利用者:OptimusInteractive/数学記号

数学記号を置いておくところ。

置き場

$1+1=2$

$+-=><\times \div \approx \neq \geq \leq$

$\equiv \not \equiv \in \notin \subseteq \subset \supseteq \supset$

$\neg \forall \exists \lor \land \rightarrow \leftarrow \leftrightarrow$

$\Rightarrow \Leftarrow \Leftrightarrow \therefore \because$

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

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

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

$\oint _{C}\mathbf {H} \cdot d\mathbf {l} =\int _{S}\left(\mathbf {j} +{\frac {\partial \mathbf {D} }{\partial t}}\right)\cdot d\mathbf {S}$

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

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

$a_{0}s^{n}+a_{1}s^{n-1}+\cdots +a_{n}=0$

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

$H(p)={\begin{pmatrix}a_{1}&a_{3}&a_{5}&a_{7}&\cdots &a_{2n-1}\\a_{0}&a_{2}&a_{4}&a_{6}&\cdots &a_{2n-2}\\0&a_{1}&a_{3}&a_{5}&\cdots &a_{2n-3}\\0&a_{0}&a_{2}&a_{4}&\cdots &a_{2n-4}\\0&0&a_{1}&a_{3}&\cdots &a_{2n-5}\\\vdots &\vdots &\vdots &\vdots &\ddots &\vdots \\0&0&0&0&\cdots &a_{n}\\\end{pmatrix}}$

$D_{k}={\begin{vmatrix}a_{1}&a_{3}&a_{5}&a_{7}&\cdots &a_{2k-1}\\a_{0}&a_{2}&a_{4}&a_{6}&\cdots &a_{2k-2}\\0&a_{1}&a_{3}&a_{5}&\cdots &a_{2k-3}\\0&a_{0}&a_{2}&a_{4}&\cdots &a_{2k-4}\\0&0&a_{1}&a_{3}&\cdots &a_{2k-5}\\\vdots &\vdots &\vdots &\vdots &\ddots &\vdots \\0&0&0&0&\cdots &a_{k}\\\end{vmatrix}}$