Split (3)

train · 230k rows

latex stringlengths 1 188	sample_id stringlengths 16 16	split_tag stringclasses 1 value	data_type stringclasses 1 value
Z_{\gamma}^{f}	b97b60bca7f63b12	train	human
\rho(u)=\frac{1}{\sqrt{1-\frac{u^{4}}{r^{4}}}}	161b48bbf22eda3a	train	human
F(X)=\prod_{i=1}^{s}f_{i}(x)	79863d2785203fdc	train	human
(X_{1}+\cdot\cdot\cdot+X_{n})/\sqrt{n}	c9dcf993c83c9c29	train	human
A^{}=\sqrt{\gamma RT^{}}	e1cbcb678c883f49	train	human
A=(\begin{matrix}0&1\\ 4&0\end{matrix})	53157f075aa240e3	train	human
\sqrt{-i}	517a83e45dad3b6f	train	human
\sqrt{4}^{\sqrt{4}^{\sqrt{4}^{\cdot^{\cdot^{\cdot}}}}}	8148403a559f05b4	train	human
\frac{\partial\phi}{\partial t}=D\Delta\phi	a6e8a2495fce7da7	train	human
\int\frac{dx}{lnx}	b9ca6860de1ad557	train	human
\frac{(\frac{MW}{N_{0}})}{\rho_{liquid}}	d5ddc36c479f1c20	train	human
Lan_{F}X	f4f0d5f69b753d1e	train	human
\tilde{\nu}=0	3e53453ad9f75dd9	train	human
A=(\begin{matrix}2&0\\ 0&1\end{matrix})	f067ca8917ce94ff	train	human
z=\frac{2+sT}{2-sT}	181651a0c7531e3e	train	human
Z=\int_{x}f(x)dx	1ff9d844a37ed20d	train	human
x=\sum_{k=1}^{3}\sqrt{k}	975ccfb9e3271c70	train	human
[\begin{matrix}17&23\\ 11&7\end{matrix}]	b1e731d929da1dad	train	human
R[Jt]\subseteq R[It]	ab8287e9d23e9d75	train	human
X=[\begin{matrix}w+ix\\ y+iz\end{matrix}]	f3dd3b99bba97261	train	human
\frac{\frac{7}{448}}{\frac{7}{47}}	663cba774a4b5960	train	human
(\frac{a}{b}-\frac{c}{d})rel0	119c5d792c0be2fb	train	human
\beta_{j}^{-}=-min(\beta_{j},0)	4fa431be7266a893	train	human
2^{2^{2^{f^{a}}}}	481587aeb4e85725	train	human
\frac{\partial}{\partial t}\rightarrow-i\omega	c033d71970a8b28f	train	human
nDCG_{p}=\frac{DCG_{p}}{IDCGp}	85921c1497949d7f	train	human
\|\Lambda\|_{M}^{-s}	60336c25ab6ba2ce	train	human
(266\cdot\sqrt{292})+263-\sqrt{10}^{7}	4903a17e477401f7	train	human
(\begin{matrix}1&N\\ 1&1\end{matrix})	11a805eee4a5bdc9	train	human
\hat{f}(t)	2e0b777d88f6c9af	train	human
A(x)>x^{\sqrt{2}-1-o(1)}	aba3561464048630	train	human
\frac{\partial f}{\partial\theta}=f\frac{\partial logf}{\partial\theta}	d77d201541b37190	train	human
f_{n}(r)=(1+r/n)^{n}	4863adf072f0240b	train	human
(-1)^{p_{4}r_{4}}	47ceff58ae802274	train	human
\sqrt{\frac{1}{m}}\sigma	63b76316a33efda5	train	human
f_{s}\sim\int f_{s+1}	4c12f876077a2bda	train	human
-\int E\cdot dl	cd3cf4f389d38baf	train	human
\|t\|=\frac{1}{2}	5ac693d7768b4c8d	train	human
Da=kC_{0}^{n-1}\tau	b1095afd612f734e	train	human
(\begin{matrix}5\\ 0\end{matrix})	6e8e6bbb31d8ab28	train	human
\hat{K}(n)	3023bc446923bc02	train	human
\frac{r^{\prime}}{\sqrt{0+\frac{r^{2}}{9}}}\ge0	21d00e750f28fb96	train	human
\underline{u}_{D}*\approx\underline{u}_{1}	60156eb43b892964	train	human
y^{n}<xB^{k}	23f4f2abe25381ab	train	human
\Sigma_{n=0}^{\infty}\frac{x_{n}}{2^{n}}\in X	d79e4f2cda76a50f	train	human
\frac{(\frac{89}{1})^{3}}{(413+2)}	c499dabf8c1eae8e	train	human
\hat{\phi}	eb718d184e86be40	train	human
\hat{r_{i}}	a976b260502e15ba	train	human
\frac{4}{8}+\frac{6+191}{5}	d1b5b47495d00df3	train	human
\int^{c\in C}F(c,c)	c36aa10ca7a5a515	train	human
