Sentence examples for functions-as-sets from high-quality English sources.

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  Wenar (2005) abandons the idea that all rights have any single function, and sets out a “several functions” theory on which rights perform six distinct functions.

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  On such theories, events are construed as sets of functions from spatiotemporal locations to “situation types” defined as sequences of objects standing or failing to stand in a certain relation.

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  The Curry-Howard correspondence, from a paper by William Howard of 1969, but published only in 1980, is based on the “formulas-as-types” principle, or in another jargon, on the “propositions-as-sets” principle.

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  With the conceptual framework now in place, Section 3.1 sets out the “conditions” or constraints that Arrow imposed on social welfare functions, and Section 3.2 states the theorem itself.

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  In time, being a parent inures you to all sorts of bodily fluids and functions.

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  Read more about these character sets in the data representation study guide.

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  Existence can be formalized as ‘∃xMx’, where ‘Mx’ abbreviates the predicate ‘x is a mathematical object’ which is true of all and only the objects studied by pure mathematics, such as numbers, sets, and functions.

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  The printers also rely on " robotic automation " and robotic arms, the latter for functions like quality control scans, Ruben told Insider in an email interview.

Use functions-as-sets in a sentence.

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  Nonalgebraic functions, such as exponential and trigonometric functions, are also known as transcendental functions.

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  This argument shows that collections of sets of atoms need not necessarily have choice functions, but it fails to establish the same fact for the “usual” sets of mathematics, for example the set of real numbers.

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  In addition to providing clearly labeled media keys, the VA87M allows you to customize a couple of functions, but it isn’t fully programmable.

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  This Axiom can be seen as a strong form of the extensionality principle.

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  Computability Theory is a subfield of contemporary mathematical logic devoted to the classification of functions and sets of natural numbers in terms of their absolute and relative computability and definability-theoretic properties.

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  The most popular conceptions of unstructured propositions are those that take them to be either sets of possible worlds or functions from possible worlds to truth-values (Lewis 1986a, 53; Stalnaker 1987, 2).

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  On a reductionist view, mathematics is taken at logico-grammatical face value but its objects (numbers, functions, sets, etc.) are taken to be spatiotemporal.

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  It is often likened to the consistency constraint on sets of full beliefs.

functions-as-sets sentence examples

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  This includes the axiom systems describing the category of sets and functions, on the one hand, and the category of categories, on the other hand, as first presented in Lawvere (1964, 1966).

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  The middle grade of adult males do more difficult tasks, such as roofing houses, and perform executive functions for the village council, which consists of the oldest age grade.

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  Derivatively, bits of languages may be used by humans to control machinery, as when different buttons and switches are marked with words or phrases designating their functions.

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  And because individuals are worldbound, Lewis is able to simplify the definitions given in §1.3 by defining intensions as sets rather than functions: