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This website, in many languages, is dedicated to
Smarandache type functions,
sequences, numbers, transcendental numbers, primes, generalized palindromes,
constants, continued fractions, numeration bases, algorithms, criteria of primality and simultaneously primality, criteria of coprimality,
functional iterations, infinite products, k-factorials, relationships,
algebraic
structures, mixed non-Euclidean geometries,
NeutroGeometry & AntiGeometry and
Real
Examples of NeutroGeometry and AntiGeometry,
manifolds, NeutroAlgebra and AntiAlgebra,
NeutroTopology and AntiTopology, recreational sciences,
semantic paradoxes, tautologies, psychological tests and law on sensations and
stimuli, unmatter and unparticle, physics hypothesis that there is no speed barrier in the
universe,
Superluminal and Instantaneous
Physics, quantum and Sorites paradoxes,
multispace & multistructure, SC-potential, neutrosophy as a new branch of philosophy, neutrosophic logic,
neutrosophic set, neutrosophic probability and statistics, and
Neutrosophic Duplets,
Neutrosophic Triplets, their
extensions to plithogenic set, logic and
probability,
Advances of Standard and NonStandard Neutrosophic Theories,
Neutrosophic Theory of
Evolution,
Law of Included Multiple-Middle & Principle of Dynamic and
Law of Included Infinitely-Many-Middles,
Poly-Emporium
Theory, Dezert-Smarandache
Theory of plausible and paradoxist reasoning in information fusion,
pArAdOXisM,
oUTER-aRT, foundation of new types of topologies (Refined
Neutrosophic Topology, Refined Neutrosophic Crisp Topology, NeutroTopology,
AntiTopology, SuperHyperTopology, and Neutrosophic
SuperHyperTopology), foundation of new types of soft sets
(HyperSoft
Set, IndetermSoft Set, IndetermHyperSoft Set, SuperHyperSoft Set, TreeSoft Set),
Neutrosophic Genetics,
alpha-Discounting
MCDM Method,
SuperHyperAlgebra,
SuperHyperFunction &
SuperHyperTopology, SuperHyperGraph,
Thesis-AntiThesis-NeutroThesis,
Symbolic Plithogenic Algebraic Structures built on the set of
Symbolic Plithogenic Numbers of the form a0 + a1P1 + a2P2 +
... + anPn, etc.
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MATHEMATICS |
Algebra |
Geometries |
Multispace |
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Neutrosophic Environment |
Number Theory |
Statistics |
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Plithogenic Set
/ Logic / Probability / Statistics |
Extension of the Analytical
Hierarchy
Process (AHP)
to α-Discounting
Method
for Multi-Criteria Decision
Making (alpha-D MCDM)
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Neutrosophic Sets and
Systems (Scopus journal)
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Neutrosophic (and
fuzzy-extensions) TwoFold
Algebra
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Neutrosophic Operational Research
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Algebra, NeutroAlgebra, & AntiAlgebra |
Generalization of
the
classical
Algebraic Structures to
NeutroAlgebraic
Structures (or
NeutroAlgebras) {whose
operations and axioms are
partially true, partially
indeterminate,
and
partially
false} as
extensions of
Partial
Algebra,
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and to AntiAlgebraic
Structures (or
AntiAlgebras)
{whose
operations and
axioms
are totally
false}.
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In general, extention
of
any
classical Structure,
in no matter
what field
of knowledge,
to a
NeutroStructure and an
AntiStructure
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Geometry, NeutroGeometry, &
AntiGeometry |
As
alternatives and
generalizations of the
Non-Euclidean Geometries
we introduced the
NeutroGeometry &
AntiGeometry.
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The
NeutroGeometry
results
from the partial
negation of
one or more axioms [and
no total negation of other
axioms]
from any geometric
axiomatics systemd.
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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.).
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SuperHyperStructure and Neutrosophic
SuperHyperStructure |
SuperHyperAlgebra & Neutrosophic SuperHyperAlgebra
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SuperHyperFunction, SuperHyperTopology
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SuperHyperGraph
and
Neutrosophic
SuperHyperGraph
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NEW
TYPES OF SOFT SETS |
HyperSoft Set
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IndetermSoft Set,
IndetermHyperSoft Set, TreeSoft Set |
SuperHyperSoft Set
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REVOLUTIONARY TOPOLOGIES |
NonStandard Topology, Largest Extended NonStandard Real
Topology, Neutrosophic Triplet Weak/Strong Topologies, Neutrosophic Extended
Triplet |
Weak/Strong Topologies, Neutrosophic Duplet Topology, Neutrosophic
Extended Duplet Topology, Neutrosophic MultiSet Topology, NonStandard
Neutrosophic Topology |
NeutroTopology, AntiTopology, Refined Neutrosophic
Topology, Refined Neutrosophic Crisp Topology, SuperHyperTopology, and
Neutrosophic SuperHyperTopology |
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Development of Neutrosophic Statistics (indeterminacy is introduced into
classical statistics with respect to any data regarding the sample / population,
probability distributions / laws / graphs / charts etc., with respect to
the individuals that only partially belong to a sample / population, and so on):
https://fs.unm.edu/NS/NeutrosophicStatistics.htm
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Appurtenance Equation, Inclusion Equation,
& Neutrosophic Numbers used in Neutrosophic
Statistic |
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PHILOSOPHY
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Neutrosophy, a
new branch of philosophy |
Law of Included Multiple-Middle & Principle of Dynamic Neutrosophic
Opposition |
Zarathustra &
Neutrosophy |
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MultiAlist System of Though |
Law of Included
Infinitely-Many-Middles
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Upside-Down Logics: Falsification
of the Truth & Truthification of the False |
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PHYSICS |
Absolute Theory of Relativity |
Quantum Paradoxes |
Unmatter |
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Neutrosophic Physics |
Superluminal and Instantaneous
Physics |
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BIOLOGY
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Neutrosophic Theory of
Evolution |
Syndrome |
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ECONOMICS |
Poly-Emporium Theory |
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LINGUISTICS |
Linguistic Paradoxes |
Linguistic Tautologies |
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PSYCHOLOGY |
Neutropsychic Personality |
Illusion |
Law on Sensations and Stimuli |
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Synonymity
Test |
Complex |
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SOCIOLOGY |
Neutrosociology |
Sociological
Theory |
Social
Paradox |
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LITERATURE |
pArAdOXisM |
oUTER-aRT |
Theatre |
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Literatura Romana |
Bancuri |
Travel
Memories |
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Science
Library |
Literature
Library |
GlobeTrekker
| Videos |
Biography |
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photos, videos, and other materials from this website are licensed under a
Creative Common
Attribute 4.0 International License,
which permits
unrestricted use, distribution, and reproduction in any medium, provided the
original work is properly cited.
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