David Tan
Reputation
Top tag
Next privilege 250 Rep.
 Jan29 asked Polar and Spherical Coordinates Conversion Nov19 awarded Popular Question Jul2 awarded Curious May13 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 May13 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, $[-1,1] \times, \cdots, \times [-1,1]$. May13 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, $[-1,1] \times \cdots \times [-1,1]$? May13 asked How to compute $\int_{[-1,1]\times \cdots \times [-1,1]} \frac{1}{\sqrt{2\pi}}e^{-\frac{1}{2}(a^Tx-b)^2}dx$? Apr28 awarded Commentator Apr28 comment What is $\int e^{-\frac{(y-\mathbf{x}^T\mathbf{\theta})^2}{2}}d\mathbf{\theta}$? Sorry, I missed the square. Apr28 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 $\mathbf{\theta} \in \mathbb{R}^{100}$? Apr28 revised What is $\int e^{-\frac{(y-\mathbf{x}^T\mathbf{\theta})^2}{2}}d\mathbf{\theta}$? edited title Apr28 comment What is $\int e^{-\frac{(y-\mathbf{x}^T\mathbf{\theta})^2}{2}}d\mathbf{\theta}$? Should it be $e^{-y/2}e^{x_1\theta_1/2}e^{x_2\theta_2/2}$? Apr28 comment What is $\int e^{-\frac{(y-\mathbf{x}^T\mathbf{\theta})^2}{2}}d\mathbf{\theta}$? Thank you. This is neat. Apr28 asked What is $\int e^{-\frac{(y-\mathbf{x}^T\mathbf{\theta})^2}{2}}d\mathbf{\theta}$? Sep26 revised How to prove $\|AB\|_F \le \|A\|_F\|B\|_2$? added 131 characters in body Sep26 comment How to prove $\|AB\|_F \le \|A\|_F\|B\|_2$? $\|\cdot\|_F$ and $\|\cdot\|_2$ are the Matrix Frobenius-norm and 2-norm. Sep26 asked How to prove $\|AB\|_F \le \|A\|_F\|B\|_2$? Jul18 accepted A question about the definition of partition in Riemann Integral Jul15 revised A question about the definition of partition in Riemann Integral added 1 characters in body Jul14 awarded Editor