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Introduction to Bimetrics

By Florentin Smarandache

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Book Id: WPLBN0002097044
Format Type: pdf
File Size: 626 KB
Reproduction Date: 8/31/2011
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Title: Introduction to Bimetrics  
Author: Florentin Smarandache
Language: English
Subject: Non Fiction, Matrix Theory, Smarandache Collections
Collections: Mathematics, Algebra, Authors Community, Math, Literature, Most Popular Books in China, Favorites in India
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Publisher: Hexis and Florentin Smarandache
Member Page: PGReadingRoom


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Smarandache, F. (n.d.). Introduction to Bimetrics. Retrieved from

Matrix theory has been one of the most utilised concepts in fuzzy models and neutrosophic models. From solving equations to characterising linear transformations or linear operators, matrices are used. Matrices find their applications in several real models. In fact it is not an exaggeration if one says that matrix theory and linear algebra (i.e. vector spaces) form an inseparable component of each other. The study of bialgebraic structures led to the invention of new notions like birings, Smarandache birings, bivector spaces, linear bialgebra, bigroupoids, bisemigroups, etc. But most of these are abstract algebraic concepts except, the bisemigroup being used in the construction of biautomatons. So we felt it is important to construct nonabstract bistructures which can give itself for more and more lucid applications.

Matrices provide a very powerful tool for dealing with linear models. Bimatrices which we are going to define in this chapter are still a powerful and an advanced tool which can handle over one linear model at a time. Bimatrices will be useful when time bound comparisons are needed in the analysis of the model.


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