NeutroGeometry AntiGeometry are alternatives and generalizations of the Non Euclidean Geometries revisited is popular PDF and ePub book, written by Florentin Smarandache in 2021-10-01, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, NeutroGeometry AntiGeometry are alternatives and generalizations of the Non Euclidean Geometries revisited can be Read Online from any device for your convenience.
NeutroGeometry AntiGeometry are alternatives and generalizations of the Non Euclidean Geometries revisited Book PDF Summary
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.
Detail Book of NeutroGeometry AntiGeometry are alternatives and generalizations of the Non Euclidean Geometries revisited PDF
- Author : Florentin Smarandache
- Release : 01 October 2021
- Publisher : Infinite Study
- ISBN : 978186723xxxx
- Genre : Mathematics
- Total Page : 22 pages
- Language : English
- PDF File Size : 15,6 Mb
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