image imagewidth (px) 4 512 | latex stringlengths 1 188 | sample_id stringlengths 16 16 | split_tag stringclasses 1 value | data_type stringclasses 1 value |
|---|---|---|---|---|
x=[\begin{matrix}7.111\\ -3.222\end{matrix}] | 8f7304a2f99958b6 | train | human | |
\int_{0}^{360} | 394b15ea16f534cb | train | human | |
(\begin{matrix}0\\ 1\end{matrix}) | 52ca6b9b5d640214 | train | human | |
\frac{\sqrt{5}-3-6}{\frac{210\cdot489}{112}} | 2953cc9181ad44bd | train | human | |
(\begin{matrix}1\\ 0\end{matrix}) | cf1fce918dfef77b | train | human | |
f(n,m,M) | b758704e71ff51a8 | train | human | |
\frac{\partial\psi}{\partial t}=P\psi | 8604e4469237f38d | train | human | |
P=200000 | 1d69b86aa0486dda | train | human | |
\tilde{\nu}=\tilde{\nu}_{vib}\pm BJ(J+1) | e66e27f1077199dd | train | human | |
R^{\prime}=\frac{dR}{dQ} | 8e6527227aca817c | train | human | |
\frac{\partial Y}{\partial L} | 9ca83140c0c70624 | train | human | |
\overline{2}+\overline{3}=\overline{1} | f8cde31925b839e0 | train | human | |
v=\sqrt[2]{\frac{2Pt}{m}} | 04629c4c5b286ac5 | train | human | |
q_{e}=\frac{q_{b}}{\sqrt{\frac{q_{b}}{q_{m}}}} | 33b35b7243d6015d | train | human | |
\frac{(167+446)}{(\frac{\sqrt{2}}{276})^{443}} | 3fe7cc6026109a38 | train | human | |
(\frac{n}{p})=1 | fdd1416f27ef154e | train | human | |
\sqrt{\epsilon} | 232cbb7b2abb1556 | train | human | |
\frac{4}{\sqrt{4-\frac{v^{9}}{x^{9}}}} | f1db1f7240db3551 | train | human | |
n^{n^{n^{\cdot^{\cdot^{\cdot}}}}} | 5f9b301783f3b691 | train | human | |
\omega=\frac{e\times\dot{e}}{|e|^{2}} | 7b2eb47dbc31b373 | train | human | |
x\notin P | a1630d64c22230bb | train | human | |
\partial/\partial r=-\partial/\partial n | b28f6dc7c14b2152 | train | human | |
\frac{\partial}{\partial z}=0 | ec2f5bb22927a07d | train | human | |
|\hat{\alpha}| | 4b529ea236d12bba | train | human | |
\hat{g}=\Omega^{2}g | 72234554f637a1f8 | train | human | |
=C(m_{l}\cup n_{l}) | fdb6de2de28c2c32 | train | human | |
\frac{dy}{dx}=xy | 93837e9595080f2d | train | human | |
p=\frac{hv}{\sqrt{1\cdot\frac{v^{4}}{y^{4}}}} | 48521709bc946f44 | train | human | |
(\begin{matrix}8\\ 4\end{matrix}) | 16266d7ded4c5cef | train | human | |
(\begin{matrix}n-1\\ n-x\end{matrix}) | 5449f515a5ca5843 | train | human | |
\int_{P_{0}}^{P}\omega | c7644e5906b34160 | train | human | |
(\begin{matrix}2&-2\\ -2&2\end{matrix}) | e0c2483ac5fa5ba5 | train | human | |
\frac{n+\sqrt{n^{2}+4}}{2} | 19808a399b79b2e4 | train | human | |
\sqrt{\frac{4}{105}} | ebe740c6563be76c | train | human | |
k_{E}=-\frac{1}{RR^{\prime}} | 296f23d7a805e83e | train | human | |
x=\sum_{k=1}^{3}\sqrt{k} | f3bc1c5eeb580269 | train | human | |
(\begin{matrix}k\\ 2\end{matrix})=\frac{k(k-1)}{2} | 4f10c5312f45c406 | train | human | |
A=\frac{B^{2}}{4}sin^{2}(t) | eb01387837ae908a | train | human | |
\varphi\wedge\psi | 955859cf0891a017 | train | human | |
k | a015f8ebaf9512e8 | train | human | |
X,Y\in g | a1d48cc295fab4b6 | train | human | |
\phi(p)=\frac{e^{-\frac{p^{5}}{5}}}{\sqrt{5\epsilon}} | 0e8a95248642d0a6 | train | human | |
t_{2}^{\prime}=\frac{t_{2}-\frac{v}{c^{2}}x_{2}}{\sqrt{1-\frac{v^{2}}{c^{2}}}} | a3c67a0e760b14e6 | train | human | |
\underline{x}(t)=x_{c}(t)+jx_{s}(t) | 90dc33b42bb79802 | train | human | |
B=\int_{0}^{1}L(X)dX | 1e4553ef041bfa0c | train | human | |
0=MU_{x}+MU_{y}\frac{dy}{dx} | 0b25f145afad7f2b | train | human | |
\int_{0}^{T}wx(t)dt | 5fbd7917dd36ffbb | train | human | |
SN=\frac{7}{3}A+1 | 35e28d0eef755521 | train | human | |
(\begin{matrix}n\\ 5\end{matrix}) | 94246279d0ef1fb9 | train | human | |
Vd=\frac{Ab}{Cp} | 96fe39a6569e418e | train | human | |
