Sandbox

Math test

[math]E=mc^2[/math]

$e^{i\phi} = \cos\phi + i\sin\phi$

[math]전압 = 전류 \times 저항[/math]

[math]償還までの合計利回り =\left(1+\frac{期間利率}{100}\right)^{期間}[/math]

Lorenz equations

[math]\begin{align} \dot{x} & = \sigma(y-x) \\ \dot{y} & = \rho x - y - xz \\ \dot{z} & = -\beta z + xy \end{align}[/math]

Maxwell's equations in Gaussian unit

[math]\begin{align} \nabla \times \vec{\mathbf{B}} -\, \frac1c\, \frac{\partial\vec{\mathbf{E}}}{\partial t} & = \frac{4\pi}{c}\vec{\mathbf{j}} \\ \nabla \cdot \vec{\mathbf{E}} & = 4 \pi \rho \\ \nabla \times \vec{\mathbf{E}}\, +\, \frac1c\, \frac{\partial\vec{\mathbf{B}}}{\partial t} & = \vec{\mathbf{0}} \\ \nabla \cdot \vec{\mathbf{B}} & = 0 \end{align}[/math]

Chem test

• [math]\ce{Hg^2+ ->[I-] HgI2 ->[I-] [Hg^{II}I4]^2-}[/math]
• [math]\ce{CrO4^2-}[/math]
• [math]\ce{^227_90Th+}[/math]
• [math]\ce{CH4 + 2 $\left( \ce{O2 + 79/21 N2} \right)$}[/math]
• [math]\ce{x Na(NH4)HPO4 ->[\Delta] (NaPO3)_x + x NH3 ^ + x H2O}[/math]