基本解释：k有理点
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We prove that when the homotopy map is a regular map,the K-K-T point obtained from this homotopy method must be a local optimal solution by choosing proper homotopy equation.证明了同伦映射为正则映射的条件下,选取合适的同伦方程,用此同伦方法得到的K-K-T点一定是问题局部最优解。
The density of rational points on the circle;关于圆周上有理点的稠密性
Methods Using some results of the computation of rational points of elliptic curves.方法利用椭圆曲线上的有理点的计算结果。
Let X be a smooth and absolutely irreducible projective curve,x(F_q)the set ofrational points of X over the field F_q,and g(X)the genus of X.设Ｘ是有限域上光滑、绝对不可约的射影曲线，表示其有理点集，ｇ（Ｘ）表示Ｘ的亏格，令证明了本文利用构造无Ｈｉｌｂｅｒｔ类域塔方法证明
