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algebraic-projection-error	${\displaystyle \Vert A\mathbf{p}{\Vert }^2=\sum _i{\mathrm{d}}_{\mathrm{alg}}^2({\mathbf{x}}_i,P{\mathbf{X}}_i)=\sum _i\Vert {\mathbf{x}}_i\times P{\mathbf{X}}_i{\Vert }^2}$
alternatives	${\displaystyle \begin{array}{ccc}\hfill p_{ij}& \hfill =\hfill & \{\begin{array}{cc}\mu \hfill & \text{if }j\text{ can produce }i\hfill \\ 0\hfill & \text{otherwise}\hfill \end{array}\hfill \\ \hfill p_{iX}& \hfill =\hfill & \lambda <\mu \hfill \end{array}}$
arrows	$x\underset{\text{clearly maps to}}{\leftrightarrow }y$
baseline-msqrt	$\sqrt{x+\frac{n}{3}+\frac{\frac{l}{8}}{\frac{p}{6}}}$
baseline	$\frac{x}{7}+\frac{\frac{x}{7}}{4}+x^{\frac{x}{3}}=\frac{n}{\frac{x}{7}}$
Bernoulli	$a-\frac{\frac{x}{2}}{e^x-x}$
binomial	$x^2+\frac{b}{a}x+{\left(\frac{b}{2a}\right)}^2=-\frac{c}{a}+{\left(\frac{b}{2a}\right)}^2$
cauchy	${\left(\sum _{k=1}^n{a}_k^{}{b}_k^{}\right)}_{}^2\le \left(\sum _{k=1}^n{a}_k^2\right)\left(\sum _{k=1}^n{b}_k^2\right)$
DLTrows	${\displaystyle P{\mathbf{X}}_i=\left[\begin{array}{c}\hfill {\mathbf{p}}_1^{\mathrm{T}}{\mathbf{X}}_i\\ \hfill {\mathbf{p}}_2^{\mathrm{T}}{\mathbf{X}}_i\\ \hfill {\mathbf{p}}_3^{\mathrm{T}}{\mathbf{X}}_i\end{array}\right]}$
Ealt2	${\displaystyle \begin{array}{ccc}\hfill {\overrightarrow{{\mathbf{C}}^{\prime }{\hat{x}}^{\prime }}}^T(\overrightarrow{\mathbf{C}{\mathbf{C}}^{\prime }}\times \overrightarrow{\mathbf{C}\hat{x}})& \hfill =\hfill & 0\hfill \\ \hfill {{\hat{\mathbf{x}}}^{\prime }}^T(\mathbf{t}\times (R\hat{\mathbf{x}}))& \hfill =\hfill & 0\hfill \\ \hfill {{\hat{\mathbf{x}}}^{\prime }}^{T}E\hat{\mathbf{x}}& \hfill =\hfill & 0\text{ with }E=[\mathbf{t}{]}_{\times }R\hfill \end{array}}$
Einstein	$E=m{c}^2$
elaborate-likelihood	${\displaystyle \begin{array}{cc}\hfill \hfill & P(\text{patches}|\text{pattern }j)\hfill \\ \hfill =\hfill & P(\forall i:\begin{array}{cc}\hfill n_i& \text{ patches of type }i\text{ from pattern,}\hfill \\ \hfill n_{Ii}-n_i& \text{ patches of type }i\text{ from noise}\hfill \end{array}|\text{pattern }j)\hfill \\ \hfill =\hfill & \prod _{i}P{\left(\text{patch of type }i\right|\text{pattern }j)}^{n_i}\hfill \\ \hfill \hfill & \prod _{i}P{\left(\text{patch of type }i\right|\text{noise})}^{n_{Ii}-n_i}\hfill \\ \hfill =\hfill & \prod _i\left(p_{ij}^{n_i}{p}_{iX}^{n_{Ii}-n_i}\right)\hfill \end{array}}$
eqn1	$x^2+4x+4=0$
example1	$a_0+\frac{1}{a_1+\frac{1}{a_2+\frac{1}{a_3+\frac{1}{a_4}}}}$
example2	$x_{y_b^a}^{z_c^d}$
example3	$\sqrt{1+\sqrt{1+\sqrt{1+\sqrt{1+\sqrt{1+\sqrt{1+\sqrt{1+x}}}}}}}$
