Datasets:

Kitajiang

/

test2_CROHME2014

like 0

\[x_{k}xx_{k}+y_{k}yx_{k}\]

\[q_{t}=2q\]

\[\sqrt{48}\]

\[1011111011100101_{2}\]

\[\sin(x+y)= \sin x \cos y+ \cos x \sin y\]

\[R_{o}= \frac{( \frac{ \beta+1}{ \beta})r_{e}+( \beta+2+ \frac{2}{ \beta})r_{o}}{2+ \frac{2}{ \beta}}\]

\[1.379194171\]

\[d^{-7}\]

\[2p\]

\[\log_{e}x\]

\[z^{3}+z=z\]

\[X \leq 15\]

\[\frac{1}{2}t^{2}u(t)\]

\[S_{ \infty}= \lim_{n \rightarrow \infty} \frac{a(1-r^{n})}{1-r}= \frac{a}{1-r}\]

\[v_{7}+v_{3}+v_{4}-v_{8}=0\]

\[\sqrt{32}+ \sqrt{32}\]

\[6778\]

\[\pm \sqrt[x]{b}\]

\[a \div b\]

\[z^{5}+z=z\]

\[y=y \prime\]

\[\sum a_{j}x_{j}\]

\[f(z_{0})= \lim_{z \rightarrow z_{0}}f(z)\]

\[C_{t}=C+C=2C\]

\[x.y\]

\[\sum_{j=1}^{m}a_{j}e_{j}\]

\[\int_{a}^{x}f(x)dx\]

\[\pm \sqrt{x}\]

\[[[S]]\]

\[\frac{1}{25}[y^{2}-8y+16-16]\]

\[x_{1}+x_{2}+ \cdots+x_{n} \neq 0\]

\[\phi( \phi(n))\]

\[\frac{1}{ \sqrt{ \pi}} \sqrt{ \pi}=1\]

\[r \rightarrow \infty\]

\[f_{d}= \frac{A_{max}-A}{A_{max}-A_{min}}\]

\[C_{1}y_{1}+C_{2}y_{2}\]

\[\tan \gamma_{i}\]

\[m \times p\]

\[p \geq 1\]

\[u \geq 0\]

\[a \sqrt{b} \pm c \sqrt{b}=(a \pm c) \sqrt{b}\]

\[p_{1}=-p_{2}+p_{5}-p_{6}\]

\[y<b\]

\[b_{L}\]

\[\sqrt{50}\]

\[\theta \rightarrow 0\]

\[\forall \gamma \in X\]

\[\int \frac{1}{y} \frac{dy}{dx}dx= \int adx\]

\[2x(9x+1)(3x+1)^{3}\]

\[(x \times x) \times(x \times x) \times(x \times x)=x \times x \times x \times x \times x \times x\]

\[|y_{2}-y_{1}|\]

\[2^{n-1}+2^{n-2} \cdots 2+1=2^{n}-1\]

\[e^{2x}\]

\[(a-x)(d-x)-bc=x^{2}-(a+d)x+(ad-bc)\]

\[1 \sqrt{7}+2 \sqrt{7}\]

\[\frac{1}{3}(b-a)(b^{2}+ab+a^{2})\]

\[\cos 4 \theta+i \sin 4 \theta=( \cos \theta+i \sin \theta)^{4}\]

\[9.8\]

\[v_{v}=v \sin \theta\]

\[\pm \sqrt{6}\]

\[X_{fg}\]

\[[A]A\]

\[3.00000003\]

\[\sqrt[3]{x^{2}}\]

\[x^{2}+2xy+y^{2}=(x+y)^{2}\]

\[\frac{e^{a}}{e^{b}}=e^{a-b}\]

\[2m\]

\[q_{1},q_{2}, \ldots,q_{m}\]

\[\sum \pi r^{2}= \pi \sum r^{2}\]

\[\sqrt{a}+ \sqrt{b}\]

\[\frac{1}{6} \int \frac{u^{6}}{2}du+ \frac{1}{6} \int \frac{2u^{5}}{2}\]

\[a^{p}+b^{p}=c^{p}\]

\[\sqrt{7}+2 \sqrt{7}=1 \sqrt{7}+2 \sqrt{7}=3 \sqrt{7}\]

\[\frac{d_{2}}{d_{2}-2}\]

\[a_{0} \ldots a_{n}\]

\[\lim_{n \rightarrow \infty}f_{n}(x)=0\]

\[0=X^{3}+2X^{2}-X+1\]

\[Pa\]

\[\sum b_{n}\]

\[1(1)=(1)( \frac{1}{1})\]

\[C^{ \beta}\]

\[(x^{2}+2x+2)(x^{2}-2x+2)\]

\[Ns\]

\[(( \frac{1}{4}(3)^{4}-3(3)^{2})-( \frac{1}{4}(2)^{4}-3(2)^{2}))\]

\[z \rightarrow-z\]

\[\int f(x)-g(x)dx= \int f(x)dx- \int g(x)dx\]

\[\sqrt{x-16}= \sqrt{7-16}= \sqrt{-9}\]

\[A+A+B+B+C\]

\[p_{1}^{ \beta_{1}}p_{2}^{ \beta 2} \ldots p_{n}^{ \beta n}\]

\[i \neq 1\]

\[0 \leq x \leq 2 \pi\]

\[b^{ \log_{b}X}=X\]

\[a_{11}a_{22}-a_{12}a_{2_{1}}\]

\[\frac{5}{6} \neq \frac{4}{3}\]

\[\cos \theta= \frac{e^{i \theta}+e^{-i \theta}}{2}\]

\[\sin x- \sin y=2 \cos( \frac{x+y}{2}) \sin( \frac{x-y}{2})\]

\[\frac{ \sin( \pi)- \sin(0)}{ \pi-0}=0\]

\[\lim_{x \rightarrow \infty}p_{2}(x)>0\]

\[\lim_{n \rightarrow \infty}n \sin( \frac{2^{ \pi}}{n+1})- \lim_{n \rightarrow \infty}n \frac{2 \pi}{n+1}-2 \pi\]

\[\sin(3x)=-4 \sin^{3}(x)+3 \sin(x)\]