image imagewidth (px) 4 512 | latex stringlengths 1 188 | sample_id stringlengths 16 16 | split_tag stringclasses 1 value | data_type stringclasses 1 value |
|---|---|---|---|---|
f^{-1}[\{y\}]\cap S | 06c7d1a3b168099b | train | human | |
\frac{2e^{-\frac{4}{b^{2}}}}{b^{8}} | 11d40e09e13fac91 | train | human | |
s\ge v_{e}=\sqrt{\frac{2GM}{r_{0}}} | 107d80d3625fba2a | train | human | |
f(z)=\sum_{k=0}^{\infty}(\begin{matrix}1/2\\ k\end{matrix})z^{k} | 9b50d9fd02cd134f | train | human | |
c=\frac{m-1}{N-1} | b96778a6925997ff | train | human | |
1/\sqrt{1+\epsilon^{2}} | 93f3a808d91ad532 | train | human | |
\frac{\partial}{\partial x^{i}} | 8590b2064f3930af | train | human | |
i=\frac{i_{A}}{\sqrt{1+\frac{1}{x^{3}}i_{A}^{3}}} | 9fdef098918b3698 | train | human | |
\sum_{p}\frac{1}{p-1} | 7113e235a9f1d4a7 | train | human | |
M(x)=\int V(x)dx | 2f70b8b9ea2ddbb3 | train | human | |
\hat{c}_{V} | 1fe6b1535d3ba92f | train | human | |
\beta_{T}\equiv-\frac{1}{V}(\frac{\partial V}{\partial p})_{T} | 4cf9a69650a0d66f | train | human | |
[\begin{matrix}1&1\\ 0&1\end{matrix}] | 88221203c6ba011c | train | human | |
\underline{k}-\omega | 6368f73e4bc7b273 | train | human | |
\mu_{i}=\frac{B}{\mu_{0}*H} | 3a6635a640f08da3 | train | human | |
\frac{\frac{7}{167}}{(454^{7}+6)} | 58cc82ab56ab0887 | train | human | |
\sqrt{g_{00}}/c | a0b38899b46fe1a9 | train | human | |
h_{J}\leftarrow\hat{h} | 89884dc86fd99196 | train | human | |
\frac{n\sqrt{3}^{2}-mq}{n\sqrt{3}-nq} | c3e38d28cbd9aa43 | train | human | |
\hat{V} | bbcab6a6895c0a55 | train | human | |
\frac{(\frac{7}{51}\cdot3)}{464-480^{\sqrt{86}}} | 84774c10e5b50d2e | train | human | |
(\frac{8+413}{340})^{191^{9}\cdot163} | 577b9d4349cad427 | train | human | |
X(\overline{F}) | 32fd12b1f30e74b8 | train | human | |
x\notin L | 3a40517647653007 | train | human | |
\xi=\frac{\alpha}{\sqrt{2\alpha^{2}+1}} | a2219256a697797d | train | human | |
\tilde{x} | 4c3e1725bf6641f1 | train | human | |
\frac{f_{r}}{f_{y}}=\frac{1}{\sqrt{1-\frac{i^{5}}{a^{5}}}} | b27694afd3dc9694 | train | human | |
\frac{\frac{2}{3}}{\frac{\frac{7}{300}}{1}} | 7e0be1a43c34592e | train | human | |
D\underline{u}x | 1b4d585ed89fe5d7 | train | human | |
k_{4}^{\prime}=\frac{k_{4}-ra_{4}}{\sqrt{1-\frac{r^{4}}{c^{4}}}} | 2db8b7bc5e5b70ff | train | human | |
\frac{\xi a}{c}=\frac{P^{\frac{3a_{e}}{c}}-1}{P^{\frac{3a_{e}}{c}}\cdot1} | 83cc2a43c0ba008b | train | human | |
\hat{C}_{I} | 71deb8201ed87a3e | train | human | |
m=\frac{m_{8}}{({1-\frac{v^{9}}{k^{9}})}^{7/9}} | a1918a57ccf99338 | train | human | |
\frac{dx}{ds}=a | 908c345a406f6a70 | train | human | |
\hat{y}\in\{-1,1\} | fde94e7f1fedec48 | train | human | |
4\times(\begin{matrix}6\\ 2\end{matrix}) | e503a538a6483e9e | train | human | |
F(x+b)=\int f(x+b)dx | c2e95689bc21f73a | train | human | |
\frac{\frac{288}{189}}{(\sqrt{31}-1)\cdot464} | f705ad9288e9b3bc | train | human | |
\frac{2e^{-\frac{4}{b^{2}}}}{b^{8}} | e5e3748ee93d54ed | train | human | |
D_{i,i}^{(\alpha)}=\sum_{j}L_{i,j}^{(\alpha)} | 1a03097238e2d2f0 | train | human | |
31_{8}=25_{10} | afe7a18e3ed1de60 | train | human | |
\tilde{X} | 6e3d9ef447fb5be3 | train | human | |
D^{2}/\partial D^{2} | 789276cc44892890 | train | human | |
|\begin{matrix}1&2\\ 2&9\\ \end{matrix}|=5 | b1d0b55b80ae5435 | train | human | |
V_{t}=tW_{1/t} | afdc3634fa3f1c5c | train | human | |
\frac{\sqrt{2+\sqrt{2}}}{2} | 27b039ec68319969 | train | human | |
N_{a}=\frac{N_{t}}{E} | f44ef8cfc488e982 | train | human | |
COT=\frac{E}{mgd} | 84e04ac5128882cc | train | human | |
log_{2}(2n)=k | a59ef1570b93ca73 | train | human | |
