image imagewidth (px) 4 512 | latex stringlengths 1 188 | sample_id stringlengths 16 16 | split_tag stringclasses 1 value | data_type stringclasses 1 value |
|---|---|---|---|---|
\int_{-\infty}^{x_{1}} | 66806c3002ca11a6 | train | human | |
(\begin{matrix}k+n\\ n\end{matrix})-1 | cee7d124dd0a49f2 | train | human | |
v(t)=L\frac{di(t)}{dt} | 88e1e0d54fe052b6 | train | human | |
\frac{dy}{dx}=-p(x)y | 0e942f257453f6b5 | train | human | |
\mathbb{S} | 893bfa8a57f975da | train | human | |
[\begin{matrix}0&0\\ 1&1\end{matrix}]:b | 6a1816665640ccba | train | human | |
(n,k,2t+1)_{F} | 8fc8f60e154b2135 | train | human | |
\frac{1}{3} | 3739828608b10e2e | train | human | |
(\begin{matrix}n\\ n/2\end{matrix}) | 15a56b7873165594 | train | human | |
\int f^{+} | 5eb9ca2cc42c2ec3 | train | human | |
(\pm\frac{1}{2},\pm\frac{1}{2},...\pm\frac{1}{2}) | 9a37471bd0a57bb3 | train | human | |
F=(\begin{matrix}N&0\\ 0&1\end{matrix}) | ecc7ca6dbddb70c9 | train | human | |
(\begin{matrix}a&0\\ b&a^{-1}\end{matrix}) | a7b98acb99599359 | train | human | |
\tilde{f}^{*} | 8f1413267e5eaecd | train | human | |
L=\int_{S_{o}}^{S}nds | 9e572aa9db652ed7 | train | human | |
280^{280^{280^{280^{287}}}} | 61e9e3bfed6608bf | train | human | |
{2^{7}}^{9}/1+23 | c9f378820d318b29 | train | human | |
-\sqrt{E_{b}}\phi(t) | 59a4ceec1f3ed08e | train | human | |
3.57\sqrt{10} | 1253bc4016912566 | train | human | |
M_{M_{3}}=M_{7}=127 | 6ebb3a744c41e6f7 | train | human | |
L | 7410a1c0b8f74f63 | train | human | |
0.75\overline{0} | 65c78b55b4864334 | train | human | |
\overline{x_{i}} | d9878bbf13b4a700 | train | human | |
c\cdot\frac{sin\alpha}{cos\gamma}=atan\gamma | 140f015e99ed3018 | train | human | |
-\sqrt{\frac{8}{15}} | d927e2d14445ca1a | train | human | |
(a\pm\sqrt{a^{2}-4})/2 | 2d58b23120a82ce8 | train | human | |
(\begin{matrix}13\\ 4\end{matrix}) | e63d9d4b096a3c70 | train | human | |
R(X)=E[-X] | 2a0e508e24c08a05 | train | human | |
(\begin{matrix}c_{k}\\ k\end{matrix}) | 3baed6d8538ab3b6 | train | human | |
k^{k^{k^{\cdot^{\cdot^{\cdot}}}}} | 3d6d461a5335d1cc | train | human | |
\overline{lnx} | 4f9f079b0967e365 | train | human | |
\tilde{B}_{6} | a0c134bf1d5541b8 | train | human | |
(\begin{matrix}U_{1}\\ U_{2}\end{matrix}) | 0d9f3524edd3cbe6 | train | human | |
\vec{x_{1}}(\tau_{1}) | e30c261aa8faeef5 | train | human | |
\frac{3^{298}}{\frac{\sqrt{3}}{6}+383} | e78949986b41b360 | train | human | |
(\begin{matrix}r3\end{matrix}){(\begin{matrix}41\end{matrix})}^{3}(\begin{matrix}52-4r1\end{matrix}) | d343ead8f478cb24 | train | human | |
(\begin{matrix}n+1\\ k\end{matrix}) | 05d7df9a180bc94e | train | human | |
(\begin{matrix}m\\ 3\end{matrix}) | 40b21f0103276422 | train | human | |
|\frac{Q}{k!}|<1 | f044aaf717b2d646 | train | human | |
\frac{dN}{dt}=0 | 2a5d8cdd77ec7cc5 | train | human | |
r_{0},r_{1},\cdot\cdot\cdot r_{m}\in Q_{1} | 3ed968b479d024f0 | train | human | |
e^{x}-1\approx x+\frac{x^{2}}{2} | 9b5fa9fcc0ebab04 | train | human | |
\psi(\Omega+1)={\epsilon_{0}}^{\omega} | 5773e86839d0a7d9 | train | human | |
\chi_{\lambda}d(\lambda)^{-1/2} | 72909d4d74b6b897 | train | human | |
\frac{PR}{RB^{\prime}}=\frac{SQ}{B^{\prime}S} | 8520c7d85b00e257 | train | human | |
\omega_{S}=\sqrt{\frac{k_{z}^{2}B^{2}}{\mu\rho_{e}}} | 1dfe93c8ef071a84 | train | human | |
\frac{1}{1-\alpha\beta\delta^{\prime}}=1+\epsilon | 69d2ca985cd9b12c | train | human | |
[\begin{matrix}A&B\\ C&D\end{matrix}] | 9c26a190feff587e | train | human | |
(\begin{matrix}0&&1\\ 1&&0\end{matrix}) | 61974e5eac7f109c | train | human | |
