Split (3)

train · 230k rows

latex stringlengths 1 188	sample_id stringlengths 16 16	split_tag stringclasses 1 value	data_type stringclasses 1 value
V(\tilde{\beta})	47f7bccab32dc3b3	train	human
GL(V)\times S_{n}	1fe782f3cfdb576c	train	human
\tilde{f}:X\rightarrow M_{f}	3e223198b4dd0d3e	train	human
\{g_{1},g_{2},g_{3}\}	df7b0ba66278feaa	train	human
\frac{418^{163}}{(197^{4}\cdot10)}	1f8c6fc99965fda9	train	human
g(z)=\frac{1}{f(z)-\mu}	ddbb048e0072b06d	train	human
(\begin{matrix}-1&-1\\ 1&0\end{matrix})	5529a28442a3dc78	train	human
(\frac{6}{194})^{\frac{\frac{397}{5}}{86}}	b1681d8e02998814	train	human
\Xi_{q}^{z}	19d93323adcbc41f	train	human
(\begin{matrix}n\\ k\end{matrix})	1f44abbf8c209ae9	train	human
((\frac{5}{17})^{1})^{(270^{2}-8)}	481966bfb89b0170	train	human
\int vds	605e2ab6ec9cbd5d	train	human
u_{0}=\frac{4}{(n\pi)^{2}}dQU_{el}	05607d04dfabb922	train	human
w=\sum_{i=1}^{m}\alpha_{i}u_{i}\otimes v_{i}	c4f882c57c31075c	train	human
Z_{y^{\beta}}	7adb1a9ee3b99bdc	train	human
\beta_{s+2}(q)=\frac{\lambda_{s+2}(q)}{q}	9692d94c6da19b1e	train	human
t_{1}=\frac{AB}{c+v}+\frac{DE}{\frac{c}{n}-v}	acb4b9a6f178f9fb	train	human
0\notin F	970d78229d6ae142	train	human
(\begin{matrix}1&d\\ 0&1\end{matrix})	541b298e69c8ee7c	train	human
\nu	e709cbc456ffba96	train	human
log_{b}(\sqrt[y]{x})=\frac{log_{b}(x)}{y}	62c4c94aad313640	train	human
E=\frac{mz^{3}}{\sqrt{1+\frac{f^{3}}{z^{3}}}}	8ccd0874a8c9e5d0	train	human
\overline{lim}	e48c7dcd44b0a566	train	human
\frac{\partial u}{\partial y}	ec78011f9f137af6	train	human
A\overline{B}	991c85c32bcb3062	train	human
z=-1(L_{3})	2e870714c27cba01	train	human
\frac{3}{4}V_{g}+V_{e}	84f5050333f3c083	train	human
\int_{L}f(z)dz	4938cf8feab02a50	train	human
(\frac{248}{10}/372-43)	8a314f384ee0045a	train	human
\frac{du}{dy}	21e0d4756e4cc230	train	human
\vec{r}=[\begin{matrix}1\\ 1\end{matrix}]	f08f3eb5b06cd29d	train	human
3\frac{dy}{dx}=5y^{\frac{2}{5}}	c1dbecb8e2be50b3	train	human
\|\mu_{3,1}\|>\frac{1}{2}	197e98232402efed	train	human
P=P_{0}exp(-\frac{z}{H})	0bdb851944c4943a	train	human
P=K\rho^{1+1/n}	512cb24c84ab7b40	train	human
\tilde{C}_{9}	f9fc9e19e7d719a0	train	human
\hat{c}_{V}	7fabf7676f78a2ce	train	human
(\begin{matrix}a\\ a+1\end{matrix})=0	2b6417c1fe489d8a	train	human
\int ydA=0	0a1ca331dbcbbec1	train	human
\frac{dy}{dx}=0	12cb7ac361ddb9df	train	human
\gamma_{2}=2/(1+\sqrt{2})	13c7c91616763a6b	train	human
\dot{S}_{i}=-\int_{1}^{2}\frac{\dot{V}}{T}dp	1b93327deed5d81b	train	human
\alpha=\frac{R_{100}-R_{0}}{100R_{0}}	162a6ac8303a3f44	train	human
F=2\pi\int_{-1}^{+1}I\mu d\mu	4f486c9140057807	train	human
\sqrt{\frac{5}{126}}	950566418b8d8e5d	train	human
m=(\frac{t_{2}}{n})	7c32a6c77e33e977	train	human
\frac{1}{4}+\frac{1}{4}=\frac{1}{2}	54ecd1584329ec81	train	human
T_{h}\cdot x=0	d484f15f8f423278	train	human
\tilde{u}(x)	94d3a01f4f91f5a9	train	human
60^{\circ}\cdot(2-\frac{R-B}{G-B})	b38c26bafc625416	train	human
\int_{A}(g-f)d\mu=0	0353063fe25bc4a9	train	human
