NDLTD Global ETD Search
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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

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Showing 1 to 2 of 2 (0.041 seconds)

Spelling suggestions: "subject:"euclidean 3space"" "subject:"euclidean despace""

1

Euclidean N-space

Horner, Donald R. 08 1900 (has links)
This study of the Euclidean N-space looks at some definitions and their characteristics, some comparisons, boundedness and compactness, and transformations and mappings.
Euclidean N-space
definitions
characteristics
comparisons
boundedness
compactness
transformations
mappings
2

Simplicial Homology

Chang, Chih-Chen 08 1900 (has links)
The purpose of this thesis is to construct the homology groups of a complex over an R-module. The thesis begins with hyperplanes in Euclidean n-space. Simplexes and complexes are defined, and orientations are given to each simplex of a complex. The chains of a complex are defined, and each chain is assigned a boundary. The function which assigns to each chain a boundary defines the set of r-dimensional cycles and the set of r—dimensional bounding cycles. The quotient of those two submodules is the r-dimensional homology group.
homology group
complex
R-module
hyperplanes
Euclidean n-space

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