Split (3)

train · 230k rows

latex stringlengths 1 188	sample_id stringlengths 16 16	split_tag stringclasses 1 value	data_type stringclasses 1 value
\langle\rho\rangle\frac{\partial\tilde{u}}{\partial t}=-\nabla\tilde{p}	be181baba010f266	train	human
n=513	5c118286f7e908f8	train	human
e^{xlog4}=x\cdot x\cdot x\cdot x	cee4b544b76b13f2	train	human
Z_{(a_{\delta})}	259e41ff804e9256	train	human
\int_{a}^{b}f(x)dv(x)	0ba8fe1e97486b62	train	human
\frac{\Delta Q}{\Delta t}=-kA\frac{\Delta T}{\Delta x}	dd97a4cf426764e9	train	human
y(x)=(\begin{matrix}y_{1}(x)\\ y_{2}(x)\end{matrix})	cacb666b79b957e6	train	human
\frac{\partial}{\partial g_{i}}(g_{j})=\delta_{ij}	67970a4f1559bb82	train	human
\tilde{O}(log^{3}n))	d25e44fa4f57f119	train	human
\frac{d\psi}{dt}	3782010d106c4c3e	train	human
(\begin{matrix}0&-1\\ 1&0\end{matrix})	9db60ccdb3074d8b	train	human
d\vec{B}=\frac{\mu_{0}}{4\pi}\frac{Id\vec{l}\times\vec{r}}{r^{2}}	48e3602cb3ff2a06	train	human
O(\frac{1}{\sqrt{N}})	8e64903b8c6bbe14	train	human
STUVWXYZ	ad4e2a43436c3a85	train	human
D\overline{D}	00a0fbd63ee9d87a	train	human
\frac{(\frac{7}{362}+8)}{\sqrt{3}^{3}}	95de408af24d9244	train	human
PQ	b8b3d437a5167c16	train	human
q=\sqrt{y_{c}^{3}g}	9f3cd34de66193bd	train	human
\underline{x}\in\mathbb{R}^{n}	7ddb5cd77c204d2b	train	human
\frac{\partial J}{\partial x}=\frac{\partial R}{\partial x}\psi	c1c5ee1004817ac0	train	human
\nabla_{X}g=0	7c81c668960134be	train	human
x=50\frac{1}{2}-49\frac{1}{2}=1	9be1bcf92f6b2c99	train	human
\mu=arcsin(\frac{1}{M})	61a8e5494eb0abee	train	human
\frac{1}{\|a\|}\cdot tri(\frac{\nu}{2\pi a})	685308837be1e1b7	train	human
a\notin A	833d19cb6c12361f	train	human
/R	7709bad0ae560243	train	human
Y=\frac{X}{1-e^{X}}	a742c10f388a8028	train	human
v\notin C	6582b0d654148bb9	train	human
(\begin{matrix}n\\ t\end{matrix})	f643b1e0b270565f	train	human
\partial_{y}=\frac{\partial}{\partial y}	e1ccf5a96e9e40df	train	human
\int_{0}^{1}2x^{3}+3dx	e880e8b446f6d724	train	human
[G]_{o}>>>[H]_{o}	cef183286d7a26ef	train	human
\frac{k(k+1)}{2}+(k+1)	bbe863ee93feee12	train	human
\int xsinx^{2}dx	07e03ef698cb02c5	train	human
\hat{A}_{2}=\frac{1}{N}\sum_{n=0}^{N-1}x[n]	99698ba982c3c41c	train	human
y=\sqrt{b^{2}-\frac{b^{2}x^{2}}{a^{2}}}	c9ce312e6f646838	train	human
\sum_{n=1}^{\infty}(\zeta(2n)-1)=\frac{3}{4}	83d26f8a2eecbe79	train	human
\frac{1}{2}\mu v_{(}rel)^{2}=\Delta	663fc762e35f0a62	train	human
\frac{n_{1}}{n_{2}}sin(\theta_{I})	c46cb1c1ef552c99	train	human
S_{11}=S_{22}=1	24786af5b356c2b2	train	human
[\begin{matrix}4\\ 1\\ 8\end{matrix}]	299fe110a393e760	train	human
f:R^{k}\rightarrow R	88a94bb6f5d1cd48	train	human
A_{i,j,k}	af8407942f841046	train	human
\frac{2^{b-a}}{10^{b}p^{k}q^{l}\cdot\cdot\cdot}	f18f8d376a711a19	train	human
x_{0}=1	4683388cc36a8e23	train	human
\frac{(380^{9}+\sqrt{10})}{\frac{9}{7}}	302a8e15c1b61004	train	human
4^{4^{+^{+^{+^{n}}}}}	9a24bc710585a371	train	human
\frac{{409^{7}}^{142}}{{7^{276}}^{62}}	a74681dcdc259bea	train	human
cf(\prod A/D)<\lambda	279c2a727647e931	train	human
