$LaTeX$ $KaTeX$ 标题公式

行内公式 $f(x)=\frac1x$

$$D_n=\prod_{i=1}^{n+1}a_i^n\left|\begin{array}{} 1&\frac{b_1}{a_1}&...&(\frac{b_1}{a_1})^{n-1}&(\frac{b_1}{a_1})^{n}\\ 1&\frac{b_2}{a_2}&...&(\frac{b_2}{a_2})^{n-1}&(\frac{b_2}{a_2})^{n}\\ ...&...&...&...&...\\ 1&\frac{b_n}{a_n}&...&(\frac{b_n}{a_n})^{n-1}&(\frac{b_n}{a_n})^{n}\\ 1&\frac{b_{n+1}}{a_{n+1}}&...&(\frac{b_{n+1}}{a_{n+1}})^{n-1}&(\frac{b_{n+1}}{a_{n+1}})^{n} \end{array}\right|$$

离谱的标题也能在目录显示 $D_n=\prod_{i=1}^{n+1}a_i^n\left|\begin{array}{}1&\frac{b_1}{a_1}&...&(\frac{b_1}{a_1})^{n-1}&(\frac{b_1}{a_1})^{n}\\1&\frac{b_2}{a_2}&...&(\frac{b_2}{a_2})^{n-1}&(\frac{b_2}{a_2})^{n}\\...&...&...&...&...\\1&\frac{b_n}{a_n}&...&(\frac{b_n}{a_n})^{n-1}&(\frac{b_n}{a_n})^{n}\\1&\frac{b_{n+1}}{a_{n+1}}&...&(\frac{b_{n+1}}{a_{n+1}})^{n-1}&(\frac{b_{n+1}}{a_{n+1}})^{n}\end{array}\right|$

NOTE

块内的公式

$$D_n=\left|\begin{array}{} 1 & x_1 & x_2 & x_3 & ... & x_n \\ 0 & 1+x_{1}^2 & x_1x_2 & x_1x_3 & ... & x_1x_n \\ 0 & x_2x_1 & 1+x_{2}^2 & x_2x_3 & ... & x_2x_n \\ 0 & x_3x_1 & x_3x_2 & 1+x_{3}^2 & ... & x_3x_n \\ 0 & ... & ... & ... & ... & ... \\ 0 & x_nx_1 & x_nx_2 & x_nx_3 & ... & 1+x_{n}^2 \end{array}\right|$$