Examples of using First-order in English and their translations into Vietnamese
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Colloquial
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Ecclesiastic
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Computer
active metabolite of 14-Hydroxydihydrocodeine, an uncommonly used opiate(but is therefore also an active metabolite of a first-order active metabolite of oxycodone).
The adjective"first-order" distinguishes first-order logic from higher-order logic in which there are predicates having predicates or functions as arguments, or in which one or both of predicate quantifiers or function quantifiers are permitted.[3]: 56 In first-order theories, predicates are often associated with sets.
In mathematical logic, a definable set is an n-ary relation on the domain of a structure whose elements are precisely those elements satisfying some formula in the first-order language of that structure. A set can be defined with or without parameters, which are elements of the domain that can be referenced in the formula defining the relation.
Turkey's major strategic goals in the Syrian civil war do not align with our own, since their first-order concerns are to prevent the Kurds from gaining strength to attack the Turkish state, and to protect Turkmen living in Syria.
Such a schema includes one axiom per predicate definable in the first-order language of Peano arithmetic, making it weaker than the second-order axiom.[8] The reason that it is weaker is that the number of predicates in first-order language is countable, whereas the number of sets of natural numbers is uncountable.
the compactness theorem implies that the existence of nonstandard elements cannot be excluded in first-order logic.[13] The upward Löwenheim- Skolem theorem shows that there are nonstandard models of PA of all infinite cardinalities.
First-order theory of arithmetic.
Structures and first-order logic.
Is not a sentence of first-order logic.
And the first-order condition becomes.
Many logics besides first-order logic are studied.
This leads to the first-order energy shift.
There are two key parts of first-order logic.
First-order axiomatizations of Peano arithmetic have another technical limitation.
Subject to the first-order dynamic constraints(the state equation).
Euler's method can be regarded as a first-order Runge-Kutta method.
This situation cannot be avoided with any first-order formalization of set theory.
In first-order logic, one can quantify over individuals, but not over properties.
Other classical logics[edit] Many logics besides first-order logic are studied.
Interestingly, experimental evidence indicates that this phase forms by a first-order transition.