\epsilon:=\frac{1}{n}tr	8a9bc184f244b600	train	human
\frac{\sqrt{x+2}}{x^{2}-3}	9ca71d93a87a2c90	train	human
\overline{hu^{2}}+\frac{1}{2}k_{ap}g_{z}h^{2}	140882c74928a6aa	train	human
cos\theta=\frac{d_{2}\cdot q}{\|d_{2}\|\|q\|}	66accc6dbeb15f69	train	human
(\frac{7}{2}+201)^{4-9}	e53455f220d3fbda	train	human
xsin(\frac{1}{x})	6b9c8359f0074a93	train	human
V(\tilde{\beta})	bcab004893afd737	train	human
M=[\begin{matrix}0&1\\ -1&0\end{matrix}]	41f3fa4878b63e03	train	human
4.\overline{2}	02b4ff904a174d59	train	human
t_{c}=\sqrt{\frac{m}{k}}	e53e20aead2577ed	train	human
ab\le\frac{a^{p}}{p}+\frac{b^{q}}{q}	fed2a68e2680ab05	train	human
\nu_{f}^{\sigma_{j}}	595598255131d91d	train	human
\int_{0}^{1}n(x)dx	d2c352bd95d5151b	train	human
\sum_{j,k=1}^{3}\epsilon_{jkl}=0	5ef2fb1fb1f17fa8	train	human
\rho\in H_{A}\otimes H_{B}	b4460988485edd78	train	human
1/\sqrt{2}	fd014e5396056d0f	train	human
Z_{0}=\sqrt{L/C}	97d89c443eb59225	train	human
liminf\frac{\varphi(n)}{n}=0	2ab3b4c68303d3f1	train	human
\tilde{B}_{3}	50f37f7f2fde6849	train	human
q=\frac{\partial\psi}{\partial n}	4dff17e4fb65591d	train	human
\frac{r^{\prime}}{\sqrt{5-\frac{r^{8}}{6}}}\ge5	c973571452547e2e	train	human
\|\alpha-\frac{p}{q}\|>\frac{C(\alpha,\epsilon)}{q^{2+\epsilon}}	bc053d40872a56de	train	human
\frac{2}{a+b}	24f4b0c907a59f5e	train	human
c^{\prime}=\sqrt{c}	e323fb5c84f1b751	train	human
440Hz\cdot(\sqrt[12]{2})^{-10}\approx	09f19bbddb927882	train	human
x_{ij}=\frac{S_{i}-S_{j}}{\sigma}	4369648574b3a3d6	train	human
n_{pas}	af828f2e009de940	train	human
\|\|e_{i}\|\|=\|\|e_{i}^{*}\|\|=1	83166716037c475d	train	human
P_{2}=(0,\sqrt{3})	48f5e56b995c3b2c	train	human
\overline{w_{i}}	cf6b21c59d3b6f10	train	human
\int_{x}^{x}f(t)dt=0	287a60731c83fb61	train	human
(-b-\sqrt{b^{2}-4c})/2	fea96365ba29a8c3	train	human
\frac{\delta(k_{1}+k_{2})}{k_{1}^{2}}	6fd720b920ab9e92	train	human
\frac{\partial x}{\partial r}=cos\phi	302f4f1aa2b97ec3	train	human
M^{\beta}=(X^{T}WX)^{-1}	a34db0384f077d91	train	human
X=t^{t^{t^{...^{t^{i}}}}}	38960ace079eaac1	train	human
[\frac{\pi}{\theta}]=-[\frac{\theta}{\pi}]	222551f5e888bccb	train	human
\frac{dt}{ds}=1	a93fac978ea7b2d5	train	human
(y,g(y)+K)	5cc45d6747d26470	train	human
\frac{\frac{4-5}{341}}{\frac{\frac{62}{5}}{4}}	cc726f24c2a16659	train	human
\sqrt{S}	a8ea97d224c709be	train	human
T_{\alpha\beta}	b30d34b781bc0d76	train	human
\frac{1}{\sqrt{(1-\beta^{2})}}	0b9aa673a612716b	train	human
B_{1}=\{\|a_{i}\rangle_{i=1}^{d}\}	cbe50a27303719e5	train	human
V=\frac{EGU}{O*R}	0020f62a652b7ade	train	human
V_{h^{\beta}}	dd5e4ae68082ce04	train	human
A_{i}A_{j}\subseteq A_{i\cdot j}	a296cf49570c9ceb	train	human
\frac{(50\cdot48)}{370^{311}}	3dd58d4d833479bd	train	human
\Delta f=\frac{f_{0}}{kA^{2}}\langle F_{ts}q^{\prime}\rangle	798d806de87c62f7	train	human
\sum_{i=1}^{m}w(P_{i})\ge w(C)	d1a848eb4d21d722	train	human
U=\sum_{i=1}^{n}\frac{C_{i}}{T_{i}}\le1	463d396a0688f2cc	train	human

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