Add to ORKGEuclid presented his fundamental results about 300 B.C., but Euclidean Geometry is still alive today. We studied the new properties of convex sets and its inscribed hexagons in a two dimensional Euclidean space. As an application, these results solved a question in Geometry of Banach Spaces. From my teaching experience at Community College of Philadelphia, I think the material is reasonable and suitable to be added to the Linear Algebra course and/or Functional Analysis course. It may encourage others to know that the tools we give our students remain useful in modern research.
A closure space (J,−) is called a convex geometry (see, for example, [1]), if it satisfies the anti-...
SIGLEAvailable from British Library Document Supply Centre- DSC:D58556/86 / BLDSC - British Library ...
INTRODUCTION The study of convex sets is a branch of geometry, analysis, and linear algebra [5, 7] t...
This book provides a self-contained introduction to convex geometry in Euclidean space. After coveri...
Connections between Euclidean convex geometry and combinatorics go back to Euler, Cauchy, Minkowski ...
Like differentiability, convexity is a natural and powerful property of functions that plays a signi...
The purpose of this paper is to investigate some of the properties of convex sets in the plane throu...
Presented in this monograph is the current state-of-the-art in the theory of convex structures. The ...
Preface Convex analysis is one of the mathematical tools which is used both explicitly and indirectl...
Convex analysis is a branch of mathematics that studies convex sets, convex functions, and convex ex...
"The appearance of Grünbaum's book Convex Polytopes in 1967 was a moment of grace to geometers and c...
Our purpose in these pages will be to develop a broad survey of some problems in covering which have...
Convex geometries (Edelman and Jamison, 1985) are finite combinatorial structures dual to union-clos...
The main goal of this short note is to show the importance of the notion of convexity and how it evo...
Convexity, or convex analysis, is an area of mathematics where one studies questions related to two ...
A closure space (J,−) is called a convex geometry (see, for example, [1]), if it satisfies the anti-...
SIGLEAvailable from British Library Document Supply Centre- DSC:D58556/86 / BLDSC - British Library ...
INTRODUCTION The study of convex sets is a branch of geometry, analysis, and linear algebra [5, 7] t...
This book provides a self-contained introduction to convex geometry in Euclidean space. After coveri...
Connections between Euclidean convex geometry and combinatorics go back to Euler, Cauchy, Minkowski ...
Like differentiability, convexity is a natural and powerful property of functions that plays a signi...
The purpose of this paper is to investigate some of the properties of convex sets in the plane throu...
Presented in this monograph is the current state-of-the-art in the theory of convex structures. The ...
Preface Convex analysis is one of the mathematical tools which is used both explicitly and indirectl...
Convex analysis is a branch of mathematics that studies convex sets, convex functions, and convex ex...
"The appearance of Grünbaum's book Convex Polytopes in 1967 was a moment of grace to geometers and c...
Our purpose in these pages will be to develop a broad survey of some problems in covering which have...
Convex geometries (Edelman and Jamison, 1985) are finite combinatorial structures dual to union-clos...
The main goal of this short note is to show the importance of the notion of convexity and how it evo...
Convexity, or convex analysis, is an area of mathematics where one studies questions related to two ...
A closure space (J,−) is called a convex geometry (see, for example, [1]), if it satisfies the anti-...
SIGLEAvailable from British Library Document Supply Centre- DSC:D58556/86 / BLDSC - British Library ...
INTRODUCTION The study of convex sets is a branch of geometry, analysis, and linear algebra [5, 7] t...