image imagewidth (px) 4 512 | latex stringlengths 1 188 | sample_id stringlengths 16 16 | split_tag stringclasses 1 value | data_type stringclasses 1 value |
|---|---|---|---|---|
n_{pas} | 1fdcf67675b5da79 | train | human | |
(|\psi\rangle)^{\dagger}=\langle\psi| | 17673beb254740a8 | train | human | |
P=-\frac{\partial F}{\partial V} | c88a6e50a5c20348 | train | human | |
[\frac{\partial q}{\partial\theta}]_{j}=[\frac{\partial z}{\partial t}]_{j} | 8d04aa1379ce38fe | train | human | |
[\begin{matrix}2&2&4\\ 3&5\\ 6&6\end{matrix}] | d89b19913e7f0aaf | train | human | |
\frac{1-6pq}{pq} | 72116b773d349cad | train | human | |
u(y)=0.99u_{o} | f931e807468c46d2 | train | human | |
\frac{M}{r^{3}} | 60f179a4d8fd0f93 | train | human | |
(\begin{matrix}n\\ k\end{matrix})=0 | ac9818ef68aaaa8b | train | human | |
\frac{dE_{r}}{dx} | b3232c76c1fbd483 | train | human | |
\int dy=\int f^{\prime}(x)dx | 24adcc4c17fe230d | train | human | |
sup[0,1)=1 | 75b2ce769673a93a | train | human | |
\theta_{13}=sin^{-1}(1/\sqrt{3}) | 897f3e2c9ba69126 | train | human | |
\Delta(1/\rho)=-3h^{2}/\rho^{5} | 4e8c3bf95c0eb152 | train | human | |
A:x\mapsto2\sqrt{x} | 30a8d94e78120097 | train | human | |
lim_{t\rightarrow\infty}\frac{1}{2t}\int_{-t}^{t}f(t)dt | 60ba944d2b524243 | train | human | |
S\notin W | 2742567355740fef | train | human | |
xD(1)=x*\frac{d}{dx}(1)=0 | 2876c5f8d1ae14a0 | train | human | |
B^{2}/(2\mu_{0}) | 4487ce7ca4faa32e | train | human | |
\frac{\pi}{\sqrt{3}} | e2fe4dd73748be4b | train | human | |
\mathbb{Z}[\sqrt{2}] | 773b6c2edb39934a | train | human | |
\psi(\alpha)=\frac{\partial ln\Gamma(\alpha)}{\partial\alpha} | 1cd129e95f3ad7cf | train | human | |
\Gamma(0,x)=-E_{i}(-x) | ee0c88bb72a3dddd | train | human | |
\int_{0}^{T}wx(t)dt | e19a8186e2e67e6f | train | human | |
f(x)-p_{4}(x) | cddee0391997fd49 | train | human | |
-\frac{7}{t^{2}\sqrt{7-\frac{7}{t^{2}}}} | 35c651266d1b7157 | train | human | |
\tilde{Y_{k}} | b9f8200e8b6ad2b8 | train | human | |
\underline{E\Gamma} | 6a32f7cb0cb3fe53 | train | human | |
DE=\frac{1}{2}\pi y^{2} | 1460d265c7e686d4 | train | human | |
\frac{d}{dz}w=w | bd03eadc833ea5fc | train | human | |
\frac{d\nu}{dJ} | c2018dd9ebe14361 | train | human | |
1^{433}\cdot111+\sqrt{5}^{381} | 7c844a3430cec4c5 | train | human | |
\hat{f}(k,y)=C(k)F(k,y) | acf3efa05bdc9432 | train | human | |
\frac{3}{4}<a<1 | 57b21265e5c62c07 | train | human | |
(\hat{K}+\lambda nI)^{-1} | 4666d9ed6ce6fe40 | train | human | |
I=[\begin{matrix}1&0\\ 0&1\end{matrix}] | 3874aae871c1ac02 | train | human | |
(\psi\circ\phi)(U^{\prime})=\psi(V) | c62169fd59a68ef6 | train | human | |
(\frac{1}{249}+10)^{(2\cdot103)^{305}} | b393d8445a8aaba7 | train | human | |
=i(e^{y}-1/e^{y})/2 | 61dccb8af1748383 | train | human | |
\sum k(\begin{matrix}n\\ k\end{matrix}) | 8a77168cc5715ac0 | train | human | |
u^{+i}u_{i}^{-}=1 | a3a63cccffe11d18 | train | human | |
\frac{1}{\sqrt{x^{2}+1}} | 011dbdb85633eac9 | train | human | |
\frac{dx}{ds}=e^{x} | 702fda6f7444e3e2 | train | human | |
\frac{c^{\prime}}{\sqrt{1-\frac{c^{6}}{9}}}\ge1 | 800b1c0ee73c3d61 | train | human | |
\int HdX | 31e2792f7908f51b | train | human | |
C_{n-i}M | 633a65aaf3c9b57a | train | human | |
2^{-L(x)}\le\frac{1}{2}p(x) | 5fb70ee91808b3c6 | train | human | |
P=\int_{K}\rho(k)dk | 8de98594dca5ecad | train | human | |
\frac{3a+b}{4} | 32a93a85b6e1a4c5 | train | human | |
f(x)=\prod_{i<4}(x-x_{i}) | 33ae3f4902af4771 | train | human | |
