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{dM}{dx}=V | 2c35b169ef99783d | train | human | |
\tilde{\omega} | aa9d9c78e34a7148 | train | human | |
\sigma_{c}^{2}=\frac{f^{2}L(f)}{f_{osc}^{3}} | 773436c3b8326004 | train | human | |
(\frac{386}{\sqrt{307}})^{6}\cdot363^{9}+404 | 3ebd350391d791a9 | train | human | |
{344^{2}}^{\frac{343^{228}}{9}} | 89696f6a7e5398aa | train | human | |
(\frac{3}{4})^{1}/(\frac{347}{455})^{8} | 7c0606753c46fbdb | train | human | |
E_{r}=K^{2}A^{2}T | 7ba369428717dc4c | train | human | |
\frac{dM}{dx}=Q | d1bf35cb9dd082cc | train | human | |
\frac{\partial V}{\partial q_{j}}=0 | be39777205dde9c3 | train | human | |
A=\frac{4\pi}{3}N_{A}\alpha | f838d7bafeba5a9f | train | human | |
I_{o}=\frac{E_{c}}{R_{v}} | 55cb687ee6a06188 | train | human | |
e^{15^{15^{15^{133}}}} | 118709218d6b25d4 | train | human | |
\{\Omega,F,Q,\{F_{t}^{W}\}\} | ccf624b7c28959aa | train | human | |
d=\frac{h}{sin20^{\circ}} | 58c93226ce3950e9 | train | human | |
(\begin{matrix}12\\ 5\end{matrix}) | e69ce37b656a8620 | train | human | |
\Lambda_{m}=\Lambda_{m}^{\circ}-K\sqrt{c} | 894b5b30871981d9 | train | human | |
K^{\prime}=A_{K}(t)K | 5a05cc137a2c7cae | train | human | |
m_{zal}=\frac{m_{5}}{\sqrt{1-\frac{p^{6}}{c^{6}}}} | f5a969c1037b3a1b | train | human | |
L_{1}[,F_{2} | 08e78390e9b1af27 | train | human | |
70^{70^{70^{70^{76}}}} | 1c256e0a0f192be9 | train | human | |
\frac{d}{dx} | 4645f483995c9aab | train | human | |
G:=1-\frac{2M}{r} | 3d14265720d330df | train | human | |
\frac{dW}{dt} | a310479d1fb47cb6 | train | human | |
log(-5) | 28af6315b14d3126 | train | human | |
\epsilon_{0}=\Theta^{\Theta^{\Theta^{+^{+^{+}}}}} | 3584612d556e0e72 | train | human | |
\Delta\phi=-\frac{qVt}{\hbar} | efbf366a1cc4111f | train | human | |
9^{9^{9^{9^{9}}}}-4 | 4f9f246a3ce8e565 | train | human | |
+\aleph_{0} | b367f9f0a1d2b825 | train | human | |
\prod_{p}(a,b)_{p}=1 | 825ed8551dff8e78 | train | human | |
S+\alpha.m_{0} | 088424051e021954 | train | human | |
\int_{0}^{\infty}\frac{e^{-(\frac{(q\cdot g)^{2}}{2k})}}{\sqrt{2\pi k}} | 90fa78d15b247753 | train | human | |
\tilde{\Omega} | c7fd0cf8e6d82957 | train | human | |
\hat{R}_{m} | e48b893cd96ce77f | train | human | |
H(\underline{w}) | 6c5ce25320aa36fe | train | human | |
c^{2s}(H^{s}|_{E})=\infty | f9bc54768bed8612 | train | human | |
\int vds | 9b797085dfcde523 | train | human | |
I_{o}=\frac{E_{c}}{R_{v}} | 22910b75409738d4 | train | human | |
\tilde{d}=1 | f16cde5c774e0d9c | train | human | |
{36^{243}}^{\frac{7}{5}+244} | 4e0aea33ec85d4c3 | train | human | |
\int d\mu O_{i}Ge^{iS} | 25133f0dfdaad7c4 | train | human | |
V_{c}cos(\omega_{c}t) | 72c58afa29d1eab9 | train | human | |
\int(Tf)g | 702c3e473f2e4758 | train | human | |
\frac{d}{dq}[-\frac{r^{2}}{c}\frac{d\varphi}{d\tau}]=0 | c1cc4e7c27831fcd | train | human | |
V:=L(\underline{b}_{1},...,\underline{b}_{r}) | bb81431cbb453197 | train | human | |
\sqrt{\lambda} | 40b01348e858b203 | train | human | |
\int_{E}|f|<\epsilon | 1683cbe24b9f5613 | train | human | |
\tilde{Z}_{0} | a4f9766807654ebc | train | human | |
\frac{d\beta}{dt} | aefd5860415656e8 | train | human | |
\gamma=\frac{3}{\sqrt{3-\frac{e^{2}}{g^{2}}}} | 77b9f6f9656b6d1c | train | human | |
A(\cdot\cdot\cdot) | 86d812df069e69bc | train | human | |
((2\cdot2\cdot3)/\frac{5}{5}) | b3a2b313c139c66f | train | human | |
d_{r}=\frac{|x-y|}{(\frac{|x+y|}{2})} | c2ce9dd301e05c5e | train | human | |