example5	$x^{x^{x^{x^2}}}+x_{x_{x_{x_2}}}+\sqrt[2]{\frac{99}{x}+\sqrt[3]{y}}$
Fibonacci	$\frac{f_{n-1}}{f_n}$
Fourier	${\displaystyle \begin{array}{ccc}\hfill F(g(x,y))(u,v)& \hfill =\hfill & \int {\int }_{-\infty }^{\infty }g(x,y)\hspace{0.17em}{\mathrm{e}}^{-i2\pi (ux+vy)}\hspace{0.17em}\mathrm{d}x\mathrm{d}y\hfill \\ \hfill {\mathrm{e}}^{-i2\pi (ux+vy)}& \hfill =\hfill & \cos (2\pi (ux+vy))+i\sin (2\pi (ux+vy))\hfill \end{array}}$
fractest1	$x_1+x_2+x_3=x_4^2$
fractest2	$x=\frac{\frac{1}{2}}{\frac{1}{2}}$
frac	$\frac{2a_b+c}{d}$
F	${\displaystyle \begin{array}{ccc}\hfill {\mathbf{x}}^{\prime }& \hfill =\hfill & H_{\pi }\mathbf{x}\hfill \\ \hfill {\mathbf{l}}^{\prime }& \hfill =\hfill & {\mathbf{e}}^{\prime }\times {\mathbf{x}}^{\prime }\hfill \\ \hfill {\mathbf{l}}^{\prime }& \hfill =\hfill & [{\mathbf{e}}^{\prime }{]}_{\times }{H}_{\pi }\mathbf{x}\hfill \\ \hfill {\mathbf{l}}^{\prime }& \hfill =\hfill & F\mathbf{x}\hfill \end{array}}$
hard	$\frac{\sqrt{\frac{7}{4}}+{\frac{6}{8}}_{\frac{5}{4}}^{\frac{23}{445}}+9_{\frac{1}{2}}-\sqrt[2]{\frac{43}{21}}}{{\frac{6}{8}}_{\frac{5}{4}}^{\frac{23}{445}}+\phantom{9_{\frac{1}{2}}}-\sqrt{59+\frac{43}{21}}}$
intNested3	$\begin{array}{cc}\text{single integral}& \int x\int M\int \frac{x}{o}\int \frac{A}{o}\int \frac{x}{A}\int \frac{A}{M}\int \frac{.}{\mathrm{\text{'}\text{'}}}\\ \text{double integral}& \int \int x\int \int M\int \int \frac{x}{o}\int \int \frac{A}{o}\int \int \frac{x}{A}\int \int \frac{A}{M}\int \int \frac{.}{\mathrm{\text{'}\text{'}}}\\ \text{double nested integral}& \int \int x\int \int M\int \int \frac{x}{o}\int \int \frac{A}{o}\int \int \frac{x}{A}\int \int \frac{A}{M}\int \int \frac{.}{\mathrm{\text{'}\text{'}}}\end{array}$
M5	${\displaystyle {\int }_C\left(\sum _{n=0}^{\infty }{a}_n{z}^n\right)dz=\sum _{n=0}^{\infty }{a}_n{\int }_C{z}^{n}dz}$
math-italic	$\frac{f_n\mathrm{for}\text{ for}}{{𝑓}_{𝑛}\mathrm{𝑓𝑜𝑟}\text{ 𝑓𝑜𝑟}}$
mathml-test-suite-torture-complex1	$\begin{array}{cc}\text{Bernoulli Trials}& P(E)\text{Probability of event E: Get exactly k heads in n coin flips.}=\left(\genfrac{}{}{0ex}{}{n}{k}\right)\text{Number of ways to get exactly k heads in n coin flips}{p\text{Probability of getting heads in one flip}}_{}^{k\text{Number of heads}}{(1-p)\text{Probability of getting tails in one flip}}_{}^{n-k\text{Number of tails}}\\ \text{Cauchy-Schwarz Inequality}& {\displaystyle {\left(\sum _{k=1}^n{a}_k^{}{b}_k^{}\right)}_{}^2\le \left(\sum _{k=1}^n{a}_k^2\right)\left(\sum _{k=1}^n{b}_k^2\right)}\\ \text{Cauchy Formula}& {\displaystyle f(z)·{Ind}_{\gamma }^{}(z)=\frac{1}{2\pi i}\underset{\gamma }{\overset{}{\oint }}\frac{f(\xi )}{\xi -z}d\xi }\\ \text{Cross Product}& V_1^{}\times V_2^{}=\left|\begin{array}{ccc}i& j& k\\ \frac{\partial X}{\partial u}& \frac{\partial Y}{\partial u}& 0\\ \frac{\partial X}{\partial v}& \frac{\partial Y}{\partial v}& 0\end{array}\right|\\ \text{Vandermonde Determinant}& {\displaystyle \left|\begin{array}{cccc}1& 1& \cdots & 1\\ v_1^{}& v_2^{}& \cdots & v_n^{}\\ v_1^2& v_2^2& \cdots & v_n^2\\ ⋮& ⋮& \ddots & ⋮\\ v_1^{n-1}& v_2^{n-1}& \cdots & v_n^{n-1}\end{array}\right|=\prod _{1\le i<j\le n}^{}(v_j^{}-v_i^{})}\\ \text{Lorenz Equations}& \begin{array}{rcl}\underset{}{\overset{\dot{}}{x}}& =& \sigma (y-x)\\ \underset{}{\overset{\dot{}}{y}}& =& \rho x-y-xz\\ \underset{}{\overset{\dot{}}{z}}& =& -\beta z+xy\end{array}\\ \text{Maxwell's Equations}& {\displaystyle \{\begin{array}{rcl}\nabla \text{}\times \underset{}{\overset{\leftharpoonup }{B}}-\frac{1}{c}\frac{\partial \text{}\underset{}{\overset{\leftharpoonup }{E}}}{\partial \text{}t}& =& \frac{4\pi }{c}\underset{}{\overset{\leftharpoonup }{j}}\\ \nabla \text{}·\underset{}{\overset{\leftharpoonup }{E}}& =& 4\pi \rho \\ \nabla \text{}\times \underset{}{\overset{\leftharpoonup }{E}}+\frac{1}{c}\frac{\partial \text{}\underset{}{\overset{\leftharpoonup }{B}}}{\partial \text{}t}& =& \underset{}{\overset{\leftharpoonup }{0}}\\ \nabla \text{}·\underset{}{\overset{\leftharpoonup }{B}}& =& 0\end{array}}\\ \text{Einstein Field Equations}& {\displaystyle R_{\mu \nu }^{}-\frac{1}{2}{g}_{\mu \nu }^{}R=\frac{8\pi G}{c_{}^4}{T}_{\mu \nu }^{}}\\ \text{Ramanujan Identity}& \frac{1}{(\sqrt{\varphi \sqrt{5}}-\varphi )e_{}^{\frac{25}{\pi }}}=1+\frac{e_{}^{-2\pi }}{1+\frac{e_{}^{-4\pi }}{1+\frac{e_{}^{-6\pi }}{1+\frac{e_{}^{-8\pi }}{1+\dots }}}}\\ \text{Another Ramanujan identity}& {\displaystyle \sum _{k=1}^{\infty }\frac{1}{2_{}^{\lfloor k·\text{}\varphi \rfloor }}=\frac{1}{2_{}^0+\frac{1}{2_{}^1+\cdots \frac{1}{2_{}^1+\frac{1}{2_{}^2+\cdots \frac{1}{2_{}^3+\frac{1}{2_{}^5+\dots }}}}}}}\\ \text{Rogers-Ramanujan Identity}& {\displaystyle 1+\sum _{k=1}^{\infty }\frac{q_{}^{k_{}^2+k}}{(1-q)(1-q_{}^2)\cdots (1-q_{}^k)}\frac{q_{}^2}{(1-q)}+\frac{q_{}^6}{(1-q)(1-q_{}^2)}+\cdots =\prod _{j=0}^{\infty }\frac{1}{(1-q_{}^{5j+2})(1-q_{}^{5j+3})}\frac{1}{(1-q_{}^2)(1-q_{}^3)}\times \frac{1}{(1-q_{}^7)(1-q_{}^8)}\times \cdots ,for|q|<1.}\\ \text{Commutative Diagram}& \begin{array}{ccc}H& \leftarrow & K\\ \downarrow & & \uparrow \\ H& \to & K\end{array}\end{array}$
