Theory Of Distances In Neutrogeometry

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Theory Of Distances In Neutrogeometry

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Author :
language : en
Publisher: Infinite Study
Release Date : 2024-01-01

Theory Of Distances In Neutrogeometry written by and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-01 with Mathematics categories.

NeutroGeometry is one of the most recent approaches to geometry. In NeutroGeometry mod-els, the main condition is to satisfy an axiom, definition, property, operator and so on, that is neither entirely true nor entirely false. When one of these concepts is not satisfied at all it is called AntiGeometry. One of the problems that this new theory has had is the scarcity of models. Another open problem is the definition of angle and distance measurements within the framework of NeutroGeometry. This paper aims to introduce a general theory of distance measures in any NeutroGeometry. We also present an algorithm for distance measurement in real-life problems.

Applications Of Neutrogeometry And Antigeometry In Real World

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Author : Erick Gonzalez-Caballero
language : en
Publisher: Infinite Study
Release Date : 2023-01-01

Applications Of Neutrogeometry And Antigeometry In Real World written by Erick Gonzalez-Caballero and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-01 with Mathematics categories.

NeutroGeometries are those geometric structures where at least one definition, axiom, property, theorem, among others, is only partially satisfied. In AntiGeometries at least one of these concepts is never satisfied. Smarandache Geometry is a geometric structure where at least one axiom or theorem behaves differently in the same space, either partially true and partially false, or totally false but its negation done in many ways. This paper offers examples in images of nature, everyday objects, and celestial bodies where the existence of Smarandechean or NeutroGeometric structures in our universe is revealed. On the other hand, a practical study of surfaces with characteristics of NeutroGeometry is carried out, based on the properties or more specifically NeutroProperties of the famous quadrilaterals of Saccheri and Lambert on these surfaces. The article contributes to demonstrating the importance of building a theory such as NeutroGeometries or Smarandache Geometries because it would allow us to study geometric structures where the well-known Euclidean, Hyperbolic or Elliptic geometries are not enough to capture properties of elements that are part of the universe, but they have sense only within a NeutroGeometric framework. It also offers an axiomatic option to the Riemannian idea of Two-Dimensional Manifolds. In turn, we prove some properties of the NeutroGeometries and the materialization of the symmetric triad ,

Applications Of Neutrogeometry And Antigeometry In Real World

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Author : Erick González-Caballero
language : en
Publisher: Infinite Study
Release Date : 2023-01-01

Applications Of Neutrogeometry And Antigeometry In Real World written by Erick González-Caballero and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-01 with Mathematics categories.

NeutroGeometries are those geometric structures where at least one definition, axiom, property, theorem, among others, is only partially satisfied. In AntiGeometries at least one of these concepts is never satisfied. Smarandache Geometry is a geometric structure where at least one axiom or theorem behaves differently in the same space, either partially true and partially false, or totally false but its negation done in many ways. This paper offers examples in images of nature, everyday objects, and celestial bodies where the existence of Smarandechean or NeutroGeometric structures in our universe is revealed. On the other hand, a practical study of surfaces with characteristics of NeutroGeometry is carried out, based on the properties or more specifically NeutroProperties of the famous quadrilaterals of Saccheri and Lambert on these surfaces. The article contributes to demonstrating the importance of building a theory such as NeutroGeometries or Smarandache Geometries because it would allow us to study geometric structures where the well-known Euclidean, Hyperbolic or Elliptic geometries are not enough to capture properties of elements that are part of the universe, but they have sense only within a NeutroGeometric framework. It also offers an axiomatic option to the Riemannian idea of Two-Dimensional Manifolds. In turn, we prove some properties of the NeutroGeometries and the materialization of the symmetric triad , , and .

Nidus Idearum Scilogs Xiii Structure Neutrostructure Antistructure

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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2024-01-01

Nidus Idearum Scilogs Xiii Structure Neutrostructure Antistructure 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 2024-01-01 with Mathematics categories.