P_{2}=(1,2,1,\sqrt{5}) | eeeb0cdad54bf984 | train | human | |
\frac{dF}{dx}+2xF=1 | 65dca0921240308d | train | human | |
x^{T}[\Lambda]x=1 | 547bb96a42c9c8e6 | train | human | |
(402+91)^{\frac{(25+3)}{2}} | 4c3c795ef4ca5a2f | train | human | |
p(z)=\frac{1}{\pi}\frac{1}{1+z^{2}} | a688a3ca237f98be | train | human | |
\frac{1}{ln2}\frac{1}{1+x} | 3d1b72255959be09 | train | human | |
\frac{d}{d\mu}\frac{\partial\rho}{\partial v^{\lambda}}-\frac{\partial\rho}{\partial x^{\lambda}}=0 | 985a12d90bdc7e12 | train | human | |
N=e^{e^{e^{...^{e^{j}}}}} | 965f51b6c725d2be | train | human | |
(2)=(1+i)^{2} | a0e7f03eccc33272 | train | human | |
\hat{2} | 0b0d2d3160fe3146 | train | human | |
-\sqrt{\frac{1}{20}} | 3f47fab412e52e0b | train | human | |
\prod_{i=1}^{g}|1-a_{i}^{k}|^{2} | b1dbc71b65213d47 | train | human | |
\tilde{d}=\sigma^{2}/\overline{x} | 4237dd87a1cc60c1 | train | human | |
D_{i}(g_{t})=\frac{d}{dt}g_{t} | 52022a0b5f410c99 | train | human | |
\int f^{-}d\mu | 0d5e7d7fa45b22a4 | train | human | |
K=\frac{3HW}{PL_{\rho}} | 0b1b25378b103be1 | train | human | |
=\pm\frac{tan(\theta)}{\sqrt{1+tan^{2}(\theta)}} | 77394b6e9dcbf120 | train | human | |
\sqrt{\Delta} | 32ecd322ed285c5c | train | human | |
\frac{d[3]}{dt}=k_{2}[1][SO_{2}]^{2} | 2d3224695aeade16 | train | human | |
\{\vec{v_{1}},\vec{v_{2}},\cdot\cdot\cdot,\vec{v_{k}}\} | 2a7f5f20b36b5ba3 | train | human | |
\varphi_{s(p,x)}(y) | a2a29f0503d396f4 | train | human | |
f(n,m,M) | 12072cd9b71a2c23 | train | human | |
(\frac{1}{3}\pi R^{2}D) | a3c5585cec4f4d08 | train | human | |
\frac{\partial\rho}{\partial t}=0 | d2c37eb9bfb6ffb2 | train | human | |
O(|E|+|V|\sqrt{log|C|}) | 66cb044ccd389d85 | train | human | |
\prod_{p}P(p,s) | ebc1030252f91720 | train | human | |
s\le r-1,xp_{s} | ccaf862491d26cb0 | train | human | |
K_{a}=\frac{x^{2}}{C_{a}} | a39549df605a9743 | train | human | |
\int_{0}^{t}(ms)^{2}ds | e5ae84216fcda947 | train | human | |
k_{B}T=\frac{GM\mu}{r} | 5ab94cfbdd0c8c7d | train | human | |
\frac{5^{500}}{7}+(5\cdot8)/\sqrt{170} | bee004b74bb5ac9f | train | human | |
\hat{z}_{a} | 6355435f60210eb6 | train | human | |
S<\prod_{i=1}^{k}m_{i} | 0c0c6d2739acf638 | train | human | |
H^{i}(G/B,L_{\lambda}) | fd5bb11b3597fb43 | train | human | |
(\begin{matrix}0&-1\\ 1&a\\ \end{matrix}) | 992c0f1caf71efb6 | train | human | |
\hat{\alpha}<\hat{\beta} | f150fc1ca3f8ab4a | train | human | |
\rho_{c}=\frac{3H^{2}}{8\pi G} | d6f8601b7e570aa9 | train | human | |
\prod_{i=1}^{m}Q(\beta_{i}z) | 06c0e7c3c3fb624f | train | human | |
y=R\frac{\varphi+\sqrt{2}sin\theta}{2k} | a39ea8b4f50cdcb4 | train | human | |
\tilde{C}_{4} | b3f9335a51c3d050 | train | human | |
\hat{\beta}=\frac{\overline{D}}{s_{D}} | f0c98188f7538031 | train | human | |
\int PdV+\int VdP | ac95176bc69090cb | train | human | |
(\begin{matrix}n\\ 2\end{matrix}) | 56f5d61159af1eb5 | train | human | |
\frac{\frac{340}{7}}{169-1^{6}} | 79118d37e7287a9b | train | human | |
|1,-ix,0,0,0,\cdot\cdot\cdot\rangle | 78346e13789bdd0a | train | human | |
e^{2\pi i(\pm\alpha+k)/N} | c0c49755a1494e17 | train | human | |
A_{\theta}^{\alpha} | a325c0fe5300f051 | train | human | |
(\begin{matrix}11\end{matrix})(\begin{matrix}111\end{matrix})(\begin{matrix}42\end{matrix})(\begin{matrix}401\end{matrix}) | 569158f62425de79 | train | human |
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