- 追加された行はこの色です。
- 削除された行はこの色です。
%indent
左辺＝$$ \delta_{i'}^{k'} $$
＝$$ \vec{g}_{i'} \vec{g}^{\,k'} $$
＝$$ ( \beta_{i'}^{j} \vec{g}_{j} )( \beta^{k'}_{j} \vec{g}^{\,j}) $$
＝$$ ( \beta_{i'}^{j} \vec{g}_{j} )( \vec{g}^{\,j} \beta^{k'}_{j}) $$
＝$$ \beta_{i'}^{j} (\vec{g}_{j} \vec{g}^{\,j}) \beta^{k'}_{j} $$
＝$$ \beta_{i'}^{j} \beta^{k'}_{j} $$
＝右辺
$$$
\vec H = \left(\! \ffd{1}{4 \pi} \!\right)
\int\! \ffd{dq(\vec r - \vec r \,')}{|(\vec r - \vec r \,')|^3}
$$$
$$ \beta^{i'}_{i} $$
＝$$ \ppd{x^{i'}}{x^i} $$
＝$$ \ppd{x^j}{x^i} \ppd{x^{i'}}{x^j} $$
＝$$ \beta^{j}_{i} \beta^{i'}_{j} $$
＝$$ \delta^{i'}_{i} $$
$$$
\vec H = \ffd{1}{4 \pi}
\int\! \ffd{\vec r - \vec r \,'}{|\vec r - \vec r \,'|^3} dq
$$$
$$$
\vec H = \ffd{1}{4 \pi}
\int\!\! \ffd{\vec r - \vec r \,'}{|\vec r - \vec r \,'|^3}\, dq
$$$
$$$
a \times b = \sum_{i = 1}^a \sum_{j = 1}^b 1 = \sum_{j = 1}^b \sum_{i = 1}^a 1 = b \times a
$$$
$$$
\sum_{i = 1}^a \sum_{j = 1}^b 1
$$$
$$$
\begin{array}{l}
x^2 + 25x - 144
\\ =\left(x-\ffd{25-\sqrt{1201}}2\right)\left(x-\ffd{25+\sqrt{1201}}2\right)
\end{array}
$$$
$$ abcdefghijklmnopqrstuvwxyz $$
$$ abc dx dy $$
$$ \iro[ak]{c\tau} $$
$$ \iro[ak]{ct} $$
$$ \iro[ao]{vt} $$
$$ \iro[ak]{(c\tau)^2} = \iro[ak]{(ct)^2} - \iro[ao]{(vt)^2} $$
$$ c\tau = \sqrt{c^2 - v^2}\sx t $$
$$ \tau = \sqrt{1 - \ffd{v^2}{c^2}}\sx t $$
$$$
\underbrace{4+4+4+4+4+4}_{5.3}
$$$
$$$
\underbrace{\overbrace{4}^{1\;\;}+\overbrace{4}^{1\;\;}+\overbrace{4}^{1\;\;}+\overbrace{4}^{1\;\;}+\overbrace{4}^{1\;\;}+\overbrace{4}^{0.3\;\;}}_{5.3}
$$$
$$$
4\;\underbrace{\overbrace{\;+\;\;\,4\;}^{1\;\;}\; \overbrace{\;+\;\;\,4\;}^{1\;\;}\; \overbrace{\;+\;\;\,4\;}^{1\;\;}\; \overbrace{\;+\;\;\,4\;}^{1\;\;}\; \overbrace{\;+\;\;\,4\;}^{0.3\;\;}}_{4.3}
$$$
$$ \iro[mr]{\theta} $$$$ \iro[mr]{\:b} $$$$ \iro[ao]{\:b_x} $$$$ \iro[ak]{\:b_y} $$
$$ \iro[gy]{\:a} $$$$ \iro[mr]{\:b'} $$$$ \iro[ao]{\:b_x'} $$$$ \iro[ak]{\:b_y'} $$
$$ \iro[gy]{\:a_x} $$
$$ \iro[gy]{\:a_y} $$
$$$
dh(t) = d(f(t)g(t)) = df(t)g(t) + f(t)dg(t) + df(t)dg(t) = df(t)g(t) + f(t)dg(t)
$$$
$$$
df(t) = d\left(\ffd{h(t)}{g(t)}\right) = \ffd{dh(t)g(t) - h(t)dg(t)}{g(t)^2}
$$$
![[PukiWiki]](image/NekoPunch.png "[PukiWiki]")
