The integro-geometric tangent measures of euclidean n-space

Graduate Thesis Or Dissertation

Public Deposited

Citeable URL: https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/sf268797n

Descriptions

Attribute Name	Values
Creator	Zelver, Jack Solomon
Abstract	A technique of differentiation with respect to the distance to the boundary of an outer parallel-body is applied to known measures of sets of p-dimensional linear spaces which intersect a general convex body in n-dimensional euclidean space in order to obtain an appropriate definition of the measures of sets of p-dimensional linear spaces which are tangent to a general convex body in n-space. A few side results are obtained along the way, and there are included two applications of these measures of tangents. The first is a simple application to geometric probabilities in 3-space, and the second yields a new and integro-geometric proof of Kubota's formula.
Resource Type	Dissertation
Date Available	2010-07-27T15:53:35+00:00
Date Issued	1969-11-07
Degree Level	Doctoral
Degree Name	Doctor of Philosophy (Ph.D.)
Degree Field	Mathematics
Degree Grantor	Oregon State University
Commencement Year	1970
Advisor	Goheen, Harry
Academic Affiliation	Mathematics
Non-Academic Affiliation	Oregon State University. Graduate School
Subject	Geometry, Differential
Rights Statement	Copyright Not Evaluated
Publisher	Oregon State University
Language	English [eng]
Digitization Specifications	File scanned at 300 ppi (Monochrome) using Capture Perfect 3.0.82 on a Canon DR-9080C in PDF format. CVista PdfCompressor 4.0 was used for pdf compression and textual OCR.
Replaces	http://hdl.handle.net/1957/17117

Parents:

This work has no parents.

In Collection:

Thumbnail	Title	Date Uploaded	Visibility	Actions
	RedactedZelverJackSolomon1970.pdf	2017-08-14	Public	Download