Split (3)

train · 230k rows

latex stringlengths 1 188	sample_id stringlengths 16 16	split_tag stringclasses 1 value	data_type stringclasses 1 value
A=\int2\pi R(s)ds	99e367621a0c4f42	train	human
\overline{O_{L}P}	00219f9279a29e24	train	human
0=\frac{\dot{Q}_{L}}{T_{L}}-\frac{\dot{Q}_{L}}{T_{a}}+\dot{S}_{i}	98d1ac850eb973ae	train	human
\int dy=\int f(x)dx	827c12f0563ae277	train	human
=\frac{e}{\sqrt{\alpha}}	2d1e76fb407efdce	train	human
D_{\mu}=\partial_{\mu}+\Omega_{\mu}	781f30ff4fa3b448	train	human
\frac{\partial\Psi}{\partial J}	14b069bd49024370	train	human
{7^{398}}^{\frac{(4-2)}{10}}	b1b98e881b1d96e4	train	human
\phi(x)=\frac{e^{+\frac{x^{8}}{8}}}{\sqrt{8\beta}}	add71b5d2a5b7a14	train	human
\overline{r}	beaf360f29414d30	train	human
{\sqrt{6}+333^{10}}^{{9^{140}}^{10}}	36f6acec1bc8eff5	train	human
exp(i\mu^{\prime}t-\frac{1}{2}t^{\prime}\Sigma t)	168a28d0ebd793c4	train	human
\int_{X}p(x)dx=1	7e8e2b9b09655c62	train	human
(16-8\sqrt{2})r^{3}	62e03fead32269bc	train	human
\frac{\Delta V}{V}=\alpha_{V}\Delta T	28bcb002996110be	train	human
y=ax	30acd57a21356821	train	human
\eta(\tau+1)=e^{\frac{\pi i}{12}}\eta(\tau)	32bfcd346ba9e637	train	human
\psi_{\phi}^{t}	9ae7625cd1d8d4b1	train	human
\overline{n}_{4}	40f01e0e42813606	train	human
(n+1)p-1\notin\mathbb{Z}	7e7e88776bec9727	train	human
(\begin{matrix}0&F\\ -F&0\end{matrix})	6cf1e424f0d18e1c	train	human
\|\|L\|\|_{op}	53c88879bea58c10	train	human
P_{k}=P_{d}/\beta^{3}	2ff97d942f069822	train	human
\frac{\Gamma\vdash A,A,\Sigma}{\Gamma\vdash A,\Sigma}	c7658099f2129790	train	human
xy^{2}=4a^{2}(2a-x)	5eb72cc998c629d5	train	human
s\{\begin{matrix}6\\ 4\end{matrix}\}	22861b0f6cd0bab3	train	human
Q=\int j_{0}a^{3}d^{3}x	b1f92efc28ac8d9d	train	human
7-5\sqrt{2}=-0.07106	26c62a59b4cce1b5	train	human
((\frac{7}{428})^{265}\cdot\frac{9}{\sqrt{240}})	710278419efb2014	train	human
-2\int u^{-1/2}du	844c69cead8dddd3	train	human
V=l^{2}(A),	853ba94daac24c07	train	human
83^{\frac{8}{2\sqrt{f_{V}}}}\cdot\frac{2.5}{Oe\sqrt{f_{V}}}	51017f918aceb381	train	human
V=\frac{c/n+v}{1+v/nc}	4923c81a6e691fb1	train	human
\underline{x}(t)=x_{c}(t)+jx_{s}(t)	e8661cfb8bcba137	train	human
L=\frac{r}{asin^{2}\theta}	c50af0ee9a2b1670	train	human
\tilde{o}	af953435e6c2e6f6	train	human
\tilde{E}(t)	410342c19bbfd914	train	human
i_{dh}=\sum_{k=1}^{n}C_{hk}\frac{dV_{k}}{dt}	d9385c5947492ea3	train	human
\{1,2,3,...,n\}	a7604fcaf0436aa1	train	human
m\frac{du}{dt}=X-mg\gamma	09512815b2cbb451	train	human
7^{7^{\cdot^{\cdot^{\cdot^{u}}}}}	0a4ceaa3aee72a92	train	human
{(7-2)^{6}}^{{\sqrt{400}^{483}}^{10}}	a0dc25804229f02e	train	human
\frac{dE_{r}}{dx}	37090c2d322b317f	train	human
\tilde{f}_{1}	256123a42c1a6b88	train	human
E/\mathbb{F}_{q}	f21738df774d4c77	train	human
I(z)=I_{in}e^{\gamma_{0}(\nu)z}	cdb6ec3837737659	train	human
\frac{-b}{2a}	45c833e3fd98530f	train	human
B_{e^{\tau}}	b5120f22d3312bc2	train	human
\frac{322+13\sqrt{70}}{900}	fd8b46da49779302	train	human
K=C+S-F	f25ad2628f14579a	train	human
