Test のバックアップ(No.21) < 凌宮数学 (LimgMath)

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左＋分子分母＋右

左－分子分母－右

左＝分子分母＝右

左＝ $$ A $$ 個 $$ B $$ 本＝右

左＝ $$ A $$ 個 $$ B $$ 本 $$ C $$ 個 $$ D $$ 本＝右

$A\frac{\text{分子}Y}{\text{分母}X}$

${\mathfrak d}$ ${\mathcal d}$

$$ A+B=C $$ $$ B+A=C $$ $$ C-A=B $$ $$ C-B=A $$

$$ A^B=C $$ $$ B^A=C $$ $\log_A C = B$ $\log_B C = A$ $\rt[B]C = A$ $\rt[A]C = B$

$\ffd89 \div \ffd23 = \ffd{\overset{4}{\cancel{8}}}{9} \div \ffd{\overset{1}{\cancel{2}}}{3} = \ffd{4}{\underset{3}{\cancel{9}}} \div \ffd{1}{\underset{1}{\cancel{3}}} = \ffd43$

$\ffd89 \times \ffd23 = \ffd{8\times2}{9\times3} = \ffd{16}{27}$ $\ffd89 \div \ffd23 = \ffd{\overset{4}{\cancel{8}}\div\cancel{2}}{\underset{3}{\bcancel{9}}\div\bcancel{3}} = \ffd{4}{3}$ $\ffd34$ $\div$ $$ 6 $$ $\times$ $$ 4 $$ $$ = $$ $$ 3 $$ $\ffd43$ $$ 1 $$ $$ 8 $$

$6^3 =\underset{i,j,k \,\in\, [1,6]}{\sum\sum\sum}1$ ${}_6\mathrm{P}_3 =\underset{i \neq j \neq k \neq i}{\underset{i,j,k \,\in\, [1,6]}{\sum\sum\sum}}1$ ${}_6\mathrm{C}_3 =\underset{i < j < k}{\underset{i,j,k \,\in\, [1,6]}{\sum\sum\sum}}1$

$N =\underset{i \neq j \,\land\, j \neq k \,\land\, k \neq i}{\underset{i,j,k \,\in\, [1,6]}{\sum\sum\sum}}1$

$\sum_{i=0}^{n} 10^i$

$\pi r$ $2 \pi r$ $$ r $$ $\pi r^2$ $$ h $$ $2 \pi r h$ $a = r \theta$ $$ h $$ $$ x $$ $$ y $$ $$ z $$ $$ 0 $$ $$ 1 $$ $S_{xy}$ $S_{zy}$ $S_{xz}$ $V_{xy}$ $V_{zy}$ $V_{xz}$

$\iro[ak]\alpha$ $\iro[ao]\beta$ $\iro[mr]{\alpha - \beta}$ $\iro[ak]{A = (\cos\alpha, \sin\alpha)}$ $\iro[ao]{B = (\cos\beta , \sin\beta )}$ $\iro[mr]{C = A + B}$ $\iro[md]{O}$ $\iro[md]{1}$ $\iro[md]{x}$ $\iro[md]{y}$ $\iro[mr]{S}$

$\lim_{n\to\infty} \ffd{n\sin(360^\circ/n)}{2} = \pi \,\Longrightarrow\, \lim_{\theta\to0} \ffd{360^\circ\sin\theta}{2\theta} = \pi$

$\lim_{n\to\infty} \ffd{n\sin(1_c/n)}{2} = \pi \,\Longrightarrow\, \lim_{\theta\to0} \ffd{1_c\sin\theta}{2\theta} = \pi$

$\lim_{n\to\infty} \ffd{n\sin(360^\circ/n)}{2} = \pi \,\Longrightarrow\, \lim_{\theta\to0} \ffd{360\sin^\circ\theta}{2\theta} = \pi$