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On The Concept Of Symbolic 7 Plithogenic Real Matrices


On The Concept Of Symbolic 7 Plithogenic Real Matrices
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On The Concept Of Symbolic 7 Plithogenic Real Matrices


On The Concept Of Symbolic 7 Plithogenic Real Matrices
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Author : Khadija Ben Othman
language : un
Publisher: Infinite Study
Release Date : 2023-01-01

On The Concept Of Symbolic 7 Plithogenic Real Matrices written by Khadija Ben Othman 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.


The main goal of this paper is to study the properties of symbolic 7-plithogenic matrices with real entries, where an algebraic view of their properties and relations will be presented and discussed. Also, we present many theorems that concern the computing of their eigenvalues and eigenvectors and their connection with classical ordinary matrices. Many related examples will be provided to clarify the validity of our work.



Neutrosophic Sets And Systems Vol 59 2023 Special Issue On Symbolic Plithogenic Algebraic Structures


Neutrosophic Sets And Systems Vol 59 2023 Special Issue On Symbolic Plithogenic Algebraic Structures
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2023-09-01

Neutrosophic Sets And Systems Vol 59 2023 Special Issue On Symbolic Plithogenic Algebraic Structures 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 2023-09-01 with Mathematics categories.


“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc. 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. This theory considers every notion or idea together with its opposite or negation and with their spectrum of neutralities in between them (i.e. notions or ideas supporting neither nor ). The and ideas together are referred to as . Neutrosophy is a generalization of Hegel's dialectics (the last one is based on and only). According to this theory every idea tends to be neutralized and balanced by and ideas - as a state of equilibrium. In a classical way , , are disjoint two by two. But, since in many cases the borders between notions are vague, imprecise, Sorites, it is possible that , , (and of course) have common parts two by two, or even all three of them as well. Neutrosophic Set and Neutrosophic Logic are generalizations of the fuzzy set and respectively fuzzy logic (especially of intuitionistic fuzzy set and respectively intuitionistic fuzzy logic). In neutrosophic logic a proposition has a degree of truth (T), a degree of indeterminacy (I), and a degree of falsity (F), where T, I, F are standard or non-standard subsets of ]-0, 1+[. Neutrosophic Probability is a generalization of the classical probability and imprecise probability. Neutrosophic Statistics is a generalization of the classical statistics. What distinguishes the neutrosophics from other fields is the , which means neither nor . , which of course depends on , can be indeterminacy, neutrality, tie game, unknown, contradiction, ignorance, imprecision, etc.



Introduction To Symbolic 2 Plithogenic Probability Theory


Introduction To Symbolic 2 Plithogenic Probability Theory
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Author : Mohamed Bisher Zeina
language : en
Publisher: Infinite Study
Release Date : 2023-01-01

Introduction To Symbolic 2 Plithogenic Probability Theory written by Mohamed Bisher Zeina 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.


In this paper we present for the first time the concept of symbolic plithogenic random variables and study its properties including expected value and variance. We build the plithogenic formal form of two important distributions that are exponential and uniform distributions. We find its probability density function and cumulative distribution function in its plithogenic form. We also derived its expected values and variance and the formulas of its random numbers generating. We finally present the fundamental form of plithogenic probability density and cumulative distribution functions. All the theorems were proved depending on algebraic approach using isomorphisms. This paper can be considered the base of symbolic plithogenic probability theory.



Solution Of System Of Symbolic 2 Plithogenic Linear Equations Using Cramer S Rule


Solution Of System Of Symbolic 2 Plithogenic Linear Equations Using Cramer S Rule
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Author : P. Prabakaran
language : en
Publisher: Infinite Study
Release Date : 2023-01-01

Solution Of System Of Symbolic 2 Plithogenic Linear Equations Using Cramer S Rule written by P. Prabakaran 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.


In this article, the concept of system of symbolic 2-plithogenic linear equations and its solutions are introduced and studied. The Cramer's rule was applied to solve the system of symbolic 2-plithogenic linear equations. Also, provided enough examples for each case to enhance understanding.



