Generating orthogonal bases of R

This thesis presents a solution to the problem of constructing orthogonal bases of the vector space R3 with integer coordinates and integer lengths. Given a vector u, arbitrary integers x and y, the vectors v and w can be obtained and will form an orthogonal basis for R3 of the desired type using th...

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Main Authors: Brines, Juliet C., Cu, Evangeline L.
Format: text
Language:English
Published: Animo Repository 1993
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Online Access:https://animorepository.dlsu.edu.ph/etd_bachelors/16117
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Institution: De La Salle University
Language: English
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spelling oai:animorepository.dlsu.edu.ph:etd_bachelors-166302022-01-28T03:58:20Z Generating orthogonal bases of R Brines, Juliet C. Cu, Evangeline L. This thesis presents a solution to the problem of constructing orthogonal bases of the vector space R3 with integer coordinates and integer lengths. Given a vector u, arbitrary integers x and y, the vectors v and w can be obtained and will form an orthogonal basis for R3 of the desired type using the definitions and theorems mentioned in this study. The researchers provide a review of definitions, theorems and corollaries that are necessary for the discussion of the orthogonal bases of R3 with integer coordinates and integer lengths.All the theorems stated in this study are lifted from the article written by Anthony Osborne and Hans Liebeck (Jan., 1989). The researchers provided complete proofs of the theorems and examples. Other theorems formulated by the researchers were also derived from the article. 1993-01-01T08:00:00Z text https://animorepository.dlsu.edu.ph/etd_bachelors/16117 Bachelor's Theses English Animo Repository Orthogonal polynomials Mathematics--Formulae Algebras, Linear Linear algebras
institution De La Salle University
building De La Salle University Library
continent Asia
country Philippines
Philippines
content_provider De La Salle University Library
collection DLSU Institutional Repository
language English
topic Orthogonal polynomials
Mathematics--Formulae
Algebras, Linear
Linear algebras
spellingShingle Orthogonal polynomials
Mathematics--Formulae
Algebras, Linear
Linear algebras
Brines, Juliet C.
Cu, Evangeline L.
Generating orthogonal bases of R
description This thesis presents a solution to the problem of constructing orthogonal bases of the vector space R3 with integer coordinates and integer lengths. Given a vector u, arbitrary integers x and y, the vectors v and w can be obtained and will form an orthogonal basis for R3 of the desired type using the definitions and theorems mentioned in this study. The researchers provide a review of definitions, theorems and corollaries that are necessary for the discussion of the orthogonal bases of R3 with integer coordinates and integer lengths.All the theorems stated in this study are lifted from the article written by Anthony Osborne and Hans Liebeck (Jan., 1989). The researchers provided complete proofs of the theorems and examples. Other theorems formulated by the researchers were also derived from the article.
format text
author Brines, Juliet C.
Cu, Evangeline L.
author_facet Brines, Juliet C.
Cu, Evangeline L.
author_sort Brines, Juliet C.
title Generating orthogonal bases of R
title_short Generating orthogonal bases of R
title_full Generating orthogonal bases of R
title_fullStr Generating orthogonal bases of R
title_full_unstemmed Generating orthogonal bases of R
title_sort generating orthogonal bases of r
publisher Animo Repository
publishDate 1993
url https://animorepository.dlsu.edu.ph/etd_bachelors/16117
_version_ 1772834881608351744