基于黎曼积分的同分布原理及应用

Same Distribution Principle Based on Riemann-Integral and its Some Applications

颜毅华和樱井 2 0 0 0年在太阳物理杂志上发表一文 ,他们采取引入满足一定条件的局部参数λ来替代无力因子α的方法 ,针对太阳光球外围开放空间的非常α无力场模型 ,提出了一个边界积分方程表示 .李柱恒等人在 2 0 0 4年发表于英国皇家天文学月刊的文章中 ,研究该边界积分方程的性质 ,遇到了一类重要奇异曲面积分 .为了计算这类积分 ,本文在黎曼积分理论中引入同分布概念 ,建立同分布原理 ,并给出它的某些重要应用 .

A boundary integral equation representation for the non-constant-α for ce-free field in the exterior of the sun can be found in Yan & Sakurai (2000), where a local parameter λ instead of the force-free factor α has been intro duced which should satisfy a proposed condition. The property of boundary integral equ ation presented by Yan has been discussed in Li,Song & Yan (2004),where a kin d of important singularity surface integration can be found. In order to calcula te this kind of integration,in this paper,we present a concept of the same dis tribution to Riemann-integral,build the same distribution principle and give s ome important applications of it.