 
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, kfactorials, relationships,
algebraic
structures, mixed nonEuclidean 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, SCpotential, 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 MultipleMiddle & Principle of Dynamic and
Law of Included InfinitelyManyMiddles,
PolyEmporium
Theory, DezertSmarandache
Theory of plausible and paradoxist reasoning in information fusion,
pArAdOXisM,
oUTERaRT, 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,
alphaDiscounting
MCDM Method,
SuperHyperAlgebra,
SuperHyperFunction &
SuperHyperTopology, SuperHyperGraph,
ThesisAntiThesisNeutroThesis,
Symbolic Plithogenic Algebraic Structures built on the set of
Symbolic Plithogenic Numbers of the form a_{0} + a_{1}P_{1} + a_{2}P_{2} +
... + a_{n}P_{n},_{ }etc.
MATHEMATICS 
Algebra 
Geometries 
Multispace 

Neutrosophic Environment 
Number Theory 
Statistics 

Plithogenic Set
/ Logic / Probability / Statistics 
Extension of the Analytical
Hierarchy
Process (AHP)
to αDiscounting
Method
for MultiCriteria Decision
Making (alphaD MCDM)

Neutrosophic Sets and
Systems (Scopus journal)


Neutrosophic (and
fuzzyextensions) TwoFold
Algebra

Neutrosophic Operational Research


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,

and to AntiAlgebraic
Structures (or
AntiAlgebras)
{whose
operations and
axioms
are totally
false}.

In general, extention
of
any
classical Structure,
in no matter
what field
of knowledge,
to a
NeutroStructure and an
AntiStructure

Geometry, NeutroGeometry, &
AntiGeometry 
As
alternatives and
generalizations of the
NonEuclidean Geometries
we introduced the
NeutroGeometry &
AntiGeometry.

The
NeutroGeometry
results
from the partial
negation of
one or more axioms [and
no total negation of other
axioms]
from any geometric
axiomatics systemd.

While
the NonEuclidean
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.).

SuperHyperStructure and Neutrosophic
SuperHyperStructure 
SuperHyperAlgebra & Neutrosophic SuperHyperAlgebra

SuperHyperFunction, SuperHyperTopology

SuperHyperGraph
and
Neutrosophic
SuperHyperGraph

NEW
TYPES OF SOFT SETS 
HyperSoft Set

IndetermSoft Set,
IndetermHyperSoft Set, TreeSoft Set 
SuperHyperSoft Set

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 

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

Appurtenance Equation, Inclusion Equation, & Neutrosophic Numbers used in Neutrosophic
Statistic 

PHILOSOPHY

Neutrosophy, a
new branch of philosophy 
Law of Included MultipleMiddle & Principle of Dynamic Neutrosophic
Opposition 
Zarathustra &
Neutrosophy 

MultiAlist System of Though 
Law of Included
InfinitelyManyMiddles

UpsideDown Logics: Falsification
of the Truth & Truthification of the False 
PHYSICS 
Absolute Theory of Relativity 
Quantum Paradoxes 
Unmatter 

Neutrosophic Physics 
Superluminal and Instantaneous
Physics 

BIOLOGY

Neutrosophic Theory of
Evolution 
Syndrome 

ECONOMICS 
PolyEmporium Theory 


LINGUISTICS 
Linguistic Paradoxes 
Linguistic Tautologies 

PSYCHOLOGY 
Neutropsychic Personality 
Illusion 
Law on Sensations and Stimuli 

Synonymity
Test 
Complex 

SOCIOLOGY 
Neutrosociology 
Sociological
Theory 
Social
Paradox 
LITERATURE 
pArAdOXisM 
oUTERaRT 
Theatre 

Literatura Romana 
Bancuri 
Travel
Memories 
Science
Library 
Literature
Library 
GlobeTrekker
 Videos 
Biography 
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original work is properly cited.
 
