image imagewidth (px) 4 512 | latex stringlengths 1 188 | sample_id stringlengths 16 16 | split_tag stringclasses 1 value | data_type stringclasses 1 value |
|---|---|---|---|---|
\rho_{A_{5}...A_{s}}^{T_{A_{t_{5}}...A_{t_{l}}}} | 0657f08cd3a1258d | train | human | |
3a^{2}b+5b^{3}=1 | 6f5acde12993d31d | train | human | |
O(p(x)^{3}) | dd36e6edec6c5cb9 | train | human | |
(\begin{matrix}u&0\\ az&u\end{matrix}) | 0f58fa4d83da361a | train | human | |
R=\prod_{i=1}^{n}R_{i} | e938a19c28d43bd0 | train | human | |
x_{i}=\frac{\sum_{j}e_{ij}x_{j}}{\sum_{j}e_{ij}} | a14e1109dc4aa7eb | train | human | |
\frac{\partial l(\theta|X,Y)}{\partial\theta}=0 | d4eb0b29667d6ca2 | train | human | |
\mathbb{D} | a0c200050fb7c13b | train | human | |
({\sqrt{56}^{5}}^{1}+10^{\sqrt{5}}) | 4c4a9aee6867ab14 | train | human | |
(\begin{matrix}-1\\ 0\end{matrix}) | 8330dc71f145c376 | train | human | |
2^{2^{\kappa}} | 78a21eab9f4a8cf6 | train | human | |
D_{p}^{1} | 9d5531f1a5324f6d | train | human | |
\frac{2c}{H_{o}\sqrt{\Omega_{v}}} | 2aaaf20479f19664 | train | human | |
\sqrt{R^{2}-r^{2}} | 8a2c3a19a29ef63e | train | human | |
p_{x}(n+x) | 1cf1a67879323cd9 | train | human | |
\alpha=1/5,\beta=2 | 3301b77446496db2 | train | human | |
\mu^{2}(w,\overline{w})dwd\overline{w} | aa2fc1b813c25bd1 | train | human | |
(\begin{matrix}1\\ -1\\ 0\\ 0\end{matrix}) | 3b055d209a23e435 | train | human | |
lim_{n\rightarrow\infty}|\frac{a_{n+1}}{a_{n}}|=1 | 5729fd3697a2d1b3 | train | human | |
\int_{\Omega}f(x)dx | f78991d5ccca9b02 | train | human | |
N\frac{1}{\alpha\sqrt{\pi}}e^{-\frac{x^{2}}{\alpha^{2}}}dx | b4104c276cc16e60 | train | human | |
[A,Q]=-\frac{1}{2}Q | 029ac9f4d7f0eae9 | train | human | |
MPK=\frac{\partial F}{\partial K} | f2cf2d89fb1f0dad | train | human | |
\hat{x}\in X | 9b8b951c0f2eacff | train | human | |
\mathbb{I} | 8b2e5dd3a90d9b74 | train | human | |
(\begin{matrix}2m-2\\ m-1\end{matrix}) | bb3d9a36f61f8b1e | train | human | |
\tilde{n}=n+z^{2} | 41001dcbb33052d1 | train | human | |
\mu | b7a5076be4ce1ad0 | train | human | |
[\begin{matrix}2&2&4\\ 3&5\\ 6&6\\ 8\end{matrix}] | 7508435073207694 | train | human | |
H\rightarrow H^{\prime}=UHU^{\dagger} | c16066e61ea2bf50 | train | human | |
\tilde{M} | ad5b0ab1b67b67ad | train | human | |
\frac{d}{dx}7 | e57d1fce31db5756 | train | human | |
\tilde{A}_{9} | 5b56faf8bc9dcf15 | train | human | |
\hat{\nu} | 0c69d560d4423d2c | train | human | |
\sqrt{Z} | 29585a7c774a4320 | train | human | |
n^{2}=\frac{\rho}{\beta} | d5a2788a6d9b61d1 | train | human | |
\tilde{D}_{6} | d9b583497fb578b9 | train | human | |
\frac{\partial\rho}{\partial t} | 045ee321be83bee7 | train | human | |
[\begin{matrix}A&U\\ V&C\end{matrix}] | 404bbe4ccc037102 | train | human | |
(\begin{matrix}4\\ 2\end{matrix}) | d060cc656296556c | train | human | |
\tilde{O} | ec8661c793d6b46b | train | human | |
\int_{a}^{b}f(x)dx | e29288dcf9447315 | train | human | |
\frac{d}{dt}N_{2} | 6dc8c0cc562368d3 | train | human | |
\sigma_{E}\sigma_{t}\ge\frac{h}{2} | 7c123efd2d17430a | train | human | |
ln\frac{b_{n}}{a_{n}} | b35e43574a9d37e1 | train | human | |
\frac{\partial\rho\phi}{\partial t} | 8c6a06f825c313b9 | train | human | |
P_{f}=\frac{(\begin{matrix}r\\ 3\end{matrix}){(\begin{matrix}4\\ 1\end{matrix})}^{3}}{(\begin{matrix}52\\ 3\end{matrix})} | e5d73e2209f7120a | train | human | |
\frac{dx}{dt}=r\pm x^{2} | 6bb69a2f8dcb1c8f | train | human | |
h(x)-h(y)=0 | dbc4979e6846d369 | train | human | |
\overline{\phi+\psi}=\overline{\phi}+\overline{\psi} | f4953f03f121a151 | train | human | |
