image imagewidth (px) 4 512 | latex stringlengths 1 188 | sample_id stringlengths 16 16 | split_tag stringclasses 1 value | data_type stringclasses 1 value |
|---|---|---|---|---|
s=\frac{log2+2\pi ik}{log3} | ceb9041bb827754f | train | human | |
\lambda_{1},\lambda_{2}=\alpha\pm\beta i | 8c773a534b21bcc3 | train | human | |
\int\frac{dx}{1+x^{2}} | 32fc22246075d22e | train | human | |
m=0.7230 | e2993612dca776ca | train | human | |
\frac{\frac{4}{87}}{(69-10\cdot2)} | c4c8296cb16247b3 | train | human | |
\frac{\sqrt{70}}{469}+(\frac{4}{10})^{304} | 83310e8c27092312 | train | human | |
(328\cdot9)+(287^{221}+473) | fc72eaddd0920c2c | train | human | |
V=\frac{-AN\mu_{0}}{l}\frac{dI}{dt} | 024562a2af2f8270 | train | human | |
\frac{\alpha}{\alpha+\beta}B+\frac{\beta}{\alpha+\beta}b | 47f2a0808af5b955 | train | human | |
\frac{1024}{729} | 2d8e8fcd9a2ba513 | train | human | |
2^{x}=3^{y}={(\frac{1}{6})}^{z} | 5d5db7b0fe467638 | train | human | |
\{5,1\}^{3^{3^{\aleph_{5}}}} | 4cc78b298b0f670d | train | human | |
\sum_{n=2}^{7}\frac{1}{2n+1} | 52f9ce2ecc68f62f | train | human | |
y=\frac{(j_{2}+16)^{3}}{j_{2}} | 6b4ec6e19477e27e | train | human | |
7+5\sqrt{2}=14.07106... | b0e3c64309e960cd | train | human | |
(\begin{matrix}n\\ k\end{matrix})_{q} | 01156d10b9d1c7e5 | train | human | |
f=\sqrt{-g_{\mu\nu}\dot{x}^{\mu}\dot{x}^{\nu}} | 60bea9ad2c4b5bf8 | train | human | |
\frac{\frac{\sqrt{84}}{8}-206}{\frac{(6\cdot\sqrt{3})}{7}} | f6e0bede20950ed4 | train | human | |
DB\equiv\frac{1}{N}\sum_{i=1}^{N}D_{i} | d926ef6971866209 | train | human | |
\frac{\sqrt{239}}{4}\cdot\frac{264^{6}}{\sqrt{302}} | ec823c29d7a5fcc7 | train | human | |
\frac{dy}{dx}=\frac{2x}{y} | 4ad00c5132764144 | train | human | |
(467/448-168)\cdot\frac{136-8}{4} | 9610f90439482a5f | train | human | |
|z|=\sqrt{a^{2}+b^{2}} | aa69c4e04c0664a2 | train | human | |
a^{-\frac{1}{3}(\frac{log\frac{x}{x_{8}}}{log\Xi})^{3}} | 5e611a55facd9602 | train | human | |
q(\frac{1}{\epsilon},n,size(f)) | a8815e2df52b3368 | train | human | |
\frac{1-m^{2}}{m}Y | ba79763190bc76ab | train | human | |
AF=\frac{E}{V} | 3dfbd7f72ee7778a | train | human | |
\frac{m}{\sqrt{\frac{l^{2}}{u^{2}}+0}} | eef654135bc55111 | train | human | |
\tilde{f}_{0}:X\rightarrow E | e444e89d300db6e7 | train | human | |
|\{e\}(k)|=\gamma_{k} | cfa2593d4c633581 | train | human | |
M[\begin{matrix}a_{1}\\ \vdots\\ a_{n}\end{matrix}] | 51f5151bbfee774f | train | human | |
|\overline{BL}|=\frac{\pi}{2}r | d32722e26388c5f4 | train | human | |
\frac{\frac{\sqrt{131}}{3}}{(454-1)\cdot7} | 0eff46863af15c44 | train | human | |
(10^{8})^{(10^{8})} | d1903e2b425b13a0 | train | human | |
c\subseteq(c^{\prime})^{+} | a55df9de2f81c57b | train | human | |
S=\frac{QP_{a}-1}{Q-1} | cb1ebc0a35460de7 | train | human | |
|\psi\rangle=\sum_{m}|j,m\rangle | 793e6a8fe3ac59d5 | train | human | |
p(z)=\prod_{n}(z-c_{n}) | 18a9aaf7d539d11c | train | human | |
\frac{\frac{237}{445}-431}{\frac{10}{164}} | d569fde55a05ce98 | train | human | |
x=\frac{1}{sin\alpha} | 80034a1517955d7b | train | human | |
\frac{d}{dt}x(t)=f(x(t)) | ffdc9d80dca2658e | train | human | |
\beta_{S}=-\frac{1}{V}(\frac{\partial V}{\partial P})_{S} | 8143cdbb625d4ecf | train | human | |
\tilde{N}(s)=L\{N(t)\} | 5d7a17eac5f93e38 | train | human | |
\zeta=\frac{1}{2R}\sqrt{\frac{L}{C}} | 794eb1c31902d3e0 | train | human | |
\frac{(3-\sqrt{2})}{\frac{1^{6}}{7}} | 43fc92e0718ac0f0 | train | human | |
\int a(x)d\mu | 7ec620840cd7de7b | train | human | |
J_{i}^{j}=\frac{\partial f_{i}}{\partial x_{j}} | c95a1153a284ba43 | train | human | |
\hat{x}_{i} | b20bafbb0478d147 | train | human | |
