Converting Matlab code to mathematical equations

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Oliver 2014-5-2

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https://ww2.mathworks.cn/matlabcentral/answers/127978-converting-matlab-code-to-mathematical-equations

评论： manoj subedi 2016-9-29

Hi,

I understand that it is possible to convert mathematical equations to code usable in Matlab, but is there a simple method for exporting sections of code as mathematical equations, for use in a manuscript for example?

Thanks!

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Azzi Abdelmalek 2014-5-2

编辑：Azzi Abdelmalek 2014-5-2

What do you mean? Give an example

manoj subedi 2016-9-29

For all $r\in\Q\cap [0,1)$, set $N_{r} = I_{r}\cup II_{r}$, since $$I_{r} = \{x+r\ |\ x\in E\cap [0,1-r)\}\ \text{e}\ II_{r}=\{x+r-1\ |\ x\in E\cap [1-r,1)\}.$$

Note that $N_{r}$ i Lebesgue-mensurable, because $I_{r}$ is tranlation of $E\cap [0,1-r)$ and $II_{r}$ is tranlation of $E\cap [1-r,1)$ that are Lebesgue-mensurable. In addition, for each $r\in [0,1)\cap\Q$, $$m(N_{r}) = m(I_{r}\cup II_{r}) = m(I_{r}) + m(II_{r}) = m(E\cap [0,1-r)) + m(E\cap [1-r,1)) = m(E).$$

Yet, if $m(E)>0$, then $$m\left(\bigcup_{r\in\Q\cap [0,1)} N_{r}\right) = \sum_{ r\in\Q\cap [0,1)} m(N_{r}) = \sum_{ r\in\Q\cap [0,1)} m(E) = +\infty .$$

But in the other hand, $$\bigcup_{r\in\Q\cap [0,1)} N_{r}\ \subset\ [0,1)\Rightarrow\ m\left(\bigcup_{r\in\Q\cap [0,1)} N_{r}\right) \leq 1,$$ what is a contradiction.

Soon, $m(E)=0$.So now need to convert in to formulas. Can you help?

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