image imagewidth (px) 4 512 | latex stringlengths 1 188 | sample_id stringlengths 16 16 | split_tag stringclasses 1 value | data_type stringclasses 1 value |
|---|---|---|---|---|
\eta=\frac{5q}{2\epsilon}-2 | 36ba04164654d28c | train | human | |
(1-\frac{V_{2}}{V_{1}^{2}}) | 743fca5484849fac | train | human | |
(\begin{matrix}n\\ k\end{matrix})=(\begin{matrix}n-1\\ k\end{matrix})+(\begin{matrix}n-1\\ k-1\end{matrix}) | 392b6e3f7e379b7b | train | human | |
h(\tilde{y}) | a354106f7b9e5854 | train | human | |
\frac{dN}{dt}=0 | b22327dcdc2839b2 | train | human | |
\frac{r^{\prime}}{\sqrt{5-\frac{r^{8}}{6}}}\ge5 | 0f559655f805d449 | train | human | |
[\hat{b},\hat{b}^{\dagger}]_{-}=1 | a8083c308bc30386 | train | human | |
G=(V,A) | bf0002a1ab483b10 | train | human | |
g=\prod_{i=1}^{k}p_{i}^{n_{i}} | 67ace6d451e2edc4 | train | human | |
\hat{m}_{+} | 0d3350f13c8d0c94 | train | human | |
1+k4^{k} | 697e64f90bf91ace | train | human | |
Y=AX+b | 5cf11a9cdffe00f3 | train | human | |
w_{9}^{\prime}=\frac{w_{9}-\frac{v}{c^{4}}o_{9}}{\sqrt{9-\frac{v^{4}}{c^{4}}}} | 6e590324fa67ee2f | train | human | |
(\begin{matrix}11\\ 5\end{matrix}) | 9fea7acddda1eec6 | train | human | |
MPM=\frac{dI}{dY} | 5f50ce7babe1211a | train | human | |
E^{2}=m_{0}^{2}c^{4}+p^{2}c^{2} | 37b1d86fcb6c1bcf | train | human | |
PV=\sum_{t=1}^{n}\frac{FV_{t}}{(1+i)^{t}} | 289b322f31bd9276 | train | human | |
\sum_{j=1}^{\infty}\lfloor\frac{n}{p^{j}}\rfloor | 81b4c13fe053e4da | train | human | |
\frac{BU^{n}-BU^{n-x}}{BU^{n}} | 10b5e79789d03a7e | train | human | |
a_{4}^{a_{0}^{-^{-^{a_{n}}}}} | 521981101f6f967a | train | human | |
\vartheta_{i}\equiv\frac{1}{\sqrt{1-\frac{u_{i}+u_{i}}{c^{2}}}} | d50678f08fc05cd2 | train | human | |
0.5\sqrt{N} | db1a7fe462e51ea8 | train | human | |
s\notin\alpha,t\in\gamma | 404701e04ed62e47 | train | human | |
U_{\epsilon}C\subset\mathbb{R}^{2} | 304bac1322b9d2b4 | train | human | |
y=\sqrt{1-\frac{x^{2}}{4}} | 8d14fa1e4a65f767 | train | human | |
c_{1}=\frac{31}{200} | 32909f93009b53fc | train | human | |
P=F\cdot\frac{d}{t}=F\cdot V | 5ecf362625f1ebfc | train | human | |
\tilde{X}\rightarrow X | f7c1e0c19f1281e6 | train | human | |
\int x^{x}dx | edc433afa87d9543 | train | human | |
D_{a}\tilde{E}_{i}^{a}=0 | 29a03b5f82f6936b | train | human | |
I=\prod_{i=1}^{n}P_{i}^{a_{i}} | 8b370ec3a6685fc8 | train | human | |
\frac{r-t}{d} | 0183d42fe8da598f | train | human | |
Y=1-exp(-X) | 3d8d29ea2679ccd1 | train | human | |
(5+248)^{\frac{184}{39}/\sqrt{9}} | d03286190df7a761 | train | human | |
\frac{\partial E}{\partial t} | c904b8bb6ed5cce6 | train | human | |
w=1-\frac{2}{i\pi}Log(z) | 6fafa4781653a5a3 | train | human | |
\underline{d}(X) | 61bd1f0edffad81d | train | human | |
T=3\frac{V}{g}sin\alpha | cbc09feaaf9f96e9 | train | human | |
R>r | 67403d767d49dbe3 | train | human | |
c=\frac{d}{t} | bc255e789c4efa4d | train | human | |
\frac{x_{1}+x_{2}+\cdot\cdot\cdot+x_{n}}{n} | 4a02214cb216b110 | train | human | |
(f(b)-f(a))\delta | b01b9f30164ecc37 | train | human | |
w=\frac{mv}{\sqrt{5-\frac{v^{6}}{h^{6}}}} | 8b19a416e8d0a251 | train | human | |
\hat{v}_{i} | 4d348733342f703e | train | human | |
\prod_{i\in X}Y_{i} | 93a63fc2327c91cd | train | human | |
V^{1-(r,r)/2} | ae45bf4274699504 | train | human | |
-i\hbar\frac{\partial}{\partial x} | 68ecb4cd5d768f32 | train | human | |
((\frac{15}{360})^{5})^{(\frac{326}{195})^{5}} | d3772b8ab2bb949c | train | human | |
