image imagewidth (px) 4 512 | latex stringlengths 1 188 | sample_id stringlengths 16 16 | split_tag stringclasses 1 value | data_type stringclasses 1 value |
|---|---|---|---|---|
a=\frac{q}{m}\nabla\phi | c508f1b0942e0f5d | train | human | |
\Theta_{\eta}^{y} | cc30d25ee69c33fa | train | human | |
(k\in S)p_{k}+(k\notin S)(1-p_{k}) | 209a445964bdd171 | train | human | |
\beta<\beta_{f} | 984ce40d883a6d2b | train | human | |
\frac{\partial}{\partial z}=0 | 133d3530e887024a | train | human | |
\frac{D}{Dt}=\frac{\partial}{\partial t}+u\cdot\nabla | 4846642c635b711d | train | human | |
\int Ldt | e2842378ad3424c2 | train | human | |
\alpha=1/\sqrt{\beta_{c}} | 388b944058c7bdb4 | train | human | |
[\begin{matrix}2&0\\ 0&\frac{1}{2}\end{matrix}] | f49cbcfbe6341337 | train | human | |
\sqrt{\Delta} | 00d6c7270d46d08c | train | human | |
lim_{x\rightarrow\infty}\frac{\pi(x)}{x/ln(x)}=1 | 1a93d2b52de4ceac | train | human | |
k[X]_{(\lambda)} | c71d4ccd3d049926 | train | human | |
\hat{S}_{z} | 623b718e4ca9933f | train | human | |
\frac{dy_{1}}{dt}=-Ay_{1} | 0dfdfd867bd630ef | train | human | |
\mu_{n}\otimes_{Z}\mu_{m}\approx\mu_{g} | a79465821bc6683d | train | human | |
Pm\overline{3}n | 572a2c72a7aca208 | train | human | |
\frac{v_{1}^{2}}{2}=b(v_{1}) | cd11eadd04681823 | train | human | |
[\begin{matrix}1&1\\ 0&1\end{matrix}] | 6c3083a4d3dbdd6e | train | human | |
\frac{dx}{dt}=3 | 16e21972c2d8484d | train | human | |
\frac{\frac{4+463}{82}}{\frac{48}{142}} | 6e79c293a1fa4b14 | train | human | |
a,\tilde{a} | 626fdb30bc6ba482 | train | human | |
\hat{\zeta}_{0}(\omega) | 238a8c32b923c497 | train | human | |
\lambda=arctan\sqrt{2} | 5b36b27ac61c78d8 | train | human | |
(\begin{matrix}c_{k}\\ k\end{matrix}) | defb6e4a91605b26 | train | human | |
1.555 | be91affe2ba1ad45 | train | human | |
O(\sqrt{g}) | 8053b47872f22701 | train | human | |
\frac{1}{\sqrt{\frac{1}{k^{2}}+1}} | 02f83f34a7b1fd8a | train | human | |
f(\tilde{x}) | 76f12879952458bf | train | human | |
\frac{C_{6}\alpha_{1}}{4C_{9}}=1 | ca74b74cbc7fa1cb | train | human | |
\frac{df}{dz} | 460b8a03382f3dc9 | train | human | |
[\begin{matrix}1\\ 0\end{matrix}] | a6d0648e8f246969 | train | human | |
w_{i}=\frac{\rho_{i}}{\rho} | f624067c9a978e85 | train | human | |
n=0,...,N | 14943b0659d3e37b | train | human | |
-\frac{1}{4\pi|r-r^{\prime}|} | 9948b39404c00c61 | train | human | |
\frac{1}{2}\omega^{2}Y_{1}^{2}m_{1} | e27d84bf5affd8bf | train | human | |
2^{i}*n_{i} | dbccee2ab71c9911 | train | human | |
\frac{\frac{\sqrt{235}+17}{6}}{(109\cdot6)} | c62d358443522cb6 | train | human | |
n!=\prod_{k=1}^{n}k | 7b787328d68bc1d9 | train | human | |
t=\frac{1}{2\alpha g}ln\frac{1+\alpha v}{1-\alpha v} | 7974db86c4a32a56 | train | human | |
g=\frac{dv}{dx} | 513fbc760849e174 | train | human | |
G_{1}^{l},G_{2}^{l},... | 0d69aea2fb55f065 | train | human | |
\gamma=\frac{Z}{Z_{0}}=\sqrt{ZY} | 1ddcbe5ec7ee36da | train | human | |
(\begin{matrix}a&b\\ c&d\end{matrix}) | ab32d2bc41c53770 | train | human | |
\frac{\rho_{1}}{\rho_{2}} | fbe8c843adcd7f32 | train | human | |
\overline{G}_{k}(X) | aa581b94ac0d6372 | train | human | |
D=\prod_{i=1}^{K}d_{i} | 14ab00ed9e8712e3 | train | human | |
\sqrt{C} | a4dd18b819739226 | train | human | |
\hat{M} | 048fd54e33dc8968 | train | human | |
\int r^{2}dm | cb6c63d327498301 | train | human | |
\theta=tan^{-1}\frac{B}{B_{H}} | 8fc0f419c8220c10 | train | human | |
