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函数k(u)=▏sinu▏+a所确定的Wulff形
Wulff Shape Determined by the Function k(u)=▏sinu▏+a

DOI: 10.12677/AAM.2023.125217, PP. 2138-2142

Keywords: 支持函数,正连续函数,Wulff形
Support Function
, Positive Continuous Function, Wulff Shape

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Abstract:

凸体是积分几何和凸几何分析的重要内容,Wulff形作为一类特殊凸体,具有一定研究价值。利用凸体的支持函数与函数性质,研究函数k(u)=▏sinu+a所确定的Wulff形,给出Wulff形的周长和面积的计算公式。
Convex body is an important part of integral geometry and convex geometry analysis. As a special convex body, Wulff shape has certain research value. By using the support functions of convex bod-ies and function properties, this paper discusses the Wulff shape determined by the function k(u)=sinu+a , given the formula for calculating the perimeter and area of the Wulff shape.

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