image imagewidth (px) 4 512 | latex stringlengths 1 188 | sample_id stringlengths 16 16 | split_tag stringclasses 1 value | data_type stringclasses 1 value |
|---|---|---|---|---|
2\sqrt{\int_{0}^{t}D(t^{\prime})dt^{\prime}} | db40e0a17330f009 | train | human | |
argmax_{W}\prod_{v\in V}P(v) | 766833ab375c4652 | train | human | |
(\frac{\sqrt{9}}{5})^{\frac{10^{10}}{10}} | 27f80be913e51fae | train | human | |
((\frac{\sqrt{141}}{5})^{9})^{\frac{6}{159}/10} | e3660af107a9424a | train | human | |
\nabla\cdot J=-\frac{\partial\rho}{\partial t} | ae0cea36ca5ebc0f | train | human | |
S_{i}-S_{j} | 8148cbccf4ed3b29 | train | human | |
\int_{-\infty}^{x_{1}} | 21c3c06a55a28e4e | train | human | |
\frac{d}{dt}\frac{\partial L}{\partial\dot{x}}=\frac{\partial L}{\partial x} | fcbec8eb0849953c | train | human | |
-\int E\cdot dl | 71a78603a8c3e583 | train | human | |
\zeta(s)=\overline{\zeta(\overline{s})} | 86092e07a2ad4421 | train | human | |
\underline{c} | c841581292c40fe6 | train | human | |
(i\cdot n)\hat{f}(n) | 3708d35a83a11033 | train | human | |
(\frac{2}{3})^{\frac{1}{3}}\approx0.874 | 51cd0ae092726ebe | train | human | |
G^{(i)}\ne G^{(j)} | 8cbe7f3c3b1e121d | train | human | |
\frac{1}{z^{n}} | e8062b4d4c6c88ef | train | human | |
t_{x}^{3} | 82e090e33498fadf | train | human | |
\hat{x}^{\prime} | 8fa457fa96472817 | train | human | |
\sqrt{\Gamma} | ab6c71659a114f26 | train | human | |
\tilde{G}^{K} | 6a2627ee8dd78682 | train | human | |
(\begin{matrix}4\\ 3\end{matrix})=4 | fe3f5812b284bb42 | train | human | |
\frac{\frac{10}{356}}{302}-(\frac{1}{1})^{1} | 4e462730ffabe5aa | train | human | |
\tilde{C}_{n} | d539f3ee7750f1c4 | train | human | |
(\frac{b}{a})=1 | f71b78e651245e09 | train | human | |
w=\frac{n!}{\prod_{i=1}^{n}n_{i}!} | b5dd4e06b15e45e2 | train | human | |
{193^{8}}^{2-199} | b686a79a650e6c4b | train | human | |
-1=\frac{1}{-1}=\frac{-1}{1} | 4880edd6c7621d4e | train | human | |
\sigma_{ic},i=1,2,3 | 83a3c0a4a4df3f6a | train | human | |
u^{\alpha}u^{\beta}g_{\alpha\beta}=-c^{2} | a3191cc3a7335a62 | train | human | |
\int\frac{dx}{lnx} | 3848c657df07ccc9 | train | human | |
\hat{t},\hat{\omega} | 6269f186f56f5918 | train | human | |
w\notin\{u,v\} | 0e9176db9bebbfce | train | human | |
R_{z}(\phi)=(\begin{matrix}1&0\\ 0&e^{i\phi}\end{matrix}) | 3697748e08db03e7 | train | human | |
d\approx\frac{ct}{2} | 10b96111d7fcc09e | train | human | |
t\sqrt{m} | 793e791a264eb145 | train | human | |
\vec{r}=\vec{r}(u,v) | fc93c71eaf3d54b5 | train | human | |
N_{e}=\frac{\sqrt{kTC/2}}{q} | 3ee360de640a37b7 | train | human | |
C_{X\tilde{Y}} | a648ef38612c58dc | train | human | |
I(v)=log_{2}\frac{|C|}{|C_{v}|} | a2f4fecd293c9336 | train | human | |
(68^{375}\cdot\sqrt{493}^{9}) | 0695b187735cf9bf | train | human | |
\Psi_{\theta}^{g} | c6ba7ff2fa0c2c3e | train | human | |
\hat{U}_{q} | 7824dcb9ffabb2a8 | train | human | |
H_{p+1}=\prod_{j=1}^{p+1}U_{j} | 78b7b9280d0152e8 | train | human | |
(344-386)\cdot479^{\frac{\frac{\sqrt{495}}{108}}{7}} | c086d70f99234409 | train | human | |
\hat{K}_{q} | 24d8a18a08e7be4c | train | human | |
(\begin{matrix}i\\ j\end{matrix}) | d9eaba6e99bfbcfd | train | human | |
\frac{dS}{dT} | d92054498d8b73ff | train | human | |
\sqrt{10} | 23af830af4e80bea | train | human | |
I_{0}=\frac{\pi\Delta}{2eR_{n}} | 05454fb9134dffd6 | train | human | |
