image imagewidth (px) 4 512 | latex stringlengths 1 188 | sample_id stringlengths 16 16 | split_tag stringclasses 1
value | data_type stringclasses 1
value |
|---|---|---|---|---|
(\begin{matrix}7\\ 2\end{matrix})=6\times\frac{7}{2}=21 | 4e66cf2133ac318b | train | human | |
\hat{S}_{a} | 9857a3046175b84b | train | human | |
C=-\sqrt{2}+\sqrt{3} | 9247b4b9212304d9 | train | human | |
y_{R}(t)-y_{L}(t) | 0ddeb1a6c3e0934d | train | human | |
\tilde{\chi} | 752a64975dc8a366 | train | human | |
C=\frac{\partial P}{\partial\rho} | afa1fa05aefec0b1 | train | human | |
\sqrt{2}\lambda/4 | fbb7b7d73d711c5c | train | human | |
\frac{m}{\sqrt{\frac{w^{2}}{l^{2}}-1}} | b4dc16d4cf51ad74 | train | human | |
(\frac{g}{f}) | 377e767c29dcb5e0 | train | human | |
\sqrt{\frac{\sum{P_{i}}^{5}}{n}} | 7f18322f5c10b081 | train | human | |
[\begin{matrix}a&b\\ c&d\\ \end{matrix}] | a5df30d4176359c0 | train | human | |
4^{\sqrt{8}}+10-\frac{10}{9}-8 | aef23e154ce6cfda | train | human | |
(\begin{matrix}n-1\\ n-x\end{matrix}) | 585f9f0a9c798f6b | train | human | |
\tilde{x} | 7a196e2b96bba33c | train | human | |
(\frac{7}{2}+201)^{4-9} | 3cc45cc1fe678fb0 | train | human | |
\frac{\partial B}{\partial G} | edcbf0716a66f436 | train | human | |
053^{053^{053^{053^{057}}}} | 0f937d81940d56e1 | train | human | |
\frac{k_{i}}{n\Delta} | 63acf6e6977812e9 | train | human | |
\Phi(r_{1}) | e3d5455f495f6ec5 | train | human | |
f_{r}^{\prime}(0)=+\infty | 84b3c04638d7f91c | train | human | |
\frac{(331/294)\cdot463}{\frac{\frac{13}{8}}{2}} | c89313d079638c40 | train | human | |
\frac{\partial}{\partial x}f(x,t) | 0ea79f25741ec04a | train | human | |
d\approx3.57\sqrt{h} | 4267d4ec371fcdee | train | human | |
\frac{dx}{dt} | 33e46cdbe6307fa3 | train | human | |
\sum_{i=1}^{n}\frac{1}{i}=H_{n} | 57036db8879e6c8f | train | human | |
A_{I}:=\bigcap_{i\in I}A_{i} | 8315fa164cdcb0c6 | train | human | |
\frac{\sqrt{x+2}}{x^{2}-3} | d34d7c80fdfe99d9 | train | human | |
\frac{L}{m}<1.3 | 2067856f5793f6c7 | train | human | |
\hat{\pi}_{\psi^{T}} | 73f35c8fa0418dcf | train | human | |
(\begin{matrix}x\\ k\end{matrix}) | d038979daeba7cf3 | train | human | |
\int_{a}^{\infty} | f540f0bb9e36f8fb | train | human | |
|x2-x1|=jd|s| | f9535dd6d3ed5ff8 | train | human | |
V_{ind}=-\frac{d\phi}{dt} | 3ab5b65b641ea3eb | train | human | |
\hat{f}(x) | 0ec6152d7ac4a580 | train | human | |
L_{\omega_{1},\omega}(Q) | 00cac12a4671c258 | train | human | |
\int_{0}^{\infty}f_{a}dx | 0a007e19d6a9ed1f | train | human | |
N=1,2,3,... | 0d1961cdad286ef1 | train | human | |
\frac{\partial L}{\partial q}=0 | 7da51373e818e71b | train | human | |
\frac{dT}{dt}=0 | 14136fdf055ad983 | train | human | |
2((\begin{matrix}n\\ 1\end{matrix})+(\begin{matrix}n\\ 2\end{matrix})+(\begin{matrix}n\\ 3\end{matrix})) | bbf645d42ebfa0fe | train | human | |
\frac{1}{P}\frac{dP}{dt}=k | 4057a4e3297be65c | train | human | |
(\begin{matrix}3&5\\ 6&-1\end{matrix}) | d01e53b11f2f72a4 | train | human | |
A\notin D(u,p) | 247a6a63e00210f0 | train | human | |
T_{C}=\frac{8a}{27bR} | bc509bcb38d08328 | train | human | |
\eta=\frac{9}{2}\frac{1}{(1-\frac{a^{3}}{b^{3}})\mu} | 84fd016f1ff9fe19 | train | human | |
\frac{d\nu}{dJ} | b41dbcd185f3314b | train | human | |
lim_{x_{1}\rightarrow x_{2}} | ce91bc525cb31f08 | train | human | |
|-z\rangle\otimes|+z\rangle | c7677c67f0d5bb2a | train | human | |
2e^{-\frac{m\epsilon^{2}}{8}} | 5dcd435d391cdde8 | train | human | |