f(a)=\prod q_{i}^{n_{i}} | 0c41e287860ef527 | train | human | |
\sqrt{(}t) | 08ca600cf1c8b86b | train | human | |
\sqrt{S}=\sqrt{a}\times10^{n} | 2295f058915e6d6f | train | human | |
\int_{0}^{1}p(x)dx | d90f16ac83a37c54 | train | human | |
(\begin{matrix}X\\ k\end{matrix}) | 5faf7355f457caf0 | train | human | |
rk(A)=rk(A^{*}A) | 9d077ad41e7f89c6 | train | human | |
R_{W}=\frac{\rho_{E}}{2\cdot\pi\cdot a_{W}} | 68c5c9268a15e9e4 | train | human | |
\frac{\sqrt{239}}{4}\cdot\frac{264^{6}}{\sqrt{302}} | a150d668196364b0 | train | human | |
r\times(n/w) | f020abc213ccd680 | train | human | |
\sqrt{\sigma_{L}^{D}} | ddad5d217f32c6e9 | train | human | |
\frac{dx}{dt}=c | 091678114257d20f | train | human | |
c=(a^{x}+b^{x})^{1/x} | ee7282ccb2f305b2 | train | human | |
L=R\sqrt{-g} | 3898f053e45ddfd5 | train | human | |
(\begin{matrix}n-1\\ n-x\end{matrix}) | 6056ded103d953b9 | train | human | |
exp_{w}^{n}(x)=w^{w^{-^{-^{w^{x}}}}} | f9ed2d0d0c136869 | train | human | |
2^{n}\equiv2(modn) | 766ff9f405e0c032 | train | human | |
\frac{\frac{2}{3}}{\frac{\frac{7}{300}}{1}} | a68686ba14e31f0e | train | human | |
\overline{y}^{\prime i}=A_{j}^{i}(x^{\nu})\overline{y}^{j} | 2e417f65b9bcb03c | train | human | |
\sqrt{\frac{\sum{P_{i}}^{5}}{n}} | 220b5513a53736f3 | train | human | |
1-\frac{1}{\sqrt{2}}\approx29.3\% | 0d61ab892304e4f6 | train | human | |
\frac{N_{G}}{N}\sim N^{-\frac{1}{3}} | 35bcee6848e8e495 | train | human | |
\frac{3}{2}\sqrt{\frac{3}{2}} | dc9b3e50049594e8 | train | human | |
(\begin{matrix}k&\frac{d}{nk}\\ 0&\frac{1}{k}\end{matrix}) | 4806473bd4cb99cb | train | human | |
P=\frac{m_{7}v}{\sqrt{8\cdot\frac{v^{2}}{x^{2}}}} | 391755cb542865bb | train | human | |
c=\frac{\partial C}{\partial m} | e5b197575d365632 | train | human | |
sec\theta=\frac{c}{a} | 98d5c9e444fa191d | train | human | |
\frac{dx}{dt} | 69a6d7e13188ed26 | train | human | |
A\notin D(u,p) | 6b29f8ab4676ee95 | train | human | |
z=\frac{\lambda_{o}-\lambda_{e}}{\lambda_{e}} | d6d8bccb4c6132a8 | train | human | |
P_{e}=\sum_{c}\frac{n_{c}^{2}}{n^{2}} | 5edcad3a6697fc4b | train | human | |
L=\frac{d^{2}}{dx^{2}}+u | eccd1b8a0d1e00ce | train | human | |
u(c)=\frac{c^{1-\rho}-1}{1-\rho} | 0b47110e7770d480 | train | human | |
\sqrt{x} | 6e0e2cc6b9559053 | train | human | |
(X_{1}+\cdot\cdot\cdot+X_{n})/\sqrt{n} | c4bfe183d52732f4 | train | human | |
-\frac{\hbar^{2}}{2M}\nabla_{i}\cdot\nabla_{j} | e75e1743cca0329a | train | human | |
\frac{\partial}{\partial\rho} | 75de2293005ab621 | train | human | |
A^{\prime}A^{\prime\prime} | 0f8a2ce90b0e0e2c | train | human | |
e=\{e_{k}\} | 3e1f0c85b1cdd139 | train | human | |
r=\sqrt[3]{2} | 50972e9d7f173e1a | train | human | |
\frac{\frac{406}{277}}{9^{164}-2} | ca24733e0f050ae5 | train | human | |
RTI_{20}=\frac{h}{b}\times2924 | 2d09d5ec3170617c | train | human | |
\overline{H} | 65344a55b7db3cb5 | train | human | |
c(f(\rho)+1)>0 | ffd2df32f956773f | train | human | |
(\frac{5}{\sqrt{7}})^{4}\cdot\frac{3}{56} | 4bb40bee1a88f9a5 | train | human | |
\frac{(8+\sqrt{326})}{(470^{5}-\sqrt{5})} | 0656911374eff1bd | train | human | |
\underline{p} | 35e994fd68a36d32 | train | human | |
R | 7e83925e41d6eefa | train | human | |
p(x)=\tilde{y} | cd615ef85db8565e | train | human | |
S_{l}(u)\sim e^{-\frac{\sqrt{k}}{4}u^{2}} | fc1784091de2c7fe | train | human | |
[T_{A}^{1}]|[T_{A}^{2}] | 28da8d60fe8f5817 | train | human | |
B_{n+1}=\sum_{k=0}^{n}(\begin{matrix}n\\ k\end{matrix})B_{k} | 3a3795ee789731c4 | train | human |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.