I use markdown_it to convert my Markdown to html, the converted formula lost its delimiters, which caused my mathjax cannot render the formula, my mathjax confirmation is : The HTML:

a rational number like \begin{matrix} L & \ = \{ x \mid x \in \mathbb{Q},x \leq 0\} \cup \left\{ x \mid x \in \mathbb{Q},x > 0,x^{2} < 2 \right\} \\ U & \ = \mathbb{Q} - L = \left\{ x \mid x \in \mathbb{Q},x > 0,x^{2} > 2 \right\} \\ \end{matrix} .
2. A fact between two Dedekind cuts(the density of Q in R): For any pair of real numbers \alpha and \beta, where \alpha > \beta, there can always be found a real, and even in particular a rational, number r which lies between them, i.e. \alpha > r > \beta (and, consequently, an infinite set of such rational numbers).

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