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 Yearling
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Jun
12
comment Compound Poisson process with exponential distribution
But those two transforms are done by Mathematica, with FourierParameters -> {1, 1}
Jun
12
comment Compound Poisson process with exponential distribution
Thank you, and now it's $(1+\mu a/2)\lambda^{-1}$, which seems closer.
Jun
12
revised Compound Poisson process with exponential distribution
deleted 202 characters in body
Jun
12
revised Compound Poisson process with exponential distribution
deleted 202 characters in body
Jun
12
asked Compound Poisson process with exponential distribution
Jun
6
comment Signal Analysis/Processing Textbook
Tamal Bose's Digital Signal and Image Processing interests me for its part of introduction on the stability of multidimensional signal, yet this book does not include wavelet.
Jun
5
comment Cauchy–Schwarz inequality for complex numbers
@MrAres , this is CS inequality. CS inequality is about inner product, not product.
Jun
5
comment Cauchy–Schwarz inequality for complex numbers
Should be $\mathrm{Re}(z_1\cdot\bar{z_2})^2\le|z_1|^2|z_2|^2$.
May
17
awarded  Yearling
Apr
25
comment Need help solving Recursive series defined by $x_1 = \sin x_0$ and $x_{n+1} = \sin x_n$
@MaoYiyi As an alternative, it is easy to show that $0<x_{n+1}<x_n<x_1\le 1$, thus $\{x_n\}$ has a limit, which is the solution of $x=\sin x\,(0<x<1)$.
Apr
24
comment Proof $||A||_{p} < 1 \Rightarrow \lim\limits_{k \rightarrow \infty}{A^k} = 0$ for any $A \in \mathbb R^{n \times n}$
Hint: $\|AB\|\le\|A\|\|B\|$ for all $p$-norm.
Apr
23
comment Proving that an $n\times n$ matrix has at most $n$ distinct eigenvalues
If $F$ is algebraically close, the equation will have $n$ roots, otherwise, less than $n$.
Apr
23
comment Need help solving Recursive series defined by $x_1 = \sin x_0$ and $x_{n+1} = \sin x_n$
@MaoYiyi , if you are confused, try to take $x_1$ as the start value.
Apr
23
answered Need help solving Recursive series defined by $x_1 = \sin x_0$ and $x_{n+1} = \sin x_n$
Apr
19
suggested rejected edit on Show that $\int_{-\pi}^{\pi}e^{\alpha \cos t}\sin(\alpha \sin t)dt=0$
Apr
19
accepted Similarity between $I+N$ and $e^N$ when $N$ is nilpotent
Apr
19
comment Similarity between $I+N$ and $e^N$ when $N$ is nilpotent
I think I understand, thank you, @zyx .
Apr
18
comment How to prove $\sum_{i,j}y_{i}^{T}y_{j} W_{i,j}=tr(Y^{T}WY)$
Isn't it $=\mathrm{tr}Y^TLY$, where $L$ is the Laplacian matrix (en.wikipedia.org/wiki/Laplacian_matrix)?
Apr
15
comment Similarity between $I+N$ and $e^N$ when $N$ is nilpotent
Why won't the "chain" of $A^i$ terminate before $i$ reaches $n$ in the triangle case? I mean, why is it impossible that there exist a $k<n$ such that $A^k=0$?
Apr
15
revised Similarity between $I+N$ and $e^N$ when $N$ is nilpotent
added 33 characters in body