Sets with convex closure which are unions of two starshaped sets and families of segments which have a 2-partition

1986 ◽  
Vol 27 (1) ◽  
pp. 1-23 ◽  
Author(s):  
Marilyn Breen
Keyword(s):  
Starshaped Sets ◽  
Convex Closure

The Standard Metric

2017 ◽  
Author(s):  
Bernhard M¨uhlherr ◽  
Holger P. Petersson ◽  
Richard M. Weiss
Keyword(s):  
Affine Transformation ◽  
Convex Sets ◽  
Finite Dimension ◽  
Affine Subspace ◽  
Affine Transformations ◽  
Real Vector ◽  
Euclidean Metric ◽  
Affine Hyperplane ◽  
Tits Building ◽  
Convex Closure

This chapter presents some results about groups generated by reflections and the standard metric on a Bruhat-Tits building. It begins with definitions relating to an affine subspace, an affine hyperplane, an affine span, an affine map, and an affine transformation. It then considers a notation stating that the convex closure of a subset a of X is the intersection of all convex sets containing a and another notation that denotes by AGL(X) the group of all affine transformations of X and by Trans(X) the set of all translations of X. It also describes Euclidean spaces and assumes that the real vector space X is of finite dimension n and that d is a Euclidean metric on X. Finally, it discusses Euclidean representations and the standard metric.

scholarly journals On the Convex Closure of the Graph of Modular Inversions

2008 ◽  
Vol 17 (1) ◽  
pp. 91-104 ◽  
Author(s):  
Mizan R. Khan ◽  
Igor E. Shparlinski ◽  
Christian L. Yankov
Keyword(s):  
Convex Closure

Nested sequences of stars and starshaped sets

2019 ◽  
Vol 477 (1) ◽  
pp. 685-691 ◽  
Author(s):  
Marco Baronti ◽  
Emanuele Casini ◽  
Pier Luigi Papini
Keyword(s):  
Starshaped Sets

Typical starshaped sets

1988 ◽  
Vol 36 (2-3) ◽  
pp. 188-200 ◽  
Author(s):  
Tudor Zamfirescu
Keyword(s):  
Starshaped Sets

scholarly journals Spindle starshaped sets

2014 ◽  
Vol 89 (3) ◽  
pp. 803-819 ◽  
Author(s):  
Károly Bezdek ◽  
Márton Naszódi
Keyword(s):  
Starshaped Sets

Limits of starshaped sets

1987 ◽  
Vol 48 (3) ◽  
pp. 241-249 ◽  
Author(s):  
Gerald Beer ◽  
Victor Klee
Keyword(s):  
Starshaped Sets
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