# All Questions

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### What different between huffman and EBCOT?

I have a question about entropy coding and Image compression. Huffman coding and EBCOT coding are entropy coding. correct or not? I knew about huffman coding but I don't know EBCOT, How it working?...
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### Transformations of two Laplace distributions resulting in a Laplace distribution

Suppose we have two independent identical random variables $X_1$ and $X_2$ with Laplace distribution \begin{align} f_X(x)=\frac{1}{2b}e^{-\frac{|x|}{b}} \end{align} I am looking for a non-...
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### Determine SE(3) transform between pair of sensors producing 2d line segments

Say we have sensorA and sensorB with an unknown transform between them, and that we have n ...
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### Why does MLE work for continuous distributions?

In the attachment below you can see the definition of the likelihood function. Likelihood 1) Whilst the explanation of why the whole max likelihood method is viable for discrete distributions is ...
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### What is embedding?

I am new to this so do I need to learn topology in order to understand this? Cause I come across this which says that unlike the 2D sphere, 2d saddle surface cannot be embedded in 3D Euclidean space(...
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### Prove: Let $a,b\in R$ such that $a\lt b$, and $f:[a,b]\rightarrow R$ be monotonic, then $\frac{1}{f}$ is also monotonic

Prove or disprove: Let $f:[a,b]\rightarrow \mathbb{R}$ be monotone. If $f(x)\ne 0$ for all [a,b], then $1/f$ is also monotone on [a,b]. I've been sitting on this for quite a while trying to find a ...
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### Inverse Matrix=echolon form of $(M|E_n)$?

Why is it, that if i want to calculate the inverse of a matrix, the echelon form of $(M|E_n)$ will give it to me? For example: $\{\{1,-2,0,1,0,0\},\{0,2,1,0,1,0\},\{-1,1,2,0,0,1\}\}$ in echelon form ...
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### A convergent series: $\sum_{n=0}^\infty 3^{n-1}\sin^3\left(\frac{\pi}{3^{n+1}}\right)$

I would like to find the value of: $$\sum_{n=0}^\infty 3^{n-1}\sin^3\left(\frac{\pi}{3^{n+1}}\right)$$ I could only see that the ratio of two consecutive terms is $\dfrac{1}{27\cos(2\theta)}$.
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### Generators of so(7)

Short version: Let $V$ be a 7-dimensional linear space of (real) square matrices. Suppose further that $[V,V]$ (the linear space spanned $[X,Y]$, $X,Y\in V$) is isomorphic to $\mathfrak{so}(7)$. Can ...
### Is a Blaschke product/rational function a covering map for a $n$-sheeted covering of $S^{1}$?
We have a Blaschke product $B(z)$ of order $n$ (you can think of it as a rational function with $n$ zeros and $n$ poles), the zeros are obviously inside $\mathbb{D}$. Why is \$B(z) \colon S^{1} \to S^{...