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 2018-01-02 17:28:50