On the Concept of Symbolic 7-Plithogenic Real Matrices

On the Concept of Symbolic 7-Plithogenic Real Matrices
Author: Khadija Ben Othman
Publisher: Infinite Study
Total Pages: 6
Release: 2023-01-01
Genre: Mathematics
ISBN:
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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.

Introduction to Symbolic 2-Plithogenic Probability Theory

Introduction to Symbolic 2-Plithogenic Probability Theory
Author: Mohamed Bisher Zeina
Publisher: Infinite Study
Total Pages: 13
Release: 2023-01-01
Genre: Mathematics
ISBN:
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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.

On the Symbolic 8-Plithogenic Matrices

On the Symbolic 8-Plithogenic Matrices
Author: Khadija Ben Othman
Publisher: Infinite Study
Total Pages: 6
Release: 2023-01-01
Genre: Mathematics
ISBN:
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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 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
Author: Hamiyet Merkepçi
Publisher: Infinite Study
Total Pages: 14
Release: 2023-01-01
Genre: Mathematics
ISBN:
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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 an 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.

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
Author: P. Prabakaran
Publisher: Infinite Study
Total Pages: 13
Release: 2023-01-01
Genre: Mathematics
ISBN:
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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 Symbolic 2-Plithogenic Real Matrices and Their Algebraic Properties

On Symbolic 2-Plithogenic Real Matrices and Their Algebraic Properties
Author: Abuobida Mohammed A. Alfahal
Publisher: Infinite Study
Total Pages: 9
Release: 2023-01-01
Genre: Mathematics
ISBN:
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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 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
Author:
Publisher: Infinite Study
Total Pages: 10
Release: 2023-01-01
Genre: Mathematics
ISBN:
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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.

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
Author: Hamiyet Merkepçi
Publisher: Infinite Study
Total Pages: 14
Release: 2023-01-01
Genre: Mathematics
ISBN:
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Download On Novel Results about the Algebraic Properties of Symbolic 3-Plithogenic and 4-Plithogenic Real Square Matrices Book in PDF, Epub and Kindle

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.

Vertex Cover In Neutrosophic SuperHyperGraphs

Vertex Cover In Neutrosophic SuperHyperGraphs
Author: Dr. Henry Garrett
Publisher: Dr. Henry Garrett
Total Pages: 856
Release: 2024-08-22
Genre: Mathematics
ISBN:
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[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).