\frac{dr}{dt_{r}} | ae105f12eeaaf3b1 | train | human | |
q=-exp(-\pi\sqrt{163}) | f45116eaa8017eef | train | human | |
h=\frac{(v-3)(v-4)}{12} | 4af0e08001181837 | train | human | |
\frac{27-74}{4}\cdot\frac{8}{298} | e6a1fe7c953800c4 | train | human | |
[\begin{matrix}2&2&4\\ 3&5\\ 6\end{matrix}] | 967ddfb578e3dfee | train | human | |
\{\begin{matrix}3\\ 7\end{matrix}\} | e94f77608aeff3e4 | train | human | |
t_{4}^{\prime}=\frac{t_{4}\cdot\frac{v}{h^{4}}r_{4}}{\sqrt{1\cdot\frac{v^{4}}{h^{4}}}} | f2265eac802b752d | train | human | |
\frac{j}{i+j}>\rho | d08dbc9bf9488b62 | train | human | |
\prod_{n=1}^{\infty}(1+p_{n}) | dbad879085411f8d | train | human | |
\sqrt{T}=\frac{2\sqrt{k_{1}k_{2}}}{k_{1}+k_{2}} | d5bd01aa71ddd433 | train | human | |
\frac{\frac{10}{7}}{\frac{\sqrt{450}}{2}} | 9d17c182f3180377 | train | human | |
\sqrt{\frac{\alpha\lambda}{\beta}}(x-\mu) | 4748ad3139747c98 | train | human | |
p_{i}=\frac{\partial S}{\partial q_{i}} | 6ec6ece5da3a2566 | train | human | |
\frac{\frac{8}{4}}{101-3} | 7bab658a522bfcde | train | human | |
dw_{j}=\frac{dx_{j}v_{j}}{\sqrt{1-\frac{v_{j}^{6}}{z^{6}}}} | 7cba9a4ca3a44ddd | train | human | |
(\nabla\times f)_{i}=\epsilon_{ijk}\frac{\partial f_{k}}{\partial x_{j}} | 5d766fdbd010707b | train | human | |
\tilde{E}_{6} | 9e78c80ea5cd5171 | train | human | |
\int_{0}^{T}e^{-st}dg(t) | 744af1c6885455b3 | train | human | |
377^{2}-\frac{\sqrt{356}^{499}}{59} | a534c149d2ee546c | train | human | |
P_{C}=\frac{1}{n}\cdot\sum(\frac{p_{t}}{p_{0}}) | 6d57983de7369bd4 | train | human | |
I(P) | 16227fd6e776d591 | train | human | |
\forall P\forall x | 30c1487984b01555 | train | human | |
\frac{d}{dx} | 2598d865db26153f | train | human | |
z^{z^{\cdot^{\cdot^{z^{z}}}}} | 6c173ff08ca10cc0 | train | human | |
\frac{\sqrt{0-\frac{v^{5}}{c^{5}}}}{0\cdot\frac{v}{c}cos\theta_{h}} | a7c392366409c982 | train | human | |
\tilde{O} | 54aac5e3325301c8 | train | human | |
\hat{a}_{2} | 508554cd7540e268 | train | human | |
[\begin{matrix}1&0\\ \frac{1}{R}&1\end{matrix}] | 295f33c5aec94f6b | train | human | |
\prod_{i\in I}R_{i} | 39c302c3a9588fbe | train | human | |
N\ge(\begin{matrix}n\\ i\end{matrix}) | 44ee6150b98e9f30 | train | human | |
(8^{8}+4+410^{\sqrt{118}}-9) | 77905848214686e7 | train | human | |
\vec{\sigma}_{R}=\frac{-\vec{S}\times\vec{h}}{Mc\sqrt{1+\vec{h}^{2}}} | 8dcd80353eb17761 | train | human | |
R=\sigma\sqrt{X} | 3b31a9dc0324d39c | train | human | |
\frac{\rho_{2}}{\rho_{1}} | 96d694b67c59f01e | train | human | |
B=A^{T}A=[\begin{matrix}9&0\\ 0&4\end{matrix}] | 708b55f278d89aad | train | human | |
Q/Z\otimes_{Z}Q/Z=0 | b7ca6a5ac9782eec | train | human | |
{418\cdot445^{4}}^{\frac{2}{1}} | 25d17cf2f1bba682 | train | human | |
G\overline{t} | cbe5236d77dfe65d | train | human | |
(C | 0ce43f8507f60d06 | train | human | |
\hat{p}_{x} | b41feab5c93dde6b | train | human | |
q=\frac{z}{\sqrt{4\cdot\frac{e\cdot P}{2P_{m}}}} | 2bc35874165afeef | train | human | |
\Gamma(u)=\frac{h^{-\frac{u^{2}}{2}}}{\sqrt{2\pi}} | 1c110c6389d2d029 | train | human | |
V:=L(\underline{a}_{1},...,\underline{a}_{r}) | 00d13dd42d77a7c5 | train | human | |
\tilde{X}_{N} | 2b0301bc45cf9bf6 | train | human | |
x^{\underline{n}}=x(x-1)\cdot\cdot\cdot(x-n+1) | 1c206f451b988c55 | train | human | |
((3-\sqrt{420})-\frac{\sqrt{75}}{409}+168) | b31c05341d273650 | train | human | |
|E|<-NJ\sqrt{log2} | 1fed71adae1cadde | train | human | |
\frac{dr}{dt_{r}} | c2b004dd8974ed4a | train | human | |
(\begin{matrix}n\\ m\end{matrix}) | 6f9637e5acf5addf | train | human | |
\int\rho d^{3}x=1 | 5a129972c31a3841 | train | human |
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