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Critical Chords of Convex Bodies of Constant Width

Critical Chords of Convex Bodies of Constant Width
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摘要 In this paper, we show that when Minkowski measure of asymmetry of convex body K of constant width is bigger than a(n-1), K has at least n+1 critical chords, where a(n)=n+(2n(n+1))√1/2/n+2. In this paper, we show that when Minkowski measure of asymmetry of convex body K of constant width is bigger than a(n-1), K has at least n+1 critical chords, where a(n)=n+(2n(n+1))√1/2/n+2.
出处 《Wuhan University Journal of Natural Sciences》 CAS CSCD 2018年第6期461-464,共4页 武汉大学学报(自然科学英文版)
基金 Supported by the Innovative Project of College Students of Jiangsu Province(201710332019Z) the Natural Science Foundation of Jiangsu Province(BK20171218) the National Natural Science Foundation of China(11671293)
关键词 measure of asymmetry critical chord affine diameter Grtinbaum conjecture constant width measure of asymmetry critical chord affine diameter Grtinbaum conjecture constant width
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