sin(\theta+\frac{\pi}{2})=cos(\theta) | 6683357707da40f7 | train | human | |
\int_{0}^{1}n(x)dx | 42591339c6c170cb | train | human | |
D_{a}\tilde{E}_{i}^{a}=0 | e436e4b34a60fe82 | train | human | |
I_{z}=\frac{3mr^{2}}{10} | 9cf4d1e7cd1e4cc7 | train | human | |
\tilde{x}(t) | 677ec5eaa88116ca | train | human | |
[\begin{matrix}1&0\\ 0&-1\end{matrix}] | 01fc5c79f8997b3d | train | human | |
Q=\sqrt{\frac{{H_{0}}^{7}J_{1}}{H_{7}H_{4}J_{7}}} | 907a189e6c9d0a2c | train | human | |
\partial_{n}\sigma_{n}(\Delta^{n}) | eda1da3d8a4399bb | train | human | |
\epsilon_{0}=\phi^{\phi^{\phi^{-^{-^{-}}}}} | 135d7e28422649a8 | train | human | |
\underline{\varphi} | c1106b1a8ca9ddc6 | train | human | |
F=E+\frac{\partial A}{\partial t} | 98fc2cadca77f12f | train | human | |
[\begin{matrix}A&B\\ C&D\end{matrix}] | f8da7a7216ac71fb | train | human | |
\hat{y}=A\hat{x}_{1} | 44d1b848dfe25f93 | train | human | |
\sum_{k=m}^{\infty}ar^{k}=\frac{ar^{m}}{1-r} | fd1ed8c3e6e2668f | train | human | |
\hat{x}^{\prime} | 92bc7552883f89b8 | train | human | |
\frac{\partial\phi_{B}}{\partial t}=0 | ba991362221629af | train | human | |
\overline{c} | a9ac6f6a497a93c5 | train | human | |
(1,2,3,...) | 2901b8c02c4e1d21 | train | human | |
\int_{L}\frac{\delta Q}{T} | f36624f052dee51a | train | human | |
E=L^{2}(\Omega\\ \omega) | de4692c291986f6f | train | human | |
\frac{1}{2^{N}}\sum_{i=1}^{\alpha N}(\begin{matrix}N\\ i\end{matrix}) | 5e387e2bbc161e69 | train | human | |
(1-\frac{1}{e}) | 0045edc2a00696a2 | train | human | |
\omega_{s}=\frac{2\pi n_{s}}{60}=\frac{4\pi f_{s}}{p} | 4eeecf70e63ea741 | train | human | |
(8^{8}+4+410^{\sqrt{118}}-9) | 900c74dc1833ff09 | train | human | |
g\circ f=g | fb3ec1c6860823c5 | train | human | |
\tau_{M}:M\rightarrow BO(n) | 775b8a64b4f6b4f2 | train | human | |
{d^{\chi}}^{m} | ab38614e559e123b | train | human | |
t_{1}=\frac{2\pi R+\Delta L}{c} | 5031630482c75ab4 | train | human | |
\lambda>-y_{0} | 299c96746ceb1827 | train | human | |
r\times n/w | 16a2b653b99a87c8 | train | human | |
\overline{f}=f | 504de586fab08b3e | train | human | |
\tilde{Z}[0] | 26ebfcd5f4b568ed | train | human | |
(\begin{matrix}8\\ 4\end{matrix}) | 134b6bf49887fff1 | train | human | |
\Delta(x)>Kx^{1/4} | 824085eb360eebf6 | train | human | |
\tau_{g}(\omega)=-\frac{d\phi}{d\omega} | f4f0ae2070ac392c | train | human | |
\overline{C}(8) | cfdf960a3225cb3c | train | human | |
lim_{n\rightarrow\infty}\sum_{i=1}^{n}\frac{9}{10^{i}} | dcdb28506abcbbe1 | train | human | |
\frac{e^{iar}}{r} | 6bbc958963e3b264 | train | human | |
\vec{\psi}_{P}=\frac{\partial\vec{v}_{P}}{\partial t} | 717a0ae705a5ebfe | train | human | |
\Delta S=asin\theta | f21393472812d31d | train | human | |
\tilde{H}(q,I) | 6aceed7932fc64db | train | human | |
\pi_{w}^{\eta} | 031c90bff062c99d | train | human | |
AB=(\begin{matrix}4&6\\ 6&2\end{matrix}) | f0e930c83a443154 | train | human | |
\int d\Omega | 9ff11061d799ab50 | train | human | |
\sum_{k=2}^{\infty}(-1)^{k}\frac{\zeta(k)}{k}=\gamma | e327bd0a3aa09f28 | train | human | |
e^{38^{38^{38^{322}}}} | 68cfb1fe3279bf7d | train | human | |
\hat{t} | 8e2e6b87ab2e4dcf | train | human | |
mv=\frac{mv}{\sqrt{1\cdot\frac{v^{4}}{y^{4}}}} | e0e76db14bae0645 | train | human | |
5^{9}/471^{325} | 5abd1f9f283f72cc | train | human | |
(174-3\cdot15+\sqrt{391}/410+3) | a77ee90b684e9944 | train | human | |
K+B*n | 062c26d32f4c3bea | train | human |
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