wwrite notes in Jade using // or brainfuck with #
#$\sum_{i=0}^n i^2 = \frac{(n^2+n)(2n+1)}{6}$

#$\alpha\Omega\omega$   $\epsilon ,\varepsilon, \phi, \varphi , \ell$

#$ x_i^2 10^{10}$

#$\{ and \}$

#$\frac{a+1}{b+1}$

#$(2+3)[4+4]$


#$\left(\frac{\sqrt x}{y^3}\right)$

#$\vert x\vert$    $\Vert x\Vert$

#$\langle and \rangle $

#$\lceil and \rceil$ $\lfloor and \rfloor$

#$\left( x \middle({\frac{billieboo}{boo}} \middle)y  \right) $ 

#$ \left.\frac12\right\rbrace$

#$\Biggl(\biggl(\Bigl(\bigl((x)\bigr)\Bigr)\biggr)\Biggr)$

#$ \sum and \int$  $\sum_1^n$

#$ \prod, \int, \bigcup, \bigcap, \iint, \iiint, \idotsint$

#$\Bbb Z$

#$\mathbf B , \mathit I , \pmb S , \mathtt T , \mathrm R , \mathcal C , \mathscr F \mathfrak G$

#$\sqrt{x^3}$

#$ {...}^{1/2}$

#$ \lim, \sin \lim_{x\to 0}$

#$\operatorname{foo}(x)$

#$\lt, \gt ,\le, \leq ,\leqq ,\leqslant ,\ge ,\geq, \geqq ,\geqslant, \neq $

. You can use \not to put a slash through almost anything: \not\lt ≮
but it often looks bad.
#$\times \div \pm \mp $

#$x\cdot y$


#$\cup \cap \setminus \subset \subseteq \subsetneq \supset \in \notin \emptyset \varnothing$

#$\binom{n+1}{2k}$

#$\to , \rightarrow , \leftarrow , \Rightarrow , \Leftarrow , \mapsto $

#$\land , \lor , \lnot , \forall , \exists,  \top , \bot , \vdash , \vDash $

#$ \star \ast \oplus \circ \bullet $

#$\approx , \sim , \simeq , \cong , \equiv , \prec , \lhd , \therefore $

#$\infty \aleph_0 $

#$\nabla \partial$

#$\Im \Re $

#$ a\equiv b\pmod n$

#$a,b,c,d,\ldots, z 1+2+3+ \cdots +n$

#$\hat x, \widehat {xy}$

#$\bar x  , \overline {xyz}  , \vec x  , \overrightarrow {xy} , \overleftrightarrow {xy} $

#$\dot x \ and \  \ddot x$ 

#space is using \  , newline using \\

#$ \$ $

#$\backslash$

#$\_$

#$_5C_3$

# $$    \begin{matrix} 1 & x & x^2 \\ 1 & y & y^2 \\ 1 & z & z^2 \\ \end{matrix}$$  

#$$\begin{pmatrix} 1 & x \\  1 & y\\ \end{pmatrix}$$  permutation

#$$\begin{bmatrix} 1 & x \\  1 & y\\ \end{bmatrix}$$  box

#$$\begin{vmatrix} 1 & x \\  1 & y\\ \end{vmatrix}$$  vector, for dbl use Vmatrix

#$ \cdots , \ddots , \vdots$

#$$ \left[ \begin{array}{cc|c} 1&2&3\\ 4&5&6 \end{array} \right] $$

#$$ \begin{pmatrix} a & b\\ c & d\\ \hline 1 & 0\\ 0 & 1 \end{pmatrix} $$

# $\bigl( \begin{smallmatrix} a & b \\ c & d \end{smallmatrix} \bigr)$

#$$  f(n) = \begin{cases} n/2,  & \text{if $n$ is even} \\ 3n+1, & \text{if $n$ is odd} \end{cases} $$

#$$\left. \begin{array}{l} \text{if $n$ is even:}&n/2\\ \text{if $n$ is odd:}&3n+1 \end{array}\ \right\} =f(n)$$

#$$ \begin{array}{c|lcr} n & \text{Left} & \text{Center} & \text{Right} \\ \hline 1 & 0.24 & 1 & 125 \\ 2 & -1 & 189 & -8 \\ 3 & -20 & 2000 & 1+10i \end{array} $$

#$\cancel{x} , \cancelto{0}{x}$

#$\fbox A$

#$\underbrace{a\cdot a\cdots a}_{b\text{ times}}$

#$X\overset{a}{\underset{b}{\to}}Y$

#$\overset{ \huge\frown}{PQ}$

#$ \  \begin{CD} A @>{\text{very long label}}>> B\\ @V b V V = @VV c V\\ C @>>d> D \end{CD} $

#$a1+ \cfrac{12345}{ a2 +  \cfrac{1234444444}{122222222}}$



#$ a+y^3 \stackrel{\eqref{1}}= x^2 \tag{0} $

#$a := x^2-y^3 \tag{1}$