image imagewidth (px) 4 512 | 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}(f*g)=\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 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.