Split (3)

train · 230k rows

latex stringlengths 1 188	sample_id stringlengths 16 16	split_tag stringclasses 1 value	data_type stringclasses 1 value
\frac{18-\sqrt{30}}{36}	66143424f796b1f9	train	human
{143^{358}}^{\frac{334-127}{209}}	a09594c265a0c3ab	train	human
\frac{a_{n}\alpha^{n}}{2^{n-1}}	70671f267ab824ce	train	human
\forall P\forall x(x\in P\vee x\notin P)	f0e00682cb14baec	train	human
\frac{dy}{dx}=1/4	0513aa740986747c	train	human
\langle\hat{T}\rangle	b7c923acdbbe017a	train	human
A=l^{2}+l\sqrt{l^{2}+(2h)^{2}}	c6ed66c14fd73bce	train	human
\frac{aX+b}{cX+d}	1563fcd03aaf146a	train	human
\Rightarrow\frac{Adh}{a\sqrt{2gh}}=dt	c5a98fc0db8c3538	train	human
21x=\frac{1}{x^{3}}	57f1e7cd8d2a5f1c	train	human
v\propto\sqrt{E/\rho}	0697b26f1f0d66fb	train	human
\hat{y}	afbdd78c1c0e51e3	train	human
R=\frac{1}{\sqrt{-K}}	14fa1ebc1337d8e1	train	human
(\begin{matrix}S-1\\ D-1\end{matrix})	6bdfb2c7f759fb4c	train	human
\frac{(4+285-95)}{\frac{\frac{360}{500}}{41}}	20756c969a178be4	train	human
[\begin{matrix}d+1\\ k\end{matrix}]	2388f91c3e3ed912	train	human
\hat{f}	21ce6b24f9f73989	train	human
\tilde{D}_{5}	9e674e1c7054614a	train	human
\tilde{r}_{E}	3ee3552e918c8ce2	train	human
\int vdu	51050136045ee19f	train	human
\|\pm\rangle=\frac{1}{\sqrt{2}}(\|0\rangle\pm\|1\rangle)	4b3c77b4267c1084	train	human
f(\tau,z)=0forz>l	44f8604bc990f53f	train	human
m\frac{d^{2}x}{dt^{2}}=-mg	25aeb2f64b957eb0	train	human
\alpha=\frac{\sqrt{2m(V_{o}-E)}}{\hbar}	390bf1d907830326	train	human
\frac{a}{b}=\frac{1+\sqrt{5}}{2}	689c0a01903c2c1e	train	human
A=\bigcup_{i=1}^{n}A_{i}	d617b1e8bfd8249d	train	human
P_{r}=S\frac{\lambda^{2}}{4\pi}	344e94bdcf59761f	train	human
\int_{\gamma}f(z)dz	5204d540595772df	train	human
(\frac{96}{387})^{\frac{10}{2}}	950b33b075fc991c	train	human
H_{k}(X;A)=A^{r_{k}}	c420aaf1a2066ed1	train	human
\bigcap\{\overline{B}_{0}:B_{0}\in B\}	de9086037cfd4279	train	human
\hat{i}	a563bec659664e36	train	human
A=\frac{\sqrt{3}}{4}a^{2}	ac6d6cec977d7de3	train	human
\sigma_{1}-\sigma_{2}	8435b1aa833d7c82	train	human
\int e^{x}cos(x)dx	36e55b180c88dd41	train	human
M-\overline{V}	d91e20c19ae20fd7	train	human
U=\frac{2}{3}X	0304d21982882219	train	human
-\frac{1}{2}+\frac{1}{2}i\sqrt{3}	47a1dc7b4c4b6eaa	train	human
(\begin{matrix}2\\ 4\end{matrix})	8a180cfa26bffd2f	train	human
e^{38^{38^{38^{322}}}}	6e590a90c4baba70	train	human
\frac{469\cdot5}{\frac{6}{4}}	d10dc8449ba9394e	train	human
p_{3}=x^{5}-x	dffa02fc375b46dd	train	human
\{\zeta\in\mathbb{C}:Im\zeta>0\}	0cad6c44acb3c8ed	train	human
a(x-h)^{2}+k	0953e714a6ebac05	train	human
GM=\frac{3\pi V}{P^{2}}	7b048b423e2c5afb	train	human
\underline{P}X\ne\emptyset	da2a99a92dac206d	train	human
(\begin{matrix}p+q+3\\ 2\end{matrix})	e8e22d01b26b91db	train	human
(cont_{F})_{*}O_{X}=O_{Z}	4636aead3349ae90	train	human
\hat{r}	32f9880f07c76747	train	human
V(x)=\frac{r}{\|x\|}	956a29f07efb900c	train	human
