image imagewidth (px) 4 512 | latex stringlengths 1 188 | sample_id stringlengths 16 16 | split_tag stringclasses 1
value | data_type stringclasses 1
value |
|---|---|---|---|---|
\Rightarrow v=\sqrt{2gz} | 55c1b365f0df8b56 | train | human | |
\int | 558cd4b5fe778891 | train | human | |
e_{I}^{\alpha}e_{J}^{\beta}\Omega_{\alpha\beta}^{IJ} | 02245c10ea0f10bf | train | human | |
\int_{0}^{h}exp(x^{2})dx | 1d0bf23ac6ae43a1 | train | human | |
\tilde{Y} | 0042efb08dc66a78 | train | human | |
(\forall x,y\in P(\kappa)) | 90ff87f957a88076 | train | human | |
\tilde{B}_{4} | cd70db30f2229b0f | train | human | |
\int_{\Omega}fw>0 | f4cbf8a590bf84d9 | train | human | |
\prod_{i\in I}R_{i} | f41f9a78b241530c | train | human | |
\phi_{wk}=\phi_{Wk} | 178d12123e03166c | train | human | |
\sum_{i=1}^{m}x_{i}=1 | 264a61ef01f953f4 | train | human | |
\int_{0}^{1}2x^{3}+3dx | d7e2fb4123b8fa4e | train | human | |
\frac{V_{max}}{\frac{8}{8\cdot\frac{[U]}{[U]+Z_{i}}}} | e96b6ab3ff2374e1 | train | human | |
\frac{\frac{\frac{9}{3}}{95}}{(1^{2}\cdot281)} | 98e18c3451af0d10 | train | human | |
\frac{(\begin{matrix}6\\ 2\end{matrix})(\begin{matrix}42\\ 3\end{matrix})}{(\begin{matrix}49\\ 6\end{matrix})}\approx\frac{1}{81.207} | 054659811508ab45 | train | human | |
p(f)=\alpha f^{-1-1/s} | 844ab8758cbc7808 | train | human | |
\tilde{H}(q,I) | 66f06412ca97a9cc | train | human | |
(\frac{7}{284}-5)^{56\cdot302^{282}} | 3f1d0f197f12f327 | train | human | |
dsin\theta\approx d\theta | 7c49b49f074c0600 | train | human | |
Pr(X<z) | 50e5fd6781eb2094 | train | human | |
\frac{\frac{2^{10}}{2}}{\frac{104}{\sqrt{4}}} | 53269c9ce05e2c6c | train | human | |
\forall n,h(n)\le h^{*}(n) | 05823e1ba092e4b4 | train | human | |
w^{+\frac{(V+M)^{2}}{2{(s_{V})}^{2}}} | 63f70eb7cbcf47e8 | train | human | |
(\frac{\frac{3}{492}}{149})^{{6^{202}}^{8}} | 3098225efbac943b | train | human | |
P_{m}=0.01(V_{h})^{2} | 4872ca9197a04b6c | train | human | |
\frac{dx}{dt}=c | 9e5719ac6abaa892 | train | human | |
=\prod_{k=1}^{n}[k]_{q} | 7c350f940e3dc49c | train | human | |
\Gamma(\frac{1}{2})=\sqrt{\pi} | bbfc923f92bd4c66 | train | human | |
\frac{dm}{dt} | d256348a70413a78 | train | human | |
\frac{\partial\eta}{\partial t}=-\frac{1}{\epsilon_{o}}\frac{\partial q_{s}}{\partial x} | 76fa12239f9698ff | train | human | |
|\overline{VU}| | 9da2e4a3cfa6da3b | train | human | |
(4,4) | b49a6ed472719c18 | train | human | |
i_{c}^{z} | 81b0a1b477a943cf | train | human | |
\frac{3}{2}\sqrt{2} | be60a48479111756 | train | human | |
C=\frac{\partial P}{\partial\rho} | b9f279abded85aa6 | train | human | |
x+x\in\{4,0,-4\} | 783102e2869508da | train | human | |
\tilde{C}_{8} | 463a450eb3764913 | train | human | |
(\frac{5}{18})^{{6^{\sqrt{368}}}^{1}} | fcbf08d273799a20 | train | human | |
v=\frac{a-b}{2} | 6801c01ff53090f0 | train | human | |
\{\begin{matrix}3\\ 6\end{matrix}\} | bb7bf0e97e43e091 | train | human | |
\frac{du}{dx} | b17f6f3fd0d2de26 | train | human | |
|E(x)|\le\frac{1}{3}\cdot10^{-6} | 97ac465d9c508a49 | train | human | |
P_{\beta}=\hat{a}+\beta e_{\infty} | 5e9ed2e2ba86466e | train | human | |
\sqrt{3} | c0cc405c425ad63a | train | human | |
N\overline{x} | 37621e2f6aa8dbc8 | train | human | |
r_{ky}=\frac{\overline{ky}}{\sqrt{\overline{k^{3}}\overline{y^{3}}}} | 57658d1c6c9f1f7f | train | human | |
2^{s_{k}-1} | 628bd9c55ed1ae99 | train | human | |
\tilde{k}\in\tilde{K} | aef73519da247ecb | train | human | |