\int_{a}^{b}f(x)dg(x) | 67d75da7799af3a4 | train | human | |
L=\sqrt{\frac{D}{\Sigma_{a}}} | 869ace6b8f7ccd42 | train | human | |
463\cdot9^{\frac{324}{\sqrt{8}}} | 7b0bbe236a63d78c | train | human | |
q=\frac{z}{\sqrt{4\cdot\frac{e\cdot P}{2P_{m}}}} | 4d88ba2d12fc71d5 | train | human | |
(\begin{matrix}m+n\\ m\end{matrix}) | 6413ec7f7fc318de | train | human | |
-i\hbar\frac{\partial}{\partial x} | 0bc61df12863c8e1 | train | human | |
T_{r}/T_{c} | b7266559dc52e74d | train | human | |
\frac{(1\cdot\sqrt{5})}{280-9^{398}} | d752be59f35d0787 | train | human | |
\frac{\frac{\frac{238}{9}}{4}}{6-248-5} | cc5cc232880d4df8 | train | human | |
{344^{2}}^{\frac{343^{228}}{9}} | 4dd8d89429798506 | train | human | |
\int_{E}w(x)dx | 106b533060e10bf6 | train | human | |
\int_{0}^{\infty}e^{-tx}dx=\frac{1}{t} | 9078e52188883310 | train | human | |
\Leftrightarrow m<nr<m+1 | 332b73c7aced7ac4 | train | human | |
dA=A_{f}.A_{0}^{-1} | f0c3c46789bc4668 | train | human | |
(\begin{matrix}L\\ d\end{matrix}) | b4b462125d6d079d | train | human | |
\int_{1}^{3}(27-x^{3})dx | 5e4cdf65b3decdc6 | train | human | |
G_{\overline{X}} | 7ee46a4dc964d7e5 | train | human | |
\frac{\partial q}{\partial t}=0 | 9046945286e84d67 | train | human | |
\overline{X}_{0} | 19cdcdc8cff17f14 | train | human | |
\overline{CG} | f89784c3c263705e | train | human | |
\frac{\partial\sigma}{\partial K} | ac6ae5852801561e | train | human | |
3\cdot10^{{6^{1}}^{1}} | 68dad8f2889f931f | train | human | |
t\notin E | ee844650fd3d23fc | train | human | |
\sqrt{d} | 4869c5e5b751e0a8 | train | human | |
\eta=\frac{b}{4V_{m}} | f11c6d0288ea7412 | train | human | |
\tau=\frac{\theta}{2\pi}+\frac{4\pi i}{g^{2}} | 5e725b8479992f7f | train | human | |
x=\sqrt{y+(1/4)}-(1/2) | 13f153e16a97cbaf | train | human | |
\frac{dT}{dt}=0 | fa96993d525b02ba | train | human | |
s=\int ds | 703dbdc7ec402ace | train | human | |
\int f=1 | ba6b5ff50ef4efca | train | human | |
((\frac{126}{\sqrt{7}})^{413}-5-182-461) | fbd252f7b81ad940 | train | human | |
K=\frac{[B]_{eq}}{[A]_{eq}} | dfbba815f4046d85 | train | human | |
ANH=\frac{BL_{s}}{450} | 1be0d90379889db3 | train | human | |
\frac{dR}{dt}=-\frac{V}{F}\frac{dW}{dt} | a43d9ca422eec178 | train | human | |
e(\hat{\theta})=\frac{I(\theta)^{-1}}{var(\hat{\theta})} | 12964561f01d1b23 | train | human | |
x^{\prime}=\frac{x}{||x||} | 5dd96a5b3c569e47 | train | human | |
[\begin{matrix}a&c\\ 0&b\end{matrix}] | 743af333026eb917 | train | human | |
||\tau_{h}f-f||_{p}=o(1) | 51107508b90751a5 | train | human | |
i=j=3,4,... | 1bc66a289b16bd10 | train | human | |
\frac{d}{2} | 8816450c6e31fe74 | train | human | |
\frac{1}{\sqrt{(1-\beta^{2})}} | cf2c1320243ce5df | train | human | |
O(\frac{1}{t_{0}}) | 9fa46f92f35c5fcb | train | human | |
1+x+x^{3} | a43ccf615f00432a | train | human | |
S\hat{M} | db76cb2a8cc0e0c6 | train | human | |
lim_{x\rightarrow0}\frac{1}{|x|}=\infty | 4f7eba1373d6f085 | train | human | |
(xy)^{n}=x^{n}y^{n}[y,x]^{(\begin{matrix}n\\ 2\end{matrix})} | b3479c87abe35fe4 | train | human | |
\frac{\partial f}{\partial a} | 5f4d133946d6c1a1 | train | human | |
\prod_{i=1}^{n}f(x_{i}) | da5c1ef27be511cb | train | human | |
B=\prod B/I_{i} | d4d66586f4641332 | train | human | |
D_{i}(g_{t})=\frac{d}{dt}g_{t} | 83f9ae9ecb10fd60 | train | human |
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