image imagewidth (px) 4 512 | latex stringlengths 1 188 | sample_id stringlengths 16 16 | split_tag stringclasses 1 value | data_type stringclasses 1 value |
|---|---|---|---|---|
\frac{O_{n}}{E_{n}} | b1ca8e51e0e71939 | train | human | |
a_{1},a_{2}\in\mathbb{N} | 38da37de29cd4ee3 | train | human | |
\frac{}{\partial x\partial x} | 03bc7506bb19f82b | train | human | |
(1-\frac{1}{2^{k}}) | 86e8e967c6c7b119 | train | human | |
\alpha_{fine}\approx1/137 | f292f46713836b24 | train | human | |
\int(u-v)dx | 352a628e1a15ebe8 | train | human | |
[\begin{matrix}a&b\\ c&d\\ \end{matrix}] | dcabf389b7f10043 | train | human | |
\frac{dx}{du}du | 159b8b5bf467e317 | train | human | |
\hat{X_{a}} | 5290d2ed4e1f1f6e | train | human | |
\frac{\partial\rho_{S}}{\partial t}=0 | 974cca44eb4bb938 | train | human | |
\frac{V_{B}}{V_{A}}=\frac{p_{A}}{p_{B}} | 5fb215ae33c2712a | train | human | |
\alpha=\frac{1}{V}(\frac{\partial V}{\partial T})_{P} | 82e966e9beba2321 | train | human | |
\frac{3+103^{285}}{141^{295}} | 4ac9c3af3ed81115 | train | human | |
\frac{\frac{\sqrt{55}}{5}}{278}-\frac{145}{4} | 76b071e120b4368c | train | human | |
E=\frac{fa^{4}}{\sqrt{1\cdot\frac{v^{4}}{a^{4}}}} | fc390a90bfa98e5f | train | human | |
S=\int_{0}^{T}E[s(t)^{2}]dt | 366f50ecd1ac3b50 | train | human | |
P(k)-i-1 | 636964dbbb84cdad | train | human | |
Z_{i\Pi}=\frac{1}{\sqrt{1-\omega^{2}}} | 5e2fd1981de1b7eb | train | human | |
\Gamma(\frac{1}{2})=\sqrt{\pi} | 89b1841553ba88ca | train | human | |
t\{\begin{matrix}3\\ 3\end{matrix}\} | 8cf90fee01329d2c | train | human | |
|\begin{matrix}a&b\\ c&d\end{matrix}| | 0e9674321b33c18f | train | human | |
\frac{8^{43}}{\frac{6}{165}} | 111e021d26e15fc4 | train | human | |
\frac{d}{dx}ln(x)=\frac{1}{x} | 7ee5da754809d325 | train | human | |
\sqrt{a+b} | 75296809d530cf32 | train | human | |
(A-\tilde{\lambda}_{*}I) | 32f6ce536a0c8399 | train | human | |
x_{h}+x^{*} | b8b1ad69585db19a | train | human | |
A_{k+2}=(2k-\lambda)A_{k} | ae2257613d70fed5 | train | human | |
\frac{\partial L}{\partial y} | f58c9a95a0d7fc96 | train | human | |
A=\int2\pi R(s)ds | 4819b0455678ebd0 | train | human | |
\frac{\partial\nu}{\partial S} | e9c54da4594d2d3f | train | human | |
\tilde{q} | 1066f104aa6c2d4b | train | human | |
O_{L}\rho | 699888dd6ea3aa82 | train | human | |
\frac{13\cdot203}{(92+374)} | 11773831fb80478e | train | human | |
V^{(c_{n})} | 24f9a59e8f4390df | train | human | |
T=2\pi\sqrt{\frac{mL^{2}}{2\kappa}} | 7a60ebb77b03f4f6 | train | human | |
k=2\pi\xi=\frac{2\pi}{\lambda} | 7c804adc01845063 | train | human | |
M_{i,j} | bb94a0d16573464b | train | human | |
x^{\underline{n}} | 84a5ad7356b6277b | train | human | |
(0,p) | e7bfdf585bfa4f4e | train | human | |
\frac{ad-bc}{bd}rel0 | 307c0dab5f3644ca | train | human | |
I\cdot\Lambda_{A}(m)=log|m| | d4d81eb24ad7686c | train | human | |
\omega_{n}=\sqrt{\frac{K_{p}K_{v}}{\tau_{1}}} | 1d514869a03a0739 | train | human | |
\epsilon\sim(\frac{\xi_{0}}{\xi})^{2} | 677990985812fd6e | train | human | |
(\begin{matrix}k\\ r\end{matrix})=0 | 91fc63178cc98a07 | train | human | |
\frac{\partial f}{\partial x}=1-4xy | 455f714c93e5c34d | train | human | |
m_{em}=\frac{E_{em}}{c^{2}} | cd648f7c6cc6177e | train | human | |
(\begin{matrix}n\\ 2\end{matrix}) | 1a2f3d6e40fa8cea | train | human | |
\frac{d\psi}{dx} | e63e828b2df64b9d | train | human | |
0 | 5eb70be25371197e | train | human | |
\int f(v)dv=3N | 99a07427409a1ec4 | train | human | |
