image imagewidth (px) 56 1.4k | latex_formula stringlengths 7 153 |
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\[\frac{9}{4}(3x^{3}-1)x^{-1}\] | |
\[m_{1} \leq m_{2} \leq \ldots m_{n}\] | |
\[\sqrt{ \alpha+c}\] | |
\[[a(a+b)cdc(a+b)a]\] | |
\[\sum(x^{i})^{2}=(x^{0})^{2}\] | |
\[\frac{15}{4(k+4)}+ \frac{3}{4(k+2)}\] | |
\[\sum_{i}Y_{i}\] | |
\[h_{yy}\] | |
\[\frac{f}{2 \sin \theta}\] | |
\[B \times B\] | |
\[- \frac{d^{2}}{dx^{2}}+x \frac{d}{dx}+1\] | |
\[C_{xx}=C_{xy}C_{yx}\] | |
\[1- \frac{1}{8}x^{2}y^{2}+ \frac{1}{192}x^{4}y^{4}- \frac{1}{9216}x^{6}y^{6}+o(y^{8})\] | |
\[12x_{5}-x_{6}+8x_{8}=0\] | |
\[\tan \theta<0\] | |
\[2 \cos \alpha\] | |
\[199 \times 199\] | |
\[f_{x}(y)=f(y+x)\] | |
\[\frac{1}{ \sqrt{3}}\] | |
\[v^{2}=v_{x}^{2}+v_{y}^{2}\] | |
\[- \frac{(2ga)^{4}}{16} \times 2 \times 4=- \frac{(2ga)^{4}}{2}\] | |
\[nmax= \infty\] | |
\[\frac{1}{n^{2}}[ \cos( \theta(p)- \theta(pn))-1]\] | |
\[\frac{1}{2}n(n+1)-n= \frac{1}{2}n(n-1)\] | |
\[F(y(r))e^{-y(r)}\] | |
\[(n+4r) \times(n+4r)\] | |
\[y=(1- \sqrt{x})/(1+ \sqrt{x})\] | |
\[y_{i}-1<y<y_{i}\] | |
\[\{ \infty \}\] | |
\[z= \frac{x}{1+x}\] | |
\[y \geq y_{1}\] | |
\[s(x)= \sin( \pi x)\] | |
\[(x+y)^{2}+2(xy-1)^{2}=0\] | |
\[(- \log x,- \log y)\] | |
\[\lim_{k \rightarrow \infty}f(k)=1\] | |
\[( \frac{1}{2})^{8} \frac{1}{8!}\] | |
\[\int(B+F)\] | |
\[\sin^{2}2q\] | |
\[x^{3}+y^{3}+z^{3}+axyz\] | |
\[y= \cos^{2}z\] | |
\[s_{i}= \sin \theta_{i}\] | |
\[\lim_{p \rightarrow \infty}f_{p}=0\] | |
\[f(s)= \frac{1}{1+e^{ \frac{-1}{s-1}}e^{ \frac{1}{t-s}}}\] | |
\[\frac{1}{12}(n+2)^{2}(n+1)(n+3)\] | |
\[X_{7}=x_{7} \sqrt{x_{4}^{4}+x_{5}^{4}}\] | |
\[C_{xy}^{(q)}C_{yx}^{(q)}\] | |
\[\forall x \in M\] |
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