e=\frac{e^{\prime}\cdot vt^{\prime}}{\sqrt[]{7-\frac{v^{4}}{c^{4}}}}	4347fb0f28c185b7	train	human
\int_{-3}^{0}(3)dx	7bfda0bc79c260d8	train	human
(6\cdot361)^{8^{474}}	b9c375009ed73a2f	train	human
N_{e}=I(t)/2\beta	b870c2b1feab4494	train	human
E=-\frac{1}{c}\partial A/\partial t	87d00102463e6c07	train	human
\frac{(V_{2}^{2}-V_{3}^{2})-2gh_{d}}{V_{2}^{2}}	ca4e319005dc2820	train	human
5^{\sqrt{429}}\cdot7\cdot\sqrt{111}\cdot397	8d06028ba287b7c3	train	human
\int G[f(x)]Df(x)	9064cd5be5bad137	train	human
\theta=\frac{1}{n}-\frac{1}{N}	e8fdcd8a3e29861e	train	human
rF=\underline{0}	506f18d9ee243c1b	train	human
F=\frac{1}{2}\frac{dC}{dz}V^{2}	8eb540ed7230efbf	train	human
\frac{367}{362}+324^{7}	82cbb581216301d1	train	human
B=\mu_{0}\mu_{r}\frac{NI}{l}	c078962e70512e6d	train	human
\tilde{C}_{2}	879b9dc41b83fff7	train	human
p(x\|\theta)=f(x-\theta)	bb1178b18c4ab09f	train	human
\alpha=\frac{1}{\sqrt{1\cdot\frac{v^{7}}{c^{7}}}}	5a04063248d27313	train	human
\frac{1}{2}(x^{\prime})^{2}=\frac{-z}{2x}	fdf8ef47fafac63d	train	human
\varphi_{s}^{y}	dbf6ea4a9da1e99a	train	human
(\begin{matrix}L\\ d\end{matrix})	e7c2495517244294	train	human
(\frac{6}{10})^{(\frac{58}{399}\cdot395)}	9a17c5ba2465fcc8	train	human
(\begin{matrix}a&b\\ c&-a\end{matrix})	6316d7923e2dcc03	train	human
\int n_{e}(s)ds	75a85c7d9c75584d	train	human
\tilde{C}_{4}	56910d4378ac6cde	train	human
\tilde{H}	9208f704f981067a	train	human
A=[\begin{matrix}a&c\\ c&b\end{matrix}]	20b71678a300e7c8	train	human
\|A\|=n	d73ab9b0c562a3a1	train	human
\overline{W}	766db0fc1731b0e8	train	human
\nu=\frac{\partial V}{\partial\sigma}	148dcb55f9e02858	train	human
\int_{a}^{x}f(t)dt=0	0ecc70c932fcc4f8	train	human
-2\int u^{-1/2}du	89f47a3057393847	train	human
k(t)=k(0)-\frac{eE}{\hbar}t	085252673a88dc7d	train	human
B_{x}=A_{x}\frac{B_{z}}{A_{z}}	9a203894b415827d	train	human
\alpha=\frac{ln(1+a)}{\Delta}	ee3b895ad57caae8	train	human
\frac{\Gamma^{2}(\frac{1}{4})}{4\sqrt{\pi}}	5a3027145196dac8	train	human
\hat{L}_{z}	50adb3e0cb2cb09f	train	human
\frac{(394+1)}{\frac{\frac{3}{184}}{102}}	9e675514956b558c	train	human
s\notin\alpha,t\notin\gamma	bdf2c6222e2deab3	train	human
\frac{\Gamma\vdash A[y/x],\Delta}{\Gamma\vdash\forall xA,\Delta}(\forall R)	695b02a5f0f460df	train	human
\frac{\sqrt{5}-3-6}{\frac{210\cdot489}{112}}	2a1cb79a1dde1d96	train	human
(6-228\cdot{232^{193}}^{10})	4dcf138494eebda8	train	human
\int x^{2}d(cosx)	31db9c41636121ab	train	human
2^{\aleph_{0}}=c	55694babd05ab2e8	train	human
E=-\frac{\partial A}{\partial t}	338e57e145db02bd	train	human
\frac{\partial Q}{\partial t}	0e25969dbd86fc6c	train	human
D_{i}(g_{t})=\frac{d}{dt}g_{t}	d1a7200d9450db90	train	human
S	46e27eb84ae2d243	train	human
OB	524dd6918708c58c	train	human
\int\frac{px+q}{rx^{2}+2sx+t}dx	e1781d7344e986a4	train	human
R=\prod_{i=1}^{n}R_{i}	c11fd7c1e926ff4c	train	human
-\frac{\xi}{2}(1+2\eta n_{\eta}(\xi))	2051be2a0a7cfed2	train	human

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