image imagewidth (px) 1.16k 1.16k | latex_formula stringlengths 6 143 |
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\[\sqrt{-g}= \sqrt{h}\] | |
\[56(1986)1319\] | |
\[n= \frac{n_2}{n_1-1}= \frac{n_3}{n_1-1}\] | |
\[d^2x \sqrt{h(x)}\] | |
\[4n= \frac{2n \times 2n}{n}\] | |
\[\frac{| \sin \Delta|}{ \sin \Delta}\] | |
\[z= \frac{1}{ \sqrt{2}}(x+iy)\] | |
\[\theta=2 \alpha_1+4 \alpha_2+6 \alpha_3+5 \alpha 4+4_ \alpha 6+2_ \alpha 7+3 \alpha_5\] | |
\[x \rightarrow-1\] | |
\[\sqrt{1+z^2}\] | |
\[z=x-iy\] | |
\[\pm i \sqrt{2n}\] | |
\[A^{-1}_{ \frac{3}{5}}A^{1}_{- \frac{3}{5}}\] | |
\[m \geq \sqrt{ \frac{3}{2}}H\] | |
\[\cos(kX)\] | |
\[\frac{( k-i_1+1)(k-i_1+2)}{2}\] | |
\[\int A_z\] | |
\[129106\] | |
\[\frac{30}{3072}\] | |
\[b \geq \frac{1}{a-1}\] | |
\[\cosk_nx^5\] | |
\[3 \times 4+r-4\] | |
\[v \leq x\] | |
\[w=x^2+ix^3\] | |
\[A^{-1}_{+ \frac{4}{5}}\] | |
\[\lim_{r \rightarrow 0}f(r)= \sqrt{r}\] | |
\[(- \frac{1}{4},- \frac{3}{4})\] | |
\[p_{0}=(2n+1) \pi T= \frac{(2n+1) \pi}{ \beta}\] | |
\[0<a+ \frac{1}{2}< \frac{1}{2}\] | |
\[n!L_n^{(m-n)}(z)=(-z)^{n-m}m!L_m^{(n-m)}(z)\] | |
\[- \pi \leqy \leq \pi\] | |
\[- \frac{ \sin \alpha( \infty)}{2 \pi}\] | |
\[v(z)=z^{n+1}-(-1)^nz^{-n+1}\] | |
\[4+n\] | |
\[(a+b)\] | |
\[X=x_0(x-x_0)\] | |
\[\phi_0=dx^{136}+dx^{235}+dx^{145}-dx^{246}\] | |
\[\frac{1}{ \sqrt 3}\] | |
\[\int^{ \infty}_{0} duV(u)u^{ \frac{d}{2}-2} \neq 0\] | |
\[(x^6,x^7,x^8,x^9)\] | |
\[b \rightarrow 1\] | |
\[-0.998\] | |
\[V(x)=v_px^p+v_{p-1}x^{p-1}+ \ldots\] | |
\[j=|q|- \frac{1}{2}+p>|q|- \frac{1}{2}\] | |
\[(x-1)^{2}-32x \gt0\] | |
\[x^3=- \frac{1}{48} \frac{v^6}{ \alpha_1}\] | |
\[any\] | |
\[x^{ \prime}=(ax+b)(cx+d)^{-1}\] | |
\[\cos2p \thetak\] | |
\[z=x^2+ix^3\] | |
\[( \frac{p2^{-p}}{1+p}+1)\] | |
\[(x^1-x^2)\] | |
\[c \times(a-b)\] | |
\[\frac{1}{n!}\] | |
\[m^2n^2+4mx_1^2x^3=-4y_1^2y_3\] | |
\[x \pm iy\] | |
\[(1+1)+(5 \times0)\] | |
\[\frac{43}{9}\] | |
\[y \rightarrow ky\] | |
\[c= \frac{1}{2} \left(1- \frac{1}{2N} \right)\] | |
\[(x^3+ix^6)\] | |
\[3x_B=12x_A=4x_C\] | |
\[- \frac{(3+z^2)^2}{16}\] | |
\[b= \frac{1}{ \sqrt{2}}(A-B)\] | |
\[\int d^2x\] | |
\[(2k+1) \times(2k+1)\] | |
\[f= \sum_{n=1}^{ \infty}a_n(f)q^n\] | |
\[1^3+1^3+(-2)^3=-6\] | |
\[s_{b}s_{ab}+s_{ab}s_{b}=0\] | |
\[f=z^1( \cos \theta z^2+ \sin \theta z^1)\] | |
\[u(x-y)\] | |
\[\sum_{k=1}^{ \infty}(-1)^k \frac{1}{w^{2k+1}}=- \frac1w \frac1{1+w^2}\] | |
\[h_{xx}=-h_{yy} \neq0\] | |
\[(c-3) \times c\] | |
\[1 \times(6-3-1)\] | |
\[n \geq 9\] | |
\[f=f_a+f_b+f_c\] | |
\[x= \frac{2 \pi}{ \sqrt{2}}(n+ \frac{1}{2})\] | |
\[\beta=2- \sqrt3\] | |
\[[t^a,t^b]=if^{abc}t^c\] | |
\[dx_{n}^2-dx_{n+1}^2\] | |
\[2 \times7\] | |
\[z=x_{21}x_{13}^{-1}x_{34}x_{42}^{-1}\] | |
\[x^1 \ldots x^5\] | |
\[x^{-n}\] | |
\[(a-b)-(k-b-c) \times(a-b)=(a-k+c) \times(a-b)\] | |
\[y=f(x)\] | |
\[\frac{1}{2}(r-1)(r+1)(r+2)\] | |
\[cab=(abc)^{c}\] | |
\[e^{-2q^{ \prime}(1-y)}<e^{-2 \sqrt{v}(1-y)}\] | |
\[(y_{12}^2)^{-p}(y_{13}^2)^{p}\] | |
\[- \frac{1}{3}\] | |
\[[3,- \frac{27}{4}, \frac{171}{14},- \frac{729}{40}, \frac{729}{70}]\] | |
\[y(x)=a_i(x)\] | |
\[r^2= \sum_iy^i y^i\] | |
\[(n-1)+4=n+3\] | |
\[n2^{n-1}+1-2^n\] | |
\[\beta=y-x\] | |
\[\alpha_3+2 \alpha_4+ \alpha_5+2 \alpha_6+ \alpha_7\] | |
\[V(x)=v_px^p+v_{p-1}x^{p-1}+ \ldots\] |
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