User:Amit6/sandbox58

$$\frac{16}{9}\div {\color{green}\frac{704}{576}}={\color{red}\frac{16}{11}}$$

$$\frac{16}{9}\div \frac{704}{576}={\frac{16}{11}}$$

$$\Alpha \Beta \Gamma \Delta \Epsilon \Zeta \Eta \Theta \Iota \Kappa \Lambda \Mu \Nu \Xi \Omicron \Pi \Rho \Sigma \Tau \Upsilon \Phi \Chi \Psi \Omega \!$$

$$\alpha \beta \gamma \delta \epsilon \zeta \eta \theta \iota \kappa \lambda \mu \nu \xi \omicron \pi \rho \sigma \tau \upsilon \phi \chi \psi \omega \!$$

$$dt, \operatorname{d}t, \partial t, \nabla\psi\!$$

$$\surd, \sqrt{2}, \sqrt[n]{}, \sqrt[3]{x^3+y^3 \over 2} \!, \sqrt[3]{\alpha^3+\beta^3 \over 2} \!$$

$$\sqrt[n]{x^3+y^3 \over 2} \!, \sqrt[n]{\alpha^3+\beta^3 \over 2} \!$$

$$\ln c, \lg d = \log e, \log_{10} f \!$$

$$\ln n = \log_{e} n = \frac{\log_{10} n}{\log_{10} e} \!$$

$$\exp_a b = a^b, \exp b = e^b, 10^m \!$$

$$\sin a, \cos b, \tan c, \cot d, \sec e, \csc f, \arcsin h, \arccos i, \arctan j \!$$

$$\operatorname{sh}\,k, \operatorname{ch}\,l, \operatorname{th}\,m, \operatorname{coth}\,n \!$$

$$\alpha=\frac{1}{\left(1-u^2/c^2\right)^{3/2}}\frac{du}{dt} \!$$

$$r = \frac{1}{u} = \frac{ h^2 / GM }{1 + e \cos (\theta - \theta_0)} \!$$

$$A = \frac{3 \sqrt{3}}{2}t^2 \simeq 2.5980762113533 t^2 \!$$

$$y = \sqrt[n^{\alpha}]{x_{a_i}^{n + 1}+x_{b_i}^{n - 1} \over 2} \!$$

$$\begin{align} f(x) & = (a+b)^2 \\ & = a^2+2ab+b^2 \\ & = a^2-2ab+b^2+4ab \\ & = (a-b)^2+4ab \\ (a+b)^2 & = (a+b)^2 \\ f(x) & = (a+b)^2 \\ \end{align}$$

Area of a regular polygon (with t=edge length)


 * $$A = \frac{1}{4} nt^2 \cot \frac{\pi}{n} \!$$