove $\|AB\|_F \le \|A\|_F\|B\|_2$?
added 131 characters in body
Sep
26
comment How to prove $\|AB\|_F \le \|A\|_F\|B\|_2$?
$\|\cdot\|_F$ and $\|\cdot\|_2$ are the Matrix Frobenius-norm and 2-norm.
Sep
26
asked How to prove $\|AB\|_F \le \|A\|_F\|B\|_2$?
Jul
18
accepted A question about the definition of partition in Riemann Integral
Jul
15
revised A question about the definition of partition in Riemann Integral
added 1 characters in body
Jul
14
awarded  Editor
Jul
14
comment A question about the definition of partition in Riemann Integral
Yes, you are right. I meant to say "finite partitions".
Jul
14
revised A question about the definition of partition in Riemann Integral
deleted 7 characters in body