x_{k}[m]=\delta[m-k] | 821de442794ea0ea | train | human | |
(324\cdot7/5)^{(9-388)} | beed71e206c08530 | train | human | |
\frac{\partial V}{\partial Y}=\lambda | 9a83c2f319b730fb | train | human | |
\pm x=\sqrt{x^{2}} | d08dfe39d58ac088 | train | human | |
\frac{(7\cdot3)^{301}}{{10^{6}}^{3}} | 3ec416c9e454f088 | train | human | |
A_{-v} | 1b3c2a2ecf435233 | train | human | |
\int x^{k}d\mu(x)=m_{k} | 328a0845001543ab | train | human | |
T_{max}=\frac{\tau_{max}J_{zz}}{r} | 6d85269a844b86a7 | train | human | |
\hat{v}(x) | 7690929172672994 | train | human | |
r_{so}\approx\frac{\hbar^{2}|g|k}{m_{0}E_{G}} | 4d12331dda5eec88 | train | human | |
(t^{\prime},x^{\prime},y^{\prime},z^{\prime}) | e0c0420023165a23 | train | human | |
\hat{Y}_{1} | 63836badcaa85a1a | train | human | |
\frac{1}{\Gamma(\alpha)}\gamma(\alpha,\beta x) | 4774973657010814 | train | human | |
x^{x}(1+lnx) | 7d20b095e82f4c89 | train | human | |
\bigcap_{i\in F}N_{i}=\{0\} | a04d03e3db1c2e0f | train | human | |
GCV_{K}=e^{s_{ln}}-1 | 8878514105b2864e | train | human | |
u=(\gamma,\gamma\frac{v}{c}) | b6f9f410d68498a3 | train | human | |
[\begin{matrix}0\\ 1\end{matrix}] | ab8d83b9667ce545 | train | human | |
f(z(t))z^{\prime}(t) | 29c010c59da86da2 | train | human | |
a=[\begin{matrix}2\\ 0\\ -1\\ 1\end{matrix}] | d61c9c80dfcbdea5 | train | human | |
\sum_{q}\frac{A_{q}}{\omega_{2}-\omega_{0_{q}}+i\Gamma_{q}} | c2552f3b736c9363 | train | human | |
[\begin{matrix}ac\\ bd\end{matrix}] | 0323dcb385e197e8 | train | human | |
\sqrt{2q_{e}V/m} | 70040b33d7e2459c | train | human | |
O(\frac{1}{n^{2}}) | f5fbe6db2b134afa | train | human | |
\phi(\tau_{*}-\tau_{*c}) | ea28647601bb5168 | train | human | |
tan(V)=\frac{S}{D} | 850d22090438dc88 | train | human | |
\tilde{B}_{3} | 9817cc137699174c | train | human | |
\sum_{k=0}^{n}(\begin{matrix}n\\ k\end{matrix})^{2}=(\begin{matrix}2n\\ n\end{matrix}) | 1418e93f216fdd12 | train | human | |
\overline{D}f=0 | 77a3351d567ec0c6 | train | human | |
114^{467}/478^{1} | 8473bd34f441b1cb | train | human | |
g(y_{n}|X_{n},t_{n},\theta) | ec89b640990b294a | train | human | |
\frac{dV}{dt}=Q_{0} | 218c71e73e44992c | train | human | |
exp(i\theta H)= | a97f9d6b564acb33 | train | human | |
\tilde{P}\equiv det(P)P^{-1} | 03bee54cc7de96ba | train | human | |
g_{00}=1 | 4a0096d7c1d97b42 | train | human | |
d=\frac{\overline{x}_{1}-\overline{x}_{2}}{s} | 2b74bca243ba597c | train | human | |
\int_{-1}^{1}\frac{dx}{\sqrt{1-x^{2}}}=\pi | 5a8b37760b9308bb | train | human | |
\pi=\frac{5\sqrt{5}}{2\sqrt{3}Z} | d4df0ea10f422aee | train | human | |
e=\frac{F}{N_{A}} | d6302409553fe27e | train | human | |
\frac{n}{\frac{1}{x_{1}}+\frac{1}{x_{2}}+\cdot\cdot\cdot+\frac{1}{x_{n}}} | 3bff40ecec0a3148 | train | human | |
\omega_{c}=\frac{0}{\sqrt{V_{\frac{0}{2}}J_{\frac{0}{2}}}} | f158249dbbefdfb6 | train | human | |
f_{r}=(\frac{v+v_{r}}{v})f_{m} | aa9fb3d0888fe3c0 | train | human | |
\int_{-\infty}^{x_{1}} | a5e787eeb08479eb | train | human | |
W_{1-2}=\int PdV | fbb3d558df5ea020 | train | human | |
\bigcup_{\alpha<\pi}(0,\alpha) | 9539df88d48b4966 | train | human | |
\frac{\partial\rho}{\partial t}=0 | 3610e0930510aaac | train | human | |
\frac{178/4^{130}}{\frac{37^{9}}{322}} | 9c26d92b41c33f39 | train | human | |
f(i)\notin g([m]) | 8a153c5c07984c1e | train | human | |
M(f)=\frac{8\pi Vf^{3}}{c^{3}Q} | b32f7388740ad0de | train | human | |
z^{*}=\langle g|f\rangle | 5dde97ac2461b341 | train | human |
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