image imagewidth (px) 4 512 | latex stringlengths 1 188 | sample_id stringlengths 16 16 | split_tag stringclasses 1 value | data_type stringclasses 1 value |
|---|---|---|---|---|
\tilde{X}=\frac{\partial}{\partial t}+X | e2353db3a7d6df63 | train | human | |
e[n]=x[n]-\hat{x}[n] | d961760c33e3d2cb | train | human | |
\frac{\partial u}{\partial x} | 5297c481b7791688 | train | human | |
(107+393)^{\frac{10}{10}} | 878054e66f46ca10 | train | human | |
\hat{D}(\alpha) | ffba0379bc008894 | train | human | |
ytan\varphi=y\frac{dy}{dx} | c64613b04d651659 | train | human | |
264-175-365-4+5 | b4715078b3fff840 | train | human | |
(\begin{matrix}n+x-1\\ n\end{matrix}) | 36b93839708a27a8 | train | human | |
(\begin{matrix}n+1\\ 1\end{matrix}) | 052cbde46b9c5a4b | train | human | |
\frac{d}{dq}q-q\frac{d}{dq}=1 | d9d54cba103627f3 | train | human | |
w(2)=\frac{2}{\sqrt{\pi}} | 602e3af9abafd0a3 | train | human | |
(\frac{(1\cdot1)}{296})^{138^{130}} | 84b623beebcef58e | train | human | |
\int I(q)q^{2}dx | 25f284b9b22a6763 | train | human | |
\frac{-isin(i\sqrt{x})}{\sqrt{x}}-x | 1459b75e00f8b1bd | train | human | |
I_{w}=\frac{h}{eL_{w}}=\frac{e\omega_{w}}{2\alpha} | d110d5c6feb6c819 | train | human | |
C=(\begin{matrix}1&i\\ i&1\end{matrix}) | f421af31ff91277e | train | human | |
c_{g}=\frac{\partial\Omega}{\partial k} | c4b8e577253a8da0 | train | human | |
\hat{b}_{i} | 0ef30b005fa20921 | train | human | |
[\begin{matrix}1&1\\ 0&1\end{matrix}] | 95d2c42d6a42f8b8 | train | human | |
L=-\frac{n_{*}^{3}}{\chi\frac{g}{\overline{\omega_{p}}}\overline{q^{\prime}\omega_{p}^{\prime}}} | 4ac57839cde70771 | train | human | |
e^{-\frac{3}{5}(\frac{log\frac{x}{x_{4}}}{log\upsilon})^{5}} | 675cee8fccfb050d | train | human | |
(353+375^{458}+8^{9}) | cc2d47e8b45b24b2 | train | human | |
\psi(0)=\psi(\pi)=0(6) | c81b035f34a273b6 | train | human | |
E(z_{i}u_{i})\ne0 | 24f122af2cb54eb7 | train | human | |
P=\frac{oz^{2}}{\sqrt{1+\frac{v^{2}}{z^{2}}}} | bfa319104d6c5dfd | train | human | |
t=\frac{|r|}{\sqrt{\frac{8-r^{0}}{p-0}}} | 9f277270cbe4fbd0 | train | human | |
\pm\sqrt{\frac{(k+1)(n-k+1)}{(n+2)^{2}(n+3)}} | f53a97aed15d09eb | train | human | |
\sqrt{\Omega} | 51571832a9bf49ad | train | human | |
\lfloor\frac{i+w}{J}\rfloor | 1f9bc71fcb3c7fdb | train | human | |
\overline{V^{\prime}R} | 39d783673d2e815f | train | human | |
\pi^{0}\rightarrow\gamma\gamma | a8e06ef6902380cc | train | human | |
(\begin{matrix}n\\ k\end{matrix}) | d9e77fd9a89939cc | train | human | |
R^{2^{N}} | 2ba85dbc24b7b257 | train | human | |
=24\sqrt{3}-3\sqrt{3} | eb6b2cd9f2611dd6 | train | human | |
E(\hat{f}+i\hat{s})e^{i(kz-\omega t)} | d8249f174003d783 | train | human | |
(\begin{matrix}n\\ r\end{matrix}) | 2157cb2adbc7985b | train | human | |
\int_{a}^{b}\frac{sint}{t}dt | ad8f10fc19700ace | train | human | |
\overline{m}_{n}=\frac{1}{N}\sum_{i=1}^{N}z_{i}^{n} | 8657b42c569d03b0 | train | human | |
{410^{\sqrt{122}}/308}^{\frac{(70/10)}{3}} | 258d7209516759a2 | train | human | |
(\pi/2)^{1/4}C^{1/2} | a441fce3510bf06e | train | human | |
\frac{a}{1-q}=\frac{3a}{1+q} | c2b9b93767ee4c7b | train | human | |
\sum_{k=1}^{n}v_{k}c_{k} | d1f7c4faf8c68ca7 | train | human | |
(O\underline{A}\rightarrow\underline{A}) | 4713f07bdf30efc2 | train | human | |
\overline{W} | a7d4bf7bbeb723fd | train | human | |
0=\frac{3\sqrt{x}}{2}-\frac{1}{2\sqrt{x}} | 0b9692db4ff5ecf7 | train | human | |
H^{r}=\bigoplus_{p+q=r}H^{p,q} | 424a4edcd04f3225 | train | human | |
i,j,k,l | dd43ef813764c8ff | train | human | |
\frac{4}{8}+\frac{6+191}{5} | b4ba16cf7a5bf60e | train | human | |
