image imagewidth (px) 46 1.73k | latex_formula stringlengths 6 300 |
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\[x_{k}xx_{k}+y_{k}yx_{k}\] | |
\[q_{t}=2q\] | |
\[\sqrt{48}\] | |
\[1011111011100101_{2}\] | |
\[\sin(x+y)= \sin x \cos y+ \cos x \sin y\] | |
\[R_{o}= \frac{( \frac{ \beta+1}{ \beta})r_{e}+( \beta+2+ \frac{2}{ \beta})r_{o}}{2+ \frac{2}{ \beta}}\] | |
\[1.379194171\] | |
\[d^{-7}\] | |
\[2p\] | |
\[\log_{e}x\] | |
\[z^{3}+z=z\] | |
\[X \leq 15\] | |
\[\frac{1}{2}t^{2}u(t)\] | |
\[S_{ \infty}= \lim_{n \rightarrow \infty} \frac{a(1-r^{n})}{1-r}= \frac{a}{1-r}\] | |
\[v_{7}+v_{3}+v_{4}-v_{8}=0\] | |
\[\sqrt{32}+ \sqrt{32}\] | |
\[6778\] | |
\[\pm \sqrt[x]{b}\] | |
\[a \div b\] | |
\[z^{5}+z=z\] | |
\[y=y \prime\] | |
\[\sum a_{j}x_{j}\] | |
\[f(z_{0})= \lim_{z \rightarrow z_{0}}f(z)\] | |
\[C_{t}=C+C=2C\] | |
\[x.y\] | |
\[\sum_{j=1}^{m}a_{j}e_{j}\] | |
\[\int_{a}^{x}f(x)dx\] | |
\[\pm \sqrt{x}\] | |
\[[[S]]\] | |
\[\frac{1}{25}[y^{2}-8y+16-16]\] | |
\[x_{1}+x_{2}+ \cdots+x_{n} \neq 0\] | |
\[\phi( \phi(n))\] | |
\[\frac{1}{ \sqrt{ \pi}} \sqrt{ \pi}=1\] | |
\[r \rightarrow \infty\] | |
\[f_{d}= \frac{A_{max}-A}{A_{max}-A_{min}}\] | |
\[C_{1}y_{1}+C_{2}y_{2}\] | |
\[\tan \gamma_{i}\] | |
\[m \times p\] | |
\[p \geq 1\] | |
\[u \geq 0\] | |
\[a \sqrt{b} \pm c \sqrt{b}=(a \pm c) \sqrt{b}\] | |
\[p_{1}=-p_{2}+p_{5}-p_{6}\] | |
\[y<b\] | |
\[b_{L}\] | |
\[\sqrt{50}\] | |
\[\theta \rightarrow 0\] | |
\[\forall \gamma \in X\] | |
\[\int \frac{1}{y} \frac{dy}{dx}dx= \int adx\] | |
\[2x(9x+1)(3x+1)^{3}\] | |
\[(x \times x) \times(x \times x) \times(x \times x)=x \times x \times x \times x \times x \times x\] | |
\[|y_{2}-y_{1}|\] | |
\[2^{n-1}+2^{n-2} \cdots 2+1=2^{n}-1\] | |
\[e^{2x}\] | |
\[(a-x)(d-x)-bc=x^{2}-(a+d)x+(ad-bc)\] | |
\[1 \sqrt{7}+2 \sqrt{7}\] | |
\[\frac{1}{3}(b-a)(b^{2}+ab+a^{2})\] | |
\[\cos 4 \theta+i \sin 4 \theta=( \cos \theta+i \sin \theta)^{4}\] | |
\[9.8\] | |
\[v_{v}=v \sin \theta\] | |
\[\pm \sqrt{6}\] | |
\[X_{fg}\] | |
\[[A]A\] | |
\[3.00000003\] | |
\[\sqrt[3]{x^{2}}\] | |
\[x^{2}+2xy+y^{2}=(x+y)^{2}\] | |
\[\frac{e^{a}}{e^{b}}=e^{a-b}\] | |
\[2m\] | |
\[q_{1},q_{2}, \ldots,q_{m}\] | |
\[\sum \pi r^{2}= \pi \sum r^{2}\] | |
\[\sqrt{a}+ \sqrt{b}\] | |
\[\frac{1}{6} \int \frac{u^{6}}{2}du+ \frac{1}{6} \int \frac{2u^{5}}{2}\] | |
\[a^{p}+b^{p}=c^{p}\] | |
\[\sqrt{7}+2 \sqrt{7}=1 \sqrt{7}+2 \sqrt{7}=3 \sqrt{7}\] | |
\[\frac{d_{2}}{d_{2}-2}\] | |
\[a_{0} \ldots a_{n}\] | |
\[\lim_{n \rightarrow \infty}f_{n}(x)=0\] | |
\[0=X^{3}+2X^{2}-X+1\] | |
\[Pa\] | |
\[\sum b_{n}\] | |
\[1(1)=(1)( \frac{1}{1})\] | |
\[C^{ \beta}\] | |
\[(x^{2}+2x+2)(x^{2}-2x+2)\] | |
\[Ns\] | |
\[(( \frac{1}{4}(3)^{4}-3(3)^{2})-( \frac{1}{4}(2)^{4}-3(2)^{2}))\] | |
\[z \rightarrow-z\] | |
\[\int f(x)-g(x)dx= \int f(x)dx- \int g(x)dx\] | |
\[\sqrt{x-16}= \sqrt{7-16}= \sqrt{-9}\] | |
\[A+A+B+B+C\] | |
\[p_{1}^{ \beta_{1}}p_{2}^{ \beta 2} \ldots p_{n}^{ \beta n}\] | |
\[i \neq 1\] | |
\[0 \leq x \leq 2 \pi\] | |
\[b^{ \log_{b}X}=X\] | |
\[a_{11}a_{22}-a_{12}a_{2_{1}}\] | |
\[\frac{5}{6} \neq \frac{4}{3}\] | |
\[\cos \theta= \frac{e^{i \theta}+e^{-i \theta}}{2}\] | |
\[\sin x- \sin y=2 \cos( \frac{x+y}{2}) \sin( \frac{x-y}{2})\] | |
\[\frac{ \sin( \pi)- \sin(0)}{ \pi-0}=0\] | |
\[\lim_{x \rightarrow \infty}p_{2}(x)>0\] | |
\[\lim_{n \rightarrow \infty}n \sin( \frac{2^{ \pi}}{n+1})- \lim_{n \rightarrow \infty}n \frac{2 \pi}{n+1}-2 \pi\] | |
\[\sin(3x)=-4 \sin^{3}(x)+3 \sin(x)\] |
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