image imagewidth (px) 4 512 | latex stringlengths 1 188 | sample_id stringlengths 16 16 | split_tag stringclasses 1 value | data_type stringclasses 1 value |
|---|---|---|---|---|
h^{n}:A^{n}\rightarrow B^{n-1} | 912fc5c7e59cdcb8 | train | human | |
*\frac{\sqrt{5}+\sqrt{7}}{\sqrt{5}+\sqrt{7}} | a4454d41d031540c | train | human | |
z^{z^{\cdot^{\cdot^{z^{z}}}}} | 124404d33ee33613 | train | human | |
\int_{E}w(x)dx | f577bd3e0e22d201 | train | human | |
\frac{d\epsilon_{e}}{dt}=E^{-1}\frac{d\sigma}{dt} | e47616d4cb4ed567 | train | human | |
k | 2b1e769ff1a8c167 | train | human | |
\hat{f} | 8b27d09328d7a4cd | train | human | |
[\begin{matrix}A&B\\ C&D\end{matrix}] | 2f5424cd67be1bb9 | train | human | |
t_{1}s_{2}\overline{t_{1}s_{2}}^{-1}=(123) | da17208ab19fdbd5 | train | human | |
w_{6}^{w_{7}^{\cdot^{\cdot^{w_{n}}}}} | c99374da5bf62d82 | train | human | |
a_{0}=\frac{4\pi\epsilon_{0}\hbar^{2}}{me^{2}} | 948bd232b8c899fe | train | human | |
P(z)=z^{3}+qz+r | 6a4474a0220dcdc7 | train | human | |
L=\mathbb{Q}(\sqrt{d}) | cd48aa762c61fd9b | train | human | |
\Psi_{\theta}^{g} | 93a38ad1df0a72fe | train | human | |
H_{(1)}...H_{(R)} | 72852589b4e1faaa | train | human | |
l_{1}/l_{2} | eadcff31547d2136 | train | human | |
j:X-Z\hookrightarrow X | 5521fe2b92b68640 | train | human | |
2^{\sqrt{2}} | a60b96e985890a9e | train | human | |
\frac{\partial f(M,T)}{\partial M}>0 | 2eeba7fc35ed9305 | train | human | |
y=\frac{Q}{w^{\int_{r_{1}}^{x}P(r)dr}} | 1813adbd356181f5 | train | human | |
\dot{x},\dot{y} | 29ebb417d39b1640 | train | human | |
\epsilon_{2}=\lambda^{\lambda^{\lambda^{\cdot^{\cdot^{\cdot}}}}} | 0fd6305e8f21dfaf | train | human | |
G^{ab}=-\Lambda g^{ab} | 6895c4bbf78bd77c | train | human | |
sup\{f(x)|x\ge t_{0}\} | 531162ca55eda3a9 | train | human | |
\overline{\vec{\xi}^{2}}\approx\lambda_{c}^{2} | be6c6fe553549155 | train | human | |
\int dx=x+C | 3f50c33a2eb2c26f | train | human | |
\frac{\sqrt{239}}{4}\cdot\frac{264^{6}}{\sqrt{302}} | 34132c0dc58e3306 | train | human | |
ax\equiv1(mody) | 4fb025aeb6edea49 | train | human | |
\frac{1}{\pi}\int_{0}^{\infty}\frac{exp(-xt)}{\sqrt{x}}dx | 1a05e3f2ab8378d9 | train | human | |
\frac{dS}{dz}=0 | 5938f7375764d7b1 | train | human | |
\sqrt[\infty]{2}_{s}=2^{1/2}=\sqrt{2} | 453a6a0a88e628ed | train | human | |
\overline{B}=B/hc | 950d23a1d1bd009f | train | human | |
R(r,s)\le(\begin{matrix}r+s-2\\ r-1\end{matrix}) | f3b9d53c451e2d73 | train | human | |
\gamma_{12}(\tau)=\frac{\Gamma_{12}(\tau)}{\sqrt{I_{1}}\sqrt{I_{2}}} | 03733c72e59fd54d | train | human | |
d^{3}\Pi_{u}\Leftrightarrow a^{3}\Pi_{g} | 630bfce98f4d7c1b | train | human | |
a_{4}^{a_{3}^{-^{-^{a_{n}}}}} | bae12716936b749c | train | human | |
\frac{dF}{dx}+2xF=1 | 3e83dddb3ee073dc | train | human | |
D=-T_{1}/(2T_{2}) | 090bc9921392115b | train | human | |
\sqrt{17^{2}+42^{2}}\approx45 | 44528984cb391713 | train | human | |
\frac{\Delta p}{L}=f_{D}\cdot\frac{\rho}{2}\cdot\frac{V^{2}}{D} | 1cc68a8637e877e3 | train | human | |
\int_{a}^{b}... | 8b976864effa971d | train | human | |
S_{n}:=\sum_{k=0}^{n}T^{k} | 2281585998ed945f | train | human | |
2r-H=\frac{W^{2}}{4H} | da3330d6e2912bb0 | train | human | |
\frac{dI}{dt} | a1b1338086587a1a | train | human | |
(\frac{8}{10})^{7}-2^{6} | 63d996a836082a58 | train | human | |
(\begin{matrix}0&0\\ 0&e\end{matrix}) | d56c7e956b9d987e | train | human | |
\tilde{q} | d7d427347763e448 | train | human | |
\|e\|^{2} | 6f8384e0009d6e02 | train | human | |
a^{-\frac{1}{3}(\frac{log\frac{x}{x_{8}}}{log\Xi})^{3}} | e8ee8639bff10ce9 | train | human | |
\prod_{i=1}^{n}R_{i} | b69549a42099bd6a | train | human | |
