Sandbox

testing

this is some inline math $\textstyle R^{n}\Rightarrow R^{n}$ to test things out.

$\int _{i=0}^{20}\sin \theta ^{\phi }\ dx$

$x\otimes y={\tilde {y}}{\tilde {x}}+x\cdot y\mathbf {1}$

${\tilde {x}}{\tilde {y}}=y\otimes x-x\cdot y\mathbf {1}$

Some test text to go next to an svg image...hopefully.

${\begin{array}{lcr}{\mbox{First number}}&x&8\\{\mbox{Second number}}&y&15\\{\mbox{Sum}}&x+y&23\\{\mbox{Difference}}&x-y&-7\\{\mbox{Product}}&xy&120\end{array}}$

$|x|=\left\{{\begin{array}{ll}\;x&{\mbox{if}}\ x\geq 0;\\-x&{\mbox{if}}\ x<0.\end{array}}\right.$

${\begin{array}{lcr}{\mbox{alpha}}&\alpha \\{\mbox{beta}}&\beta \\{\mbox{gamma}}&\gamma \\{\mbox{delta}}&\delta \\{\mbox{epsilon}}&\epsilon \\{\mbox{varepsilon}}&\varepsilon \\{\mbox{zeta}}&\zeta \\{\mbox{eta}}&\eta \\{\mbox{theta}}&\theta \\{\mbox{vartheta}}&\vartheta \\{\mbox{iota}}&\iota \\{\mbox{kappa}}&\kappa \\{\mbox{lambda}}&\lambda \\{\mbox{mu}}&\mu \\{\mbox{nu}}&\nu \\{\mbox{xi}}&\xi \\{\mbox{o}}&o\\{\mbox{pi}}&\pi \\{\mbox{varpi}}&\varpi \\{\mbox{rho}}&\rho \\{\mbox{varrho}}&\varrho \\{\mbox{sigma}}&\sigma \\{\mbox{varsigma}}&\varsigma \\{\mbox{tau}}&\tau \\{\mbox{upsilon}}&\upsilon \\{\mbox{phi}}&\phi \\{\mbox{varphi}}&\varphi \\{\mbox{chi}}&\chi \\{\mbox{psi}}&\psi \\{\mbox{omega}}&\omega \end{array}}$

${\begin{array}{lcr}{\mbox{Gamma}}&\Gamma \\{\mbox{Delta}}&\Delta \\{\mbox{Theta}}&\Theta \\{\mbox{Lambda}}&\Lambda \\{\mbox{Xi}}&\Xi \\{\mbox{Pi}}&\Pi \\{\mbox{Sigma}}&\Sigma \\{\mbox{Upsilon}}&\Upsilon \\{\mbox{Phi}}&\Phi \\{\mbox{Psi}}&\Psi \\{\mbox{Omega}}&\Omega \end{array}}$

$\alpha \beta \gamma \delta \epsilon \varepsilon \zeta \eta \theta \vartheta \iota \kappa \lambda \mu \nu \xi o\pi \varpi \rho \varrho \sigma \varsigma \tau \upsilon \phi \varphi \chi \psi \omega \Gamma \Delta \Theta \Lambda \Xi \Pi \Sigma \Upsilon \Phi \Psi \Omega$

$\alpha$ $\beta$ $\gamma$ $\delta$ $\epsilon$ $\varepsilon$ $\zeta$ $\eta$ $\theta$ $\vartheta$ $\iota$ $\kappa$ $\lambda$ $\mu$ $\nu$ $\xi$ $o$ $\pi$ $\varpi$ $\rho$ $\varrho$ $\sigma$ $\varsigma$ $\tau$ $\upsilon$ $\phi$ $\varphi$ $\chi$ $\psi$ $\omega$ $\Gamma$ $\Delta$ $\Theta$ $\Lambda$ $\Xi$ $\Pi$ $\Sigma$ $\Upsilon$ $\Phi$ $\Psi$ $\Omega$

$x=3$