image imagewidth (px) 4 512 | latex stringlengths 1 188 | sample_id stringlengths 16 16 | split_tag stringclasses 1 value | data_type stringclasses 1 value |
|---|---|---|---|---|
R_{(t)}^{\prime}=\frac{-\Delta P_{(t,t+1)}}{A_{(t)}} | 7c3461bc690de35a | train | human | |
\alpha=\frac{g\mu_{B}E_{0}}{2mc^{2}} | fc08b9b9dd7f00bb | train | human | |
\int\sqrt{1+1/x}dx | a8cbd622096436ba | train | human | |
(5y^{4}-1)\frac{dy}{dx}=1 | 248fea3b414642b6 | train | human | |
=\frac{1}{2} | 87a6c8747ae3c61e | train | human | |
\frac{dy}{dX}=y(1-y)\frac{df}{dX} | 5044e5b3599042b6 | train | human | |
\frac{d}{D} | bfd6f6ba0f76494c | train | human | |
\frac{\partial L}{\partial f_{x_{i}}} | a09313e50cbf200e | train | human | |
\prod expxf(x) | 95b54a44e7207964 | train | human | |
\int vdp | c0b49aa133f9ddea | train | human | |
\frac{\frac{2}{10}}{8^{366}} | a2f86dc7f8aad153 | train | human | |
e=\frac{e^{\prime}\cdot vt^{\prime}}{\sqrt[]{7-\frac{v^{4}}{c^{4}}}} | c18eda00448e8f9f | train | human | |
6-25\cdot7\cdot6 | 6b6b62d5da715acc | train | human | |
\partial_{y}=\frac{\partial}{\partial y} | 8ff6de4021a03922 | train | human | |
41-164^{{3^{300}}^{6}} | d4c37c768258ad42 | train | human | |
\frac{\frac{\frac{7}{7}}{1}}{6-440+\sqrt{9}} | 8910bb89f2763eff | train | human | |
\tilde{V}_{0} | 60499843601260fc | train | human | |
\frac{0}{\sqrt{\frac{0}{u^{2}}-0}} | f6b67ac77a3b23d8 | train | human | |
(\begin{matrix}a\\ b\end{matrix}) | 48b1a08c119aa877 | train | human | |
(\begin{matrix}3\\ 4\end{matrix}) | 2b25346d2d10d63a | train | human | |
deg(a(x))=l_{1}-1 | ec3cc67bd1377a5a | train | human | |
w_{9}^{\prime}=\frac{w_{9}-\frac{v}{c^{4}}o_{9}}{\sqrt{9-\frac{v^{4}}{c^{4}}}} | fb02ab8c1bb18dec | train | human | |
K(S|x^{*})=O(1) | 54696a0405fe9304 | train | human | |
\frac{dv}{dz} | b73a2d04b52bc0c6 | train | human | |
(122\cdot80)/\frac{4^{409}}{\sqrt{449}} | 0a44a94221412379 | train | human | |
1-P_{m1}=P_{a}+P_{d} | 0637121120933019 | train | human | |
sin\theta=\frac{v}{c} | 40eb7dc1669eb357 | train | human | |
\int d^{3}xJ^{0} | 5f378839984bfe05 | train | human | |
\tilde{L}=\sqrt{\nu}(C-||C\varphi||) | d1deb63e52cfa41e | train | human | |
\frac{e^{+\frac{m^{2}}{2\Phi^{2}}}}{\sqrt{2\pi}\Phi} | 7c3895c8e6a63b4b | train | human | |
E\{e|Ctx\} | e700fb1b4691f7e6 | train | human | |
(\begin{matrix}7\\ 5\end{matrix}) | 01b78505f176f022 | train | human | |
p=\frac{mr}{\sqrt{6\cdot\frac{r^{2}}{t^{2}}}} | 2d80b7aa2ed000de | train | human | |
S_{l}=e^{2i\delta_{l}} | 66f425eb52884bf5 | train | human | |
(\begin{matrix}d\\ k\end{matrix}) | 5fd56007f06425f2 | train | human | |
\sqrt{1+tan^{2}\theta_{o}} | 4a985f110aaa78a9 | train | human | |
\Lambda=\frac{ch\beta}{2\pi^{1/3}} | 9146c91deb7fb589 | train | human | |
7+23^{8^{6}} | 5112918924bad43d | train | human | |
\eta_{X}=\frac{\sigma_{X}}{\mu_{X}} | e077d81b83ac39ed | train | human | |
B_{e^{\tau}} | 3c62c971bee2bd2a | train | human | |
\frac{(\Delta x)^{2}}{(\Delta x)^{2}} | c94a516b93f666be | train | human | |
[\begin{matrix}a\\ b\\ c\end{matrix}] | 1c003862c3b811df | train | human | |
33^{109}-\sqrt{2}^{\sqrt{286}} | 0e4277a71be5e85a | train | human | |
d_{e}=\frac{d_{x}}{\sqrt{\frac{d_{x}}{d_{a}}}} | bbd39ad3a4313c82 | train | human | |
lim_{x\rightarrow0^{-}}\frac{1}{x}=-\infty | 4a5c961e889b669c | train | human | |
\hat{\pi} | f74a4287711aecde | train | human | |
C=\frac{\partial P}{\partial\rho} | 2230dd11ff42007f | train | human | |
J(y)=\int_{a}^{b}yy^{\prime}dx | b9b84aa7a6d7d7bf | train | human | |