matrix-in-mrow	$\frac{587}{30}+\left(\begin{array}{cccc}\frac{587}{30}& 0& 0& 34895\\ \frac{587}{30}& 1& 684& 0\\ 10598& 0& 1589& \frac{587}{30}\\ 0& 789& \frac{587}{30}& 15698\end{array}\right)$
menclose	$\begin{array}{cc}\text{default}& \overline{)\mathrm{mnaceo}}\\ \text{longdiv}& \overline{)\mathrm{mnaceo}}\\ \text{actuarial}& \overline{\mathrm{mnaceo}\hspace{.2em}|}\\ \text{radical}& \sqrt{\mathrm{mnaceo}}\\ \text{box}& \boxed{\mathrm{mnaceo}}\\ \text{roundedbox}& \boxed{\mathrm{mnaceo}}\\ \text{circle}& \overline{)\mathrm{mnaceo}}\\ \text{left}& \overline{)\mathrm{mnaceo}}\\ \text{right}& \overline{)\mathrm{mnaceo}}\\ \text{top}& \overline{\mathrm{mnaceo}}\\ \text{bottom}& \underline{\mathrm{mnaceo}}\\ \text{updiagonalstrike}& \cancel{\mathrm{mnaceo}}\\ \text{downdiagonalstrike}& \bcancel{\mathrm{mnaceo}}\\ \text{verticalstrike}& \overline{)\mathrm{mnaceo}}\\ \text{horizontalstrike}& \sout{\mathrm{mnaceo}}\\ \text{empty attr}& \overline{)\mathrm{mnaceo}}\\ \text{bad attr}& \overline{)\mathrm{mnaceo}}\\ \text{cross out}& \xcancel{\mathrm{mnaceo}}\\ \text{radical circle}& \overline{)\mathrm{mnaceo}}\\ \text{all sides and all strikes}& \xcancel{\mathrm{mnaceo}}\\ \text{nested roundedbox}& \boxed{\boxed{\mathrm{mnaceo}}}\\ \text{nested circle}& \overline{)\overline{)\mathrm{mnaceo}}}\end{array}$
merror	$x_8+\frac{2567}{98}+y_i^3$
mfrac-in-mrow	$x+\frac{{245}_{\mathrm{subscript}}^2}{{2468}_m^{267}}$
mfrac	$\frac{\frac{2}{9}}{\frac{5}{x}}$
mover2	$\overline{x+a+z}\text{\hspace{0.22em}\hspace{0.05em} vs \hspace{0.22em}\hspace{0.05em}}\overline{x+\frac{a}{x}+z}$
mover3	$\stackrel{\infty }{\sum _0}\text{\hspace{0.22em}\hspace{0.05em} vs \hspace{0.22em}\hspace{0.05em}}\sum _0^{\infty }$
mover4	$\stackrel{\infty }{\underset{0}{4}}\text{\hspace{0.22em}\hspace{0.05em} vs \hspace{0.22em}\hspace{0.05em}}\underset{0}{\overset{\infty }{4}}$
mphantom	$\frac{x_8+\frac{2567}{98}+y^3}{x_8+\phantom{\frac{2567}{98}}+y^3}$
mroot-in-mrow	$x+\sqrt[2]{\frac{245}{\text{denominator}}}$
mroot-with-mfrac	$\sqrt[2]{\frac{245}{x}+\sqrt[3]{y}}$
mroot	$\sqrt[2]{245}$
mrow	$245+\mathrm{identifier}$
mspace	$1+23$
msqrt1	$x=\sqrt{3}$
msqrt2	$\frac{x}{e^x-x}$
msqrt3	$x=\sqrt{A+\frac{w+\frac{m^8}{\sqrt{2}}}{i^{\frac{1}{2}}}}+\frac{\frac{a_i}{2}}{\frac{a_i}{5}}$
msqrt-in-mrow	$\mathrm{mml}+\sqrt{245+\mathrm{identifier}}$
msqrt	$\sqrt{245+\mathrm{identifier}}$
msub-in-mrow	$\mathrm{mml}+x_{x_{x_2}}$
msubsup1	$x_i^3$
msubsup2	$x_i^{3_9^n}$
msubsup-in-mrow	$\mathrm{mml}+x_2^3$
msubsup	$x=a^2{a}_2{l}_2^2$
msub	$x_{x_{x_2}}$
msup-in-mrow	$\mathrm{mml}+x^{x^{x^{x^2}}}$
msup	$x^{x^{x^{x^2}}}$
