image imagewidth (px) 4 512 | latex stringlengths 1 188 | sample_id stringlengths 16 16 | split_tag stringclasses 1 value | data_type stringclasses 1 value |
|---|---|---|---|---|
[\begin{matrix}1&1\\ 0&1\end{matrix}] | 41589c6990b938f9 | train | human | |
\frac{n+\sqrt{n^{2}+4}}{2} | 80275c394d427d98 | train | human | |
A=\frac{1}{2}absinC | 00d1f9b787cc3b54 | train | human | |
i=\frac{c}{\sqrt{1\cdot\frac{b\cdot P}{3P_{m}}}} | 34bfaef2fab54e9b | train | human | |
1/\sqrt{1+\epsilon^{2}} | 44a963e349f84858 | train | human | |
\frac{T^{*}}{T_{o}}=\frac{2}{k+1} | e3c3073aa30cc621 | train | human | |
\tilde{F}_{4} | d5fed23fdb5905f6 | train | human | |
(\begin{matrix}n\\ 5\end{matrix}) | 8d92d39b6027ca58 | train | human | |
u=\frac{mx}{\sqrt{1\cdot\frac{x^{7}}{c^{7}}}} | aa8b81a6de9f49d3 | train | human | |
(\frac{\frac{45}{4}}{101})^{320^{125}} | 299818f90f17dce7 | train | human | |
I_{9}^{w} | 63cc92e79bca9749 | train | human | |
\sqrt{Z} | 1c6a047417291828 | train | human | |
v_{2}=(\begin{matrix}a\\ 1\end{matrix}) | ba4fbdff1bd4cb76 | train | human | |
\frac{d\theta}{dt}=\omega=2\pi f | dc640bb16dad1ba9 | train | human | |
\int_{-a}^{a}f(x)dx=0 | df9af5377e463987 | train | human | |
\frac{d}{dx} | 9e2d624ceb719816 | train | human | |
(\begin{matrix}c_{i}\\ i\end{matrix}) | 99155526a986b9a7 | train | human | |
3\notin\{\{3,5\}\} | 9566ecacb9d85dee | train | human | |
a=b=\sqrt{2m} | fa9e845006d4556b | train | human | |
|z|=\sqrt{a^{2}+b^{2}} | f7fd8bebcafbd635 | train | human | |
\sqrt{1.44} | 5cac2c4b13e27ad6 | train | human | |
g=s_{0}\oplus z(g) | 4a7949f5ac6306b7 | train | human | |
F(\underline{x},-) | 63ec4ed2462835a5 | train | human | |
\frac{1}{\sqrt{V}}\frac{dV}{dt}\le-\mu | a10c92d5c8cce376 | train | human | |
A(u,\varphi)=F(\varphi) | b5b27b3d93dfa279 | train | human | |
B(O_{[g]}\oplus O_{[h]}) | 9ffa31517ba4c77d | train | human | |
>1 | 22c06ffed6e5199e | train | human | |
\hat{y}=-37+5.1x | d60e6fa1f697bbc2 | train | human | |
(\begin{matrix}d\\ k\end{matrix}) | 81c27027649fc74e | train | human | |
\hat{V}_{s} | ecd6c538aa0859ce | train | human | |
\lambda_{1}^{xy},...,\lambda_{2n}^{xy}\in C | f24d8b6df4fbbf89 | train | human | |
A=l^{2}+l\sqrt{l^{2}+(2h)^{2}} | 2ed898e4cae68046 | train | human | |
2^{k}\ge\frac{4n}{logn}>2^{k-1} | 998b8c591f50db0d | train | human | |
\frac{1}{x}dx+xdx=\frac{1}{y}dy | 10c33d79a6208ff9 | train | human | |
\sqrt{x} | 85941790a105f4b3 | train | human | |
\tilde{H_{i}}=\varphi(H_{i}) | 66daf2caf30b801b | train | human | |
\sigma(\tilde{\nu}) | cf2d6e64e94d052d | train | human | |
[23,12,7]_{2} | c8929745c7932b34 | train | human | |
E=\frac{mg^{2}}{\sqrt{5\cdot\frac{w^{2}}{g^{2}}}} | f79199cbcc490e60 | train | human | |
\frac{dA}{dt} | 9c5039783c37d711 | train | human | |
\overline{Y}_{x} | 68d8c728a9886320 | train | human | |
gy_{e}=\frac{gl_{e}v_{e}}{\sqrt{9-\frac{v_{e}^{7}}{c^{7}}}} | 6901ae141151210a | train | human | |
\frac{l}{2v}\sqrt{\frac{c-v}{c+v}} | 5e0832cd75d245ce | train | human | |
\hat{c}_{p} | ee5e82ab9362a4a2 | train | human | |
f^{*}t_{ij}=t_{ij}\circ f | 305de2de9d4b7c8f | train | human | |
[\begin{matrix}v_{1}&\cdot\cdot\cdot&v_{k}\end{matrix}] | a4d1f488dcae5443 | train | human | |
\frac{d}{dx}\delta(x-a) | 89e4e311f204fc28 | train | human | |
C_{n}=\int_{0}^{4}x^{n}\rho(x)dx | 94e7eb90d03c8661 | train | human | |
\int ds\sqrt{v} | dfa0d6d0dce4c7d9 | train | human | |
