image imagewidth (px) 4 512 | latex stringlengths 1 188 | sample_id stringlengths 16 16 | split_tag stringclasses 1 value | data_type stringclasses 1 value |
|---|---|---|---|---|
\hat{D_{B}} | 110f76a97fb66268 | train | human | |
\tilde{p}(x) | 7f56808bf97687e6 | train | human | |
e^{\cdot\frac{(F\cdot M)^{0}}{0{(s_{F})}^{0}}} | 5c7bf87393a38363 | train | human | |
\hat{j} | 563db1d6de6545b8 | train | human | |
5^{\sqrt{429}}\cdot7\cdot\sqrt{111}\cdot397 | 64bd6307b1322291 | train | human | |
\chi_{k-1,\alpha}^{2} | 57465187772055d7 | train | human | |
\hat{t}_{g}(t,\omega) | a657557417c3e41a | train | human | |
I=\frac{ML^{2}}{12} | 43cd1f287e6d7abe | train | human | |
\epsilon(n)=O(\frac{1}{n^{c}}) | 532f9f70fafb316e | train | human | |
(i\cdot n)\hat{f}(n) | 6f6a2eea2020d5f0 | train | human | |
B=\frac{3}{2}A | 019be440703fd56f | train | human | |
H_{p+1}=\prod_{j=1}^{p+1}U_{j} | 3a4f7b580e02a823 | train | human | |
v(-15)/v(-1000) | f3c1a0ce451439df | train | human | |
\int_{\Omega}fw>0 | 9f9434b2b314f4ea | train | human | |
1,2^{j},2^{2j},...,2^{N} | 77e3bba16699b6a8 | train | human | |
(\frac{(210+4)}{9})^{\frac{(7-57)}{9}} | 41b8f196d3b620a8 | train | human | |
u^{n_{w}} | f2669f3ec57dbc0a | train | human | |
(\begin{matrix}2n\\ n\end{matrix}) | 83de70c02385a913 | train | human | |
\frac{\partial q}{\partial t}=\frac{\partial H}{\partial p} | 10da419fb143124f | train | human | |
\sum k(\begin{matrix}n\\ k\end{matrix}) | 8f874d06314f646f | train | human | |
u_{2}=[\begin{matrix}0\\ 1\end{matrix}] | e18f4483c47e2a12 | train | human | |
P(e)=P(X\ne\tilde{X}) | ea8b58146f1cfb44 | train | human | |
w^{+\frac{(V+M)^{2}}{2{(s_{V})}^{2}}} | 64e9f621d3156b4c | train | human | |
\rho=\sum_{i}w_{i}\rho_{i}^{A}\otimes\rho_{i}^{B} | e528435bc996b4a4 | train | human | |
(\begin{matrix}j\\ m+1\end{matrix}) | 13679f2c2cc43119 | train | human | |
2\sqrt{5}\approx4.47>4 | d6b789104a076768 | train | human | |
0<\alpha_{n}<\frac{\pi}{72n^{2}} | 53f30d4531896140 | train | human | |
a^{2}+b^{2}+c^{2}>\frac{d^{2}}{3} | 38d9c2303c211cab | train | human | |
\frac{d}{dx} | 8e4bbe4c27d388ca | train | human | |
\overline{AM} | 8e11b44b8d1e7b60 | train | human | |
|(-x)^{-x}|=\frac{1}{|x^{x}|} | f16646b7af378609 | train | human | |
w=1-\frac{2}{i\pi}Log(z) | a1422109d6907fa4 | train | human | |
u\tilde{u} | 879aeb76e7c36b3f | train | human | |
\hat{t},\hat{\omega} | 1fe85403120ac7cb | train | human | |
\frac{2\pi\epsilon l}{ln(R_{2}/R_{1})} | 13747b9402951d4a | train | human | |
\tilde{\sigma}:G/G^{\prime}\rightarrow G/G^{\prime} | 57d9472cb207a0bd | train | human | |
\nabla T=\frac{\partial T}{\partial\xi^{i}}\otimes g^{i} | 7e7a7990460997ff | train | human | |
\sqrt{z} | 28b6bc4efbfbf58b | train | human | |
\mu_{10}=\frac{\mu}{ln10} | f7781299c68b7684 | train | human | |
\gamma_{\mu\nu}=g_{\mu\nu}+n_{\mu}n_{\nu} | 92443839eb286b2c | train | human | |
\frac{\partial}{\partial c}P_{c}^{n}(c) | 697d668e32e31396 | train | human | |
v_{g}=\frac{1}{\frac{1}{v_{g_{9}}}+\frac{bt}{f}} | 70aca4111af54f85 | train | human | |
g_{(x_{1})} | 3aa05ac63ff6e44a | train | human | |
\overline{S_{1}} | 02037813e3702686 | train | human | |
P=-(\frac{\partial F}{\partial V})_{T} | cfeeb29bc8bccac6 | train | human | |
\frac{2^{7}}{\frac{404}{9}-83} | 869cc7c6de8e1bd3 | train | human | |
Y_{0}\approx1/\sqrt{S} | 493a45d5f05c1a7e | train | human | |
[\begin{matrix}x\\ y\end{matrix}] | ce310ef391ee4b58 | train | human | |
