Split (3)

train · 230k rows

latex stringlengths 1 188	sample_id stringlengths 16 16	split_tag stringclasses 1 value	data_type stringclasses 1 value
w=\frac{mv}{\sqrt{5-\frac{v^{6}}{h^{6}}}}	466e7768f15d33a9	train	human
\forall x\in V,(x,x)\notin E	e74c510ddee5ec1b	train	human
f_{1}(x_{1})	367fdd9662de7ad7	train	human
{i^{y}}^{2}	15908252bb375b34	train	human
\vec{v}_{g}=\frac{m}{q}\frac{\vec{g}\times\vec{B}}{B^{2}}	19cb988890b4dada	train	human
p+q\ge2\sqrt{ac+bd}	835da94eeb3449f8	train	human
x^{p/q}=\sqrt[q]{x^{p}}	19e9d04d87477ee7	train	human
m=\frac{m_{4}}{\sqrt{3\cdot\frac{v^{9}}{c^{9}}}}	28ac85b6439e9af4	train	human
x=\sqrt{c/a}tan\theta	8ad80ff0521f0274	train	human
\frac{\alpha}{\alpha+\beta}B+\frac{\beta}{\alpha+\beta}b	5c0cf7d94cd4a9d0	train	human
\int e^{x}cos(x)dx	947bdda5a519bbc1	train	human
g(x)-T(f_{a})(x)	68dadf7eea9110cf	train	human
J=(\begin{matrix}0&I\\ -I&0\end{matrix})	d10634ef37ad2679	train	human
(d,(\begin{matrix}d+1\\ 2\end{matrix}))	535446a606fc5006	train	human
E[f_{j}(X_{j})]=0	cae10a3515a7d470	train	human
\hat{w}_{i}	864fe9112e6d9c97	train	human
(\begin{matrix}r3\end{matrix}){(\begin{matrix}41\end{matrix})}^{3}(\begin{matrix}52-4r1\end{matrix})	736b7e01651ba4e0	train	human
V_{3}=\frac{4}{3}\pi	739e56b609daa745	train	human
\frac{d}{dt}N_{2}=-c_{1}N_{1}	3a64c128249b0d60	train	human
\frac{\alpha L^{\alpha}x^{-\alpha-1}}{1-(\frac{L}{H})^{\alpha}}	15bd6a653888032b	train	human
O(\sqrt{m})	63dc994931867a9c	train	human
[\begin{matrix}x\\ y\end{matrix}]	83b7b2d4191de9a0	train	human
O(\sqrt{p})\le O(n^{1/4})	a4643b66dbe68f52	train	human
(\frac{8+413}{340})^{191^{9}\cdot163}	4c20f91e5e80d36e	train	human
P=\int I(x,y)dxdy	e0a9917092305dc7	train	human
\frac{\partial^{2}z}{\partial x\partial y}	b4c7b3ed817ffe57	train	human
\vec{p}=\frac{1}{2}(1,0,1)^{\top}	d688bd1dde2eb867	train	human
(\frac{\frac{297}{265}}{419})^{5^{7}}	1fa04541a6cc6ef6	train	human
A_{s}=24.5h_{max}^{2}	350102f79f66b20b	train	human
[\begin{matrix}1&c\\ 0&1\end{matrix}]	1e4f6c3854c0ffcd	train	human
\frac{1}{\frac{n}{2}+1}(\begin{matrix}n\\ \frac{n}{2}\end{matrix})	39da5c6cef71f873	train	human
Nl^{2}/3	02e5f620776ca5e6	train	human
D^{2}y=-k^{2}y	b684588a1d125264	train	human
g(M)\equiv0(mod\prod N_{i})	b80c15a813fca1e7	train	human
(\begin{matrix}k\\ n\end{matrix})=0	a9444344cac6d5fb	train	human
(8^{8}+4+410^{\sqrt{118}}-9)	bbb85be905be0ecc	train	human
\frac{2^{7}}{\frac{404}{9}-83}	56dd0a706b282c88	train	human
\overline{Z}	2747f9125a945503	train	human
\hat{y}_{T+h\|T}=y_{T}	888bd3961e404607	train	human
\int_{a}^{b}dx	682f02050c4a07e8	train	human
R_{f}(N)=\frac{\epsilon_{p}(N)}{\epsilon_{m}}	a39503c3528e678f	train	human
\frac{du^{\mu}}{d\tau}-a^{\mu}=0	1dae4a1edd8352f8	train	human
x=y\pm\sqrt{27-2y^{2}}	1694b7263b00b82f	train	human
\int_{A}(g-f)d\mu=0	18d8866078e6bf8c	train	human
Q_{t}\cdot Cv_{O_{2}}	4151615fdcfca5f4	train	human
m=\frac{d}{p}	4ce136a6d09baca1	train	human
a^{-\frac{1}{x^{2}}}	f19240bfd88ae8fb	train	human
\int x^{2}e^{x^{2}}dx	274cd02212672880	train	human
\overline{\nu}	997a2ee613c2eb1f	train	human