\langle r^{k}\rangle=a^{k}\Gamma(1+\frac{k}{3}) | 88bf33eaadd2cbc3 | train | human | |
\prod_{n=k}^{\infty}(1-p_{n}) | 4f7e26b8d187acaf | train | human | |
(\begin{matrix}x&y\\ -y&x\end{matrix}) | c6950b7455c0d0c8 | train | human | |
e^{-\theta}=\frac{1-t}{1+t} | 254160a741193673 | train | human | |
\mu^{*}=\frac{\mu_{n}\mu_{p}(n-p)}{p\mu_{p}+n\mu_{n}} | 3bbdba3075222627 | train | human | |
g(z)=\frac{Gm_{e}}{(r_{e}+z)^{2}} | 0f949059631e118b | train | human | |
\Gamma_{e}(x=0)\ne0 | c213aeaa5f548cc9 | train | human | |
\int dy | 9364886eaa146d68 | train | human | |
\int dV\rho=q_{2} | d6a968a769ad42ac | train | human | |
iu_{x}+v+u|v|^{2}=0 | 5e474c62c4db6672 | train | human | |
W=\sqrt{K/h_{0}} | 9149a03c110ed373 | train | human | |
v(t)=L\frac{di(t)}{dt} | 4631cea0bbb1f3e5 | train | human | |
F[J;T] | 97d47b6cd9bff738 | train | human | |
-q\int dx^{\mu}A_{\mu} | 12b1e06708ca7913 | train | human | |
2xu-2c^{2}t=0 | 50b34a65b8fd4db9 | train | human | |
I\subset\{1,...,n\} | aa44ccb4943a2221 | train | human | |
f^{\prime\prime\prime}(x)=24x | bbc753f1847bb6e2 | train | human | |
\underline{c} | 3d5c78fe290ee712 | train | human | |
\frac{(167+446)}{(\frac{\sqrt{2}}{276})^{443}} | ea6755d043b305ac | train | human | |
\sqrt{-h} | 5cd76d04b883986d | train | human | |
a_{n}\rightarrow\sqrt{S} | a49b55e96dd14e6a | train | human | |
p(x)=\tilde{y} | d9c2c24e7183b518 | train | human | |
\frac{da}{dt}=3\times\frac{db}{dt} | 287e3d06ad253d6a | train | human | |
\frac{dy}{dt} | 46a00dabf5f15b00 | train | human | |
\frac{dG}{dr}=0 | e91ef20f17dd2fcf | train | human | |
(\begin{matrix}n\\ p\end{matrix}) | 221effa0d706356b | train | human | |
\frac{dR}{dP}=0 | 997815ec6ac5cbe4 | train | human | |
B_{OFDM} | fa791d3c065d94ae | train | human | |
\delta\int2T(t)dt=0 | f7dd1ee344d4c27a | train | human | |
U=[\begin{matrix}M\\ N\end{matrix}] | 7fc0ae16c9321707 | train | human | |
f_{4}^{\prime}=\frac{f_{4}\cdot\frac{v}{c^{4}}a_{4}}{\sqrt{1\cdot\frac{v^{4}}{c^{4}}}} | bd3fb2b3ed6a3b2b | train | human | |
\frac{dx}{x} | c20cb257d16cd16a | train | human | |
\tilde{W}_{t}=W_{t}+\frac{\mu-r}{\sigma}t | 8be242a35e7d5dfe | train | human | |
\rho_{A_{1}...A_{r}}^{J_{A_{k_{1}}...A_{k_{o}}}} | 9765c77140d9e42e | train | human | |
h(X)=\frac{X}{|X|^{2}} | 9746de1616287a58 | train | human | |
k\propto\frac{c}{\sigma}v | 0d07d81cd35dc9ab | train | human | |
\lambda_{B}=\frac{4\pi a_{B}}{\alpha}- | 7c9ee88e6520be75 | train | human | |
dX_{t}=-Xdt+\sqrt{2}dW_{t} | a5001c15a9271ad0 | train | human | |
K_{n_{m}} | cc898d9960557c31 | train | human | |
\vec{a}_{0}=A(\vec{x}_{0}) | c6b760d6917475f1 | train | human | |
\frac{d^{n}F}{d\eta^{n}}|_{\eta=1}=n!c_{n} | 04ec06a6fc742360 | train | human | |
D_{j}=-i\frac{\partial}{\partial x_{j}} | a83858d1a7940ca8 | train | human | |
\frac{\frac{380}{454}}{(35-465)} | b32043ca0ca7092b | train | human | |
\overline{r} | 0af3a3dc0b78b017 | train | human | |
t=\frac{arctanh(\alpha v)}{\alpha g} | 7f750dad0d4c2439 | train | human | |
h:\overline{D}\rightarrow\overline{U} | bd202b8a90bcfb3d | train | human | |
\int_{0}^{1}f(x)dx | 8c1bb94473e46fbc | train | human | |
\frac{1}{1000} | f96c6465648e2b1a | train | human | |
\frac{323\cdot1^{6}}{(\frac{10}{388})^{1}} | 8d1af8c85c7e23f3 | train | human | |
\hat{f}(t) | f41279bd0391dc95 | train | human | |
\tau_{\alpha}^{p} | 58f363851ce0fba8 | train | human | |
\hat{U}(t) | 338fb9c6d4bbbc58 | train | human |
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