image imagewidth (px) 4 512 | latex stringlengths 1 188 | sample_id stringlengths 16 16 | split_tag stringclasses 1 value | data_type stringclasses 1 value |
|---|---|---|---|---|
70^{70^{70^{70^{76}}}} | 31cfd0d43999d084 | train | human | |
=\frac{D}{C_{0}} | 6ed7d72ce0dbf2a7 | train | human | |
\Phi(\frac{\frac{1}{2}-x}{\sigma}) | 8b4b19778f55facb | train | human | |
(\frac{10}{164}+7)^{\frac{10}{451}-\sqrt{21}} | 2397835f330ec320 | train | human | |
Q^{(g)} | 4ca13070308ea2c7 | train | human | |
F=G\frac{m_{1}m_{2}}{r^{2}} | 811271e9d940827f | train | human | |
h(\tilde{y}) | 3d71800767788e7d | train | human | |
\frac{\alpha^{2}}{2} | 0129cc9acd5b89e0 | train | human | |
z\notin S | c51b6ffe201e913a | train | human | |
\int e^{-x^{2}}dx | fe2d3bd8b152d5e4 | train | human | |
D_{j}=\frac{\partial}{\partial x_{j}} | cafae290ad7f6552 | train | human | |
\int\sqrt{x^{2}+a^{2}}dx | 76029ea737ae5771 | train | human | |
\frac{n}{2}+1 | 26d1faf8c62a0aa2 | train | human | |
\tilde{D}_{7} | abc96c7e4f7291b0 | train | human | |
x_{3}=\frac{3}{4} | 8cca59e7b6e05fcd | train | human | |
\sigma(x)=x^{2} | 1bd2d28c98f155ab | train | human | |
\int_{0}^{\infty}\frac{e^{-(\frac{(q\cdot g)^{2}}{2k})}}{\sqrt{2\pi k}} | c83fef690b12f72f | train | human | |
v=\frac{\overline{X}_{8}-\overline{X}_{2}}{\sqrt{\frac{h_{8}^{2}}{N_{8}}\cdot\frac{h_{2}^{2}}{N_{2}}}} | 9a3ce237541e68c3 | train | human | |
\int e^{u}cos(u)du | 86a0acd38ced9636 | train | human | |
=P(A)P(B|A) | f91b5e4be1b9ba70 | train | human | |
\frac{C(4,2)}{C(7,2)}=\frac{6}{21}=\frac{2}{7}? | 00a54ac66a96d9a8 | train | human | |
\int_{0}^{T}PdX=nh | 5472bb447de6bf0d | train | human | |
\frac{1}{i!} | 9215b764ba09c500 | train | human | |
P_{r}=\frac{\eta C_{p}}{M\kappa} | bdf38081e52e560b | train | human | |
\int_{0}^{1}(f(x)-y)^{2}dx | f6744675e47bd934 | train | human | |
\sqrt{x} | d1d7006bf7b2c1ca | train | human | |
E=\frac{N-600}{8} | bc36ecfef4ce3444 | train | human | |
\frac{\delta L}{\delta g^{ab}}=0 | 2ec2f72fa1d66f37 | train | human | |
\frac{(394+1)}{\frac{\frac{3}{184}}{102}} | d412738b65d977f7 | train | human | |
g=\prod_{i=1}^{k}p_{i}^{n_{i}} | 0d450896e45ac119 | train | human | |
\beta<0 | 9e9d613b5dff1eac | train | human | |
\overline{hu^{2}}+\frac{1}{2}k_{ap}g_{z}h^{2} | 916d11a5ab683c0e | train | human | |
\frac{m}{\sqrt{9\cdot\frac{v^{2}}{e^{2}}}} | fb2e2bcc8de166ae | train | human | |
A(q|\Gamma)=\hat{P}exp | a6002d5da8617aa9 | train | human | |
\int vds | 456b108d9b65843e | train | human | |
\frac{\pi}{3\sqrt{3}} | 36eccfe90b2cdea2 | train | human | |
o^{o^{+^{+^{o^{x}}}}} | 408af8ea77c0163c | train | human | |
N\approx\frac{2500}{\pi(1-P)^{2}} | e546c27a8feb4911 | train | human | |
Ext_{R}^{i}(k,R)=0 | 42e9a4dbb7993bf5 | train | human | |
\frac{2\pi k}{N} | a067b28a52138e8f | train | human | |
a^{\prime}=\frac{dv^{\prime}}{dt}=a | a465a4fc7b7d07d9 | train | human | |
\frac{\kappa z}{u_{*}}\frac{\partial\overline{u}}{\partial z} | 559dd43e0348fb00 | train | human | |
\tilde{d}=\frac{top}{\sqrt{\frac{t_{0}t_{2}}{t_{0}\cdot t_{2}}}} | 5674c311227869bc | train | human | |
t_{a}=\sqrt{d/a} | 36fa25687cc54dd0 | train | human | |
U(N)=\sum_{i<j}\frac{1}{r_{ij}} | 0d249efbea2a4f4b | train | human | |
g(x)=\prod_{i}h(x_{i}) | c55186f20c54e156 | train | human | |
\frac{\frac{4}{60}}{1}-1^{3}\cdot395 | 13cc6e01e44cd055 | train | human | |
\frac{d}{dx} | 2d694d35872b280a | train | human | |
