image imagewidth (px) 4 512 | latex stringlengths 1 188 | sample_id stringlengths 16 16 | split_tag stringclasses 1
value | data_type stringclasses 1
value |
|---|---|---|---|---|
v_{e}=\sqrt{2\mu/r_{p}} | 1127d85776f8f569 | train | human | |
(\frac{1}{425})^{\frac{5}{2}} | f77c45a341f28b71 | train | human | |
\begin{matrix}x&y\\ z&v\end{matrix} | c98753ff04d19459 | train | human | |
\tau_{g}(\omega)=-\frac{d\phi}{d\omega} | 9ae8f65c2ab4ac29 | train | human | |
(\frac{-b/a}{p})=-1 | 862a5395741b8d65 | train | human | |
\frac{3K(3K+E)}{9K-E} | d0dd2db78c852641 | train | human | |
\frac{3\cdot\frac{v}{c}cos\theta_{m}}{\sqrt{3-\frac{v^{5}}{c^{5}}}} | 7aa17b7e83952779 | train | human | |
RPF=\frac{U_{PAH}}{P_{PAH}}V | 01b89e66ae744e40 | train | human | |
\int L(\theta,a)p(\theta|x)d\theta | 6b9b0ebd61f84214 | train | human | |
cos\theta+jsin\theta=e^{j\theta} | 299793e381156aa2 | train | human | |
\prod_{x}f(x)=F(x) | 674026fab762d414 | train | human | |
y=xsin(\frac{1}{x}) | c7c39905f1b134e5 | train | human | |
\sqrt{390}^{\sqrt{7}}+\frac{6}{\sqrt{10}} | 324ad2729f968bea | train | human | |
\frac{2}{3} | 2c193d56dc88f28b | train | human | |
AB=(\begin{matrix}0&0\\ 0&1\end{matrix}) | fa52caabe51fe233 | train | human | |
Q=\int_{0}^{V}C(V)dV | 55ecac0f088787d5 | train | human | |
arccos(-\frac{7+4\sqrt{2}}{17}) | 92a408f91d8a5bb5 | train | human | |
\int\sqrt{x^{3}+1}dx | 50a70b327f0c1f97 | train | human | |
\frac{|z-a|}{|z|}=const | 44a00269c609f667 | train | human | |
{1\cdot157^{10}}^{(4-1)^{42}} | 8a6fdd17a2dbe207 | train | human | |
P(5) | 0084344ce0df556c | train | human | |
\frac{e}{pq}=\frac{k}{dg}(1-\delta) | 6dea7be95d9d1768 | train | human | |
\sqrt{4}^{\sqrt{4}^{\sqrt{4}^{\cdot^{\cdot^{\cdot}}}}} | 1af8336674b137d7 | train | human | |
\mathbb{A} | 242202aac686e352 | train | human | |
\frac{34^{4}}{(4\cdot7)} | 44de0fb79e526c61 | train | human | |
\sqrt{20}^{1}-(\frac{48}{204})^{302} | 8347a5c60c80e12f | train | human | |
\beta\sim N(\beta^{*},\Sigma^{*}) | c70c50de36b2405d | train | human | |
\int_{a}^{b}f(x)g^{\prime}(x)dx | 3a416aeb6522cbb8 | train | human | |
f(x):=\int_{0}^{x}\omega | fbb56e2c724de618 | train | human | |
v^{b}(x,t) | 68d13eb1299d629b | train | human | |
\frac{(210^{9}/4)}{\frac{(\sqrt{9}+317)}{\sqrt{5}}} | 686779f7f3a6e6e8 | train | human | |
s\{\begin{matrix}6\\ 3\end{matrix}\} | 76e60062efad0420 | train | human | |
log_{3}243=5 | c5fe613e284f4391 | train | human | |
(\frac{q}{p})=(-1)^{\mu} | 212b973bddcf40d2 | train | human | |
y_{2}=\frac{\partial y_{b}}{\partial c}|_{c=\alpha} | ae2b559b4836a908 | train | human | |
N=\{a\}^{*}\times\{b,c\}^{*} | 559b0af7190696cb | train | human | |
{(5-169)^{240}}^{8/7} | 053bfbb560f47247 | train | human | |
x\sim N(\theta1_{n},I) | a9affd42fcf52b13 | train | human | |
V_{LJ}(r)=\frac{A}{r^{12}}-\frac{B}{r^{6}} | f2b2c4f8c9114158 | train | human | |
\frac{\frac{406}{277}}{9^{164}-2} | 59b97097af64033c | train | human | |
r^{2}=\sum_{i=1}^{n+1}(x_{i}-c_{i})^{2} | 42b74735c42cf320 | train | human | |
\sum_{r\ne s}\frac{u_{r}\overline{u}_{s}}{\lambda_{r}-\lambda_{s}} | 2f6bb8ce1fa94fc3 | train | human | |
(\begin{matrix}m\\ 2\end{matrix}) | a3c7dd636b170c84 | train | human | |
\overline{x}(t) | 43521dd7b7fc5a38 | train | human | |
O(n(d_{f}^{2}+d_{g}^{2})) | a5247afad9148cbe | train | human | |
\hat{z}+\Delta\hat{z} | f900db6f10d9b6ea | train | human | |
\Xi_{g}^{d} | 1075ee511dbea626 | train | human | |
V_{6}=\frac{\pi^{3}r^{6}}{6} | 41c09c71a8f839d4 | train | human | |