\sum_{i\in\mathbb{N}}X^{i}Y	8ea1c2a49921f8d4	train	human
(\begin{matrix}0&0\\ 0&1\end{matrix})	110e39a23175ba05	train	human
\eta=\frac{1}{\mu_{0}\sigma_{0}}	718f6b7f74f83fb5	train	human
\sum_{k=2}^{m/2}\frac{m(m-k-1)!}{(m-2k)!k!}	58340d2303199118	train	human
b^{n}=\frac{V_{n}-U_{n}\sqrt{D}}{2}	0d35029560860783	train	human
P_{3}=(0,-72,2\sqrt{3},12)	e2a88454346d81a6	train	human
\int_{a}^{b}f(x)g^{\prime}(x)dx	43dfdddec08f9c86	train	human
(352+\sqrt{2})^{((2+361)+\sqrt{2})}	c0d7b4c87640a263	train	human
\frac{{(1-e^{-\alpha})}^{2}}{1+2\alpha e^{-\alpha}-e^{-2\alpha}}	387fbde52292ffa0	train	human
lim_{b\rightarrow0}\frac{a}{b}	86e5a8b6a8b41bb0	train	human
\hat{4}	503aa97cdf35beef	train	human
[\begin{matrix}1&R\\ 0&1\end{matrix}]	7a300985aad006cd	train	human
g_{(x_{1})}	78acb1cd04a28e6b	train	human
(m,\epsilon)	53e0da18f282642e	train	human
B([0,\infty))	ae255ae5ceedb62e	train	human
Q_{ROT}^{\prime}\rightarrow Q_{BEND}^{\prime}	0dda8cfa6497c976	train	human
\int dy=\int f^{\prime}(x)dx	ef7cdebb9ba47779	train	human
\mu=\frac{2N_{+}N_{-}}{N}+1	ff43f222c6baa2fc	train	human
\|0\rangle=[\begin{matrix}1\\ 0\\ \end{matrix}]	b013743dd7c76c86	train	human
[x,x+O(x^{21/40})]	0d929374b5c71ff5	train	human
[\begin{matrix}0\\ 1\end{matrix}]	fb6c677e4d63785e	train	human
lim_{n\rightarrow\infty}T_{n}=T	c7c4577ce79bb347	train	human
W=P_{p}/(\hbar\omega_{p})	a53f2aadcd94c4c9	train	human
(\begin{matrix}9\\ 4\end{matrix})	0a863b72dd6da0a3	train	human
d\tilde{n}/d\eta	0721790118709f29	train	human
\lambda	fd34339e7eb797cd	train	human
f(v)=\lambda(v,...,v)	d0be3dad421d5002	train	human
f(\epsilon_{p})	120339ed522753e8	train	human
(\begin{matrix}p\\ n\end{matrix})	624009d81ccc6a3e	train	human
\tau_{w}=\frac{1}{8}fkpMa^{2}	11a9f7bdd4fb53e1	train	human
R_{T}=\frac{k\sigma_{T}(1-\nu)}{\alpha E}	97e560df2251fb7b	train	human
5^{\sqrt{189}}-381\cdot(\frac{197}{10})^{5}	938ecff9a43989c5	train	human
V=\frac{dW}{dq},I=\frac{dq}{dt}	b31d1f2cc1f1fadf	train	human
\int fdg	ed8f6118d8fcae38	train	human
\tilde{E}_{6}(q)	42955777672b3073	train	human
\tilde{f}(x,y)	3da53be2c87e01c3	train	human
\frac{\partial F_{k_{1}}}{\partial\phi}	19e26d626304d583	train	human
\int dV\|\Psi\|^{2}=N	27c5336db0cd1241	train	human
T^{a}=\frac{\lambda^{a}}{2}	57ca7b2c44234a25	train	human
\tilde{C}_{5}	52a109b799fe74bb	train	human
4^{\sqrt{8}}+10-\frac{10}{9}-8	93508e2dc460c14d	train	human
q=\frac{m\cdot b}{\sqrt{6-\frac{b^{7}}{c^{7}}}}	e01c36e666f3809f	train	human
J=-D\frac{\partial C}{\partial x}	48232605e1e66b91	train	human
\frac{\frac{(39\cdot3)}{6}}{189^{220}}	c625fd1d26600b81	train	human
\Delta T=\frac{T_{1}}{T_{2}}	9bf5f8c43bfd9295	train	human
\tilde{C}_{2}	94f40453f997846a	train	human
\|\begin{matrix}a&b\\ c&d\end{matrix}\|	652f8e136cd8edec	train	human
\frac{\frac{\frac{5}{322}}{10}}{(\frac{\sqrt{10}}{70})^{8}}	f135a4bf275ee897	train	human
(\overline{x})	d10417b526e9ef00	train	human

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