On Novel Results About The Algebraic Properties Of Symbolic 3 Plithogenic And 4 Plithogenic Real Square Matrices


On Novel Results About The Algebraic Properties Of Symbolic 3 Plithogenic And 4 Plithogenic Real Square Matrices
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Author : Hamiyet Merkepçi
language : en
Publisher: Infinite Study
Release Date : 2023-01-01

On Novel Results About The Algebraic Properties Of Symbolic 3 Plithogenic And 4 Plithogenic Real Square Matrices written by Hamiyet Merkepçi 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.


Symbolic n-plithogenic sets are considered to be modern concepts that carry within their framework both an algebraic and logical structure. The concept of symbolic n-plithogenic algebraic rings is considered to be a novel generalization of classical algebraic rings with many symmetric properties. These structures can be written as linear combinations of many symmetric elements taken from other classical algebraic structures, where the square symbolic k-plithogenic real matrices are square matrices with real symbolic k-plithogenic entries. In this research, we will find easy-to-use algorithms for calculating the determinant of a symbolic 3-plithogenic/4-plithogenic matrix, and for finding its inverse based on its classical components, and even for diagonalizing matrices of these types. On the other hand, we will present a new algorithm for calculating the eigenvalues and eigenvectors associated with matrices of these types. Also, the exponent of symbolic 3-plithogenic and 4-plithogenic real matrices will be presented, with many examples to clarify the novelty of this work.



An Algebraic Approach To N Plithogenic Square Matrices


An Algebraic Approach To N Plithogenic Square Matrices
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Author : Noor Edin Rabeh
language : un
Publisher: Infinite Study
Release Date : 2024-01-01

An Algebraic Approach To N Plithogenic Square Matrices written by Noor Edin Rabeh 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.


This paper is dedicated to study the algebraic properties and substructures that are related to the symbolic 18 and 19 plithogenic square matrices, where we present many different theorems and examples to clarify the computation of symbolic 18 and 19 plithogenic determinants, and finding 18-plithogenic and 19-plithogenic eigenvalues and eigenvectors. On the other hand, we provide algorithms for computing the inverses of symbolic 18-plithogenic and 19-plithogenic matrices with necessary and sufficient conditions for the orthogonality of those matrices.



On Symbolic 2 Plithogenic Real Matrices And Their Algebraic Properties


On Symbolic 2 Plithogenic Real Matrices And Their Algebraic Properties
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Author : Abuobida Mohammed A. Alfahal
language : un
Publisher: Infinite Study
Release Date : 2023-01-01

On Symbolic 2 Plithogenic Real Matrices And Their Algebraic Properties written by Abuobida Mohammed A. Alfahal 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.


Symbolic n-plithogenic sets came with many generalizations to classical algebraic structures, with many interesting properties and theorems, where the symbolic 2-plithogenic structures are very similar in their algebraic properties to refined neutrosophic algebraic structures. The main goal of this article is to study the algebraic properties of symbolic 2-plithogenic matrices such as the computing on symbolic 2-plithogenic determinants, symbolic 2-plithogenic special values, and symbolic 2-plithogenic representations by linear functions. In addition, many examples will be presented and discussed in terms of theorems to clarify the validity of the content of this paper.



On The Symbolic 8 Plithogenic Matrices


On The Symbolic 8 Plithogenic Matrices
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Author : Khadija Ben Othman
language : un
Publisher: Infinite Study
Release Date : 2023-01-01

On The Symbolic 8 Plithogenic Matrices written by Khadija Ben Othman 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.


The main goal of this paper is to study the properties of symbolic 8-plithogenic matrices with real entries, where an algebraic view of their properties and relations will be presented and discussed. Also, we present many theorems that concern the computing of their eigenvalues and eigenvectors and their connection with classical ordinary matrices. Many related examples will be provided to clarify the validity of our work.



