User talk:Catslash/Sandbox

Accents/diacritics on symbols using unicode combining marks/characters

${\displaystyle {\hat {u}}+{\tilde {v}}+{\bar {w}}+\mathbf {\hat {x}} +\mathbf {\hat {y}} +\mathbf {\hat {z}} +{\grave {E}}+{\acute {E}}+{\hat {E}}+{\tilde {E}}+{\bar {E}}+{\overline {E}}+{\breve {E}}+{\dot {E}}+{\ddot {E}}+{\check {E}}+{\vec {E}}+{\stackrel {...}{E}}+{\stackrel {....}{E}}+{\stackrel {\leftrightarrow }{E}}=1}$

${\displaystyle {\dot {\omega }}}$

${\displaystyle f^{(2)}(x)=0}$

${\displaystyle f''(x)=0}$

${\displaystyle \left.{\begin{aligned}a&=b\\&=c\\&=d\\&{\phantom {=}}\vdots \\&=z\end{aligned}}\right\}25{\text{ lines}}}$

${\displaystyle \left\|{\frac {x}{2}}\right\|=\left|{\frac {x}{2}}\right|}$

More than one accent ${\displaystyle {\dot {\hat {M}}}=\mathrm {stupidity} =\mathrm {a{\ddot {\dot {c}}}e} }$

${\displaystyle \mathbf {\hat {x}} \cdot \mathbf {\hat {y}} =\mathbf {\hat {y}} \cdot \mathbf {\hat {z}} =\mathbf {\hat {z}} \cdot \mathbf {\hat {x}} =0}$

${\displaystyle {\begin{aligned}L&={\frac {1}{6}}l^{2}m(4{\dot {\theta }}_{1}^{2}+{\dot {\theta }}_{2}^{2}+3{\dot {\theta }}_{1}{\dot {\theta }}_{2}(\cos(\theta _{1})\cos(\theta _{2})+\sin(\theta _{1})\sin(\theta _{2})))+{\frac {1}{2}}mgl(3\cos(\theta _{1})+\cos(\theta _{2}))\\&={\frac {1}{6}}l^{2}m(4{\dot {\theta }}_{1}^{2}+{\dot {\theta }}_{2}^{2}+3{\dot {\theta }}_{1}{\dot {\theta }}_{2}\cos(\theta _{1}-\theta _{2}))+{\frac {1}{2}}mgl(3\cos(\theta _{1})+\cos(\theta _{2}))\end{aligned}}}$

${\displaystyle {\begin{aligned}L&={\frac {1}{6}}l^{2}m(4{{\dot {\theta }}_{1}}^{2}+{{\dot {\theta }}_{2}}^{2}+3{\dot {\theta }}_{1}{\dot {\theta }}_{2}(\cos(\theta _{1})\cos(\theta _{2})+\sin(\theta _{1})\sin(\theta _{2})))+{\frac {1}{2}}mgl(3\cos(\theta _{1})+\cos(\theta _{2}))\\&={\frac {1}{6}}l^{2}m(4{{\dot {\theta }}_{1}}^{2}+{{\dot {\theta }}_{2}}^{2}+3{\dot {\theta }}_{1}{\dot {\theta }}_{2}\cos(\theta _{1}-\theta _{2}))+{\frac {1}{2}}mgl(3\cos(\theta _{1})+\cos(\theta _{2}))\end{aligned}}}$

Combining subscripts and superscripts

<math>e^x^2</math> gives a parser error

${\displaystyle e_{2}^{x}}$

<math>e_x_2</math> gives a parser error

${\displaystyle e_{x}^{2}}$

<math>e_x^y_2</math> gives a parser error

${\displaystyle {e^{x}}^{2}}$

${\displaystyle e^{x^{2}}}$

${\displaystyle e^{x}y_{2}}$

${\displaystyle r={\sqrt {x^{2}+c^{2}}}}$ ${\displaystyle \int r^{n}\partial x={\begin{cases}{\displaystyle {\frac {1}{(n+2)c^{2}}}\left(-xr^{n+2}+(n+3)\int r^{n+2}\partial x\right),}&{\text{if }}n\leqslant -3\\{\displaystyle {\frac {1}{c}}\arctan \left({\frac {x}{c}}\right),}&{\text{if }}n=-2\\{\displaystyle \mathrm {arcsinh} \left({\frac {x}{c}}\right),}&{\text{if }}n=-1\\{\displaystyle {\frac {1}{n+1}}\left(xr^{n}+nc^{2}\int r^{n-2}\partial x\right),}&{\text{if }}n\geqslant 0\end{cases}}}$ ${\displaystyle \int xr^{n}\partial x={\begin{cases}{\displaystyle {\frac {1}{(n+2)c^{2}}}\left(-x^{2}r^{n+2}+(n+4)\int xr^{n+2}\partial x\right),}&{\text{if }}n\leqslant -3\\{\displaystyle \ln(r),}&{\text{if }}n=-2\\{\displaystyle r,}&{\text{if }}n=-1\\{\displaystyle {\frac {1}{n+2}}\left(x^{2}r^{n}+nc^{2}\int xr^{n-2}\partial x\right),}&{\text{if }}n\geqslant 0\end{cases}}}$