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Что (кто) такое axioms - определение
Найдено результатов: 140
Axioms (journal)
ACADEMIC JOURNAL PUBLISHED BY MDPI AG , COVERING THE SUBJECTS: SCIENCE: MATHEMATICS
Axioms is a peer-reviewed open access scientific journal that focuses on all aspects of mathematics, mathematical logic and mathematical physics. It was established in June 2012 and is published quarterly by MDPI.
Probability axioms
AXIOMS THAT ARE RELEVANT TO THE PROBABILITY THEORY
ProbabilityAxioms; Probability Axioms; Proability/Axioms; Probability/Axioms; Axioms of probability; Kolmogorov axioms; Probability axiom; Kolmogorov's axioms; Axiomatic theory of probability
The Kolmogorov axioms are the foundations of probability theory introduced by Russian mathematician Andrey Kolmogorov in 1933. These axioms remain central and have direct contributions to mathematics, the physical sciences, and real-world probability cases.
Peano axioms
AXIOMATIC SYSTEM FOR THE NATURAL NUMBERS
Peano postulates; Peanos axioms; Peano arithmetic; Peano Axioms; Peano's axioms; First order arithmetic; Arithmetic formula; Peano Arithmetic; Peano Postulate; Peano axiom; Peano numbers; Peano's postulates; Dedekind–Peano axioms; Dedekind-Peano axioms; Overspill (arithmetic); Consistency of the Peano axioms
In mathematical logic, the Peano axioms, also known as the Dedekind–Peano axioms or the Peano postulates, are axioms for the natural numbers presented by the 19th century Italian mathematician Giuseppe Peano. These axioms have been used nearly unchanged in a number of metamathematical investigations, including research into fundamental questions of whether number theory is consistent and complete.
Dirac–von Neumann axioms
FORMULATION OF QUANTUM MECHANICS ON A HILBERT SPACE
Dirac-von Neumann axioms; Axioms of quantum mechanics; Axioms for quantum mechanics; Quantum mechanics axioms
In mathematical physics, the Dirac–von Neumann axioms give a mathematical formulation of quantum mechanics in terms of operators on a Hilbert space. They were introduced by Paul Dirac in 1930 and John von Neumann in 1932.
Peano arithmetic
AXIOMATIC SYSTEM FOR THE NATURAL NUMBERS
Peano postulates; Peanos axioms; Peano arithmetic; Peano Axioms; Peano's axioms; First order arithmetic; Arithmetic formula; Peano Arithmetic; Peano Postulate; Peano axiom; Peano numbers; Peano's postulates; Dedekind–Peano axioms; Dedekind-Peano axioms; Overspill (arithmetic); Consistency of the Peano axioms
<mathematics> A system for representing natural numbers
inductively using only two symbols, "0" (zero) and "S"
(successor).
This could be expressed as a recursive data type with the
following Haskell definition:
data Peano = Zero | Succ Peano
The number three, usually written "SSS0", would be Succ (Succ
(Succ Zero)). Addition of Peano numbers can be expressed as a
simple syntactic transformation:
plus Zero n = n
plus (Succ m) n = Succ (plus m n)
(1995-03-28)
Axiomatically
STATEMENT THAT IS TAKEN TO BE TRUE
Postulate; Postulates; Axiomm; Fundamental postulates; Logical axiom; Postulation; Primitive sentence; Axiomatical; Axiomatically; Postulating; Postulated; Postulations; Mathematical assumption; Axiomatic; Philosophical law; Logical axioms; Mathematical axiom; Posit (word); Non-logical axioms; Axoims; Axioms
·adv By the use of axioms; in the form of an Axiom.
Armstrong's axioms
SET OF AXIOMS USED TO INFER ALL THE FUNCTIONAL DEPENDENCIES ON A RELATIONAL DATABASE
Armstrong axioms; Armstrong's Inference rules; Armstrong relation
Armstrong's axioms are a set of references (or, more precisely, inference rules) used to infer all the functional dependencies on a relational database. They were developed by William W.
Blum axioms
AXIOMS FOR COMPLEXITY MEASURE ON COMPUTABLE FUNCTIONS: FOR A GÖDEL NUMBERING Φᵢ OF COMPUTABLE FUNCTIONS AND A COMPUTABLE FUNCTION Φ ON ℕ VALUED IN THE COMPUTABLE FUNCTIONS, ① THE DOMAIN OF Φᵢ AND Φᵢ COINCIDE; ② THE SET {(I,X,T)|Φᵢ(X)=T
Blum complexity axioms; Blum complexity measure
In computational complexity theory the Blum axioms or Blum complexity axioms are axioms that specify desirable properties of complexity measures on the set of computable functions. The axioms were first defined by Manuel Blum in 1967.
Eilenberg–Steenrod axioms
PROPERTIES THAT HOMOLOGY THEORIES OF TOPOLOGICAL SPACES HAVE IN COMMON
Dimension axiom; Steenrod-Eilenberg Axioms; Steenrod-Eilenberg axioms; Eilenberg-Steenrod axioms; Homotopy axiom
In mathematics, specifically in algebraic topology, the Eilenberg–Steenrod axioms are properties that homology theories of topological spaces have in common. The quintessential example of a homology theory satisfying the axioms is singular homology, developed by Samuel Eilenberg and Norman Steenrod.
Hilbert's axioms
FORMAL SYSTEM
Archimedes' axiom; Archimedes's axiom; Archimedes' lemma; Archimedes' postulate; Hilbert's Axioms; Hilbert axioms; The Foundations of Geometry; Grundlagen der Geometrie; Hilbert's axiom; Hilbert's axiom system
Hilbert's axioms are a set of 20 assumptions proposed by David Hilbert in 1899 in his book Grundlagen der Geometrie (tr. The Foundations of Geometry) as the foundation for a modern treatment of Euclidean geometry.
