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console.log('Hello World');

The Pythagorean theorem states that $c = \pm\sqrt{a^2 + b^2}$ for a right triangle.

Einstein's famous equation: $E = mc^2$

The quadratic formula:

x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

Taylor Expansion (expressing holomorphic function $f(x)$ in power series):

\displaystyle {\begin{aligned}T_{f}(z)&=\sum _{k=0}^{\infty }{\frac {(z-c)^{k}}{2\pi i}}\int _{\gamma }{\frac {f(w)}{(w-c)^{k+1}}}\,dw\\&={\frac {1}{2\pi i}}\int _{\gamma }{\frac {f(w)}{w-c}}\sum _{k=0}^{\infty }\left({\frac {z-c}{w-c}}\right)^{k}\,dw\\&={\frac {1}{2\pi i}}\int _{\gamma }{\frac {f(w)}{w-c}}\left({\frac {1}{1-{\frac {z-c}{w-c}}}}\right)\,dw\\&={\frac {1}{2\pi i}}\int _{\gamma }{\frac {f(w)}{w-z}}\,dw=f(z),\end{aligned}}

The Cauchy integral formula:

\displaystyle S[{\boldsymbol {q}}]=\int _{a}^{b}L(t,{\boldsymbol {q}}(t),{\dot {\boldsymbol {q}}}(t))\,dt.