[CF_{i},child_{i}] | 7f2fd9a0d555f533 | train | human | |
f(g(x))=0 | b3eaeac556f28e84 | train | human | |
r=acot(x/y) | 0f4005a517bcce08 | train | human | |
\frac{1}{n}\sum_{i=1}^{n}log(p_{i}) | 808d400548c2be4b | train | human | |
z^{z^{z^{\cdot^{\cdot^{\cdot}}}}} | a977226e121fd43c | train | human | |
|(a,b)|=|R|=|R^{n}| | aeece2fd8bfac8a1 | train | human | |
\frac{p_{1}}{q_{1}} | 54243fdb0c0bb905 | train | human | |
\sum_{i=1}^{m}\frac{U_{i}T}{P_{i}}\le T | 398c3b881e288b8f | train | human | |
\lambda f.letx=fxinx | 3c9cb97c582abfdf | train | human | |
\prod_{i=1}^{n}f(x_{i}) | 1659dbf9c6dc7b0a | train | human | |
y_{c}=\sqrt[3]{\frac{q^{2}}{g}} | eb724da40b0a8b04 | train | human | |
e[n]=x[n]-\hat{x}[n] | 6851d1c4435585dc | train | human | |
(G,e) | 050039cd89cc9b9b | train | human | |
P_{0}=\frac{GM}{R^{2}}\frac{2\tau}{3k} | 9535d7aedd17e3fa | train | human | |
\hat{n}_{b} | f2b3e35449e9333e | train | human | |
(2e^{0i})^{0.5}=\sqrt{2} | a09581197dd4da05 | train | human | |
t_{7}^{\prime}=\frac{t_{7}-\frac{m}{k^{2}}d_{7}}{\sqrt{7-\frac{m^{2}}{k^{2}}}} | 76ba22e25c4db14e | train | human | |
t=\frac{w^{2}+w}{2} | 86aef973440fbff6 | train | human | |
\int K(x-y;T)dy=1 | e044250538d2f8f7 | train | human | |
\frac{\partial V}{\partial S} | cdb8e7c6e8ddaba3 | train | human | |
-\nabla^{2}u=g(u) | 87e2b1eadf12b60e | train | human | |
3^{20}\equiv1mod100 | d2c1d4c56fe99c40 | train | human | |
\frac{\frac{\sqrt{8}\cdot\sqrt{8}}{9}}{406\cdot249} | 754fd6f20ac8d7a5 | train | human | |
a^{\prime}=\frac{dv^{\prime}}{dt}=a | 10e1feb62638f810 | train | human | |
i_{1}^{\prime}=\frac{i_{1}\cdot vt_{1}}{\sqrt{1\cdot\frac{v^{8}}{n^{8}}}} | 1858c57288ebc99a | train | human | |
m_{r}=exp(r^{2}/2) | 9591bfbf22270c18 | train | human | |
\tilde{E}_{7} | 60851c58d85ed009 | train | human | |
x+1\notin J | 005b556b1c8a48b5 | train | human | |
\mathbb{U} | 4bbe7362b9609f7d | train | human | |
R_{0}=\sqrt{x^{2}+y^{2}+z^{2}} | 7ca16f9648a4be2d | train | human | |
\rho_{A_{5}...A_{s}}^{T_{A_{t_{5}}...A_{t_{l}}}} | ca87bf6a3d4cb5de | train | human | |
\tilde{v}_{ij} | e6d02354408fa0da | train | human | |
V_{st}=V_{s}\sqrt{n} | 04e53b10956bf93b | train | human | |
NTU=\frac{UA}{C_{min}} | 8be81549f8311d03 | train | human | |
\int_{a}^{b}f(x)dx | 52b3a651c421dcd7 | train | human | |
(\begin{matrix}7\\ 5\end{matrix}) | 24a774d72ff8ae07 | train | human | |
\frac{1}{\sqrt{5}q^{2}} | 8436d8e316a054c9 | train | human | |
\frac{d^{2}}{dx^{n}} | 1dc5d78792b12ed0 | train | human | |
\nabla\cdot E(r)=\frac{\rho(r)}{\epsilon_{0}} | d90bda96e046c0f8 | train | human | |
(6-228\cdot{232^{193}}^{10}) | 98c5b0c94cd4b2ce | train | human | |
\tilde{I}=I | 08fce4a7e8655d58 | train | human | |
\frac{e^{\cdot\frac{(w\cdot p)^{5}}{4}}}{\sqrt{4\pi}} | 07eb4fc16be295d2 | train | human | |
\frac{dS}{dt}=\frac{\dot{Q}}{T}+\dot{S}_{i} | bacec93bd2c708ca | train | human | |
f=\frac{v}{\pi}\sqrt{\frac{3d}{8(0.85)D^{3}}} | 51694b4dd8a13366 | train | human | |
dS=\frac{dQ}{T} | 5e3a64195a9b1213 | train | human | |
\notin C | b0b48144f29fa40c | train | human | |
W_{1-2}=\int PdV | 3f6d5e0ba18cc9a8 | train | human | |
\hat{r}_{j} | 4cdad20062cfc59e | train | human | |
\tilde{BC}_{2} | 612a045bee090a36 | train | human | |
\tilde{F}_{4} | fff80fdf6b3b6ed1 | train | human | |
h=\frac{38MPa}{16kNm^{-3}} | a1e39aa0388c9b7b | train | human |
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