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^{\#}(\delta_{p}^{v})=\delta_{f(p)}^{df_{p}(v)} | d78018eee21d0525 | train | human | |
y=\int sin\psi ds | f9544f1a821ef261 | train | human | |
\frac{(287\cdot\sqrt{207})^{8}}{(122+155)} | 7ed9fbf795e1d350 | train | human | |
4^{4^{4^{\aleph_{0}}}} | 7de23c4d4f5bf5e6 | train | human | |
[x_{1};x_{2}] | d4a8b217d6d3ef64 | train | human | |
\frac{\partial c}{\partial z} | d381e0c43cc9880c | train | human | |
\hat{\zeta} | 89eb27b581cfaa72 | train | human | |
\hat{6} | 442522c198c5f6e5 | train | human | |
(\frac{\frac{138}{1}}{5})^{\frac{77}{1}} | 93356ce8a156c02b | train | human | |
\frac{\sqrt{3}\cdot\sqrt{168}}{(\frac{413}{3}\cdot326)} | c45732edc29cc4b0 | train | human | |
r=\{x|\{x\}\notin u\} | 6b6040072fd76dcb | train | human | |
\frac{dr}{dt} | c32544b9eb24747a | train | human | |
P_{E}dE=P_{p}\frac{dp}{dE}dE | 06e1c602797d25bc | train | human | |
(\overline{z}) | 731d3ce1051b367b | train | human | |
\sqrt{2p} | 135db3d840ffd725 | train | human | |
\epsilon=\frac{1}{\sqrt{1-\frac{v^{5}}{w^{5}}}} | fccb7568577d9f05 | train | human | |
q_{k}=\frac{p_{k+1}}{\sum_{j\ge1}p_{j}} | 473b3a07d480d72d | train | human | |
\hat{f}(5) | b9a1ebf7eb711e9d | train | human | |
{169^{492}}^{8}\cdot\frac{\frac{152}{10}}{62} | 2e11f2d71722d3fa | train | human | |
\hat{4} | 5a0355326687d16f | train | human | |
\phi_{x}=\frac{Fx}{2EI}(2L-x) | 0d752a35211c4af2 | train | human | |
|\partial\Omega| | e9e173eeae52094e | train | human | |
\frac{\partial\rho(z)}{\partial z} | 38b8fcccf5ae3196 | train | human | |
r=(1+\frac{i}{n})^{n}-1 | 599d7b519d5547aa | train | human | |
p_{X}(x)>0 | 122286e02f073347 | train | human | |
\int f(v)dv=3N | 30ea25f62244ec95 | train | human | |
\forall j\notin S | 3d90b0e10212425b | train | human | |
\tilde{C}_{n} | edbabd56758ef58c | train | human | |
n=\frac{2}{ab}\frac{dA}{dt} | 769311168d849dac | train | human | |
y=\frac{\int\mu q(x)dx}{\mu} | 3570fee7a90aa8c1 | train | human | |
\frac{dy}{ds}=1 | 201f86976d64304e | train | human | |
{9^{9}}^{(3\cdot\sqrt{1})\cdot\sqrt{8}} | fc43762235cc814a | train | human | |
\tilde{b}_{i} | 926f7b4b9e56641c | train | human | |
\frac{dz}{z} | e7df1a1f710b5d65 | train | human | |
\int_{X}fd\mu | 086ddfa5a8acf804 | train | human | |
\frac{4\pi}{3\sqrt{3}} | 07b0ec71796189ec | train | human | |
[\begin{matrix}1&-w\\ 0&1\end{matrix}] | ee558517a712db1b | train | human | |
({\sqrt{56}^{5}}^{1}+10^{\sqrt{5}}) | ef90921f3ec1f35b | train | human | |
(\begin{matrix}p^{r}\\ s\end{matrix}) | c9255918e170e191 | train | human | |
2(\begin{matrix}n\\ k\end{matrix}) | c195a6136813245b | train | human | |
|1/\sqrt{2}|^{2}=1/2 | 221529fdaa09cac9 | train | human | |
(\frac{\frac{8}{3}}{4}-\sqrt{4}-94) | d9cbe3da024872e7 | train | human | |
(4+9-11-482) | 548483a30e49a1c0 | train | human | |
\hat{f}(x) | 1a173d061d5b185b | train | human | |
I_{s}=\frac{I_{\pi}}{\pi} | 5a322fb33c7bf82d | train | human | |
E=xx,F=f(xx) | 9d2ba0db7239bcc2 | train | human | |
\{B,t\},\sigma^{2} | 1c88213407826094 | train | human | |
\frac{m}{\sqrt{9+\frac{g^{2}}{c^{2}}}} | d26f0e0c1322f438 | train | human | |
\begin{matrix}2&2\end{matrix} | 01b0b3383497bb9f | train | human | |
\hat{y}-y | 2aeb7e63345f2aeb | train | human | |
\frac{2a\times b}{a+b}=d | c921d98b52a5d558 | train | human | |
