Display Math Equation in Post

There will be many posts demostrate how to transfer the mathematical laws to the codes, and the reversed flaw. I start from this famous equation:

$E = mc^2$

Use the steps 1 and 2 indtroducted in Fong Chun Chan’s post, my website is able to show the equation in any post. Because this theme use kramdown as the engine of markdown, I pass the step 4.

Here are the proof the central limitation theorem. Mix of inline and one-line equations.
We have a sequence of independent random variables,$X_1, X_2, \ldots$
And the mean and variance of them:
Mean $E \left[{X_i}\right] = \mu \in \left({-\infty \,.\,.\, \infty}\right)$
Variance $V \left({X_i}\right) = \sigma^2 > 0$

Assume:
$S_n = \sum_{i \mathop = 1}^n X_i$
Then:
$\displaystyle \frac {S_n - n \mu} {\sqrt {n \sigma^2} } \xrightarrow {D} N \left({0, 1}\right)$ as $n \to \infty$

Embedded tex codes in $$...$$, the equation was transfered inline or in single line. Thus I pass the step 3 of Fong Chun Chan’s method.

Note. Justify the last equation in 2021-05-13 20:51:38