共查询到18条相似文献,搜索用时 171 毫秒
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结合平行体及径向加的定义,给出了星体的对偶平行体.研究了对偶平行体与平均弦长之间的关系,并得出了对偶平行类在某度量下的性质,此外,还证明了对偶Steiner点在对偶平行类上的连续性及赋值性质. 相似文献
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讨论了n维欧氏空间E^n中n维单形不等式的对偶式.利用距离几何理论与解析方法,建立了n维单形两个不等式的对偶式,指出了最近所建立的单形Finsler-Hadwiger不等式的A维对偶式是错误的. 相似文献
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单纯形法一般采用行变换进行计算.本文给出了两种列变换的计算方法,一种与原始单纯形法等价,一种与对偶单纯形法等价,本文称之为对偶方法.这两种方法不引入松弛变量或剩余变量,计算规模小,有明显竞争优势. 相似文献
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二象对偶论及其对偶分析图 总被引:1,自引:0,他引:1
作为前期工作的继续,通过对系统内在二象间对偶关系的动态描述,发现这里有个重要的logistic动力系统及其logistic积分曲线(L-曲线).进一步由对偶的两条L-曲线构成了一个"对偶分析图",指出除分析外它还蕴涵着非常丰富的内容,值得继续探讨.最后给出一些可继续研究的课题建议. 相似文献
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Dual kinematic formulas 总被引:7,自引:0,他引:7
Gaoyong Zhang 《Transactions of the American Mathematical Society》1999,351(3):985-995
We establish kinematic formulas for dual quermassintegrals of star bodies and for chord power integrals of convex bodies by using dual mixed volumes. These formulas are extensions of the fundamental kinematic formula involving quermassintegrals to the cases of dual quermassintegrals and chord power integrals. Applications to geometric probability are considered.
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本文利用对偶混合体积建立平移积分几何中的对偶运动公式.这些公式是将关于均质积分的基本运动公式推广到对偶均质积分和对偶混合体积情形. 相似文献
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In this article, some kinematic formulas for dual quermassintegral of star bodies and for chord power integrals of convex bodies are established by using dual mixed volumes. These formulas are the extensions of the fundamental kinematic formula involving quermassintegral to the case of dual quermassintegral and chord power integrals. 相似文献
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Translative versions of the principal kinematic formula for quermassintegrals of convex bodies are studied. The translation integral is shown to be a sum of Crofton type integrals of mixed volumes. As corollaries new integral formulas for mixed volumes are obtained. For smooth centrally symmetric bodies the functionals occurring in the principal translative formula are expressed by measures on Grassmannians which are related to the generating measures of the bodies.Dedicated to Professor Otto Haupt with best wishes on his 100th birthday 相似文献
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A new type of Brunn–Minkowski inequality for mixed affine surface area is established. As applications, we obtain two new Brunn–Minkowski inequalities for dual quermassintegrals. 相似文献
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《Indagationes Mathematicae》2017,28(4):721-735
The dual Orlicz–Brunn–Minkowski inequality is extended from volume to dual quermassintegrals. As application, a dual mixed log-Brunn–Minkowski inequality is obtained. Moreover, dual Orlicz mixed quermassintegrals are defined and a dual Orlicz–Minkowski inequality and a dual mixed log-Minkowski inequality are established. 相似文献
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本文研究了星体的对偶仿射均质积分问题.利用H(o)lder不等式和Blaschke-Santaló不等式.获得了一般对偶均质积分的Minkowski不等式,Brunn-Minkowski不等式以及定理3.从而不等式推广了文献[7]的结果. 相似文献
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L_p-混合质心体和对偶L_p-混合质心体 总被引:1,自引:0,他引:1
本文引进了L_p-混合质心体Γ_(p,i)K、对偶L_p-混合质心体Γ_(-p,i)K和R~n中星体K和L的L_p-混合调和Blaschke加K+_pL的概念,成功地解决了L_p-混合质心体和对偶L_p-混合质心体的Shephard型问题.并且结合星体的L_p-混合调和Blaschke加的概念,分别建立了L_p-混合质心体的均质积分和对偶均质积分的Brunn-Minkowski型不等式.所获结论推广了已有文献的结果. 相似文献