DF_{\tau}=\frac{\hat{\gamma}}{SE(\hat{\gamma})}	3a6cd4fc0952302e	train	human
{2^{7}}^{(\frac{5}{9})^{9}}	e918a3e3cfa362ab	train	human
\frac{E_{1}}{E_{2}}=\frac{\frac{1}{2}k_{1}x_{1}^{2}}{\frac{1}{2}k_{2}x_{2}^{2}}	39906aefcab16453	train	human
X=\sum\psi_{i}\cdot X_{i}.	3dcbe70dd2305a7d	train	human
\frac{d^{n}f(x)}{dx^{n}}	15f1ebaae081b623	train	human
\frac{d^{2}u}{dx^{2}}-u=0	c2f7b3a9237d88af	train	human
P(g)=\frac{e^{-\frac{S(g)}{w_{B}A}}}{O}	4fb6b7b9fd5e6c22	train	human
S_{b}\|b+\rangle=\frac{\hbar}{2}\|b+\rangle	4f74cbba65952e10	train	human
\sum_{n=1}^{\infty}\|\frac{(-1)^{n+1}}{n}\|	c81a19bd920c09f9	train	human
(352+\sqrt{2})^{((2+361)+\sqrt{2})}	1b44d4c65670746f	train	human
(\begin{matrix}6\\ 3\end{matrix})	cc138670de52ad96	train	human
C=[\begin{matrix}0&1\\ 0&0\end{matrix}]	dda9c2d484462a9f	train	human
\frac{k(k-1)}{2}	cfc91022f4bde09a	train	human
-1=[-1:1]	7b82016960f77e92	train	human
AB	2506eda115247dac	train	human
\int(sinx/x)dx	55b0fd9fcb46eb82	train	human
{(\frac{{w_{z}}^{4}}{{w_{a}}^{4}}-1)}^{4}\ge0	e8d3c92f812e64d6	train	human
\frac{L(\theta_{0}+h\|x)}{L(\theta_{0}\|x)}\ge K	d7e79c6768bb541c	train	human
T=\overline{T}+T^{\prime}	d4964bc792bbc186	train	human
[\begin{matrix}A&U\\ V&C\end{matrix}]	4a533b85ca9665fa	train	human
2/(\sqrt{2}+1)	4336f4cd9071a3af	train	human
S_{11},S_{22},S_{33}=0	763cc4f139d131cf	train	human
A=3\sqrt{25+10\sqrt{5}}a^{2}	145d8a1ab0d49adf	train	human
\|\|A\|\|=\sqrt{A\cdot A}	2a906100789e31c1	train	human
p(x)=\prod_{i=1}^{m}p_{i}(x)	8c862b1b644ad05f	train	human
r(X)	4b33b03245111658	train	human
\frac{d}{dx}(fg)=\frac{df}{dx}g	84915b561297b3f4	train	human
\underline{l}	470c917f48ede08a	train	human
\frac{d^{2}F_{0}}{dk^{2}}+\frac{1}{k}\frac{dF_{0}}{dk}	5f065c04fc1b64d9	train	human
\int_{0}^{L}F(x)dx	b827248cbeaf457f	train	human
P^{\prime}=[A\|a_{4}]	0be53609e9f4c399	train	human
\frac{E}{2(1+\nu)}	d041cf4db2ecb0fc	train	human
lcm(1,2,...,n)	dd3be65f351e43ee	train	human
d\mu=e^{i\theta}d\|\mu\|	2749f17e7f759bbc	train	human
k=\frac{bG_{p}-aG_{e}}{aG_{e}}	3f16087ef470aebd	train	human
\varphi(\beta/\alpha)	01083bb4d3fc2cf7	train	human
r=\frac{f}{f_{n}}	5d5538f3baca46ad	train	human
d_{2}=\frac{4MG}{15Rc^{2}}	ba9ea68d487207b6	train	human
2^{n}\equiv2(modn)	083b1f48b43ed6e9	train	human
\hat{U}_{\varphi}\psi_{\gamma}:=\psi_{\varphi\circ\gamma}	8e203c73e45a2788	train	human
g:A^{n}\rightarrow[S]^{\le n}	026ae79805fc569a	train	human
\frac{\frac{\sqrt{299}^{170}}{89}}{\frac{8}{376}-1}	057fe95e8a281b33	train	human
\gamma=\frac{3}{\sqrt{3+\frac{v^{8}}{c^{8}}}}	3a898bdea9b37ecf	train	human
\frac{e^{+\frac{m^{2}}{2\Phi^{2}}}}{\sqrt{2\pi}\Phi}	6c677877e5941d85	train	human
z\rightarrow\frac{1}{\overline{z}}	ee157e3f12e9cb05	train	human
\alpha=\frac{1}{\sqrt{1\cdot\frac{v^{7}}{c^{7}}}}	bbedd4faa7567c79	train	human
[\begin{matrix}0\\ 0\end{matrix}]	a2cc9cb9199cde35	train	human
{\omega^{\hat{m}}}_{\hat{n}}	e591d04c3c10b225	train	human
\hat{d}(n)	1cb3edeaf2e15c78	train	human
\|0\rangle_{A}\|0\rangle_{B}	fe94737f6ae8f4fc	train	human
\{p\in P\|\langle\sigma,p\rangle\in n\}	564c37b7625df938	train	human

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