\frac{P_{2}V_{2}}{\frac{1}{8}P_{1}V_{1}} | 23595cf1548889f0 | train | human | |
X_{i}\sim N(\mu,\sigma^{2}) | 6464ee5f040db943 | train | human | |
[\begin{matrix}2&p\\ q&2\end{matrix}] | ac639d661a6bd9ac | train | human | |
\tilde{X}\in T_{e}E | efc361eec457635c | train | human | |
xH\bigcap1\cdot H=\emptyset | cb5096b3fa4ff0b6 | train | human | |
\tau_{xy}=\frac{f^{\prime\prime}(0)\rho U^{2}\sqrt{\nu}}{\sqrt{Ux}} | 47ff86e0e09fe499 | train | human | |
\frac{d^{3}}{dx^{3}}[x^{4}]=24x | f5fca8536424f3c6 | train | human | |
\hbar\rightarrow\hbar{k_{0}}^{2}T/m | 27d4e1e049fc5430 | train | human | |
\frac{\frac{\sqrt{235}+17}{6}}{(109\cdot6)} | 2a9ca724bb3afd8f | train | human | |
U(r_{j}-r_{l}/\sqrt{n}) | 2a1dc5a0f328d1fd | train | human | |
P=-\frac{\partial F_{3}}{\partial Q} | 617f0ee231bf7b95 | train | human | |
[\begin{matrix}3&4&4\\ 4&5\\ 6&7\end{matrix}] | 7e3b61b147e89ea4 | train | human | |
{(x^{\chi})}^{9} | fc7ff4293b93b751 | train | human | |
(328\cdot9)+(287^{221}+473) | c924df816cd1434d | train | human | |
\frac{dx}{dt}=3 | 00ff8a98ab8f96da | train | human | |
n=(\begin{matrix}2k-1\\ k\end{matrix}) | c07a1762c8e5cafb | train | human | |
d(n)<2\sqrt{n} | 214cdf46d04a2029 | train | human | |
\frac{i\omega}{\omega_{c}^{\prime}}\rightarrow\frac{\omega_{c}}{i\omega} | e9aab861c9480050 | train | human | |
\int_{2}^{6}2\pi ydS | c4f93c00476e6aef | train | human | |
\chi(R/P,R/Q)=0 | a9544290f08e9ec1 | train | human | |
R(x):=\frac{x+|x|}{2} | 429469bea3011ce7 | train | human | |
\Gamma=\frac{z-1}{z+1} | d053ef036785ebf4 | train | human | |
\int_{x}^{1}f^{\prime}(t)dt | 644606dff9d2dab9 | train | human | |
1/\overline{z_{0}} | 4277b2901be97d05 | train | human | |
\frac{1}{2}\sqrt{2} | 47369d588d842c2a | train | human | |
\Pi_{e}+\Pi_{f}+\frac{1}{\Gamma}=1 | 1ec0cf195b934d86 | train | human | |
\tilde{L} | f3bdc2a46c77b32f | train | human | |
g=\int Gdz | 176afd1363611621 | train | human | |
\hat{b}=\frac{2}{N}\sum_{i=1}^{N}R_{i}sin\theta_{i} | fb8a6971d7f2cdcd | train | human | |
\tau_{MW}=\epsilon_{0}\frac{\epsilon_{1}+\epsilon_{2}}{\sigma_{1}+\sigma_{2}} | 79fe30ffff804d46 | train | human | |
\prod_{i=0}^{k-1}(x-z_{i}) | 1963df2560887a44 | train | human | |
\sqrt{3} | 8aba5c909b4dd861 | train | human | |
\tilde{F} | d29f944ff18c24ee | train | human | |
N/D=(Q,R) | b217f9a7c72ffc70 | train | human | |
\int_{\Omega}\rho d\Omega\le V^{*} | c3d29be7100d129e | train | human | |
x_{2}=\frac{161}{72} | e1ad2369133940a6 | train | human | |
\sqrt{z} | 5976397477e0686f | train | human | |
|f|_{2}=\sqrt{|S|} | 4d565cce7585db98 | train | human | |
E=\frac{mg^{2}}{\sqrt{5\cdot\frac{w^{2}}{g^{2}}}} | d16308f979c7d995 | train | human | |
\hat{y} | 65fca3a184fec2b7 | train | human | |
((3\cdot6)+\frac{3}{2}) | b16126147e3fbfbf | train | human | |
\frac{\frac{\frac{\sqrt{352}}{\sqrt{111}}}{7}}{{4^{336}}^{294}} | 01eca9f71b208250 | train | human | |
\frac{1}{T}=\frac{dS}{dE} | bc1691fcefa5d8ce | train | human | |
u=\sqrt{t}(x-\frac{iy}{t}) | d273509bba8e60f0 | train | human | |
4\cdot141^{\frac{\frac{93}{495}}{2}} | f0b89effd56ffdb7 | train | human | |
\int\frac{sinx}{x}dx | c08f6b0c6336f190 | train | human | |
B_{I}R\simeq R[It] | 2c95dbd52e57b642 | train | human | |
\xi\in[0,1] | 92adbc0fdf6ad7f9 | train | human | |
E(\overline{K}) | 89045c075288ee43 | train | human | |
S^{l}=U_{i}S_{i}^{l} | f90073c68923f6d7 | train | human |
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