[f]g | 18ba1bae515ff9d8 | train | human | |
x=\frac{11}{6}\pi | fc9e116624a6e1f7 | train | human | |
280^{280^{280^{280^{287}}}} | 35eff6e0c38b5706 | train | human | |
G\underline{A} | de60a86e53bca4c5 | train | human | |
[\begin{matrix}1&2\\ 1&1\end{matrix}] | b21326bca90154c2 | train | human | |
X=t^{t^{t^{...^{t^{i}}}}} | e4ef7c8cb9d8dc45 | train | human | |
\sqrt{2}^{(\sqrt{2}^{(\sqrt{2}^{(\cdot^{\cdot^{\cdot})))}}}}=2 | e7cbe26b03f72d43 | train | human | |
\frac{\sqrt{157}}{394}\cdot(90\cdot1) | 7023abbb30ad4721 | train | human | |
\int f^{+}d\mu | 86dcccaba729ad44 | train | human | |
(\begin{matrix}U_{1}\\ U_{2}\end{matrix}) | 8d06c4dd25fb4b8c | train | human | |
6\sqrt{2}\approx8.49 | a578ce23d6396f0a | train | human | |
\Delta_{k}=\frac{y_{k+1}-y_{k}}{x_{k+1}-x_{k}} | bb563b074aaa67fc | train | human | |
?\times3=6 | 0cd84029c37da68c | train | human | |
\frac{dr}{dt_{r}} | b40ad5bdf2ac8d8c | train | human | |
|H_{AB}| | 68fed07281d64594 | train | human | |
\cdot e^{-\frac{\omega^{2}}{2a^{2}}}H_{n}(\frac{\omega}{a}) | f0b6661be90bf818 | train | human | |
b_{0}=-\infty | a5c2f4fcfda8e89b | train | human | |
7^{7^{7^{7^{7}}}}-8 | 09513dcc6ba60b26 | train | human | |
((w_{1},z_{1}),...) | 123f17532621d6d0 | train | human | |
\overline{A}D | dad842b4c3384576 | train | human | |
(\begin{matrix}a&b/2\\ b/2&c\end{matrix}) | 4128b3acbd58825c | train | human | |
\frac{d^{2}P}{dt^{2}} | 0b7bb41752165263 | train | human | |
p(n)\approx(\frac{20}{30})^{30-n} | 1ea356f1c5372171 | train | human | |
\hat{r} | 14447c0ea41f4f5e | train | human | |
I_{n}t-A | 615b55790c89bb1c | train | human | |
\int fdx | 50cc43894f4e980b | train | human | |
[\frac{S(X_{1})+S(X_{2})}{C(X_{1})+C(X_{2})}] | 6cb26accd90be0f5 | train | human | |
a=\int\frac{da}{dt}dt | efd06e4b4e1d4ec6 | train | human | |
\eta_{n}^{N}=\frac{1}{N}\sum_{j=1}^{N}\delta_{\xi_{n}^{(N,i)}} | cc440de81e7925c4 | train | human | |
E=\frac{m+y^{7}}{\sqrt{1-\frac{|e|^{7}}{y^{7}}}} | f60012ea4673ffc0 | train | human | |
\prod_{i}C_{i} | 0fc34f85682bbc53 | train | human | |
\int\frac{e^{x}}{x}dx | cf2661d1c46144ef | train | human | |
a,\tilde{a} | a4d8b77744394e15 | train | human | |
\hat{Y}_{j} | 5aa8e6b323e01955 | train | human | |
\hat{=} | ceacf121121ce1e3 | train | human | |
(5-\sqrt{5})/2 | fa7751f315f0481a | train | human | |
\sqrt{\frac{a}{b}}=\frac{\sqrt{a}}{\sqrt{b}} | 9fdb457b866b3ed8 | train | human | |
\sqrt{xi} | 6d3b3f6bca84340a | train | human | |
I=\int Fdt | e7ea1065679bd327 | train | human | |
f(\hat{x},\theta)>f(x,\theta) | 18ad764f3c86b4e6 | train | human | |
\int_{0}^{t}(ms)^{2}ds | 7151ab40d2e8489e | train | human | |
g | e5eaa2e634590c69 | train | human | |
\int_{2}^{5}x^{2}dx | 9d65ef013f2c72b4 | train | human | |
\frac{dQ}{dt} | 2e7237d7ac91f9b8 | train | human | |
Q | 501967fed5c99716 | train | human | |
(\begin{matrix}1&t\\ 0&1\end{matrix}) | f676eb327b513477 | train | human | |
f^{b^{c^{-^{-^{-}}}}} | 35d12e5c16c5b014 | train | human | |
a\hat{x},a\hat{y},a\hat{z} | 9ec6971f454ed0da | train | human | |
\frac{d\nu}{d\mu} | 4ba45bfa0503dd1f | train | human | |
q^{-1}=\frac{q^{*}}{||q||^{2}} | 824299d09794b148 | train | human | |
10^{k}=Q*D | 4703a5391bfdf150 | train | human | |
g(K)=\frac{r^{K}}{1-r} | d02ef9c26e99d852 | train | human |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.