On The Algebraic Properties Of Symbolic N Plithogenic Matrices For N 5 N 6


On The Algebraic Properties Of Symbolic N Plithogenic Matrices For N 5 N 6
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Author :
language : un
Publisher: Infinite Study
Release Date : 2023-01-01

On The Algebraic Properties Of Symbolic N Plithogenic Matrices For N 5 N 6 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 2023-01-01 with Mathematics categories.


The main goal of this paper is to study the properties of symbolic 5-plithogenic matrices and symbolic 6-plithogenic matrices with real entries, where an algebraic view of their properties and relations will be presented and discussed. Also, we present many theorems that concern the computing of their eigenvalues and eigenvectors and their connection with classical ordinary matrices. Many related examples will be provided to clarify the validity of our work.



Vertex Cover In Neutrosophic Superhypergraphs


Vertex Cover In Neutrosophic Superhypergraphs
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Author : Dr. Henry Garrett
language : en
Publisher: Dr. Henry Garrett
Release Date : 2024-08-22

Vertex Cover In Neutrosophic Superhypergraphs written by Dr. Henry Garrett and has been published by Dr. Henry Garrett this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-08-22 with Mathematics categories.


[ADDRESSED CITATION] [HG209b] Henry Garrett, “Vertex Cover In Neutrosophic SuperHyperGraphs”. Dr. Henry Garrett, 2024 (doi: 10.5281/zenodo.13294466). In this scientific research book, there are some scientific research chapters on “Extreme Vertex Cover In Neutrosophic SuperHyperGraphs” and “Neutrosophic Vertex Cover In Neutrosophic SuperHyperGraphs” about some scientific researches on Vertex Cover In Neutrosophic SuperHyperGraphs by two (Extreme/Neutrosophic) notions, namely, Extreme Vertex Cover In Neutrosophic SuperHyperGraphs and Neutrosophic Vertex Cover In Neutrosophic SuperHyperGraphs. With scientific research on the basic scientific research properties, the scientific research book starts to make Extreme Vertex Cover In Neutrosophic SuperHyperGraphs theory and Neutrosophic Vertex Cover In Neutrosophic SuperHyperGraphs theory more (Extremely/Neutrosophicly) understandable. Some scientific studies and scientific researches about neutrosophic graphs, are proposed as book in the following by Henry Garrett (2022) which is indexed by Google Scholar and has more than 4048 readers in Scribd. It’s titled “Beyond Neutrosophic Graphs” and published by Ohio: E-publishing: Educational Publisher 1091 West 1st Ave Grandview Heights, Ohio 43212 United States. This research book covers different types of notions and settings in neutrosophic graph theory and neutrosophic SuperHyperGraph theory. [Ref] Henry Garrett, (2022). “Beyond Neutrosophic Graphs”, Ohio: E-publishing: Educational Publisher 1091 West 1st Ave Grandview Heights, Ohio 43212 United States. ISBN: 978-1-59973-725-6 (http://fs.unm.edu/BeyondNeutrosophicGraphs.pdf). Also, some scientific studies and scientific researches about neutrosophic graphs, are proposed as book in the following by Henry Garrett (2022) which is indexed by Google Scholar and has more than 5046 readers in Scribd. It’s titled “Neutrosophic Duality” and published by Florida: GLOBAL KNOWLEDGE - Publishing House 848 Brickell Ave Ste 950 Miami, Florida 33131 United States. This research book presents different types of notions SuperHyperResolving and SuperHyperDominating In Neutrosophic SuperHyperGraphs in the setting of duality in neutrosophic graph theory and neutrosophic SuperHyperGraph theory. This research book has scrutiny on the complement of the intended set and the intended set, simultaneously. It’s smart to consider a set but acting on its complement that what’s done in this research book which is popular in the terms of high readers in Scribd. [Ref] Henry Garrett, (2022). “Neutrosophic Duality”, Florida: GLOBAL KNOW- LEDGE - Publishing House 848 Brickell Ave Ste 950 Miami, Florida 33131 United States. ISBN: 978-1-59973-743-0 (http://fs.unm.edu/NeutrosophicDuality.pdf).