image imagewidth (px) 4 512 | latex stringlengths 1 188 | sample_id stringlengths 16 16 | split_tag stringclasses 1
value | data_type stringclasses 1
value |
|---|---|---|---|---|
A=\int2\pi R(s)ds | 99e367621a0c4f42 | train | human | |
\overline{O_{L}P} | 00219f9279a29e24 | train | human | |
0=\frac{\dot{Q}_{L}}{T_{L}}-\frac{\dot{Q}_{L}}{T_{a}}+\dot{S}_{i} | 98d1ac850eb973ae | train | human | |
\int dy=\int f(x)dx | 827c12f0563ae277 | train | human | |
=\frac{e}{\sqrt{\alpha}} | 2d1e76fb407efdce | train | human | |
D_{\mu}=\partial_{\mu}+\Omega_{\mu} | 781f30ff4fa3b448 | train | human | |
\frac{\partial\Psi}{\partial J} | 14b069bd49024370 | train | human | |
{7^{398}}^{\frac{(4-2)}{10}} | b1b98e881b1d96e4 | train | human | |
\phi(x)=\frac{e^{+\frac{x^{8}}{8}}}{\sqrt{8\beta}} | add71b5d2a5b7a14 | train | human | |
\overline{r} | beaf360f29414d30 | train | human | |
{\sqrt{6}+333^{10}}^{{9^{140}}^{10}} | 36f6acec1bc8eff5 | train | human | |
exp(i\mu^{\prime}t-\frac{1}{2}t^{\prime}\Sigma t) | 168a28d0ebd793c4 | train | human | |
\int_{X}p(x)dx=1 | 7e8e2b9b09655c62 | train | human | |
(16-8\sqrt{2})r^{3} | 62e03fead32269bc | train | human | |
\frac{\Delta V}{V}=\alpha_{V}\Delta T | 28bcb002996110be | train | human | |
y=ax | 30acd57a21356821 | train | human | |
\eta(\tau+1)=e^{\frac{\pi i}{12}}\eta(\tau) | 32bfcd346ba9e637 | train | human | |
\psi_{\phi}^{t} | 9ae7625cd1d8d4b1 | train | human | |
\overline{n}_{4} | 40f01e0e42813606 | train | human | |
(n+1)p-1\notin\mathbb{Z} | 7e7e88776bec9727 | train | human | |
(\begin{matrix}0&F\\ -F&0\end{matrix}) | 6cf1e424f0d18e1c | train | human | |
||L||_{op} | 53c88879bea58c10 | train | human | |
P_{k}=P_{d}/\beta^{3} | 2ff97d942f069822 | train | human | |
\frac{\Gamma\vdash A,A,\Sigma}{\Gamma\vdash A,\Sigma} | c7658099f2129790 | train | human | |
xy^{2}=4a^{2}(2a-x) | 5eb72cc998c629d5 | train | human | |
s\{\begin{matrix}6\\ 4\end{matrix}\} | 22861b0f6cd0bab3 | train | human | |
Q=\int j_{0}a^{3}d^{3}x | b1f92efc28ac8d9d | train | human | |
7-5\sqrt{2}=-0.07106 | 26c62a59b4cce1b5 | train | human | |
((\frac{7}{428})^{265}\cdot\frac{9}{\sqrt{240}}) | 710278419efb2014 | train | human | |
-2\int u^{-1/2}du | 844c69cead8dddd3 | train | human | |
V=l^{2}(A), | 853ba94daac24c07 | train | human | |
83^{\frac{8}{2\sqrt{f_{V}}}}\cdot\frac{2.5}{Oe\sqrt{f_{V}}} | 51017f918aceb381 | train | human | |
V=\frac{c/n+v}{1+v/nc} | 4923c81a6e691fb1 | train | human | |
\underline{x}(t)=x_{c}(t)+jx_{s}(t) | e8661cfb8bcba137 | train | human | |
L=\frac{r}{asin^{2}\theta} | c50af0ee9a2b1670 | train | human | |
\tilde{o} | af953435e6c2e6f6 | train | human | |
\tilde{E}(t) | 410342c19bbfd914 | train | human | |
i_{dh}=\sum_{k=1}^{n}C_{hk}\frac{dV_{k}}{dt} | d9385c5947492ea3 | train | human | |
\{1,2,3,...,n\} | a7604fcaf0436aa1 | train | human | |
m\frac{du}{dt}=X-mg\gamma | 09512815b2cbb451 | train | human | |
7^{7^{\cdot^{\cdot^{\cdot^{u}}}}} | 0a4ceaa3aee72a92 | train | human | |
{(7-2)^{6}}^{{\sqrt{400}^{483}}^{10}} | a0dc25804229f02e | train | human | |
\frac{dE_{r}}{dx} | 37090c2d322b317f | train | human | |
\tilde{f}_{1} | 256123a42c1a6b88 | train | human | |
E/\mathbb{F}_{q} | f21738df774d4c77 | train | human | |
I(z)=I_{in}e^{\gamma_{0}(\nu)z} | cdb6ec3837737659 | train | human | |
\frac{-b}{2a} | 45c833e3fd98530f | train | human | |
B_{e^{\tau}} | b5120f22d3312bc2 | train | human | |
\frac{322+13\sqrt{70}}{900} | fd8b46da49779302 | train | human | |
K=C+S-F | f25ad2628f14579a | train | human | |