\omega_{ce}=\frac{eB}{m} | 18caa05efa47d608 | train | human | |
{{3^{\sqrt{9}}}^{468}}^{(\frac{431}{38})^{7}} | 8bb4393765929efa | train | human | |
\int_{0}^{T}f(t)dt | 1f6db58f7ee38526 | train | human | |
(20+443)^{9}\cdot\frac{195}{469}\cdot8 | b568efd11e9a2787 | train | human | |
\infty\notin A | be9b60032cd5883b | train | human | |
\frac{4ab}{\sigma^{2}} | 9f410bb12f2d5167 | train | human | |
\tilde{\beta} | b08dd0465d182f32 | train | human | |
k=\frac{m!}{n!\times(m-n)!} | 0851a44e772bc2ab | train | human | |
E_{2}(X)\ne0 | 0440c3a47f783698 | train | human | |
|\frac{d\hat{z}}{d\tau}|_{L^{\infty}([0,\hat{T}];X)}\le1 | a5ce613a185fc412 | train | human | |
\tilde{x}(t) | 421cb8c29ef9e90b | train | human | |
\tilde{d}>1 | ed3e094909980dff | train | human | |
(\nabla\times u)_{z}/\Sigma | 4c030149c3659c96 | train | human | |
\gamma=\frac{C_{p}}{C_{V}} | b8ec02657cb148d2 | train | human | |
\frac{5\cdot140}{4}-7^{357} | 21ae5bb38ba75ce0 | train | human | |
L(a)=\frac{1}{2}R(a,1). | 779f976111f4c818 | train | human | |
z^{z^{z^{-^{-^{-}}}}} | 3c81e7bb9ba171a6 | train | human | |
=\frac{G_{a}}{4\pi}\lambda^{2} | 47843e2b45c63fe9 | train | human | |
(\frac{1+\sqrt{1-\beta^{2}}}{2})T | 841befe0293a4a77 | train | human | |
ds\ge\frac{\delta q_{act}}{T} | 43d57ba1d0c1160c | train | human | |
\frac{a-b}{2} | f71bb90dd1f7d986 | train | human | |
T(\frac{\partial V}{\partial T})_{P} | 50c380fb74eebe90 | train | human | |
\nabla^{2}\nabla^{2}w=-\frac{q}{D} | 1f6b319653bccc16 | train | human | |
h=(\begin{matrix}1&1\\ 0&1\end{matrix}) | 25b02f302e317a86 | train | human | |
a=[\begin{matrix}2\\ 0\\ -1\\ 1\end{matrix}] | 8795000bced73d5d | train | human | |
\frac{dlnK_{eq}}{d\frac{1}{T}}=-\frac{\Delta H^{\ominus}}{R} | c8b08c0af8b43d19 | train | human | |
R(r)=CJ_{0}(\frac{k}{v}r) | 965513914d035f74 | train | human | |
e=a/\sqrt{2} | 5d287c9a392ed811 | train | human | |
(\frac{4-127}{332})^{\frac{\frac{5}{492}}{387}} | dc08997ed3e29fd6 | train | human | |
P=\int_{K}\rho(k)dk | ed2132fc40db9bb7 | train | human | |
\sum_{C,D}\frac{1}{det(CZ+D)^{k}} | b4dbaf5b71490830 | train | human | |
N=e^{e^{e^{...^{e^{j}}}}} | 68a006a932a58697 | train | human | |
\frac{1}{r_{2}(t)}=\frac{a}{r_{1}(t)}+b | df5abc9141843fcc | train | human | |
<<< | 001edc715205b281 | train | human | |
t\hat{\otimes}s=Alt(t\otimes s) | 05f1520a021e323b | train | human | |
\frac{dN}{dE} | 8278cec4b134c4c0 | train | human | |
I(z,z)=\pi/(2z) | 35f20d289a32ef59 | train | human | |
dN_{E}=\frac{dg_{E}}{\Phi(E)} | 17e74adfc7fdeec7 | train | human | |
(\begin{matrix}12\\ 5\end{matrix}) | f26cc2ea56e07312 | train | human | |
(a,b] | 02477bb2ab181b99 | train | human | |
\sum_{n=0}^{\infty}\frac{\alpha^{n}}{\sqrt{\epsilon_{n}!}} | 1b0bc34f69444bcd | train | human | |
\hat{R}_{I} | 02a386a6e0fc7907 | train | human | |
\sqrt[12]{2} | f1a380b65f71203c | train | human | |
0\le\omega/\Omega_{c}\le1 | 51edcbe4e0dd7040 | train | human | |
x_{32} | 1b1802bc23afbe41 | train | human | |
2N\mu\times\frac{1}{2N}=\mu | 6a540b6a7e5249cf | train | human | |
A_{\theta}^{\alpha} | 5926ee8cc8287d08 | train | human | |
\sqrt{\Delta} | d86379ad8faecf4b | train | human | |
[\begin{matrix}0&1\\ 0&0\end{matrix}] | 11f3819febf968f7 | train | human | |
2\sqrt{n} | 5a4f67683bc370f8 | train | human | |
y | 9509c5e1c7596207 | train | human | |
8\cdot9+(5-6-8) | d8103e19299bbacc | train | human |
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