简介:SINGULARITYANDQUADRATUREREGULARITYOF(0,1,...,m-2,m)─INTERPOLATIONONTHEZEROSOF(1-x)Pn-1αβ(x)ShiYingguang(史应光)(ComputingCe...
简介:Anecessaryandsufficientconditionofregularityof(0,1,…,m-2,m)interpo-lationonthezerosoftheLaguerrepolynomialsLn(α)(x)(α≥-1)inamanageableformisestablished.Meanwhile,theexplicitrepresentationofthefundamentalpolynomials,whentheyexist,isgiven.Moreover,itisshownthat,iftheproblemof(0,1,…,m-2,TO)interpolationhasaninfinityofsolutions,thenthegeneralformofthesolutionsisf0(x)+Cf1(x)withanarbitraryconstantC.
简介:老师在课堂上用实验演示了弹簧振子做简谐运动的周期T与振幅A无关,而取决于振子质量m和劲度系数k.为了便于记忆,老师给出了它的周期公式T=2πm/k~(1/2).这个公式是教材中没有的,老师也没有加以证明.我想,能否利用我所学的知识证明它呢?我头脑一下子兴奋起来了,课后就开始着手去证明了.在简谐运动过程中,弹簧的弹力是变化的,要