A New Proof of the Pythagorean Theorem and Its Application to Element Decompositions in Topological Algebras
نویسندگان
چکیده
منابع مشابه
A New Proof of the Pythagorean Theorem and Its Application to Element Decompositions in Topological Algebras
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 d...
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 2012
ISSN: 0161-1712,1687-0425
DOI: 10.1155/2012/353917