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宋光世 《重庆大学学报(英文版)》2003,2(2)
1. Introduction In 1696, the French mathematician L. Hospital published a thesis titled Infinitesimal Analysis which dealt with differential and integral calculus created by Newton and Leibniz. The thesis attracted much worldwide attention on its appearance, especially Hospital抯 creation so called 揹ifferential solution method for unitary indeterminate form?is till popular. The author acquired in early 1936 that 22xyzxy=+ is the indeterminate form when P(x,y) O (0,0), and that dtandyykxxa… 相似文献
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宋光世 《重庆大学学报(英文版)》2004,(2)
1SimplificationinsphericalcoordinatesInthesphericalcoordinatessystem,??y?x=rsinθcosφ,z=rsinθsinφ,=rcosθ,???00≤θ<π,≤θ<2π.Setk=?tanφ,yandK=?zcotθ,then,xxcosφcotθu=r0K(t,t')istransformedintor=r0K(tanφ,cos),φandis,whenφ=0,simplifiedintoatruncatedcurver=r°K(0,cotθ).Thelatteriseasiertoberesolvedandcanreverttotheformerthroughturningaroundfor180°.Example.Thereexistsu=z2=(rcosθ)2x2+y2+z2r2=r°cos2θ?φ°,0≤θ≤π,0≤φ<2π.AsshowninFig.1,XX′isthediameteroftheunitcircle,OP0i… 相似文献
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