t_{c}=\sqrt{\frac{m}{k}} | c814f85aac51726c | train | human | |
(\frac{6}{10})^{(\frac{58}{399}\cdot395)} | 0445b2b1ac22dd38 | train | human | |
G^{(y_{\tau})} | db2b490b22df6e09 | train | human | |
T_{n}\ge(\frac{an^{1-b}}{D^{2}})^{\frac{1}{2-b}} | 7168d3fa66d58c91 | train | human | |
x_{1}.\exists x_{2}.R(x_{2}) | 6a456caeb2b91e64 | train | human | |
W\approx\frac{GM}{R} | dd641b007aae2845 | train | human | |
N=e^{e^{e^{...^{e^{j}}}}} | a6c3196c7ef25518 | train | human | |
t=\frac{0}{\sqrt{0+\frac{u^{2}}{c^{2}}}}\kappa | ed83c8baf364780c | train | human | |
-u[n-1] | d093f012d6b59677 | train | human | |
C_{p}-\lambda | 0dbe42153c7eee36 | train | human | |
G=\frac{E}{2(1+\nu)} | 9c9873e0c181c0fa | train | human | |
A^{\mu}=\hat{P}^{\mu}A(r) | 65447e6055a6ff7d | train | human | |
\sqrt{2E} | a56cbf82ddd48d85 | train | human | |
\overline{y}=\frac{1}{n}\sum_{i=1}^{n}y_{i} | 975aba2caf2dc508 | train | human | |
S=\int_{M}BF | 3f6aa44c7e1ad1f6 | train | human | |
\frac{1\cdot171^{9}}{1^{198}} | 90facf89fa237370 | train | human | |
V=Ue^{i\alpha},\alpha\in\mathbb{R} | 4f16b0a601dcb487 | train | human | |
\underline{Z}=Zcos(\phi)+jZsin(\phi) | 5e6924a80c5a775d | train | human | |
s\{\begin{matrix}p\\ 2\end{matrix}\} | 09811840e073e16e | train | human | |
(\nabla_{v}u)_{p} | adc0f1924a882fc5 | train | human | |
19^{19^{19^{19^{17}}}} | 6762e5d367c19fd6 | train | human | |
\int_{x}^{x}f(t)dt=0 | fe136f1e84d7977c | train | human | |
\omega_{0}^{2}=\frac{1}{LC} | dd6a97fb260ffddd | train | human | |
(77^{9}/\sqrt{6})+\frac{314}{272} | 84fb45c6e7eab09f | train | human | |
G,K | 83bf896d8ecd2214 | train | human | |
J(y)=\int_{a}^{b}yy^{\prime}dx | 47a2e7d37dcc9a53 | train | human | |
Q=T_{H}\sum_{p}\Delta S_{i} | dbe164ae85b25cf4 | train | human | |
\{|0\rangle,|1\rangle\} | 03664134a5c3269e | train | human | |
\tilde{I}_{1}^{2} | 531a9d7928d6ac36 | train | human | |
O(\sqrt{p})\le O(n^{1/4}) | 79c82779d98ca734 | train | human | |
\nabla\times E=-\frac{\partial B}{\partial t}(2) | 185169fc8e148de6 | train | human | |
\frac{d\alpha}{dt}=q+\frac{Z}{mU} | da46706312eee04c | train | human | |
\int d\Omega | 76311cac319199c8 | train | human | |
7^{7^{7^{7^{7}}}}-8 | c80780bef3ffd218 | train | human | |
((9+178)\cdot(\frac{1}{8}\cdot8)) | de6a085815d7bc76 | train | human | |
ln(y)=x+C | d7089c0902c796d0 | train | human | |
(\begin{matrix}p\\ 1\end{matrix}) | b50646b8bc5cc3c9 | train | human | |
k=\frac{f_{1}-f_{0}}{T} | 3c9fb2b3e64d5c64 | train | human | |
y(x)=\int g(x)dx | 58e87ce84f143e23 | train | human | |
B=(\begin{matrix}0&1\\ 0&0\end{matrix}) | deb35586bd6b1db1 | train | human | |
\hat{O}^{\prime} | 58683f4dee14c940 | train | human | |
A|\psi_{n}\rangle=a_{n}|\psi_{n}\rangle | 3c5450f0d334918d | train | human | |
D\overline{D} | b1ade9e1714c83f4 | train | human | |
\sqrt{\omega} | b8a32b55408b3ddd | train | human | |
\frac{db}{dt}=\frac{1}{3} | 0418874d7c38b9b4 | train | human | |
1/(s-1-e^{-s}) | 2b0956840d6fcf75 | train | human | |
[\begin{matrix}1&1\\ 0&1\end{matrix}] | 555e8a40a831a636 | train | human | |
{143^{358}}^{\frac{334-127}{209}} | e2c3b5ffa930625c | train | human | |
\hat{y}=-37+5.1x | b68a7871cb5149b9 | train | human | |
God+Devil=0 | 583351aa8d30fd98 | train | human | |
\frac{329}{139}+\frac{71}{1} | e762b6caba031a6c | train | human | |
\frac{dy_{1}}{dt}=-Ay_{1} | 7bf1367526b8b4dc | train | human |
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