Theory Of Distances In Neutrogeometry

Author : Anonim
Publisher : Infinite Study
Page : 11 pages
File Size : 44,5 Mb
Release : 2024-01-01
Category : Mathematics
ISBN : 8210379456XXX

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Theory of Distances in NeutroGeometry by Anonim Pdf

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.

Author : Florentin Smarandache
Publisher : Infinite Study
Page : 98 pages
File Size : 43,9 Mb
Release : 2024-01-01
Category : Mathematics
ISBN : 8210379456XXX

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Nidus Idearum. Scilogs, XIII: Structure / NeutroStructure / AntiStructure by Florentin Smarandache Pdf

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).

Author : Erick Gonzalez-Caballero
Publisher : Infinite Study
Page : 19 pages
File Size : 41,6 Mb
Release : 2023-01-01
Category : Mathematics
ISBN : 8210379456XXX

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Applications of NeutroGeometry and AntiGeometry in Real World by Erick Gonzalez-Caballero Pdf

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 ,

Author : Erick González-Caballero
Publisher : Infinite Study
Page : 19 pages
File Size : 42,6 Mb
Release : 2023-01-01
Category : Mathematics
ISBN : 8210379456XXX

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Applications of NeutroGeometry and AntiGeometry in Real World by Erick González-Caballero Pdf

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 .

Author : Carlos Granados
Publisher : Infinite Study
Page : 15 pages
File Size : 41,5 Mb
Release : 2022-04-27
Category : Antiques & Collectibles
ISBN : 8210379456XXX

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A note on AntiGeometry and NeutroGeometry and their application to real life by Carlos Granados Pdf

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.

Author : Smarandache, Florentin,Al Tahan, Madeline
Publisher : IGI Global
Page : 280 pages
File Size : 43,9 Mb
Release : 2023-05-15
Category : Mathematics
ISBN : 9781668447420

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NeutroGeometry, NeutroAlgebra, and SuperHyperAlgebra in Today's World by Smarandache, Florentin,Al Tahan, Madeline Pdf

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.

Author : Smarandache, Florentin,Al-Tahan, Madeline
Publisher : IGI Global
Page : 333 pages
File Size : 51,6 Mb
Release : 2022-04-15
Category : Mathematics
ISBN : 9781668434970

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Theory and Applications of NeutroAlgebras as Generalizations of Classical Algebras by Smarandache, Florentin,Al-Tahan, Madeline Pdf

Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities as well as their interactions with different ideational spectra. In all classical algebraic structures, the law of compositions on a given set are well-defined, but this is a restrictive case because there are situations in science where a law of composition defined on a set may be only partially defined and partially undefined, which we call NeutroDefined, or totally undefined, which we call AntiDefined. Theory and Applications of NeutroAlgebras as Generalizations of Classical Algebra introduces NeutroAlgebra, an emerging field of research. This book provides a comprehensive collection of original work related to NeutroAlgebra and covers topics such as image retrieval, mathematical morphology, and NeutroAlgebraic structure. It is an essential resource for philosophers, mathematicians, researchers, educators and students of higher education, and academicians.

Author : Florentin Smarandache
Publisher : Infinite Study
Page : 16 pages
File Size : 55,8 Mb
Release : 2024-06-28
Category : Mathematics
ISBN : 8210379456XXX

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Introduction to NeutroAlgebraic Structures and AntiAlgebraic Structures (revisited) by Florentin Smarandache Pdf

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.

Author : Florentin Smarandache
Publisher : Unknown
Page : 110 pages
File Size : 43,9 Mb
Release : 1998
Category : Mathematics
ISBN : STANFORD:36105112484626

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Neutrosophy by Florentin Smarandache Pdf

Author : SABUROU SAITOH
Publisher : Scientific Research Publishing, Inc. USA
Page : 203 pages
File Size : 40,5 Mb
Release : 2021-02-04
Category : Mathematics
ISBN : 9781649970893

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Introduction to the Division by Zero Calculus by SABUROU SAITOH Pdf

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.

Author : Florentin Smarandache
Publisher : Infinite Study
Page : 10 pages
File Size : 51,6 Mb
Release : 2010-08-23
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Set - A Generalization of The Intuitionistic Fuzzy Set by Florentin Smarandache Pdf

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.

Author : Said Broumi,Assia Bakali,Ayoub Bahnasse
Publisher : Infinite Study
Page : 32 pages
File Size : 52,6 Mb
Release : 2024-06-28
Category : Electronic
ISBN : 8210379456XXX

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Neutrosophic Sets: An Overview by Said Broumi,Assia Bakali,Ayoub Bahnasse Pdf

In this study, we give some concepts concerning the neutrosophic sets, single valued neutrosophic sets, interval-valued neutrosophic sets, bipolar neutrosophic sets, neutrosophic hesitant fuzzy sets, inter-valued neutrosophic hesitant fuzzy sets, refined neutrosophic sets, bipolar neutrosophic refined sets, multi-valued neutrosophic sets, simplified neutrosophic linguistic sets, neutrosophic over/off/under sets, rough neutrosophic sets, rough bipolar neutrosophic sets, rough neutrosophic hyper-complex set, and their basic operations.

Author : Marvin J. Greenberg
Publisher : Unknown
Page : 400 pages
File Size : 40,7 Mb
Release : 1993
Category : Geometry
ISBN : LCCN:79019348

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Euclidean and Non-Euclidean Geometries by Marvin J. Greenberg Pdf

Author : Murad Arar,Saeid Jafari
Publisher : Infinite Study
Page : 16 pages
File Size : 43,7 Mb
Release : 2020-12-01
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Topological Spaces by Murad Arar,Saeid Jafari Pdf

In this paper, the concept of neutrosophic topological spaces is introduced. We define and study the properties of neutrosophic open sets, closed sets, interior and closure. The set of all generalize neutrosophic pre-closed sets GNPC and the set of all neutrosophic open sets in a neutrosophic topological space can be considered as examples of generalized neutrosophic topological spaces.

Author : Vasantha Kandasamy, Ilanthenral K,Florentin Smarandache
Publisher : Infinite Study
Page : 128 pages
File Size : 40,5 Mb
Release : 2024-06-28
Category : Electronic
ISBN : 9781599733623

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Neutrosophic Graphs: A New Dimension to Graph Theory by Vasantha Kandasamy, Ilanthenral K,Florentin Smarandache Pdf

Studies to neutrosophic graphs happens to be not only innovative and interesting, but gives a new dimension to graph theory. The classic coloring of edge problem happens to give various results. Neutrosophic tree will certainly find lots of applications in data mining when certain levels of indeterminacy is involved in the problem. Several open problems are suggested.