首页|Compositions and Transformations on Spherical Convex Sets

Compositions and Transformations on Spherical Convex Sets

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In this paper,we first study some compositions/transformations,such as the scalar-multiplication,spherical addition and canonical transformation,etc.,on the unit sphere of Euclidean spaces,and in turn on spherically convex sets in the unit sphere.Then we study valuations on the families of spherically convex sets.In particular,we show that the spherical projections defined recently by Ferreira et al are valuations in some cases.

spherical convexityradial projectionprojection to spherevaluation

ZHOU Xia、GUO Qi

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Department of Mathematics, Suzhou University of Science and Technology, Suzhou 215009, Jiangsu, China

Supported by the National Natural Science Foundation of ChinaSupported by the National Natural Science Foundation of ChinaResearch and Innovation Fund for Graduates of USTS

1167129311271282SKCX18_015

2020

10.19823/j.cnki.1007-1202.2020.0040

武汉大学自然科学学报(英文版)
武汉大学

武汉大学自然科学学报(英文版)

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影响因子：0.066
ISSN：1007-1202
年,卷(期)：2020.25(4)
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