7756

说明：   ★问题描述: 给出平面上的N 个二维点，求出距离最小的2 个点对。本题中距离定义为他们的直 线距离。例如(0,0) (3,4)的距离为5. ★数据输入： 有多组数据，对于每组数据，第一行是一个数字N 表示点的个数。N=0 的时候说明 输入结束。之后N 行，每行有2 个浮点数x_i,y_i 表示第i 个点的坐标。(1<=N<=10000 0,0<=|x_i|,|y_i|<=10^9) ★结果输出: 输出一个浮点数，表示最近点对的距离除以2，保留2 位小数(四舍五入)。

全面介绍有限元网格生成算法的英文教材，可以作为网格生成算法的编程资料(finite element mesh generation has not been taken as a formal subject of teaching in universities,as it encompasses several disciplines including classical geometry, computational geometry and topology, finite element method, data structures and algorithms, computer programming and, to a certain extent, even computer graphics.)

线性方程组的计算，采用的是高斯消元法来实现的。只有主要的算法代码，没有写主函数(Calculation of linear equations using the Gauss elimination method to achieve. Only the main algorithm code, did not write the main function)

一元线性回归，数值分析方面可参考(one yuan linear regression, numerical analysis can look at the reference)

多种传递熵的计算方法，包括离散和连续信号的传递熵计算，包括多种核函数(JIDT: An information-theoretic to olkit for studying the dynamics of complex systems)

对离散点进行多项式拟合，不同于传统多项式拟合高次出现病态，此程序可以拟合高阶多项式( ORTHOFIT Fit polynomial to data. YS = ORTHOFIT(X,Y,N) smooths/fits data Y(X) in a least-squares sense using a polynomial of degree N and returns the smoothed data YS.)

说明：  利用muscl格式求解可压缩多相流，采用minimod,vanabada限制器(Using muscl scheme to solve the compressible multiphase flow, using Minimod, vanabada limiter)

电磁炉原理及维修请大家参考，如有问题，请与我联系(Induction Principle and maintenance please refer to, if there are questions, please contact me)

针对功放得到非线性失真，采用查表法预失真对功放的非线性进行补偿，仿真表明了补偿方式的有效性。(Obtained for nonlinear distortion amplifier, using the look-up table predistortion to compensate for non-linear power amplifier, simulation shows the effectiveness of compensation.)

最小二乘法拟合形如f(x)=(a+bx)/(1+cx)的函数（9.2.2(1))，并解决人口预测问题(9.2.2(2))(Least squares fit of the form f (x) = (a+bx)/(1+cx) function (9.2.2 (1)), and to solve the population prediction problem (9.2.2 (2)))