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F_{1}-F=-\frac{3\pi a K}{4} \chi(1)=(4\pi a)^{\frac{1}{2}}K_{\rm I}
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a^3+b^3-1+3ab\geq0
8x^2-24x+18
a^3+b^3+c^3-3abc=(a+b+c)(a^2+b^2+c^2-bc-ca-ab)