((\frac{495}{9})^{131}+\frac{183^{6}}{3}) | 74416dcf3330f13f | train | human | |
\frac{v}{c}\cdot\frac{180^{\circ}}{\pi}=20,5^{\prime\prime} | fcca7aa8d4aeba2b | train | human | |
h=\frac{\overline{X}_{9}-\overline{X}_{2}}{\sqrt{\frac{n_{9}^{2}}{N_{9}}\cdot\frac{n_{2}^{2}}{N_{2}}}} | c9dd55006e20c552 | train | human | |
C(B)=\sum_{i=1}^{N(B)}M_{i} | eb536f392d630fb8 | train | human | |
ss\{\begin{matrix}2\\ 4\end{matrix}\} | ce7196e36c3368b8 | train | human | |
\frac{1}{\sqrt{x^{2}+1}} | 4512ef789d5126d0 | train | human | |
B\underline{A} | 92f617d2cd3405b3 | train | human | |
\tilde{x} | e6dd17fc718d5b8b | train | human | |
\frac{(7\cdot3)^{301}}{{10^{6}}^{3}} | c8d3bcdd68bb4792 | train | human | |
\pi(G)=G/P_{c-1}(G) | 2cd6b6b3a2ed1dda | train | human | |
\int_{a}^{b}\cdot\cdot\cdot dx | 5ad1ba1d26cd1fc3 | train | human | |
[\begin{matrix}x&=&p\\ y&=&p\end{matrix}] | 15486687197f63d3 | train | human | |
I(x)/V(x)=-Y_{0} | 1eddcf86254f8fc7 | train | human | |
\langle dG/dt\rangle_{\tau}=0 | 29fc8831ed15f2d5 | train | human | |
(\frac{7\cdot99}{9})^{1^{61}} | bc227575ceb70c82 | train | human | |
\tau=\mu\frac{du}{dx} | 6836dd3962a6b12e | train | human | |
\hat{L}=p(x|\hat{\theta},M) | bc7592f126628c4c | train | human | |
\frac{dy}{dx} | 971d47a4933d3f6f | train | human | |
\tilde{h}(E) | b282d8cbe8f64f9d | train | human | |
\prod_{v}(a,b)_{v}=1 | b5e98daec516ca9d | train | human | |
\frac{-\partial I}{\partial z}=2\alpha I=Q | 0d5ab80b0920f3cd | train | human | |
\frac{\partial h}{\partial z_{j}^{-}} | 395e02a5a76bcb77 | train | human | |
a^{a^{\cdot^{\cdot^{\cdot}}}} | b5dcb914f5a25c70 | train | human | |
\frac{d}{dx}(y) | cb55290c4a053fb1 | train | human | |
t=\frac{\overline{S}_{1}-\overline{S}_{7}}{\sqrt{\frac{e_{1}^{7}}{M_{1}}+\frac{e_{7}^{7}}{M_{7}}}} | d478beac830b6d49 | train | human | |
(\begin{matrix}m\\ 2\end{matrix}) | 70851d31268d0ef9 | train | human | |
s=\frac{s^{\prime}+me^{\prime}}{\sqrt[]{0-\frac{m^{2}}{c^{2}}}} | 90df18bb5cd4a694 | train | human | |
R=l\cap l^{\prime} | b40c7b45c1461935 | train | human | |
\frac{o^{+\frac{j^{2}}{2\sigma^{2}}}}{\sqrt{2\pi}\sigma} | 0280a87e4468b9bb | train | human | |
x=\sqrt{x^{2}} | 7347420c8fa4508e | train | human | |
\frac{dM_{z}(t)}{dt}=0 | 0219311aba0675b7 | train | human | |
\tilde{I}=I | 5887b8911902b905 | train | human | |
g(n+x)=\prod_{k=1}^{n}f(k+x) | 2ce2fb013394e812 | train | human | |
||x||^{2}=x^{T}x | b465e2ed324dadc9 | train | human | |
\frac{\partial\phi}{\partial t}=D\nabla^{2}\phi | d9e03b73bc71c0f8 | train | human | |
g(X)=1 | 2e952151892d1cfb | train | human | |
s=\frac{3\sqrt{3}}{2}R | ec6492638869ea5f | train | human | |
(7+5)^{11^{3}} | c984d4e97583098f | train | human | |
\hat{f}(n) | 1d8b4e7af72251e9 | train | human | |
3\zeta(2)\zeta(3)-\frac{11}{2}\zeta(5) | 90820d2fa048e77d | train | human | |
k^{k^{\cdot^{\cdot^{k^{k}}}}} | 85a82f77b6e367ba | train | human | |
\tilde{D}_{8} | 4ec0a2122ab96f5b | train | human | |
\overline{\delta}=1-\sqrt{2} | 7fc715e665c43bd0 | train | human | |
6-185/(\frac{6}{6})^{8} | 203031449e374aa9 | train | human | |
X=T^{-1/p}+X_{1} | 825f52459f53c589 | train | human | |
\partial_{t}L=\frac{1}{2}\nabla^{2}L | 52fd4b5db96fb446 | train | human | |
P_{i}=\frac{fit_{i}}{\sum_{j}fit_{j}} | 59c818425df7edcb | train | human | |
\int rcos\theta dm | 873bd85fe0d9b780 | train | human | |
M\int vds | 1e0544d2ae409be2 | train | human | |
||f||_{1}=\int|f|d\mu | dd98779334c05424 | train | human | |
(\begin{matrix}n\\ k\end{matrix}) | 20bfe2d7d302f47f | train | human | |
\prod_{v}(a,b)_{v}=1 | 2887d5281d749889 | train | human |
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