ON THE SUFFICIENT CONDITION FOR A CONVEX DOMAIN TO CONTAIN ANOTHER IN R2n

数学物理学报(英文版) ›› 1998, Vol. 18 ›› Issue (2): 121-123.

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ON THE SUFFICIENT CONDITION FOR A CONVEX DOMAIN TO CONTAIN ANOTHER IN R_2n

余焱

Dept. of Inf. and Contr. Eng., Shanghai Jiaotong University, Shanghai 200030, China

收稿日期:1995-08-11 出版日期:1998-06-25 发布日期:1998-06-25

ON THE SUFFICIENT CONDITION FOR A CONVEX DOMAIN TO CONTAIN ANOTHER IN R_2n

She Yan

Dept. of Inf. and Contr. Eng., Shanghai Jiaotong University, Shanghai 200030, China

Received:1995-08-11 Online:1998-06-25 Published:1998-06-25

摘要/Abstract

摘要： In this paper, the author extends Ren's results in plane to the case of R_2n,i.e., estimates the kinematic measure of a convex domain D₁ with boundary ∑₁ moving to another domain D₀ with boundary ∑₀ under the isometry group G in R_2n. A sufficient condition for D₀ contain D₁ by using kinematic foundamatal formula and Poincare's formula in R_n is obtained.

关键词: Convex domain, kinematic foundamental formula, Poincare's formula

Abstract: In this paper, the author extends Ren's results in plane to the case of R_2n,i.e., estimates the kinematic measure of a convex domain D₁ with boundary ∑₁ moving to another domain D₀ with boundary ∑₀ under the isometry group G in R_2n. A sufficient condition for D₀ contain D₁ by using kinematic foundamatal formula and Poincare's formula in R_n is obtained.

Key words: Convex domain, kinematic foundamental formula, Poincare's formula

余焱. ON THE SUFFICIENT CONDITION FOR A CONVEX DOMAIN TO CONTAIN ANOTHER IN R_2n[J]. 数学物理学报(英文版), 1998, 18(2): 121-123.

She Yan. ON THE SUFFICIENT CONDITION FOR A CONVEX DOMAIN TO CONTAIN ANOTHER IN R_2n[J]. Acta mathematica scientia,Series B, 1998, 18(2): 121-123.

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ON THE SUFFICIENT CONDITION FOR A CONVEX DOMAIN TO CONTAIN ANOTHER IN R_2n

ON THE SUFFICIENT CONDITION FOR A CONVEX DOMAIN TO CONTAIN ANOTHER IN R_2n

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