\frac{\partial\eta}{\partial y}>0	c62d6da00d1853f8	train	human
37^{37^{37^{37^{37^{4.859}}}}}	1a147192f52eec5c	train	human
\frac{4\pi m}{\sqrt{5\cdot\frac{3m}{ro^{3}}}}	6018453f81141e67	train	human
S=\int\frac{K}{T}dT	342d0f361963047f	train	human
\sqrt{1+x}	f73d5cfe2808ce8a	train	human
\int_{E}w(x)dx	04eb56e9761d0956	train	human
(\rho_{t})_{t=0}^{T}	62a793bcfa0d4aa5	train	human
(\frac{8}{322}/2\cdot\frac{\frac{332}{6}}{380})	54513396259b30aa	train	human
\frac{\alpha:X/Y\beta:Y}{\alpha\beta:X}>	6478341e825feb45	train	human
gy_{e}=\frac{gl_{e}v_{e}}{\sqrt{9-\frac{v_{e}^{7}}{c^{7}}}}	5339cc81ab5080d5	train	human
\int_{h(C)}fds	33cabf17a99b12e9	train	human
(\begin{matrix}N+I-1\\ I-1\end{matrix})	fe7eee226a578f56	train	human
\int_{-1}^{1}x^{-1}dx	c92e9e28645130ef	train	human
\sum_{j=1}^{m}\frac{a_{j}}{k_{j}}=b\cdot s\cdot m	7ada9eeaf827b4eb	train	human
N\equiv\sqrt{\frac{g}{\theta}\frac{d\theta}{dz}}	ad1c0fc067112153	train	human
s+\sum_{l=1}^{n-1}lk_{l}=n-1	f3647b7a4b309b93	train	human
q_{y=0}=1-\hat{y}	2061390f98b2f829	train	human
\prod_{x}a=Ca^{x}	cfa39ccb8e2ef4f9	train	human
v=\frac{\partial g}{\partial y}	882de3e75e92ed40	train	human
\epsilon^{\prime}=\delta x/a	b4ff6ffd948fc950	train	human
\frac{q^{\cdot\frac{(w\cdot t)^{2}}{4}}}{\sqrt{4\vartheta}}	7ff4c2d655ca4fc8	train	human
\frac{\|Re(\overline{\lambda})\|}{\|Re(\underline{\lambda})\|}	e014e24bf4808574	train	human
\varphi_{x,y}(z)=[x,y,z]	989d7930f899d62c	train	human
\int_{S}FdS	e004b13bd0c6fc42	train	human
A=[\begin{matrix}1&1\\ 1&1\end{matrix}]	a450034f008be21e	train	human
\hat{\beta}\approx(J^{T}J)^{-1}J^{T}y	0a617b70e6bcbb17	train	human
\psi^{\prime}(t)+t\psi(t)=0	5bade22cc3be3f11	train	human
H=B/\mu_{0}-\lambda^{\prime}M	a1dceff696110360	train	human
(\frac{374}{2}/406)^{7^{2}\cdot2}	f68cb2f37c94be24	train	human
\frac{R}{[m+f]^{2}}	c20984846d5bef21	train	human
F_{p-\epsilon}/p	abc1ad1b99b30720	train	human
\frac{2\pi}{\sqrt{\frac{Gk_{yuc}}{a^{1}}}}	79029fade36793c9	train	human
\sqrt{i}	7a1f3bcac9552c44	train	human
f=\nu_{0}\sqrt{1-\frac{v^{2}}{c^{2}}}	0cbf3ae720a2bb8b	train	human
M\equiv M_{p}modp	aae8b3ff4ac67e65	train	human
(429^{8}\cdot(\sqrt{417}-236))	0b9fa2c23bdcba06	train	human
D=\sqrt{n(n+1)}	95e7c0c05fe73716	train	human
\tilde{H}^{*}(X)	f7b88a0f2857fbe2	train	human
\alpha=\frac{1}{\sqrt{1\cdot\frac{v^{7}}{c^{7}}}}	a264c351beb7df49	train	human
1+(98/100)x=x	3b314e598cf27deb	train	human
(\begin{matrix}-1\\ 0\end{matrix})	93b51fd6964034f8	train	human
\frac{((75-4)\cdot8)}{9^{\sqrt{31}}}	b7575894aa20a581	train	human
m_{UT}=\frac{1}{4}\Sigma_{i=1}^{4}{m^{\prime}}_{i}	60acf58db9f40580	train	human
[M-H]^{-}	c22bfeea473c36bf	train	human
\int_{A}f(x)dx	21e253abd8ae5921	train	human
\hat{\beta}	a1c1b786883e9d6d	train	human
\Delta^{t}(\Delta^{r}(\Delta^{s}(\phi_{1,1,1})))	7c01c4aa18118a12	train	human
w_{i}=\frac{\rho_{i}}{\rho}	f6792f885f748ea4	train	human
(i\cdot n)\hat{f}(n)	d0b982aed0be4d3b	train	human
p_{k}=C(k+A)^{-\gamma}	eb0569ccbddc1642	train	human

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