m=\prod p_{i}^{\alpha_{i}} | c844d75d251590b9 | train | human | |
\frac{M(v)_{,v}}{4\pi r^{2}} | 9e1542ce2fe1bbb2 | train | human | |
\theta=\frac{2}{3}\sum_{i=1}^{3}\frac{\theta_{i}}{2} | 91932dad34db0c52 | train | human | |
\tilde{D}_{8} | 205327cba3ab60ff | train | human | |
\frac{1}{2}(n-1) | 1bd84441a891b64b | train | human | |
\frac{2\sqrt{2}}{3} | 3b9a0ae0cffd8cfe | train | human | |
x\notin U | 3e4d60955a4a5369 | train | human | |
(6^{224}\cdot383^{5}) | e0c9bbfe5929ae64 | train | human | |
[\begin{matrix}U_{1}\\ U_{2}\end{matrix}] | 7691378781837400 | train | human | |
3\sqrt{2x}=4 | a3d6fab6c8cfe9bd | train | human | |
3\cdot10^{{6^{1}}^{1}} | 06757516f5ad519f | train | human | |
O(\sqrt{logn_{i-1}}) | b52c41a36af0d787 | train | human | |
\frac{dQ^{D}/Q^{D}}{dP^{D}/P^{D}} | c3ebe186beecb5d1 | train | human | |
(t,q^{i},p,p_{i}) | a91b598f0635def5 | train | human | |
(\begin{matrix}4\\ 3\end{matrix})=4 | 496023e5d7c8cc8e | train | human | |
{193^{8}}^{2-199} | ca3327cdb81ee481 | train | human | |
\frac{G(E-2G)}{3G-E} | 1c39e28d673607f8 | train | human | |
\frac{75}{49} | e340478eea012753 | train | human | |
exp_{a}^{e}(x)=a^{a^{+^{+^{a^{x}}}}} | 9093748557fd6d34 | train | human | |
b=\frac{|r|}{\sqrt{\frac{1-r^{7}}{x-7}}} | 174b8458fedd4147 | train | human | |
B=\prod B/I_{i} | 8f4040228121331d | train | human | |
\sum_{n}\alpha_{n}^{\frac{\delta}{2(2+\delta)}}<\infty | 48668f9a5e45d52a | train | human | |
D=\mathbb{Z}[\sqrt{3}] | c380f4a8dca1584c | train | human | |
S_{M}^{G}=\{s_{1},...,s_{m}\} | 654d6bab439c90ce | train | human | |
t=\frac{hc}{P\lambda}\sqrt{\frac{A}{\sigma}} | ef95b8eb7d64ef85 | train | human | |
\langle v\rangle=\sqrt{\frac{8k_{b}T}{\pi m}} | a26c978053131d11 | train | human | |
La=\frac{\sigma\rho L}{\mu^{2}} | 4ddf4af56910dfc2 | train | human | |
\mu_{p}=(\frac{L}{t_{r}})(\frac{L_{t}}{V}) | faed8beee0215b3d | train | human | |
\sqrt{nc} | dcf840d278031a1c | train | human | |
\frac{d^{3}}{dx^{3}}[x^{4}]=24x | 61f55a4e78e9d4d8 | train | human | |
\Lambda^{(\delta_{m})} | e83b59c64b7b62d4 | train | human | |
\alpha_{i}=\frac{d_{i}(A)}{d_{i-1}(A)} | 4f28de4854c0e508 | train | human | |
\tilde{E}_{7} | 327b498260b7cfed | train | human | |
cos(\frac{1}{\sqrt{\lambda}})=0 | e0fd090ec15143bf | train | human | |
-\sqrt{a_{i}x+b_{i}} | deaa9391e54f162c | train | human | |
\frac{g(t)}{f(t)} | cf5e482bdd9e842e | train | human | |
\sqrt{x} | 357c7b76a4e179a2 | train | human | |
\prod_{1}^{p}E | 1e6c9c2db76d6f6b | train | human | |
\{v_{1},v_{2},\cdot\cdot\cdot,v_{|V|}\} | 6c2777e93ae06f40 | train | human | |
A_{2}=A_{1}(\frac{l_{2}}{l_{1}})^{2} | c2c6a9489c3db4f9 | train | human | |
V^{(c_{n})} | 0e09dde01d8f3bcc | train | human | |
\tilde{Q}_{4} | a636cd6bfd9932d9 | train | human | |
\hat{v} | 13db8d80b9cea7c3 | train | human | |
(\frac{(210+4)}{9})^{\frac{(7-57)}{9}} | 9fbf58b12e36c532 | train | human | |
y=\sqrt{x^{2}-|w|^{2}}>0 | 0b9080af34ee1c84 | train | human | |
\tilde{b}_{i} | 347181085604aea4 | train | human | |
NE(X) | 66ce0197472a966d | train | human | |
\tilde{W}_{t} | a44605be0afc3820 | train | human | |
h\le(\begin{matrix}k+l\\ k\end{matrix}) | 4493fbaf0679be0c | train | human | |
\frac{2-a}{\sqrt{2-2a}} | 0584f53d0b186993 | train | human | |
MS_{Error} | d9e46008a1b4e0a2 | train | human | |
\frac{1+\frac{n}{c}cos\iota_{s}}{\sqrt{1\cdot\frac{n^{3}}{c^{3}}}} | 8c8abc86ea1a485f | train | human |
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