image imagewidth (px) 4 512 | latex stringlengths 1 188 | sample_id stringlengths 16 16 | split_tag stringclasses 1
value | data_type stringclasses 1
value |
|---|---|---|---|---|
\frac{18-\sqrt{30}}{36} | 66143424f796b1f9 | train | human | |
{143^{358}}^{\frac{334-127}{209}} | a09594c265a0c3ab | train | human | |
\frac{a_{n}\alpha^{n}}{2^{n-1}} | 70671f267ab824ce | train | human | |
\forall P\forall x(x\in P\vee x\notin P) | f0e00682cb14baec | train | human | |
\frac{dy}{dx}=1/4 | 0513aa740986747c | train | human | |
\langle\hat{T}\rangle | b7c923acdbbe017a | train | human | |
A=l^{2}+l\sqrt{l^{2}+(2h)^{2}} | c6ed66c14fd73bce | train | human | |
\frac{aX+b}{cX+d} | 1563fcd03aaf146a | train | human | |
\Rightarrow\frac{Adh}{a\sqrt{2gh}}=dt | c5a98fc0db8c3538 | train | human | |
21x=\frac{1}{x^{3}} | 57f1e7cd8d2a5f1c | train | human | |
v\propto\sqrt{E/\rho} | 0697b26f1f0d66fb | train | human | |
\hat{y} | afbdd78c1c0e51e3 | train | human | |
R=\frac{1}{\sqrt{-K}} | 14fa1ebc1337d8e1 | train | human | |
(\begin{matrix}S-1\\ D-1\end{matrix}) | 6bdfb2c7f759fb4c | train | human | |
\frac{(4+285-95)}{\frac{\frac{360}{500}}{41}} | 20756c969a178be4 | train | human | |
[\begin{matrix}d+1\\ k\end{matrix}] | 2388f91c3e3ed912 | train | human | |
\hat{f} | 21ce6b24f9f73989 | train | human | |
\tilde{D}_{5} | 9e674e1c7054614a | train | human | |
\tilde{r}_{E} | 3ee3552e918c8ce2 | train | human | |
\int vdu | 51050136045ee19f | train | human | |
|\pm\rangle=\frac{1}{\sqrt{2}}(|0\rangle\pm|1\rangle) | 4b3c77b4267c1084 | train | human | |
f(\tau,z)=0forz>l | 44f8604bc990f53f | train | human | |
m\frac{d^{2}x}{dt^{2}}=-mg | 25aeb2f64b957eb0 | train | human | |
\alpha=\frac{\sqrt{2m(V_{o}-E)}}{\hbar} | 390bf1d907830326 | train | human | |
\frac{a}{b}=\frac{1+\sqrt{5}}{2} | 689c0a01903c2c1e | train | human | |
A=\bigcup_{i=1}^{n}A_{i} | d617b1e8bfd8249d | train | human | |
P_{r}=S\frac{\lambda^{2}}{4\pi} | 344e94bdcf59761f | train | human | |
\int_{\gamma}f(z)dz | 5204d540595772df | train | human | |
(\frac{96}{387})^{\frac{10}{2}} | 950b33b075fc991c | train | human | |
H_{k}(X;A)=A^{r_{k}} | c420aaf1a2066ed1 | train | human | |
\bigcap\{\overline{B}_{0}:B_{0}\in B\} | de9086037cfd4279 | train | human | |
\hat{i} | a563bec659664e36 | train | human | |
A=\frac{\sqrt{3}}{4}a^{2} | ac6d6cec977d7de3 | train | human | |
\sigma_{1}-\sigma_{2} | 8435b1aa833d7c82 | train | human | |
\int e^{x}cos(x)dx | 36e55b180c88dd41 | train | human | |
M-\overline{V} | d91e20c19ae20fd7 | train | human | |
U=\frac{2}{3}X | 0304d21982882219 | train | human | |
-\frac{1}{2}+\frac{1}{2}i\sqrt{3} | 47a1dc7b4c4b6eaa | train | human | |
(\begin{matrix}2\\ 4\end{matrix}) | 8a180cfa26bffd2f | train | human | |
e^{38^{38^{38^{322}}}} | 6e590a90c4baba70 | train | human | |
\frac{469\cdot5}{\frac{6}{4}} | d10dc8449ba9394e | train | human | |
p_{3}=x^{5}-x | dffa02fc375b46dd | train | human | |
\{\zeta\in\mathbb{C}:Im\zeta>0\} | 0cad6c44acb3c8ed | train | human | |
a(x-h)^{2}+k | 0953e714a6ebac05 | train | human | |
GM=\frac{3\pi V}{P^{2}} | 7b048b423e2c5afb | train | human | |
\underline{P}X\ne\emptyset | da2a99a92dac206d | train | human | |
(\begin{matrix}p+q+3\\ 2\end{matrix}) | e8e22d01b26b91db | train | human | |
(cont_{F})_{*}O_{X}=O_{Z} | 4636aead3349ae90 | train | human | |
\hat{r} | 32f9880f07c76747 | train | human | |
V(x)=\frac{r}{|x|} | 956a29f07efb900c | train | human | |