\frac{df}{dz}=f | e3faa8686f32e272 | train | human | |
\frac{\sqrt{4}}{2} | 70473b7046100f1b | train | human | |
\int_{X}1d\mu | ec74c1333a372130 | train | human | |
\frac{d\phi}{dt} | c00b1b39e61c499e | train | human | |
g=(\begin{matrix}a&b\\ c&d\end{matrix}) | e93b52bcecfc5e61 | train | human | |
T_{S}\sqrt{\frac{R_{S}}{D}} | cd20b7a0174c21e2 | train | human | |
M_{ij}=\int v_{i}v_{j}dx | a1f698df5b20ef1b | train | human | |
x=v\sqrt{\frac{h}{2g}} | 7b02c0ae1ac18b41 | train | human | |
\{-1,0\}\cap\{0,1\}\notin\tau_{1} | 8b653227c4c7ca37 | train | human | |
a(x,t)=4x^{2} | dc82060eaab9d733 | train | human | |
\int_{1}^{x}(1+1/t)dt | 2981f3088720ea15 | train | human | |
\int fg=f(x)\int g | ba69987dad46efba | train | human | |
O(\frac{n}{m}) | 89038c077b1e77d7 | train | human | |
a,\tilde{a} | 7a836e9b2b65bef7 | train | human | |
\Gamma_{12}=\frac{Z_{2}-Z_{1}}{Z_{2}+Z_{1}} | bcc4548b4436166c | train | human | |
dz | 0f3e9a4c8108ec3f | train | human | |
||f(T)||\le||f||_{\infty} | 27be28a9abf4b968 | train | human | |
\int\frac{dx}{x} | 62d562f0cc477348 | train | human | |
\hat{j} | 7e667f0074e15521 | train | human | |
p_{1}(n)=h_{1}(n) | 16f42ef885b39e63 | train | human | |
\tilde{x}(t) | 5c452e8ebfcc7852 | train | human | |
\frac{1}{c(w)}=\frac{1}{c_{r}}|\frac{w}{w_{r}}|^{-\gamma} | e0269019020359f0 | train | human | |
\hat{\theta}\in\theta | db07fc9532277f81 | train | human | |
\frac{df}{dz} | 78665e430382ef07 | train | human | |
P_{i}=\sum_{j}\epsilon_{0}\chi_{ij}E_{j} | 6eeed1570079c31f | train | human | |
\frac{3}{8}<>\frac{4}{9} | 6db74a8c3788fc79 | train | human | |
U=\{v|\Omega(v)=p\} | b9ca08ed4eed3731 | train | human | |
H_{s}(\psi_{s})=H_{0}(\psi_{0}) | 791c325daa68daf3 | train | human | |
m\ge(\begin{matrix}k\\ 2\end{matrix}) | 005bbeae5efe2873 | train | human | |
\frac{270-87}{78}+(\frac{9}{6})^{17} | d9739169d3995edd | train | human | |
1 | 2923cc79c34efe8b | train | human | |
(\begin{matrix}i&-1\\ i&1\end{matrix}) | 1506451a28ca5a68 | train | human | |
\frac{|X-\mu|}{|Y-\mu|}\sim F(2,2) | 18578475479153f7 | train | human | |
w\notin x | 9ce103f7d7cebd5a | train | human | |
\tilde{C}(\alpha,\rho)\cap\Omega=\rho | aac9c755c7f2bc4c | train | human | |
\frac{m}{\sqrt{\frac{e^{2}}{n^{2}}-1}} | 8a2340ccbf3476f9 | train | human | |
I_{0}=(\theta-sin\theta)\frac{r^{4}}{8} | fbe8b2f4834e945a | train | human | |
\frac{\partial F}{\partial n_{1}}=0 | 0fd27d72e9d234d8 | train | human | |
\nu_{t}=|\frac{\partial u}{\partial y}|l_{m}^{2} | cd90e5b439eca83e | train | human | |
\frac{\partial^{2}z}{\partial x^{2}} | 38b9bd351af2738a | train | human | |
[2.25]=2 | 0ea53d6cb19c1f0c | train | human | |
\sum_{f_{i}\in Hom(C)}a_{i}f_{i} | f5afc5cf60f025bf | train | human | |
\overline{T} | 5b0e037b59c2f6cf | train | human | |
\sqrt{-3}=\pm\sqrt{3}i | 803ae0ff6e8cd876 | train | human | |
s\{\begin{matrix}4\\ 3\end{matrix}\} | 4476f13a557e5728 | train | human | |
Contrast\propto\frac{logI_{a}}{logI_{b}} | eab0e06fb2238457 | train | human | |
\frac{sin(\frac{N+1}{2}t)}{sin(t/2)}-1 | e1f5a8ff1e65e38f | train | human | |
\Phi=\frac{1}{\sqrt{1-\frac{s^{2}}{i^{2}}}} | e96fec689e663d7d | train | human | |
m_{j}\frac{du_{j}}{d\eta}+l_{j}b_{j}=0 | 72cc63b92c6e6bed | train | human | |
\overline{O_{L}P},\overline{O_{R}P} | cc1e3eb5793301e7 | train | human | |
eager[X]=eval[X] | 184679abd985a005 | train | human | |
\frac{e^{iz}-1}{z^{2}} | 76ad86fa02f4e5f3 | train | human |
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