The goal of this thesis is to discuss the Hausdorff Distance and prove that the metric space SX , which is the set of compact subsets of X = R n with the hausdorff distance is a complete metric space. In the first part, we discuss open r-neighborhoods and convexity. Proving some properties and providing examples for some definitions that are defined. This provides us with a background before we begin discussing the Hausdorff Distance. In the second part, we introduce the Hausdorff Distance and its properties. In conclusion, we go on to prove that the metric space SX is a complete metric space using everything that has been discussed previously in the thesis.
Subject (authority = RUETD)
Topic
Mathematics
RelatedItem (type = host)
TitleInfo
Title
Rutgers University Electronic Theses and Dissertations
Identifier (type = RULIB)
ETD
Identifier
ETD_8183
PhysicalDescription
Form (authority = gmd)
electronic resource
InternetMediaType
application/pdf
InternetMediaType
text/xml
Extent
1 online resource (ii, 10 p. : ill.)
Note (type = degree)
M.S.
Note (type = bibliography)
Includes bibliographical references
Subject (authority = ETD-LCSH)
Topic
Hausdorff measures
Note (type = statement of responsibility)
by Joseph Santos
RelatedItem (type = host)
TitleInfo
Title
Camden Graduate School Electronic Theses and Dissertations
Identifier (type = local)
rucore10005600001
Location
PhysicalLocation (authority = marcorg); (displayLabel = Rutgers, The State University of New Jersey)
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