e=\frac{e^{\prime}\cdot vt^{\prime}}{\sqrt[]{7-\frac{v^{4}}{c^{4}}}} | 4347fb0f28c185b7 | train | human | |
\int_{-3}^{0}(3)dx | 7bfda0bc79c260d8 | train | human | |
(6\cdot361)^{8^{474}} | b9c375009ed73a2f | train | human | |
N_{e}=I(t)/2\beta | b870c2b1feab4494 | train | human | |
E=-\frac{1}{c}\partial A/\partial t | 87d00102463e6c07 | train | human | |
\frac{(V_{2}^{2}-V_{3}^{2})-2gh_{d}}{V_{2}^{2}} | ca4e319005dc2820 | train | human | |
5^{\sqrt{429}}\cdot7\cdot\sqrt{111}\cdot397 | 8d06028ba287b7c3 | train | human | |
\int G[f(x)]Df(x) | 9064cd5be5bad137 | train | human | |
\theta=\frac{1}{n}-\frac{1}{N} | e8fdcd8a3e29861e | train | human | |
rF=\underline{0} | 506f18d9ee243c1b | train | human | |
F=\frac{1}{2}\frac{dC}{dz}V^{2} | 8eb540ed7230efbf | train | human | |
\frac{367}{362}+324^{7} | 82cbb581216301d1 | train | human | |
B=\mu_{0}\mu_{r}\frac{NI}{l} | c078962e70512e6d | train | human | |
\tilde{C}_{2} | 879b9dc41b83fff7 | train | human | |
p(x|\theta)=f(x-\theta) | bb1178b18c4ab09f | train | human | |
\alpha=\frac{1}{\sqrt{1\cdot\frac{v^{7}}{c^{7}}}} | 5a04063248d27313 | train | human | |
\frac{1}{2}(x^{\prime})^{2}=\frac{-z}{2x} | fdf8ef47fafac63d | train | human | |
\varphi_{s}^{y} | dbf6ea4a9da1e99a | train | human | |
(\begin{matrix}L\\ d\end{matrix}) | e7c2495517244294 | train | human | |
(\frac{6}{10})^{(\frac{58}{399}\cdot395)} | 9a17c5ba2465fcc8 | train | human | |
(\begin{matrix}a&b\\ c&-a\end{matrix}) | 6316d7923e2dcc03 | train | human | |
\int n_{e}(s)ds | 75a85c7d9c75584d | train | human | |
\tilde{C}_{4} | 56910d4378ac6cde | train | human | |
\tilde{H} | 9208f704f981067a | train | human | |
A=[\begin{matrix}a&c\\ c&b\end{matrix}] | 20b71678a300e7c8 | train | human | |
|A|=n | d73ab9b0c562a3a1 | train | human | |
\overline{W} | 766db0fc1731b0e8 | train | human | |
\nu=\frac{\partial V}{\partial\sigma} | 148dcb55f9e02858 | train | human | |
\int_{a}^{x}f(t)dt=0 | 0ecc70c932fcc4f8 | train | human | |
-2\int u^{-1/2}du | 89f47a3057393847 | train | human | |
k(t)=k(0)-\frac{eE}{\hbar}t | 085252673a88dc7d | train | human | |
B_{x}=A_{x}\frac{B_{z}}{A_{z}} | 9a203894b415827d | train | human | |
\alpha=\frac{ln(1+a)}{\Delta} | ee3b895ad57caae8 | train | human | |
\frac{\Gamma^{2}(\frac{1}{4})}{4\sqrt{\pi}} | 5a3027145196dac8 | train | human | |
\hat{L}_{z} | 50adb3e0cb2cb09f | train | human | |
\frac{(394+1)}{\frac{\frac{3}{184}}{102}} | 9e675514956b558c | train | human | |
s\notin\alpha,t\notin\gamma | bdf2c6222e2deab3 | train | human | |
\frac{\Gamma\vdash A[y/x],\Delta}{\Gamma\vdash\forall xA,\Delta}(\forall R) | 695b02a5f0f460df | train | human | |
\frac{\sqrt{5}-3-6}{\frac{210\cdot489}{112}} | 2a1cb79a1dde1d96 | train | human | |
(6-228\cdot{232^{193}}^{10}) | 4dcf138494eebda8 | train | human | |
\int x^{2}d(cosx) | 31db9c41636121ab | train | human | |
2^{\aleph_{0}}=c | 55694babd05ab2e8 | train | human | |
E=-\frac{\partial A}{\partial t} | 338e57e145db02bd | train | human | |
\frac{\partial Q}{\partial t} | 0e25969dbd86fc6c | train | human | |
D_{i}(g_{t})=\frac{d}{dt}g_{t} | d1a7200d9450db90 | train | human | |
S | 46e27eb84ae2d243 | train | human | |
OB | 524dd6918708c58c | train | human | |
\int\frac{px+q}{rx^{2}+2sx+t}dx | e1781d7344e986a4 | train | human | |
R=\prod_{i=1}^{n}R_{i} | c11fd7c1e926ff4c | train | human | |
-\frac{\xi}{2}(1+2\eta n_{\eta}(\xi)) | 2051be2a0a7cfed2 | train | human |
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