In this article, some dual Brunn-Minkowski inequalities are established for star dual of mixed intersection bodies with respect to the harmonic p-combination and p-radial linear combination.
This paper is about the theory of “basic gravitinoes” (in early papers, it was referred to WG) in the material world, which make up the “dark matter” and the elementary particles as well. The strong interaction is...This paper is about the theory of “basic gravitinoes” (in early papers, it was referred to WG) in the material world, which make up the “dark matter” and the elementary particles as well. The strong interaction is generated by the Pressure Effect, which is resulted in the accumulation of the overall gravitation from all the galaxy gravitinoes. The Model for Stable-state Particle Basic Body indicates three stable states which correspond to protons, electrons and neutrons respectively and have been proven by all the particle collision experiments. It’s the root cause that only the short-lived particles resulted in the collisions. The study is supported by all experiments of light propagation, especially the wave-particle duality, and tries to make the theoretical interpretation for three laws of electromagnetic experiment so that the Maxwell’s field equations are derived ultimately and theoretically.展开更多
In this paper,we establish a characterization of the polarity mapping for convex bodies for 1-dimensional convex bodies,which is a supplement to the result for such a characterization obtained by B?r?czky and Schneider.
Based on the viewpoint of duality, this paper studies the interaction between a curved surface body and an inside particle. By convex/concave bodies with geometric duality, interaction potentials of particles located ...Based on the viewpoint of duality, this paper studies the interaction between a curved surface body and an inside particle. By convex/concave bodies with geometric duality, interaction potentials of particles located outside and inside the curved surface bodies are shown to have duality. With duality, the curvature-based potential between a curved surface body and an inside particle is derived. Furthermore, the normal and tangential driving forces exerted on the particle are studied and expressed as a function of curvatures and curvature gradients. Numerical experiments are designed to test accuracy of the curvature-based potential.展开更多
基金Supported by the National Natural Sciences Foundation of China (10801140)
文摘In this article, some dual Brunn-Minkowski inequalities are established for star dual of mixed intersection bodies with respect to the harmonic p-combination and p-radial linear combination.
文摘This paper is about the theory of “basic gravitinoes” (in early papers, it was referred to WG) in the material world, which make up the “dark matter” and the elementary particles as well. The strong interaction is generated by the Pressure Effect, which is resulted in the accumulation of the overall gravitation from all the galaxy gravitinoes. The Model for Stable-state Particle Basic Body indicates three stable states which correspond to protons, electrons and neutrons respectively and have been proven by all the particle collision experiments. It’s the root cause that only the short-lived particles resulted in the collisions. The study is supported by all experiments of light propagation, especially the wave-particle duality, and tries to make the theoretical interpretation for three laws of electromagnetic experiment so that the Maxwell’s field equations are derived ultimately and theoretically.
基金Supported in part by the Natural Science Foundation of Hunan Province(2021JJ30235)the Scientific Research Fund of Hunan Provincial Education Department(21B0479)Postgraduate Scientific Research Innovation Project of Hunan Province(QL20220228)。
文摘In this paper,we establish a characterization of the polarity mapping for convex bodies for 1-dimensional convex bodies,which is a supplement to the result for such a characterization obtained by B?r?czky and Schneider.
基金Project supported by the National Natural Science Foundation of China(Nos.11672150 and11272175)the Natural Science Foundation of Jiangsu Province(No.BK20130910)the specialized Research Found for Doctoral Program of Higher Education(No.2013000211004)
文摘Based on the viewpoint of duality, this paper studies the interaction between a curved surface body and an inside particle. By convex/concave bodies with geometric duality, interaction potentials of particles located outside and inside the curved surface bodies are shown to have duality. With duality, the curvature-based potential between a curved surface body and an inside particle is derived. Furthermore, the normal and tangential driving forces exerted on the particle are studied and expressed as a function of curvatures and curvature gradients. Numerical experiments are designed to test accuracy of the curvature-based potential.