\tilde{H}/\tilde{H}^{\prime}\simeq H/H^{\prime} | f4093b2bd049434f | train | human | |
\hat{R}_{P} | 085c0b2e1829181f | train | human | |
\frac{1}{1-\alpha\beta\delta^{\prime}} | 4ea1517d1f9493d7 | train | human | |
A=4A_{0}=\sqrt{3}a^{2} | 79568dff2a31b004 | train | human | |
\int_{0}^{t}Z_{s}ds | e700b05bf7ff5a67 | train | human | |
h_{9}^{h_{2}^{h_{3}^{-^{-^{-}}}}} | 5dd40db5296ea7a3 | train | human | |
2e^{-\frac{m\epsilon^{2}}{8}} | da8e38fe7ab08d6d | train | human | |
(0:0:1)\in RP^{2} | e423ae94a2617d48 | train | human | |
\frac{T^{2}}{C_{V}}(\frac{\partial P}{\partial T})_{V} | f3083b102d741553 | train | human | |
\hat{s}=S(S+N)^{-1}d | f2ac190752c1ca82 | train | human | |
\theta=arccos(\frac{1}{3}) | ab4e65cb1123f27c | train | human | |
cos\alpha=\frac{dx}{dq^{1}}=\frac{|e_{1}|}{|b_{1}|} | ad54418cb76f5b44 | train | human | |
cf(\prod A/D)<\lambda | 0afe2025c02cdec2 | train | human | |
\theta=\theta_{0}+h | c7fc7ce08d5d839d | train | human | |
\int_{1}^{3}(27-x^{3})dx | 4bac3f1b12b47d3b | train | human | |
Z_{6}=\sqrt{\frac{L_{\frac{7}{4}}}{C_{\frac{7}{4}}}} | 83970697a1db59e9 | train | human | |
f((\begin{matrix}a&b\\ c&d\end{matrix})) | 5a56c560c0c1f3da | train | human | |
\sqrt{\Omega} | 6c277b3369a504ad | train | human | |
-ih\frac{\partial}{\partial x} | 23dcd152d06f7c6d | train | human | |
\hat{U} | 075738e9e15d6723 | train | human | |
B=(\begin{matrix}1&1\\ 3&1\\ 0&2\end{matrix}) | 690a4d0993e7a7b1 | train | human | |
(1-\frac{1}{10^{6}})^{10^{6}} | 01e04131e540f759 | train | human | |
\frac{3}{2}a^{1/2} | 3c8c8a63299da17c | train | human | |
((\frac{5}{17})^{1})^{(270^{2}-8)} | ab6d7fc00000b9a6 | train | human | |
a_{1},a_{2}\in\mathbb{N} | 65c9efb5ae26c809 | train | human | |
\int\frac{dx}{lnx} | 64d29b1ad7056358 | train | human | |
\frac{m}{\sqrt{5-\frac{y^{8}}{c^{8}}}} | 662f4fbe62993549 | train | human | |
E_{spin}=\frac{1}{2}I\Omega_{H}^{2} | c3fca1ffb1d3b084 | train | human | |
(C^{n},0)\rightarrow(C,0) | 32beb68e3053dcd9 | train | human | |
(\begin{matrix}1&-1\\ 1&0\end{matrix}) | 9f8298d9285403a6 | train | human | |
AX_{1}=\lambda X_{1} | 2ec4a777b01acaaf | train | human | |
(\begin{matrix}3\\ 3\end{matrix})(\begin{matrix}4\\ 2\end{matrix})=6 | a5640a57eb6a2089 | train | human | |
\frac{\Delta^{2}}{m}=\frac{4}{3H} | 04794aa4d71dd3e6 | train | human | |
x=\sqrt[3]{4} | bd0059030870f193 | train | human | |
=\frac{d}{dt}(\frac{\dot{y}}{\dot{x}})\frac{1}{\dot{x}} | d0c7edcfd1eabae0 | train | human | |
{(\nu^{\phi})}^{\alpha} | 3207ad109c314d03 | train | human | |
\frac{\frac{(5/161)}{101}}{\frac{168}{1}} | 0c3c09b1b36d83a4 | train | human | |
(\frac{374}{2}/406)^{7^{2}\cdot2} | 8953d2edf12cd8b2 | train | human | |
Q=Q_{xy}^{-1}Q_{xz}^{-1}Q_{yz}^{-1} | 26596b674b923222 | train | human | |
\sqrt{1+\frac{b^{2}}{a^{2}}} | d9f6a32c6e25229f | train | human | |
\frac{d^{2}P}{dt^{2}} | 31073abfd67fc029 | train | human | |
W=\int P(V)dV | 215c7150c74eb5f7 | train | human | |
a_{s,j}(\omega) | 78c69885f6a6c25d | train | human | |
\frac{\frac{(8\cdot\sqrt{303})}{24}}{6^{374}\cdot7} | bacfaee8ee1e412e | train | human | |
{1^{8}}^{{7^{4}}^{7}} | 96bd51fec784ff10 | train | human | |
\tilde{P} | 0cee5661ae2ebbad | train | human | |
x_{7}^{\prime}=\frac{x_{7}+vt_{7}}{\sqrt{7+\frac{v^{3}}{o^{3}}}} | 70c2d1b5f8dd4a4d | train | human | |
=\frac{G_{a}\lambda^{2}}{4\pi Z_{\circ}}E_{b}^{2} | 024f1fec08cd3a2a | train | human | |
Ri=\frac{Ei}{Ee} | 703a3094aa7c838e | train | human | |
\sum_{k=0}^{\infty}\frac{1}{2^{k}}=2 | 0f7a79a0115f3644 | train | human |
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