Introduction to Bimetrics

By Florentin Smarandache

Book Id: WPLBN0002097044
Format Type: PDF eBook:
File Size: 0.6 MB
Reproduction Date: 8/31/2011

Title:	Introduction to Bimetrics
Author:	Florentin Smarandache
Volume:
Language:	English
Subject:	Non Fiction, Matrix Theory, Smarandache Collections
Collections:	Authors Community, Mathematics
Historic Publication Date:
Publisher:	Hexis and Florentin Smarandache

Member Page:	PG Reading Room
Citation APA MLA Chicago Smarandache, B. F. (n.d.). Introduction to Bimetrics. Retrieved from http://gutenberg.cc/

Description
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.

Excerpt
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.