In this thirteenth book of scilogs – one may find topics on Neutrosophy, Plithogeny, Physics, Mathematics, Philosophy – email messages to research colleagues, or replies, notes, comments, remarks about authors, articles, or books, spontaneous ideas, and so on. It presents new types of soft sets and new types of topologies. Exchanging ideas with Mohammad Abobala, Ishfaq Ahmad, Ibrahim M. Almanjahie, Fatimah Alshahrani, Nizar Altounji, Muhammad Aslam, Said Broumi, Victor Christianto, R. Diksh, Feng Liu, Frank Julian Gelli, Erick Gonzalez Caballero, Riad Hamido, Yaser Al-Hasan, Ahmed Hatip, Yasin Karmouta, Nivetha Martin, Preda Mihăilescu, V. Lakshmana Gomathi Nayagam, Ze Carlos Tiago de Oliveira, Alexey Platonov, Andrei Pogany, Shakti Prasad, Ranulfo Paiva Barbosa (Sobrinho), Dmitri Rabounski, Ackbar Rezaei, Constantin Sandu, A. Saraswathi, Usman Shahzad, Gocho V. Sharlanov, Stefan Spaarmann, Michael Voskoglou, Vinay Kumar Yadav, Tomasz Witczak, William H. Woodall, Mircea Zărnescu, Mohamed Bisher Zeina (in order of reference in the book).

A Note On Antigeometry And Neutrogeometry And Their Application To Real Life

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Author : Carlos Granados
language : en
Publisher: Infinite Study
Release Date : 2022-04-27

A Note On Antigeometry And Neutrogeometry And Their Application To Real Life written by Carlos Granados and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-27 with Antiques & Collectibles categories.

Dealing with NeutroGeometry in true, false, and uncertain regions is becoming of great interested for researchers. Not too many studies have been done on this topic, for that reason, aim of this work is to define a new method to deal with NeutroGeometry in true, false, and neutrogeometry (T,C,I,F). Furthermore, some real-life application examples in 3D computer graphics, Astrophysics, nanostructure, neutrolaw, neutrogender, neutrocitation, neutrohealth-food, neutroenvironment and quantum space are presented.

Neutrogeometry Neutroalgebra And Superhyperalgebra In Today S World

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Author : Smarandache, Florentin
language : en
Publisher: IGI Global
Release Date : 2023-05-15

Neutrogeometry Neutroalgebra And Superhyperalgebra In Today S World written by Smarandache, Florentin and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-15 with Mathematics categories.

NeutroAlgebra and AntiAlgebra were extended to NeutroGeometry and AntiGeometry in order to catch the Non-Euclidean Geometries. In the real world, the spaces and the elements that populate them and the rules that apply to them are not perfect, uniform, homogeneous, or complete. They are fragmentary and disparate, with unclear and conflicting information, and they do not apply in the same degree to each element. Therefore, these partial, hybrid, and mixed structures are necessary. NeutroGeometry, NeutroAlgebra, and SuperHyperAlgebra in Today's World presents applications of many NeutroStructures in our real world and considers NeutroGeometry and AntiGeometry as new fields of research that resemble everyday life. Covering key topics such as hyperbolic geometry, elliptic geometry, and AntiGeometry, this reference work is ideal for mathematicians, industry professionals, researchers, scholars, academicians, practitioners, instructors, and students.

Introduction To Neutroalgebraic Structures And Antialgebraic Structures Revisited

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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date :

Introduction To Neutroalgebraic Structures And Antialgebraic Structures Revisited 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.

In all classical algebraic structures, the Laws of Compositions on a given set are well-defined. But this is a restrictive case, because there are many more situations in science and in any domain of knowledge when a law of composition defined on a set may be only partially-defined (or partially true) and partially-undefined (or partially false), that we call NeutroDefined, or totally undefined (totally false) that we call AntiDefined.

Neutrosophy

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Author : Florentin Smarandache
language : en
Publisher:
Release Date : 1998

Neutrosophy written by Florentin Smarandache and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.

Neutrosophic Set A Generalization Of The Intuitionistic Fuzzy Set

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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2010-08-23

Neutrosophic Set A Generalization Of The Intuitionistic Fuzzy Set 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 2010-08-23 with Mathematics categories.

In this paper one generalizes the intuitionistic fuzzy set (IFS), paraconsistent set, and intuitionistic set to the neutrosophic set (NS). Many examples are presented. Distinctions between NS and IFS are underlined.

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.