利用者:OptimusInteractive/数学記号

数学記号を置いておくところ。

置き場

$1+1=2$

$+-=><\times ÷\approx \ne \ge \le$

$\equiv \equiv ̸\in \notin \subseteq \subset \supseteq \supset$

$\mathrm{\neg }\mathrm{\forall }\mathrm{\exists }\vee \wedge \to \leftarrow \leftrightarrow$

$\Rightarrow \Leftarrow \iff \therefore \because$

$X(z)=\sum _{n=-\mathrm{\infty }}^{\mathrm{\infty }}x(n)z^{-n}$

$n!=\prod _{k=1}^{n}k$

$\mathrm{\nabla }\times \mathbf{𝐇}=\mathbf{𝐣}+\frac{\partial \mathbf{𝐃}}{\partial t}$

${\oint }_C\mathbf{𝐇}\cdot d\mathbf{𝐥}=\underset{S}{\int }(\mathbf{𝐣}+\frac{\partial \mathbf{𝐃}}{\partial t})\cdot d\mathbf{𝐒}$

$\frac{1}{2}m{\dot{x}}^2=\int F(x)dx+C$

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$a_0{s}^n+a_1{s}^{n-1}+\cdots +a_n=0$

$\underset{x\to 0}{\lim }\frac{\sin x}{x}=1$

$H(p)=\left(\begin{array}{cccccc}{a}_1& a_3& a_5& a_7& \cdots & a_{2n-1}\\ a_0& a_2& a_4& a_6& \cdots & a_{2n-2}\\ 0& a_1& a_3& a_5& \cdots & a_{2n-3}\\ 0& a_0& a_2& a_4& \cdots & a_{2n-4}\\ 0& 0& a_1& a_3& \cdots & a_{2n-5}\\ ⋮& ⋮& ⋮& ⋮& \ddots & ⋮\\ 0& 0& 0& 0& \cdots & a_n\\ \end{array}\right)$

$D_k=\left|\begin{array}{cccccc}{a}_1& a_3& a_5& a_7& \cdots & a_{2k-1}\\ a_0& a_2& a_4& a_6& \cdots & a_{2k-2}\\ 0& a_1& a_3& a_5& \cdots & a_{2k-3}\\ 0& a_0& a_2& a_4& \cdots & a_{2k-4}\\ 0& 0& a_1& a_3& \cdots & a_{2k-5}\\ ⋮& ⋮& ⋮& ⋮& \ddots & ⋮\\ 0& 0& 0& 0& \cdots & a_k\\ \end{array}\right|$