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Translations for „axiom“ in the English » Polish Dictionary (Go to Polish » English)

axiom [ˈæksiəm] N

1. axiom form:

axiom
pewnik m

2. axiom MATH:

axiom

Monolingual examples (not verified by PONS Editors)

English
Induction axioms are also implicit, and are needed only to prove program properties.
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These axioms provide complete syntactic definitions of the conjunction and disjunction operators.
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His proofs often invoke axiomatic notions which were not originally presented in his list of axioms.
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Further axioms lead to an "n" -ary group.
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He proved the independence of some of his axioms by constructing models of geometries which satisfy all except the one axiom under consideration.
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If this association of meanings makes the axioms of the system true statements, then the interpretation is called a model of the system.
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The set of axioms is often finite or recursively enumerable, in which case the theory is called effective.
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Some of the most frequent axioms used in the building of bargaining solutions are efficiency, symmetry, independence of irrelevant alternatives, scalar invariance, monotonicity, etc.
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Axioms 2, 3 and 4 can be summarized by saying that positive properties form a principal ultrafilter.
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Accepting only the axiom schema of specification was the beginning of axiomatic set theory.
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