\int_{0}^{1}f(x)dx=1 | 14257d8633074949 | train | human | |
7=(3-\sqrt{2})(3+\sqrt{2}) | f7897dfe2b19eef6 | train | human | |
\tilde{E}_{i}^{a} | 2eb3bb5a36fa309c | train | human | |
p(r)\propto\frac{1}{r} | a98e785edb6b52c8 | train | human | |
j\notin I | d498ec8520ba78c1 | train | human | |
\frac{(94+220)}{122}-\sqrt{2}^{180} | a596f3e6d035ec06 | train | human | |
\int ds\sqrt{v} | 72c0aef07dec372e | train | human | |
M_{i}=\sum_{j}\frac{z_{j}}{r_{ij}/r_{0}} | 4d4e7017d4ad162d | train | human | |
E[U(W_{T})|\xi_{[T-1]}] | 8bf23b9579130cdd | train | human | |
v(t)=I\frac{dl(t)}{dt} | 0a2f81a1eff254b7 | train | human | |
\frac{\frac{9}{374}}{9}-1+265 | d233bcef008bdc82 | train | human | |
R_{0}=\frac{L}{\sqrt{E^{2}-P^{2}}} | 1ff67c35e87abd35 | train | human | |
A=3\sqrt{25+10\sqrt{5}}a^{2} | db6a46b1af6f74db | train | human | |
\tilde{h}(E) | 3dc9e00861bffc7e | train | human | |
G_{ab}=R_{ab}-\frac{1}{2}Rg_{ab} | c8704ef1cc995046 | train | human | |
w_{i}n_{i} | b4adfafc17789deb | train | human | |
\frac{dM}{dt} | 6b924a6a1557f202 | train | human | |
x=\frac{a}{2}\sqrt{2}-\frac{a}{2} | 8f327216d8350c21 | train | human | |
\frac{484^{6}-287}{(\frac{10}{\sqrt{3}})^{\sqrt{151}}} | 67d37318bef5fdbe | train | human | |
R=i\Omega | 59ee1fed74e41d45 | train | human | |
\hat{s} | 0e5a031618e3947f | train | human | |
\omega_{s1}=\sqrt{\frac{k_{1}}{m_{A}}} | c57c23fc0fcb247d | train | human | |
\overline{K}(C) | 0daa6c5e28e360dd | train | human | |
\zeta\rightarrow\frac{f(\zeta)}{\zeta-T} | 0a435051c7b565f1 | train | human | |
\int_{0}^{t}Y(r)dr | 9fbc9f4162011eda | train | human | |
||\tau_{h}f-f||_{p}\le\omega(h) | d5e18acb2cc9a17d | train | human | |
dx=\frac{2dt}{t^{2}+1} | 64e94095ccc0e94c | train | human | |
\int HdX | c6240e97eec3111a | train | human | |
n^{\underline{n}}=n(n-1)(n-2)\cdot\cdot\cdot1 | fe175c338385a39c | train | human | |
V_{+}\oplus g_{0}\oplus V_{-} | 8c6f798393b7240b | train | human | |
\theta=T(\frac{P_{0}}{P})^{R/c_{p}} | d2b73b17e4a205fe | train | human | |
\overline{d}(A) | e17135c74e992818 | train | human | |
\sqrt[n]{\prod_{i=1}^{n}r_{i}} | eaad2ad0f7011bb2 | train | human | |
(\frac{\partial T}{\partial S})_{P}=\frac{T}{C_{P}} | dca50bbf47377b4d | train | human | |
\overline{z}=\overline{C}+i\overline{S} | 9c0f264f1dc6a1e6 | train | human | |
\frac{g(x)}{F(b)-F(a)} | 7d6e8e0f5278e5da | train | human | |
R(p,t)(r) | 0f10b9f875631a53 | train | human | |
cot(\frac{x-t}{2}) | 36b23af95a40ebe7 | train | human | |
(\begin{matrix}k-1\\ D-1\end{matrix}) | 89dd11bc73786e30 | train | human | |
\hat{f}(3) | 27964782ad8c3319 | train | human | |
S=\sqrt{L^{2}+(x+a/2)^{2}} | aa1a56c9200b394a | train | human | |
P=-\frac{dE}{dt} | e0e304641a893915 | train | human | |
E[\frac{1}{X}]=\frac{1}{\mu}+\frac{1}{\lambda} | 217846ed70ba37e1 | train | human | |
n=[\begin{matrix}0&1\\ 1&0\end{matrix}] | 915cf2cdcfe87f56 | train | human | |
A\rightarrow B:\{N_{B}\}_{K_{PB}} | 22702b5d942440ac | train | human | |
a/b\ge0.3 | e8fac1f2a4f2ba4d | train | human | |
\frac{\partial f_{k}}{\partial x_{i}} | 098408f758a9223c | train | human | |
g=\frac{mb}{\sqrt{7\cdot\frac{b^{2}}{c^{2}}}} | d0297a36a2f8288f | train | human | |
\Pi_{\omega}^{\delta} | 580ceaf89676fd48 | train | human |
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