mtable	$\begin{array}{cccc}\frac{587}{30}& 358& 0& 34895\\ \frac{587}{30}& 1& 684& 12\\ 10598& 0& 1589& \frac{587}{30}\\ 0& 789& \frac{587}{30}& 15698\end{array}$
munder	$\underbrace{x+y+z}\text{\hspace{0.22em}\hspace{0.05em} vs \hspace{0.22em}\hspace{0.05em}}\underbrace{x+y+z}$
Newton1	$T_1=-\frac{1}{k}\sqrt{\frac{s_1}{2}}\sqrt{s_1{s}_0-{s_0}^2}-\frac{1}{k}{\left(\frac{s_1}{2}\right)}^{\frac{3}{2}}\left[\pm \frac{\pi }{2}-{\sin }^{-1}\left(\frac{2s_0-s_1}{s_1}\right)\right]$
primes2	$x_{}^{\prime }{X}_{}^{\prime }{x}_1^{\prime }{X}_1^{\prime }{x}^{\prime }{X}^{\prime }x\prime X\prime$
primesrec	$x^{\prime }{x}^{\prime }$
primes	$x^{\prime }{X}^{\prime }x\prime X\prime \mathrm{x\text{'}}\mathrm{X\text{'}}$
projection	${\displaystyle \begin{array}{ccc}\hfill \mathbf{x}& \hfill =\hfill & P\mathbf{X}\hfill \\ \hfill P& \hfill =\hfill & KR[I|-\mathbf{c}]\mathrm{\hspace{0.17em}\hspace{0.17em}}=\mathrm{\hspace{0.17em}\hspace{0.17em}}K[R|\mathbf{t}]\hfill \end{array}}$
quadratic	$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$
reprojection-error	${\displaystyle \sum _i({\mathrm{d}}_{\mathrm{Maha}}^2({\mathbf{x}}_i,{\hat{\mathbf{x}}}_i)+{\mathrm{d}}_{\mathrm{Maha}}^2({\mathbf{X}}_i,{\hat{\mathbf{X}}}_i))}$
rotation	${\displaystyle {\mathbf{x}}^{\prime }=\left[\begin{array}{cc}\hfill \cos \theta & \hfill \sin \theta \\ \hfill -\sin \theta & \hfill \cos \theta \end{array}\right]\mathbf{x}}$
shift	${\displaystyle R(\mathbf{f})=R(\sum _i{f}_i\hspace{0.17em}\mathrm{shift}({\mathbf{e}}_0,i))=\sum _i{f}_i\hspace{0.17em}\mathrm{shift}(R({\mathbf{e}}_0),i)}$
sigma-algebra	${\displaystyle \begin{array}{ccc}\hfill & \hfill \hfill & \hfill \varnothing \in \mathfrak{F}\\ \hfill S_1\in \mathfrak{F}& \hfill \Rightarrow \hfill & \hfill \overline{S_1}=\Omega -S_1\in \mathfrak{F}\\ \hfill \text{countable }{S}_i\in \mathfrak{F}& \hfill \Rightarrow \hfill & \hfill \bigcup _i{S}_i\in \mathfrak{F}\end{array}}$
size-multiplier	$x^{x^{x^{x^2}}}+x^{x^{x^{x^2}}}$
size_reduction	$x^{x^{x^{x^2}}}$
stretchy-asymm-msubsup	$1+({\int }_a^c\frac{1}{2}+\frac{\frac{2}{\frac{3}{4}}}{1})$
stretchy-asymm	$1+(\underset{a}{\int }\frac{1}{2}+\frac{\frac{2}{\frac{3}{4}}}{1})$
stretchy-symmetric-example	$1+(\underset{a}{\int }\frac{1}{2}+\frac{\frac{2}{\frac{3}{4}}}{1})+(\underset{a}{\int }\frac{1}{2}+\frac{\frac{2}{\frac{3}{4}}}{1})$
stretchy	$(\underset{a}{\int }\frac{1}{\frac{2}{\frac{3}{4}}}+\frac{\frac{2}{\frac{3}{4}}}{1})$
Swarzchild2	$\frac{dr}{dt}=-\sqrt{\frac{B^2\left(r\right)}{A\left(r\right)}\left[\frac{1}{B\left(r\right)}-E-\frac{J^2}{r^2}\right]}$
tokens_width	$245+\mathrm{toto}=5642$