A New Proof of the Pythagorean Theorem and Its Application to Element Decompositions in Topological Algebras
Author
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-01
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We present a new proof of the Pythagorean theorem which suggests a particular decomposition of the elements of a topological algebra in terms of an “inverse norm” (addressing unital algebraic structure rather than simply vector space structure).
One consequence is the unification of Euclidean norm, Minkowski norm, geometric mean, and determinant, as expressions of this entity in the context of different algebras.
American Psychological Association (APA)
Greensite, Fred. 2012. A New Proof of the Pythagorean Theorem and Its Application to Element Decompositions in Topological Algebras. International Journal of Mathematics and Mathematical Sciences،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-465259
Modern Language Association (MLA)
Greensite, Fred. A New Proof of the Pythagorean Theorem and Its Application to Element Decompositions in Topological Algebras. International Journal of Mathematics and Mathematical Sciences No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-465259
American Medical Association (AMA)
Greensite, Fred. A New Proof of the Pythagorean Theorem and Its Application to Element Decompositions in Topological Algebras. International Journal of Mathematics and Mathematical Sciences. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-465259
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-465259