Dominating Sequence In Neutrosophic SuperHyperGraphs

Dominating Sequence In Neutrosophic SuperHyperGraphs
Author: Dr. Henry Garrett
Publisher: Dr. Henry Garrett
Total Pages: 694
Release: 2023-12-15
Genre: Mathematics
ISBN:
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[ADDRESSED CITATION] [HG195b] Henry Garrett, “Dominating Sequence In Neutrosophic SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.10042973). In this scientific research book, there are some scientific research chapters on “Extreme Dominating Sequence In Neutrosophic SuperHyperGraphs” and “Neutrosophic Dominating Sequence In Neutrosophic SuperHyperGraphs” about some scientific researches on Dominating Sequence In Neutrosophic SuperHyperGraphs by two (Extreme/Neutrosophic) notions, namely, Extreme Dominating Sequence In Neutrosophic SuperHyperGraphs and Neutrosophic Dominating Sequence In Neutrosophic SuperHyperGraphs. With scientific research on the basic scientific research properties, the scientific research book starts to make Extreme Dominating Sequence In Neutrosophic SuperHyperGraphs theory and Neutrosophic Dominating Sequence 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 3230 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 State. 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 4117 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 SuperHyperPerfect Search In 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). — — — 316 [HG316] Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph With Multipartite and Cycle By Dominating Sequence As Hyper Decoration On Super Density”, Zenodo 2023, (doi: 10.5281/zenodo.10263440). @ResearchGate: https://www.researchgate.net/publication/376230123 @Scribd: https://www.scribd.com/document/- @ZENODO_ORG: https://zenodo.org/record/10263440 @academia: https://www.academia.edu/110646753 — 316 [HG316] Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph With Multipartite and Cycle By Dominating Sequence As Hyper Decoration On Super Density”, Zenodo 2023, (doi: 10.5281/zenodo.10263440). @facebook: https://www.facebook.com/DrHenryGarrettNYC/posts/pfbid05MKoSp68f2E63VCLKZKjA49j9sMABTeRVSLwV4MxsT5qK6gZDo8ctEmhngEo1q86l PAGE @facebook: https://www.facebook.com/DrHenryGarrett/posts/pfbid036P7TpAMYVdbAMnLbKKssrbfeetMd7DmWXPEmSbfCup7qbx5TNmiR29KRZTZyDidl @LinkedIn: https://www.linkedin.com/feed/update/urn:li:ugcPost:7137860793093529600/ @instagram: https://www.instagram.com/p/C0ewc4iLT4A/ @X: https://x.com/DrHenryGarrettX/status/1732094549369999857?s=20 @X: https://x.com/DrHenryGarrettX/status/1732094791800721866?s=20 @X: https://x.com/DrHenryGarrettX/status/1732094837304786944?s=20 — — 317 [HG317] Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph With Bipartite and Path By Dominating Sequence As Hyper Decoration On Super Density”, Zenodo 2023, (doi: 10.5281/zenodo.10299535). @ResearchGate: https://www.researchgate.net/publication/376314727 @Scribd: https://www.scribd.com/document/- @ZENODO_ORG: https://zenodo.org/record/10299535 @academia: https://www.academia.edu/110872281 — 317 [HG317] Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph With Bipartite and Path By Dominating Sequence As Hyper Decoration On Super Density”, Zenodo 2023, (doi: 10.5281/zenodo.10299535). @facebook: https://www.facebook.com/DrHenryGarrettNYC/posts/pfbid036a6EZhMmNnMA8N1VNhygQfxShxw5SXfTAxBPFin4VKUUq7i7xQn5AJMhSQBVaYDfl PAGE @facebook: https://www.facebook.com/DrHenryGarrett/posts/pfbid0r7Mk6Rtnw19SmJvkvrdXsE3P1ZCXxgr87CTpkKHdyWjsNCCG2b37xPQwUafoRbf1l @LinkedIn: https://www.linkedin.com/feed/update/urn:li:ugcPost:7138824505182842881/ @Instagram: https://www.instagram.com/p/C0lmWzAKsUr/ @Twitter: https://x.com/DrHenryGarrettX/status/1733058108413366361?s=20 @Twitter: https://x.com/DrHenryGarrettX/status/1733058088381399323?s=20 @Twitter: https://x.com/DrHenryGarrettX/status/1733058015232741605?s=20 — — 318 [HG318] Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph With Star and Wheel By Dominating Sequence As Hyper Decoration On Super Density”, Zenodo 2023, (doi: 10.5281/zenodo.10371529). @ResearchGate: https://www.researchgate.net/publication/376477572 @Scribd: https://www.scribd.com/document/- @ZENODO_ORG: https://zenodo.org/record/10371529 @academia: https://www.academia.edu/111329570 — 318 [HG318] Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph With Star and Wheel By Dominating Sequence As Hyper Decoration On Super Density”, Zenodo 2023, (doi: 10.5281/zenodo.10371529). @facebook: https://www.facebook.com/DrHenryGarrettNYC/posts/pfbid02vVPDwjGKSduiP19fRrVfCbKYx28XWsdA9tZwbexd3EnG1CiW4Vk1xFeBfEnjroMjl PAGE @facebook: https://www.facebook.com/DrHenryGarrett/posts/pfbid02eHrDgBHCgH1G887Y9Hp37ZS2oXCW8me5b4gvedDn8Ew7z8JMy4Vm3unVX3GchNuUl @LinkedIn: https://www.linkedin.com/feed/update/urn:li:activity:7140980225345069056 @Instagram: https://www.instagram.com/p/C00616YMjnn/ @Twitter: https://x.com/DrHenryGarrettX/status/1735212500545650728?t=E9MfGi4pqOnpEE1FHUE9fg\&s=19 @Twitter: https://x.com/DrHenryGarrettX/status/1735213214353265094?t=UI\_LOXibEQRI3DR39nkanQ\&s=19 @Twitter: https://x.com/DrHenryGarrettX/status/1735213998692274638?t=t4DV1z7AdP6-L-M1u9aWFw\&s=19 — “Book #195” [ADDRESSED CITATION] [HG195b] Henry Garrett, “Dominating Sequence In Neutrosophic SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.10042973). @googlebooks:https://books.google.com/books/about?id=- @GooglePlay:https://play.google.com/store/books/details?id=- @ResearchGate: https://www.researchgate.net/publication/- @WordPress: https://drhenrygarrett.wordpress.com/2023/12/17/Dominating-Sequence-In-Neutrosophic-SuperHyperGraphs/ @Scribd: https://www.scribd.com/document/- @ZENODO_ORG: https://zenodo.org/record/10042973 @academia:https://www.academia.edu/- Project: Neutrosophic SuperHyperGraphs and SuperHyperGraphs -- Available at @WordPress @ResearchGate @Scribd @academia @ZENODO_ORG @Twitter @facebook @LinkedIn @Amazon @googlebooks @GooglePlay @AmazonKindle — — [HG195b] Henry Garrett, “Dominating Sequence In Neutrosophic SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.10042973). #Link (KE):https://www.amazon.com/dp/- (SC):https://www.amazon.com/dp/- (HC):https://www.amazon.com/dp/- #ISBN CC BY-NC-ND 4.0 - - Project: Neutrosophic SuperHyperGraphs and SuperHyperGraphs -- Available at @WordPress @ResearchGate @Scribd @academia @ZENODO_ORG @Twitter @facebook @LinkedIn @Amazon @googlebooks @GooglePlay @AmazonKindle — -- Available at @WordPress @ResearchGate @Scribd @academia @ZENODO_ORG @Twitter @facebook @LinkedIn @Amazon @googlebooks @GooglePlay @AmazonKindle —