\frac{\partial\eta}{\partial y}>0 | c62d6da00d1853f8 | train | human | |
37^{37^{37^{37^{37^{4.859}}}}} | 1a147192f52eec5c | train | human | |
\frac{4\pi m}{\sqrt{5\cdot\frac{3m}{ro^{3}}}} | 6018453f81141e67 | train | human | |
S=\int\frac{K}{T}dT | 342d0f361963047f | train | human | |
\sqrt{1+x} | f73d5cfe2808ce8a | train | human | |
\int_{E}w(x)dx | 04eb56e9761d0956 | train | human | |
(\rho_{t})_{t=0}^{T} | 62a793bcfa0d4aa5 | train | human | |
(\frac{8}{322}/2\cdot\frac{\frac{332}{6}}{380}) | 54513396259b30aa | train | human | |
\frac{\alpha:X/Y\beta:Y}{\alpha\beta:X}> | 6478341e825feb45 | train | human | |
gy_{e}=\frac{gl_{e}v_{e}}{\sqrt{9-\frac{v_{e}^{7}}{c^{7}}}} | 5339cc81ab5080d5 | train | human | |
\int_{h(C)}fds | 33cabf17a99b12e9 | train | human | |
(\begin{matrix}N+I-1\\ I-1\end{matrix}) | fe7eee226a578f56 | train | human | |
\int_{-1}^{1}x^{-1}dx | c92e9e28645130ef | train | human | |
\sum_{j=1}^{m}\frac{a_{j}}{k_{j}}=b\cdot s\cdot m | 7ada9eeaf827b4eb | train | human | |
N\equiv\sqrt{\frac{g}{\theta}\frac{d\theta}{dz}} | ad1c0fc067112153 | train | human | |
s+\sum_{l=1}^{n-1}lk_{l}=n-1 | f3647b7a4b309b93 | train | human | |
q_{y=0}=1-\hat{y} | 2061390f98b2f829 | train | human | |
\prod_{x}a=Ca^{x} | cfa39ccb8e2ef4f9 | train | human | |
v=\frac{\partial g}{\partial y} | 882de3e75e92ed40 | train | human | |
\epsilon^{\prime}=\delta x/a | b4ff6ffd948fc950 | train | human | |
\frac{q^{\cdot\frac{(w\cdot t)^{2}}{4}}}{\sqrt{4\vartheta}} | 7ff4c2d655ca4fc8 | train | human | |
\frac{|Re(\overline{\lambda})|}{|Re(\underline{\lambda})|} | e014e24bf4808574 | train | human | |
\varphi_{x,y}(z)=[x,y,z] | 989d7930f899d62c | train | human | |
\int_{S}FdS | e004b13bd0c6fc42 | train | human | |
A=[\begin{matrix}1&1\\ 1&1\end{matrix}] | a450034f008be21e | train | human | |
\hat{\beta}\approx(J^{T}J)^{-1}J^{T}y | 0a617b70e6bcbb17 | train | human | |
\psi^{\prime}(t)+t\psi(t)=0 | 5bade22cc3be3f11 | train | human | |
H=B/\mu_{0}-\lambda^{\prime}M | a1dceff696110360 | train | human | |
(\frac{374}{2}/406)^{7^{2}\cdot2} | f68cb2f37c94be24 | train | human | |
\frac{R}{[m+f]^{2}} | c20984846d5bef21 | train | human | |
F_{p-\epsilon}/p | abc1ad1b99b30720 | train | human | |
\frac{2\pi}{\sqrt{\frac{Gk_{yuc}}{a^{1}}}} | 79029fade36793c9 | train | human | |
\sqrt{i} | 7a1f3bcac9552c44 | train | human | |
f=\nu_{0}\sqrt{1-\frac{v^{2}}{c^{2}}} | 0cbf3ae720a2bb8b | train | human | |
M\equiv M_{p}modp | aae8b3ff4ac67e65 | train | human | |
(429^{8}\cdot(\sqrt{417}-236)) | 0b9fa2c23bdcba06 | train | human | |
D=\sqrt{n(n+1)} | 95e7c0c05fe73716 | train | human | |
\tilde{H}^{*}(X) | f7b88a0f2857fbe2 | train | human | |
\alpha=\frac{1}{\sqrt{1\cdot\frac{v^{7}}{c^{7}}}} | a264c351beb7df49 | train | human | |
1+(98/100)x=x | 3b314e598cf27deb | train | human | |
(\begin{matrix}-1\\ 0\end{matrix}) | 93b51fd6964034f8 | train | human | |
\frac{((75-4)\cdot8)}{9^{\sqrt{31}}} | b7575894aa20a581 | train | human | |
m_{UT}=\frac{1}{4}\Sigma_{i=1}^{4}{m^{\prime}}_{i} | 60acf58db9f40580 | train | human | |
[M-H]^{-} | c22bfeea473c36bf | train | human | |
\int_{A}f(x)dx | 21e253abd8ae5921 | train | human | |
\hat{\beta} | a1c1b786883e9d6d | train | human | |
\Delta^{t}(\Delta^{r}(\Delta^{s}(\phi_{1,1,1}))) | 7c01c4aa18118a12 | train | human | |
w_{i}=\frac{\rho_{i}}{\rho} | f6792f885f748ea4 | train | human | |
(i\cdot n)\hat{f}(n) | d0b982aed0be4d3b | train | human | |
p_{k}=C(k+A)^{-\gamma} | eb0569ccbddc1642 | train | human |
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