z_{\alpha}\sigma/\sqrt{n} | 0d66c3856b654953 | train | human | |
(\nu,\hat{\nu}) | ac8e79fbc07836d1 | train | human | |
2^{4}/\frac{240}{252} | bfcd0f1957da55f3 | train | human | |
\frac{\Delta r}{i}=\frac{R^{\frac{2r_{l}}{i}}-1}{R^{\frac{2r_{l}}{i}}\cdot1} | 54d4ba58f54eb596 | train | human | |
\frac{dw}{dt} | 70a93e8f5ae10b5e | train | human | |
h=2\frac{dA}{dt} | 9ca0964c77a98804 | train | human | |
E=\frac{1}{4\pi\epsilon_{0}}\frac{q}{r^{2}}\hat{r} | a9e2cdfa75ad8666 | train | human | |
C_{\alpha\beta\gamma\delta},C_{\dot{\alpha}\dot{\beta}\dot{\gamma}\dot{\delta}} | a76c71d15ae31661 | train | human | |
\gamma=\frac{(1+w)G_{s}\gamma_{w}}{1+e} | 1f330778605a592d | train | human | |
\varphi_{\epsilon}(x)=\epsilon^{-n}\varphi(x/\epsilon) | e2adaf39cc2d366b | train | human | |
\frac{1}{2}\sum_{i}m_{i}v_{i}^{2} | 599c8546e2342562 | train | human | |
\aleph_{0}<\aleph_{1}<\aleph_{2}<... | 164a530f95fd43bf | train | human | |
GFL=L\Phi | a109590e2df10dff | train | human | |
\frac{\frac{4}{94}}{88^{3}} | fe5d395cc10055f4 | train | human | |
\sum_{j=1}^{J}\mu_{j}Q_{j} | 16f6e31fcc5dcdfb | train | human | |
\frac{M}{y_{c}^{2}}=\frac{q^{2}}{gyy_{c}^{2}}+\frac{y^{2}}{2y_{c}^{2}} | ca07d5f53e6e1827 | train | human | |
((2\cdot2\cdot3)/\frac{5}{5}) | e1c693c0c8d1acec | train | human | |
-2\int Edl | 827d6f2f20fe9c79 | train | human | |
(\frac{10}{5}+\frac{284}{52}) | 6d8a23e5af5eb01c | train | human | |
E_{i}=\int E(t)dt | fc93b529056c6f43 | train | human | |
\rho(N)=||N||_{op} | 4b13d741c34cd7d5 | train | human | |
\frac{4\zeta m}{\sqrt{1-\frac{0m}{vu^{0}}}} | f3526f76d0ca2599 | train | human | |
\frac{\sqrt{2\pi}}{\sqrt{|\nu|}} | 7dfbd44f0a90848a | train | human | |
\tilde{C}_{9} | 3af132488cad4813 | train | human | |
\tilde{\phi}(xU)=\phi(x) | 675843c5d174d1fb | train | human | |
Z^{\prime}\rightarrow Y^{\prime}\rightarrow X^{\prime}\rightarrow | 2109bf3558f10193 | train | human | |
\int_{0}^{t}B_{s}^{2}ds | 284ec3022175ca9f | train | human | |
2\sqrt{n} | effbdfb0f0b75ffb | train | human | |
R/(q_{i}) | c80a0d75f7447d5b | train | human | |
\hat{X}_{i} | d750ec475d72c929 | train | human | |
-2\int Edl | 05e089432270891c | train | human | |
(9^{10}-(\frac{\sqrt{2}}{10})^{4}) | 18c0f91f9186821f | train | human | |
0.1 | 18ca7f34c162ed94 | train | human | |
\frac{4x^{2}-8x+10}{2x+1} | 224a5ed5ee227dd1 | train | human | |
\epsilon_{G}=\frac{\Delta G}{G\Delta c} | 9e1820c269262437 | train | human | |
\underline{P}X=\emptyset | 41829dc527f89cb9 | train | human | |
V\underline{x}=\underline{0} | 4adfb386ce108676 | train | human | |
x_{2}^{\prime}=\frac{x_{2}\cdot vq_{2}}{\sqrt{7\cdot\frac{v^{2}}{a^{2}}}} | b6ed5e5c6e5b45ea | train | human | |
(A-4I)p_{4}=p_{3} | 1856d463e7e7169e | train | human | |
\mathbb{I} | eb8a3bbad3cccc77 | train | human | |
\frac{E-M+S}{4M} | f51f06d5c757bb8b | train | human | |
dn-(\begin{matrix}d+1\\ 2\end{matrix}) | af7780ec0069f417 | train | human | |
v=\sqrt{\frac{GM}{r}} | ff2fe997086ab636 | train | human | |
e^{-X}Ae^{X}=Ae^{X]} | dab91f373db96d28 | train | human | |
\frac{(1-3-1)}{9-9} | 9a00afe510f021bb | train | human | |
=-x-\frac{x^{2}}{2}-\frac{x^{3}}{6} | 3acfa95216574b2a | train | human | |
f(\underline{m})=0 | 5d822bd53a5df40c | train | human | |
\int_{0}^{1}x^{2}dx | 88f1966d33a9e67b | train | human | |
\frac{1+\frac{n}{c}cos\iota_{s}}{\sqrt{1\cdot\frac{n^{3}}{c^{3}}}} | bf713108bdb276ed | train | human | |
\iota(x)=(x)_{n=1}^{\infty} | 80da73906fa2be77 | train | human | |
V=\sqrt{V_{x}^{2}+V_{y}^{2}} | 4f1bede9797bd0e8 | train | human |
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