Superhyperfunction Superhyperstructure Neutrosophic Superhyperfunction And Neutrosophic Superhyperstructure Current Understanding And Future Directions
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Superhyperfunction Superhyperstructure Neutrosophic Superhyperfunction And Neutrosophic Superhyperstructure Current Understanding And Future Directions
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date :
Superhyperfunction Superhyperstructure Neutrosophic Superhyperfunction And Neutrosophic Superhyperstructure Current Understanding And Future Directions written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
The n-th PowerSet of a Set {or Pn(S)} better describes our real world, because a system S (which may be a company, institution, association, country, society, set of objects/plants/animals/beings, set of concepts/ideas/propositions, etc.) is formed by sub-systems, which in their turn by sub-sub-systems, and so on. We prove that the SuperHyperFunction is a generalization of classical Function, SuperFunction, and HyperFunction. And the SuperHyperAlgebra, SuperHyperGraph are part of the SuperHyperStructure. Almost all structures in our real world are Neutrosophic SuperHyperStructures since they have indeterminate/incomplete/uncertain/conflicting data.
Introduction To The Division By Zero Calculus
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Author : SABUROU SAITOH
language : en
Publisher: Scientific Research Publishing, Inc. USA
Release Date : 2021-02-04
Introduction To The Division By Zero Calculus written by SABUROU SAITOH and has been published by Scientific Research Publishing, Inc. USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-04 with Mathematics categories.
The common sense on the division by zero with the long and mysterious history is wrong and our basic idea on the space around the point at infinity is also wrong since Euclid. On the gradient or on differential coefficients we have a great missing since tan(π/2) = 0. Our mathematics is also wrong in elementary mathematics on the division by zero. In this book in a new and definite sense, we will show and give various applications of the division by zero 0/0 = 1/0 = z/0 = 0. In particular, we will introduce several fundamental concepts in calculus, Euclidean geometry, analytic geometry, complex analysis and differential equations. We will see new properties on the Laurent expansion, singularity, derivative, extension of solutions of differential equations beyond analytical and isolated singularities, and reduction problems of differential equations. On Euclidean geometry and analytic geometry, we will find new fields by the concept of the division by zero. We will collect many concrete properties in mathematical sciences from the viewpoint of the division by zero. We will know that the division by zero is our elementary and fundamental mathematics.