E=\frac{sc^{9}}{\sqrt{1+\frac{d^{9}}{c^{9}}}} | d2c2730ffbb25e52 | train | human | |
D=\epsilon_{0}E+P | 0569f27d33286d34 | train | human | |
c_{xy}=\frac{s_{xy}}{m_{x}m_{y}} | c83f31265e4e2c8c | train | human | |
\frac{Ampere}{Meter^{2}} | 374b3bd56222ee21 | train | human | |
(=\hat{\beta}\hat{\alpha}) | 15d0ee7847cea8d0 | train | human | |
\frac{100}{\sqrt{4}} | 7fa095dbd5945dee | train | human | |
H^{cc}=\frac{c_{aq}}{c_{gas}} | 1fcfd7f831016b0c | train | human | |
\chi_{i^{t}} | 466116e031c46ad8 | train | human | |
\frac{1}{3}x^{3}-\frac{4}{15} | e12489d68de0134c | train | human | |
[\begin{matrix}a\\ b\\ d\end{matrix}] | 7b7af2850623a219 | train | human | |
s_{p}-s_{q}=\sum_{n=q+1}^{p}x_{n} | f446b8107263782a | train | human | |
\overline{A^{2}} | 99bde7418bcc069e | train | human | |
I=\int r^{2}dm | ef11072f42536e21 | train | human | |
a^{s^{n^{\cdot^{\cdot^{\cdot}}}}} | 5b9b36ad3b2037e8 | train | human | |
\tilde{V}_{i}^{b} | 94dbc2a12848e9c6 | train | human | |
\frac{10}{112}-{104^{40}}^{6} | 1e2b980de638b4f9 | train | human | |
2+15\sqrt{\frac{2}{17}} | 8f82f19c1e0fc4f9 | train | human | |
\Lambda_{\gamma}^{2}+\frac{\partial^{2}}{\partial\theta^{2}}=0 | 852ba7e7adbf293b | train | human | |
t=ln(1+\delta)>0 | 4d942ef73de504bf | train | human | |
\frac{\frac{\sqrt{299}^{170}}{89}}{\frac{8}{376}-1} | 7269ae08a2a767fb | train | human | |
P^{\prime}=(\frac{m}{n},0) | 5cdbbf7274e3d106 | train | human | |
e=\sqrt{h^{2}+(a-b)^{2}} | 19e5f3e706232973 | train | human | |
40\times\frac{67}{16} | 65e49f3086e76b03 | train | human | |
\int_{-\infty}^{\infty} | 072937b46431e853 | train | human | |
0\notin\mathbb{N} | 7612974f5adc7fef | train | human | |
\int K(x-y;T)dy=1 | 30d4f6f846bf242b | train | human | |
H\ge T^{27/82+\epsilon} | 41bfa2903b769606 | train | human | |
0\le\underline{d}(X)\le\overline{d}(X)\le1 | 4aff8079cfd12e1e | train | human | |
\mathbb{W} | 61ec140d0f60aa83 | train | human | |
\tilde{f}(x,y) | b1dd14ccfaba59c0 | train | human | |
(\begin{matrix}n\\ n/2\end{matrix}) | f5b6abfe9aa3daae | train | human | |
S_{B}=\frac{Ak_{B}}{4l_{P}^{2}} | f6a98af2246fff29 | train | human | |
\underline{u} | 6250765873e320c7 | train | human | |
\sum_{n=1}^{\infty}\frac{1}{n^{2}}=\frac{\tau^{2}}{24} | 67bf770c888cdbad | train | human | |
x_{0}=1 | 8593f5d403469119 | train | human | |
n![z^{n}]g_{m}(z)=[\begin{matrix}n\\ m\end{matrix}] | 67cdff06b7fb5a18 | train | human | |
R=e^{\frac{B}{2}} | ced022f60d20cfc0 | train | human | |
(\begin{matrix}1&N\\ 1&1\end{matrix}) | 9a5d1c439d15626f | train | human | |
0\le N<(\begin{matrix}n\\ k\end{matrix}) | c701be29ee4247cf | train | human | |
\pi h^{2}=\frac{16\pi}{3} | 78a0eb3e9c282a98 | train | human | |
\frac{(167+446)}{(\frac{\sqrt{2}}{276})^{443}} | 4d9952dbae2e03d9 | train | human | |
k=k_{0}e^{\frac{-E_{a}}{RT}} | 0a86c24f2be86451 | train | human | |
p_{y,0}=\frac{e\rho_{0}B_{0}}{c} | c31bdece77314c70 | train | human | |
\hat{2} | af700f524a0e0884 | train | human | |
mv\frac{dv}{dt}=H-fv-kv^{3} | 9693f448c085c040 | train | human | |
\prod U_{i} | 27b1cb1bdc7d7ef6 | train | human | |
x\sqrt{3} | 5853f3b1854220f0 | train | human | |
U=\frac{\partial l}{\partial\mu} | 1e44a7e0e557145f | train | human | |
\frac{\partial L}{\partial t}=0 | e4fb299e4e1a5454 | train | human | |
d=\frac{D}{1+\sqrt{P_{B}/P_{A}}} | 955a41eab6488d94 | train | human | |
\int_{-1}^{1}\frac{1}{x}dx | 393f1ddb42a9cee0 | train | human | |
\frac{du}{dx}=6 | 8079de753158ad80 | train | human |
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