\tilde{F} | 65b3ddd6e8767290 | train | human | |
\vartheta(n)=\frac{1}{\sqrt{1-\frac{n^{7}}{c^{7}}}} | 476dbc2c8e31f538 | train | human | |
f=\frac{V_{f}}{V_{f}+V_{m}} | 74716240802d62fe | train | human | |
71\frac{7}{10} | 200895240162fdfd | train | human | |
\int f(x)d_{q}x | e560ec204cd960e7 | train | human | |
\sum_{i=1}^{M}n_{i}=N | 35dda67612c5c0ef | train | human | |
(\begin{matrix}a&-m\\ c&n\end{matrix}) | 21e12a60f26351c1 | train | human | |
[\alpha]_{\lambda}^{T} | 48ae505d3e82d892 | train | human | |
\tilde{C}_{6} | 2f92485d52d11357 | train | human | |
i_{C}(t)=C\frac{dV_{C}}{dt} | a03d6c854312249d | train | human | |
\{\begin{matrix}3,3,3,3\\ 3,3\end{matrix}\} | 9887ecc3f9c979b8 | train | human | |
((2\cdot2\cdot3)/\frac{5}{5}) | 0fec3a96ee324a71 | train | human | |
v=\int\frac{dv}{dx}dx | 3d5e160b2fee3697 | train | human | |
V=(\begin{matrix}0&1\\ 1&0\end{matrix}) | d8e38e2b1b8bf7e0 | train | human | |
\beta=\frac{9}{\sqrt{\sum_{\varpi=9}^{z}\frac{c^{2}}{f_{\varpi}^{2}}}} | bb0ef10e0bec12ab | train | human | |
\tilde{p} | d073aa539d9af599 | train | human | |
c_{1}^{\prime}=\frac{c_{1}}{b_{1}} | b7375942d84b314b | train | human | |
\int sin(x)e^{x}dx | fd6f6c148101309f | train | human | |
x\notin W_{i} | 66a6cc7968c1bd96 | train | human | |
(\begin{matrix}0\\ 0\end{matrix})=\frac{0!}{0!0!}=1 | 5991f6ea4eee454e | train | human | |
\sum_{j=1}^{r}(r-j)\delta(\alpha_{j}) | 035e979b3f1101db | train | human | |
\tilde{C}_{7} | d53ad8c2f165c3f0 | train | human | |
\mu=\frac{N+1}{2} | 7458553cfa59482d | train | human | |
\Omega | bfb42db2a90ecb39 | train | human | |
z_{\alpha}\sigma/\sqrt{n} | 20bba185c0ba7b87 | train | human | |
1/\sqrt{1+\epsilon^{2}} | eafaf2db8abae47f | train | human | |
\frac{(167+446)}{(\frac{\sqrt{2}}{276})^{443}} | e72c70f3fa54bb1f | train | human | |
\frac{1}{\sqrt{1\cdot\frac{m^{2}}{s^{2}}}} | 0b115b5121693613 | train | human | |
\varphi(m,n,1)=m\cdot n | a0110e55edbe141c | train | human | |
\tilde{C}_{7} | fec9960806249832 | train | human | |
R=S(\frac{Et^{2}}{\rho})^{\frac{1}{5}} | 92541c1d0ab28d99 | train | human | |
\underline{u}:A | e223521cef49716a | train | human | |
\frac{x^{2}}{2}\alpha-y | 521cee3271dbeffc | train | human | |
\int f=1 | 019b21062ffbc608 | train | human | |
(\begin{matrix}n-1\\ t-1\end{matrix})=r(\begin{matrix}k-1\\ t-1\end{matrix}) | 2246c73ba6c00978 | train | human | |
\frac{d[C]}{dt}=k_{2}[A][R] | e3215eec9a30ab23 | train | human | |
\rho(x)=\frac{e^{\cdot\frac{x^{9}}{9}}}{\sqrt{9\psi}} | 43bb9aa8ce103926 | train | human | |
\hat{G} | 7e510995f80f844a | train | human | |
\frac{\partial^{2}v}{\partial t^{2}} | 9d8b5f8e468bb1e2 | train | human | |
\frac{dC_{U}}{dC_{W}} | e83397ac87a37b47 | train | human | |
x_{n}=\frac{A_{n}}{B_{n}} | 0c0e2d8f6064ad86 | train | human | |
p_{eq}=\epsilon_{0}\epsilon_{r}\frac{U^{2}}{z^{2}} | 0e178839961d74b8 | train | human | |
\sqrt{2}+0i | 7b960236764e9c85 | train | human | |
[\begin{matrix}-sint\\ cost\end{matrix}] | cf508d4f858c6ff7 | train | human | |
\sqrt{\Omega^{2}+2K} | 562c1d4003537eeb | train | human | |
\phi_{mn} | 21d586d9a44ea237 | train | human | |
2^{x}+3^{x}=2^{2}+3^{2} | f4388411b7b4bdfc | train | human | |
\frac{6!}{3!3!}=20 | de8d39b476da7451 | train | human | |
A=\frac{4}{3}\eta H^{3} | b87b93cc7ad47a1b | train | human | |
(\begin{matrix}1/\sigma^{2}&0\\ 0&1/(2\sigma^{4})\end{matrix}) | 60ed35cd5da3b44b | train | human | |
s\in\alpha,t\notin\gamma | dfe87f59cdafcd5f | train | human | |
G(t)=\int_{0}^{t}g(s)ds | bfac84124ec79a8c | train | human |
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