Smarandache Geometries Or Hybrids
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Smarandache Geometries Or Hybrids
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Author : Ion Pătrașcu
language : en
Publisher: Infinite Study
Release Date : 2023-01-01
Smarandache Geometries Or Hybrids written by Ion Pătrașcu 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.
An axiom is said to be smarandachely negated if in the same space the axiom behaves differently (ie, validated and invalidated; or only invalidated, but in at least two distinct ways). Therefore, we say that an axiom is partially negated or there is a degree of negation of an axiom. A Smarandache geometry (or hybrid geometry) is a geometry that has at least one axiom negated in two different ways (1969). Thus, as a particular case, the Euclidean, Lobachevsky-Bolyai-Gaussian and Riemannian geometries can be joined altogether, in the same space, by some Smarandache geometries. These latter geometries can be partly Euclidean and partly non-Euclidean. A (classical) Geometry structure has all axioms completely (100%) true. A NeutroGeometry structure has some axioms that are only partially true, partially indeterminate, and partially false (and no axiom is totally (100%) false to distinguish it from AntiGeometry). Whereas an AntiGeometry structure has at least one axiom that is totally (100%) false.
An Introduction To The Smarandache Geometries
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Author : L. Kuciuk and M. Antholy
language : en
Publisher: Infinite Study
Release Date :
An Introduction To The Smarandache Geometries written by L. Kuciuk and M. Antholy 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 categories.
In this paper we make a presentation of these exciting geometries and present a model for a particular one. An axiom is said Smarandachely denied if the axiom behaves in at least two different ways within the same space (i.e., validated and invalided, or only invalidated but in multiple distinct ways). A Smarandache Geometry is a geometry which has at least one Smarandachely denied axiom (1969).
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
Automorphism Groups Of Maps Surfaces And Smarandache Geometries Second Edition Graduate Text Book In Mathematics
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Author : Linfan Mao
language : en
Publisher: Infinite Study
Release Date : 2011
Automorphism Groups Of Maps Surfaces And Smarandache Geometries Second Edition Graduate Text Book In Mathematics written by Linfan Mao and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Automorphisms categories.
Smarandache Notions Journal Vol 13
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Author : Jack Allen
language : en
Publisher: Infinite Study
Release Date : 2002-12-01
Smarandache Notions Journal Vol 13 written by Jack Allen and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-12-01 with Mathematics categories.
The books are published by Smarandache Notions Journal. It is an electronic and hard-copy journal of research in mathematics. Besides this, occasionally It publishes papers of research in physics, philosophy, literary essays and creation, linguistics, and art work. Initially the journal was called "Smarandache Function Journal". Since 1996 to present the original journal was extended to the "Smarandache Notions Journal". It is annually published in the United States by the American Research Press in 1000 copies and on the internet.
Proceedings Of The First International Conference On Smarandache Multispace Multistructure
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Author : Linfan Mao
language : en
Publisher: Infinite Study
Release Date :
Proceedings Of The First International Conference On Smarandache Multispace Multistructure written by Linfan Mao 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 categories.
Neutrogeometry Antigeometry Are Alternatives And Generalizations Of The Non Euclidean Geometries Revisited
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2021-10-01
Neutrogeometry Antigeometry Are Alternatives And Generalizations Of The Non Euclidean Geometries 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 2021-10-01 with Mathematics categories.
In this paper we extend the NeutroAlgebra & AntiAlgebra to the geometric spaces, by founding the NeutroGeometry & AntiGeometry. While the Non-Euclidean Geometries resulted from the total negation of one specific axiom (Euclid’s Fifth Postulate), the AntiGeometry results from the total negation of any axiom or even of more axioms from any geometric axiomatic system (Euclid’s, Hilbert’s, etc.) and from any type of geometry such as (Euclidean, Projective, Finite, Affine, Differential, Algebraic, Complex, Discrete, Computational, Molecular, Convex, etc.) Geometry, and the NeutroGeometry results from the partial negation of one or more axioms [and no total negation of no axiom] from any geometric axiomatic system and from any type of geometry. Generally, instead of a classical geometric Axiom, one may take any classical geometric Theorem from any axiomatic system and from any type of geometry, and transform it by NeutroSophication or AntiSophication into a NeutroTheorem or AntiTheorem respectively in order to construct a NeutroGeometry or AntiGeometry. Therefore, the NeutroGeometry and AntiGeometry are respectively alternatives and generalizations of the Non-Euclidean Geometries. In the second part, we recall the evolution from Paradoxism to Neutrosophy, then to NeutroAlgebra & AntiAlgebra, afterwards to NeutroGeometry & AntiGeometry, and in general to NeutroStructure & AntiStructure that naturally arise in any field of knowledge. At the end, we present applications of many NeutroStructures in our real world.
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.
Nidus Idearum Scilogs Xi In Turns And Out Turns
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2023-05-31
Nidus Idearum Scilogs Xi In Turns And Out Turns 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 2023-05-31 with Mathematics categories.
In this eleventh book of scilogs – called in-turns and out-turns –, one may find new and old questions and solutions, referring mostly to topics on Neutrosophy, but also Multispace, with miscellaneous addition of topics on Physics, Mathematics, or Sociology – email messages to research colleagues, or replies, notes about authors, articles, or books, spontaneous ideas, and so on. Exchanging ideas with Prem Kumar Singh, Feng Liu, Nicolae Bălașa, Jimmy Quellet, Minodora Rușchița, Frank Gelli, A. R. Vătuiu, Victor Christianto, Vladimir I. Rogozhin, Robert Neil Boyd, Akira Kanda, Stefan Spaarmann, Oliver Consa, Yabin Shao, Junle Zhuo, Nivetha Martin, Said Broumi, Jean Dezert, Erick González, Tomasz Witczak, B. De Baets, I. Couso, D. Dubois, L. Good, Mihaela Colhon, Atiqe Ur Rahman, Muhammad Saeed, Muhammad Ihsan, Edeline Nancy, Shawkat Alkhazaleh, Shazia Rana, Vasantha Kandasamy, Santanu Acharjee, Mohamed Al-Shmrani, Parimala Manie, Mehmet Unver, Murat Olgun, Adel Aleidhri, Akira Kanda, Ilanthenral Kandasamy, Mircea Zărnescu, R. Tayebi Khorami, Arsham Borumand Saeid, Maisam Jdid, M. Abobala, Riad Hamido, Rafael Rojas, Esmaeil Zarei, Faisal Khan, Rouzbeh Abbassi, Adel Al-Odhari, Henry Garrett, Ackbar Rezaei, Saeid Jafari, Karthika Muthusamy, Harish Garg, Huda E. Khalid, Gonca D. Güngör, Muslim A. Noah Zainal, Fakhry Asad Agusfrianto, Madeleine Al-Tahan, Mariam Hariri, Yudi Mahatma, Masoud Ghods, Marco Brigliadori, Luis Enrique Aponte Pérez, Amr Mohammed, M. Aslam (in order of reference in the book).
The Smarandache Geometries
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Author : Charles Ashbacher
language : en
Publisher:
Release Date : 1996-04-01
The Smarandache Geometries written by Charles Ashbacher and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-04-01 with categories.