Split (3)

train · 230k rows

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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