Synonymes & Informations sur | Mot Anglaise COMPLETENESS

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Exemples d’utilisation de COMPLETENESS dans une phrase

• Gödel's completeness theorem is a fundamental theorem in mathematical logic that establishes a correspondence between semantic truth and syntactic provability in first-order logic.
• The proof of Gödel's completeness theorem given by Kurt Gödel in his doctoral dissertation of 1929 (and a shorter version of the proof, published as an article in 1930, titled "The completeness of the axioms of the functional calculus of logic" (in German)) is not easy to read today; it uses concepts and formalisms that are no longer used and terminology that is often obscure.
• Gödel's discoveries in the foundations of mathematics led to the proof of his completeness theorem in 1929 as part of his dissertation to earn a doctorate at the University of Vienna, and the publication of Gödel's incompleteness theorems two years later, in 1931.
• The completeness of the reals is often conveniently expressed as the least upper bound property (see below).
• In the mathematical field of topology, a uniform space is a set with additional structure that is used to define uniform properties, such as completeness, uniform continuity and uniform convergence.
• Other implementations (of varying quality and completeness) exist in GNU Hurd, MINIX 3, some BSD kernels, in MiNT, Haiku and as third-party Microsoft Windows and macOS (via FUSE) drivers.
• let Z be the set of all the subsets of the zero-μ-measure subsets of X (intuitively, those elements of Z that are not already in Σ are the ones preventing completeness from holding true);.
• The original Befunge-93 specification limited programs to an 80x25 grid, and while not Turing-complete, subsequent extensions like Funge-98 expanded the concept to achieve Turing completeness.
• The completeness of the propositional calculus was proved by Paul Bernays in 1918 and Emil Post in 1921, while the completeness of (first order) predicate calculus was proved by Kurt Gödel in 1930, and consistency proofs for arithmetics restricted with respect to the induction axiom schema were proved by Ackermann (1924), von Neumann (1927) and Herbrand (1931).
• A* (pronounced "A-star") is a graph traversal and pathfinding algorithm that is used in many fields of computer science due to its completeness, optimality, and optimal efficiency.
• Commissioning (disambiguation), a process or service provided to validate the completeness and accuracy of a project or venture.
• Hilbert's statement is sometimes misunderstood, because by the "arithmetical axioms" he did not mean a system equivalent to Peano arithmetic, but a stronger system with a second-order completeness axiom.
• The property of categoriality (categoricity) ensures the completeness of a system, however the converse is not true: Completeness does not ensure the categoriality (categoricity) of a system, since two models can differ in properties that cannot be expressed by the semantics of the system.
• Zamenhof, translated poetry and prose into the language as he was developing it as a test of its completeness and expressiveness, and published several translations and a short original poem as an appendix to the first book on the language, Unua Libro.
• In statistics, completeness is a property of a statistic computed on a sample dataset in relation to a parametric model of the dataset.
• The summa of Hostiensis became especially famous for "its concision, its completeness, and its 'golden' eloquence", which earned it the honorary name Summa aurea (Golden Summa).
• Consistency can be sacrificed to achieve completeness if simplicity is retained; especially worthless is consistency of interface.
• Isometries preserve Cauchy sequences; hence the completeness property of Hilbert spaces is preserved.
• Tennis experts cite her mental toughness, the completeness and variety of her game, her footspeed and footwork, and her one-handed backhand (which John McEnroe described as "the best single-handed backhand in both the women's or men's game") as the principal reasons for her success.
• In software development, a traceability matrix (TM) is a document, usually in the form of a table, used to assist in determining the completeness of a relationship by correlating any two baselined documents using a many-to-many relationship comparison.
• Some striking applications of ultraproducts include very elegant proofs of the compactness theorem and the completeness theorem, Keisler's ultrapower theorem, which gives an algebraic characterization of the semantic notion of elementary equivalence, and the Robinson–Zakon presentation of the use of superstructures and their monomorphisms to construct nonstandard models of analysis, leading to the growth of the area of nonstandard analysis, which was pioneered (as an application of the compactness theorem) by Abraham Robinson.
• In statistics, the Lehmann–Scheffé theorem is a prominent statement, tying together the ideas of completeness, sufficiency, uniqueness, and best unbiased estimation.
• The course did not go into metalogical results that established a relationship between the semantics and syntactics, and the issue of completeness was not addressed at all.
• Results in metalogic consist of such things as formal proofs demonstrating the consistency, completeness, and decidability of particular formal systems.
• Broadly speaking, Catholics have spoken of justification—which in their view initially occurs at baptism, partaking of the sacraments and the resulting grace of cooperation with God's will (sanctification)—as an organic whole: one act of reconciliation brought to completeness in glorification.

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