A New Proof of the Pythagorean Theorem and Its Application to Element Decompositions in Topological Algebras

Author

Greensite, Fred

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

Mathematics

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