\frac{\partial^{2}}{\partial t^{2}}P | a79cfe9657fb22ae | train | human | |
d\tau=\frac{1}{c}\sqrt{g_{00}}dx^{0} | 55f21eb9503480f2 | train | human | |
\int_{0}^{\frac{1}{\pi}}|sin\frac{1}{x}|dx\approx\frac{2}{\pi^{2}} | 56b4c82583bb0400 | train | human | |
\sqrt{\Omega} | f6f9d37cb3ab83b5 | train | human | |
b-\langle a,s\rangle/q | 25983f38233520b7 | train | human | |
2\sqrt{1-\frac{x^{2}}{4}}+2 | af299cea1fef1495 | train | human | |
\varphi(t)=2\frac{J_{1}(Rt)}{Rt} | e6a9f276d38123d4 | train | human | |
\sigma\cdot\sigma_{f}=\frac{N}{2\pi} | d5e935936f6c1592 | train | human | |
\frac{b-a}{2} | ae448fecb18a6e61 | train | human | |
15^{15^{15^{15^{...}}}} | 68b491809c2da4bd | train | human | |
\hat{U}|\psi_{i}\rangle | e2f11045f448b68f | train | human | |
(\frac{5}{4}/359)/\sqrt{8}^{146} | 82db6c953c8f725f | train | human | |
\frac{3\Delta}{2} | b89fec4005984396 | train | human | |
Dw_{1}(M)=[G] | fd5605f15e53203e | train | human | |
e^{-\frac{2\pi i}{N}} | 9f769d1c265a4f4c | train | human | |
|x\rangle | face0b2baca59212 | train | human | |
[P_{a}]_{qq^{\prime}} | 9802c057f4fc0d00 | train | human | |
\int\frac{dx}{1+x^{2}} | 4a73f318439cc366 | train | human | |
{[f(x)]}^{g(\theta)} | 7b3ba896da01817a | train | human | |
\sqrt{\delta} | 3150e3298dd11e07 | train | human | |
\frac{\partial s_{c}}{\partial t} | e578f7b0784c9b5b | train | human | |
\frac{42}{1}\cdot\frac{36}{245}/2 | 5ef0558ee9ffe4b9 | train | human | |
\frac{\partial b}{\partial t}=0 | ebb6b4053b8fefb0 | train | human | |
(\begin{matrix}v&0\cdot\cdot\cdot0\end{matrix}) | cbc25aee7a02daa1 | train | human | |
DOF\approx2Nc\frac{m+1}{m^{2}} | 9a3e02bf341916ad | train | human | |
\dot{y}=\frac{dy}{dt} | 2518180c06cf71f8 | train | human | |
z-\hat{z} | 90dca71fa896bd8e | train | human | |
((\frac{\sqrt{141}}{5})^{9})^{\frac{6}{159}/10} | 31496db1c5b9c445 | train | human | |
L=(\begin{matrix}\chi\\ \chi^{\prime}\end{matrix}) | 01c43e844560c937 | train | human | |
(\begin{matrix}A&B\\ C&D\end{matrix}) | 5ae9c1d73f6b4086 | train | human | |
d=\sqrt{2Rh+h^{2}} | 587d30ed31dbd2af | train | human | |
\frac{\sqrt{239}}{4}\cdot\frac{264^{6}}{\sqrt{302}} | 44f5c09ddf150496 | train | human | |
\hat{c}_{p} | 7855aa8a96d1867f | train | human | |
\frac{y-y_{0}}{x-x_{0}}=\frac{y_{1}-y_{0}}{x_{1}-x_{0}} | 931c06913b6d3bec | train | human | |
-\sqrt{s} | bf3250ae28dea80a | train | human | |
\vec{t}_{1}=v_{11}\vec{r}_{u}+v_{12}\vec{r}_{v} | 36596e7e663cf0d6 | train | human | |
\frac{dr}{dt} | 407cda9fc5fe20c6 | train | human | |
r\approx a(1-e)\sqrt[3]{\frac{m}{3M}} | c807dbf1cbfd3d9d | train | human | |
(\begin{matrix}e&0\\ 0&0\end{matrix}) | 4a715af26a225f4a | train | human | |
\{\sqrt{A^{\dagger}A}\} | 13149d98671e71f6 | train | human | |
r_{2}=\frac{k_{22}}{k_{21}} | 5a12480b2354c9f3 | train | human | |
(266\cdot\sqrt{292})+263-\sqrt{10}^{7} | dd167b05e28f4db8 | train | human | |
V(x)=-\int w(x)dx | 6189659c9e2a798f | train | human | |
\int f(x)d_{q}x | ad96c717f71194ee | train | human | |
E\{\hat{x}-x\}=0 | 4055c0fb90d2b2bd | train | human | |
\hat{q}_{i} | a35923cb2ea6cf49 | train | human | |
(189^{6}-81+425^{4}) | 5ae92143b0985c42 | train | human | |
7+5\sqrt{2}=14.07106... | b562ad8254fdfe37 | train | human | |
\frac{\frac{7}{1}}{(2/352)} | b3e2b43ca6faab14 | train | human | |
\theta_{I}^{\alpha}=du_{I}^{\alpha}-u_{I,i}^{\alpha}dx^{i} | 6ae44451946d5746 | train | human |
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