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本文是文献[2]的改进和推广。它用统一的方法,证明了表面为二次共焦曲面的孤立带电导体的电荷面密度与高斯曲率绝对值的1/4次方成正比,而且在证明的过程中,不像文献[2]那样需要引文献[8]的结论。
This article is the literature [2] improvement and promotion. It is proved by a unified method that the charge density of the isolated charged conductor with the surface of the quadratic confocal surface is proportional to the square of the absolute value of the Gaussian curvature. In the proof process, unlike the literature [2] That would require citation [8] conclusion.