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thesis 4:5:2017 finall tex.pdf (197.56 KB)
ETD Abstract Container
Abstract Header
MEASURING CONVEXITY OF A SET
Author Info
Almuraysil, Norah Abdullatif
ORCID® Identifier
http://orcid.org/0000-0002-4705-5338
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=kent1491496062145907
Abstract Details
Year and Degree
2017, MS, Kent State University, College of Arts and Sciences / Department of Mathematical Sciences.
Abstract
This thesis is dedicated to a study of the interrelationships between different measurements of non-convexity of a given compact set. Many of such measurements depend on the Euclidean structure of the space, our goal is to present a generalization of a few know results from the case of the Euclidean distance to the maximum distance and to more general settings. We will first study the relation between the Hausdorff distance, inradius, and the radius of the circumscribed ball. After that, we will use those results in a couple of theorems that produce relations between non-convexity measurement using cube and compact set M instead of the Euclidean ball
Committee
Artem Zvavitch, Dr (Advisor)
Benjamin Jaye, Dr (Committee Member)
Dmitry Ryabogin, Dr (Committee Member)
Pages
24 p.
Subject Headings
Mathematics
Keywords
Non-convex, Hausdorff distance,
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Citations
Almuraysil, N. A. (2017).
MEASURING CONVEXITY OF A SET
[Master's thesis, Kent State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=kent1491496062145907
APA Style (7th edition)
Almuraysil, Norah.
MEASURING CONVEXITY OF A SET.
2017. Kent State University, Master's thesis.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=kent1491496062145907.
MLA Style (8th edition)
Almuraysil, Norah. "MEASURING CONVEXITY OF A SET." Master's thesis, Kent State University, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=kent1491496062145907
Chicago Manual of Style (17th edition)
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Document number:
kent1491496062145907
Download Count:
472
Copyright Info
© 2017, some rights reserved.
MEASURING CONVEXITY OF A SET by Norah Abdullatif Almuraysil is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License. Based on a work at etd.ohiolink.edu.
This open access ETD is published by Kent State University and OhioLINK.