摘要
对文献 [1 ]之“均匀质点系的定幂和球定理”进行了推广 ,得到了均匀质点系的定幂代数和球定理 .其主要结果是 :1 )均匀质点系M的定幂代数和球是其子点系M1 与M2 的准心线球 .2 )均匀质点系M的子点系M1 与M2 的准心线球是该质点系的定幂代数和球 .
Inthispaper ,wegeneralizethefixedpowersumspheretheoremofevenparticlesystemin troducedin [1 ],andobtainthefixedpoweralgebraicsumspheretheoremofevenparticlesystem .Themain resultsofthispapercanbestatedasfollows:SopposeM1 andM2 aretwosub - particlesystemsofevenpar ticlesystemM1 ,thenⅰ )ThefixedpoweralgebraicsumsphereofMisthequasi -two -centreline sphereofM1 andM2 .ⅱ )Thequasi-two -centrelinesphereofM1 andM2 isthefixedpoweralgebraic sumsphereofM .
关键词
均匀质点数
代数和球
子点系
准心线球
运幂代数和球定理
evenparticlesystem
fixedpower
algebraicsumsphere
sub - particlesystem
quasi-two-centrelinesphere
