前言
牛顿迭代法 (Newton’s method) 又称牛顿-拉夫逊方法（Newton-Raphson method）
无限循环，间隔1秒，最后一帧3秒
This sentence uses $ delimiters to show math inline: $\sqrt{3x-1}+(1+x)^2$
The Cauchy-Schwarz Inequality
\[\left( \sum_{k=1}^n a_k b_k \right)^2 \leq \left( \sum_{k=1}^n a_k^2 \right) \left( \sum_{k=1}^n b_k^2 \right)\]Here is some math!
$\sqrt{3x-1}+(1+x)^2$
\[\sqrt{3x-1}+(1+x)^2\]\sqrt{3}
\[\begin{aligned} & \phi(x,y) = \phi \left(\sum_{i=1}^n x_ie_i, \sum_{j=1}^n y_je_j \right) = \sum_{i=1}^n \sum_{j=1}^n x_i y_j \phi(e_i, e_j) = \\ & (x_1, \ldots, x_n) \left( \begin{array}{ccc} \phi(e_1, e_1) & \cdots & \phi(e_1, e_n) \\ \vdots & \ddots & \vdots \\ \phi(e_n, e_1) & \cdots & \phi(e_n, e_n) \end{array} \right) \left( \begin{array}{c} y_1 \\ \vdots \\ y_n \end{array} \right) \end{aligned}\](E=mc^2)
[E=mc^2]
test1$E=mc^2$test2 test3 $E=mc^2$
\[E=mc^2\] \[E=mc^2\] \[\boxed{E=mc^2}\]$x^2$
$x_2$
$10^{10}$ $10_{10}$ ${10^5}^6$
\(10^{10}\) \(10_{10}\) \({10^5}^6\)
$x_i^2$ $x_{i^2}$ ${x_i}^2$ ${x^i}^2$ ${x_i}^2$
\(x_i^2\) \(x_{i^2}\) \({x_i}^2\) \({x^i}^2\) \(x^{i^2}\)
$sqrt{b}$ $sqrt[a]{b}$
$\frac {a}{b}$ $a+1 \over b+1$
https://zhuanlan.zhihu.com/p/400064205 https://brilliant.org/wiki/newton-raphson-method/ https://www.sciencedirect.com/topics/mathematics/newton-raphson-method https://en.wikipedia.org/wiki/Newton%27s_method