\tilde{B}	3af273e5d0a6f1a6	train	human
A=(\begin{matrix}2&0\\ 0&1\end{matrix})	a738e2f0a74e6d0a	train	human
3(16-8\sqrt{2})r^{2}	4b5d20bd7a303a10	train	human
\frac{x}{x+1}	4eb072227025c60e	train	human
\delta\int d\tau=0	ab0282700b26c181	train	human
(\begin{matrix}n\\ 2k\end{matrix})	d7623899e34dcae9	train	human
\sigma Q_{D}(l_{A}a_{B}+l_{B})l_{D}	cb1f14f961a3f461	train	human
\sqrt{390}^{\sqrt{7}}+\frac{6}{\sqrt{10}}	021225c29dd01fc2	train	human
J^{(\zeta_{9})}	f1899a0a11181395	train	human
p_{i}(s_{h})\ne p_{j}(s_{h})	ebfc08147cfe996b	train	human
\frac{d}{dt}\frac{\partial L}{\partial\dot{q}_{i}}-\frac{\partial L}{\partial q_{i}}=0	1667544d13ac8846	train	human
\int_{\gamma}dz=0	dc83e7e744d44dce	train	human
e^{X}=\sum_{k=0}^{\infty}\frac{1}{k!}X^{k}	7ac772ae3bd635f8	train	human
A=\frac{s^{2}n(tan(i/2))}{4}	89985e6bbdd76548	train	human
\overline{S}_{p}	777fa31b37c8818a	train	human
3/\tilde{4}	9095877d9b04ca5c	train	human
\varphi=(1+\sqrt{5})/2	f63ad7c982dfc470	train	human
\int_{-\infty}^{x_{1}}	d79132485c104738	train	human
\frac{x:\alpha\in\Gamma}{\Gamma\vdash x:\alpha}	4439d1af0a3c745e	train	human
\frac{\frac{\frac{\sqrt{352}}{\sqrt{111}}}{7}}{{4^{336}}^{294}}	88599f913bed3db2	train	human
7^{7^{\cdot^{\cdot^{\cdot^{u}}}}}	d59240e1201d4d4f	train	human
V^{+}-V^{-}	2c9c806bd440ba34	train	human
\|z\|=\sqrt{a^{2}+b^{2}}	f691e3697a5a5fb6	train	human
\frac{\partial H(x)}{\partial x}B(x)	1fcc9bcb6a0aa488	train	human
(\begin{matrix}i\\ u\end{matrix})	4029121b67f5329d	train	human
\frac{\nabla F}{\|\nabla F\|}	ad442ca72ed03db8	train	human
f_{xx}=\frac{d^{2}f}{dx^{2}}	f1e69fffa644afcd	train	human
\frac{1}{p^{*}}=\frac{1}{p}-\frac{1}{n}	b5630a5feaaeb586	train	human
X:=\prod_{i=1}^{n}X_{i}	d8adcd2eaca1dab2	train	human
(122\cdot80)/\frac{4^{409}}{\sqrt{449}}	e6bfd1e30238d1d2	train	human
\frac{(\frac{7}{51}\cdot3)}{464-480^{\sqrt{86}}}	6a177be75c9b1ea4	train	human
s_{n}=\prod_{i=1}^{n}\pi_{i}	181e1768472c3a8d	train	human
(1+x)^{\alpha}\approx1+\alpha x	ad2a5c1ce68067cb	train	human
\frac{11}{10}480	3ecb574ebf494991	train	human
J=(\begin{matrix}0&1\\ -1&0\end{matrix})	28b787f83e5a2435	train	human
(\begin{matrix}m\\ r\end{matrix})	196450110bc59882	train	human
2(\begin{matrix}n\\ k\end{matrix})	162906c7cad7fbfc	train	human
[\begin{matrix}A&U\\ V&C\end{matrix}]	d5e05ce10bfe612e	train	human
\varphi=(1+\sqrt{5})/2	a34427f1ec7caac3	train	human
\frac{\partial f_{i}}{\partial x_{j}}	ac18462299fc2a09	train	human
z_{t+k}	97a82067f41af334	train	human
\int F(x,y,y^{\prime})dx	fe85a5b503a08454	train	human
\overline{x_{i}}	3d60255516a27795	train	human
((107\cdot51)^{155}\cdot(1+8))	08b6c4f02e06d90b	train	human
\|p\|	66c2fef466a461a8	train	human
\Rightarrow\frac{\partial P(z)}{\partial z}=\rho g	039bb2ed5fce8bbe	train	human
-\frac{8}{x^{6}\sqrt{8-\frac{8}{x^{6}}}}	054b6a5e6788f08d	train	human
\tilde{E}_{0}^{a}=0	7947461f906d6d96	train	human
f(x,y,z)=w^{2}	265a44fe8a006296	train	human
w[T^{*}]y	a7538678e6baa27d	train	human

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