Neutrogeometry Antigeometry Are Alternatives And Generalizations Of The Non Euclidean Geometries
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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 Antigeometry Are Alternatives And Generalizations Of The Non Euclidean Geometries
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date :
Neutrogeometry Antigeometry Are Alternatives And Generalizations Of The Non Euclidean Geometries 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 Antiques & Collectibles categories.
In this paper we extend the NeutroAlgebra & AntiAlgebra to the geometric space, by founding the NeutroGeometry & AntiGeometry. While the Non-Euclidean Geometries resulted from the total negation of only one specific axiom (Euclid’s Fifth Postulate), the AntiGeometry results from the total negation of any axiom and even of more axioms from any geometric axiomatic system (Euclid’s, Hilbert’s, etc.), and the NeutroAxiom results from the partial negation of one or more axioms [and no total negation of no axiom] from any geometric axiomatic system. 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.
Neutrosophic Sets And Systems Vol 46 2021
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2021-10-19
Neutrosophic Sets And Systems Vol 46 2021 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 2021-10-19 with Antiques & Collectibles categories.
Papers on neutrosophic programming, neutrosophic hypersoft set, neutrosophic topological spaces, NeutroAlgebra, NeutroGeometry, AntiGeometry, NeutroNearRings, neutrosophic differential equations, etc.
Research On The Topics Of Neutrosophic Operations Research
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2023-08-10
Research On The Topics Of Neutrosophic Operations Research 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 2023-08-10 with Technology & Engineering categories.
In this volume, we present a set of research that was published in cooperation with a number of researchers and those interested in keeping pace with the great scientific development that our contemporary world is witnessing, and one of its products was neutrosophic science, which was founded by the American scientist and mathematical philosopher Florentin Smarandache in 1995. Through it, we present a new vision for some research methods. Operations research to the concepts of this science.
The Encyclopedia Of Neutrosophic Researchers 5th Volume
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2023-11-01
The Encyclopedia Of Neutrosophic Researchers 5th Volume 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 2023-11-01 with Reference categories.
Neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics, neutrosophic measure, neutrosophic precalculus, neutrosophic calculus and so on are gaining significant attention in solving many real life problems that involve uncertainty, impreciseness, vagueness, incompleteness, inconsistent, and indeterminacy. In the past years the fields of neutrosophics have been extended and applied in various fields, such as: artificial intelligence, data mining, soft computing, decision making in incomplete / indeterminate / inconsistent information systems, image processing, computational modelling, robotics, medical diagnosis, biomedical engineering, investment problems, economic forecasting, social science, humanistic and practical achievements. There are about 7,000 neutrosophic researchers, within 89 countries around the globe, that have produced about 4,000 publications and tenths of PhD and MSc theses, within more than two decades. This is the fifth volume of the Encyclopedia of Neutrosophic Researchers, edited from materials offered by the authors who responded to the editor’s invitation, with an introduction contains a short history of neutrosophics, together with links to the main papers and books.
Neutrosophic Sets And Systems Vol 49 2022
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2022-04-01
Neutrosophic Sets And Systems Vol 49 2022 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 2022-04-01 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
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.
A Tapestry Of Thought Smarandache S Contributions To Knowledge And Artistic Expression An Exploration Of Smarandache S World Where Science Meets Creativity
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Author : Dan Florin Lazăr
language : en
Publisher: Infinite Study
Release Date : 2024-12-10
A Tapestry Of Thought Smarandache S Contributions To Knowledge And Artistic Expression An Exploration Of Smarandache S World Where Science Meets Creativity written by Dan Florin Lazăr and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-10 with Biography & Autobiography categories.
This volume offers readers a brief yet enriching journey into the interdisciplinary realm of captivating ideas articulated by Florentin Smarandache throughout his career. More than five decades ago, Smarandache embarked on a remarkable scientific and cultural odyssey, challenging established boundaries and redefining the connection between diverse fields of knowledge and creativity. By blurring conventional lines, Smarandache’s work seamlessly bridges science, literature, art, and philosophy, creating a fusion that sparks innovation. His contributions stand at the intersection of exploration, where logic converges with imagination, and creativity propels new frontiers of thought. Smarandache’s work transcends traditional disciplines, composing a creative symphony of knowledge that resonates across a large spectrum of human understanding. From groundbreaking theories in mathematics and physics to bold contributions in literature and the arts, his endeavor exemplifies the power of interdisciplinary thinking. While this particular volume offers a glimpse into his multifaceted career, it is important to note that it does not fully capture the breadth of Smarandache’s contributions. This book honors Smarandache’s 70th anniversary, celebrating his vast and multifaceted achievements—a visionary whose ideas continue to push the boundaries of what is possible when deep scientific knowledge and boundless creativity converge.
Theory And Applications Of Neutroalgebras As Generalizations Of Classical Algebras
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Author : Smarandache, Florentin
language : en
Publisher: IGI Global
Release Date : 2022-04-15
Theory And Applications Of Neutroalgebras As Generalizations Of Classical Algebras 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 2022-04-15 with Mathematics categories.
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.
Nidus Idearum Scilogs Viii Painting By Numbers
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2022-04-01
Nidus Idearum Scilogs Viii Painting By Numbers 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 2022-04-01 with Science categories.
In this eighth book of scilogs collected from my nest of ideas, one may find new and old questions and solutions, – in email messages to research colleagues, or replies, and personal notes handwritten on the planes to, and from international conferences, about all kind of topics, centered mostly on Paradoxism and Neutrosophy. Exchanging ideas with: Robert Neil Boyd, Joseph Brenner, Ahmed Cevik, Victor Christianto, Adrian Curaj, Jean Dezert, Andrei-Lucian Drăgoi, Ervin Goldfain, Young Bae Jun, Yale Landsberg, Radu Munteanu, Paul Piștea, Viorel Roman, Ridvan Sahin, Said Broumi, Selcuk Topal, Eric W. Weisstein, Xiaohing Zhang.