TSSFL TECHNOLOGY STACK

MathJax is great!

\(\text{Lattice} = \begin{matrix}
&& \Bbb Q(\sqrt{2},i) & \\
&\huge\diagup & \huge| & \huge\diagdown \\
\Bbb Q(\sqrt{2}) & & \Bbb Q(i\sqrt{2})& & \Bbb Q(i)\\
&\huge\diagdown & \huge| & \huge\diagup \\
&&\Bbb Q
\end{matrix}\)

Again,

\( \begin{align}
\sqrt{37} & = \sqrt{\frac{73^2-1}{12^2}} \\
& = \sqrt{\frac{73^2}{12^2}\cdot\frac{73^2-1}{73^2}} \\
& = \sqrt{\frac{73^2}{12^2}}\sqrt{\frac{73^2-1}{73^2}} \\
& = \frac{73}{12}\sqrt{1 - \frac{1}{73^2}} \\
& \approx \frac{73}{12}\left(1 - \frac{1}{2\cdot73^2}\right)
\end{align}\)

\(\huge f(x) = \int_{-\infty}^\infty
\hat f(\xi)\,e^{2 \pi i \xi x}
\,d\xi\)


\begin{align}\Huge f(x) = \int_{-\infty}^\infty
\hat f(\xi)\,e^{2 \pi i \xi x}
\,d\xi\end{align}

$$
\begin{array}{r}

x - \frac{3}{2}\phantom{1} \\

2x^2 - x - 1{\overline{\smash{\big)}2x^3 -4x^2 +7x -5\phantom{1}}} \\

\underline{2x^3 - \phantom{4}x^2 - 7x \phantom{,-5}\phantom{1}} \\

-3x^2 +8x -5\phantom{1} \\

\underline{-3x^2 + \frac{3}{2}x + \frac{13}{2}} \\

-\frac{13}{2}x -\frac{13}{2}

\end{array}
$$