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Translations for „power set“ in the English » German Dictionary (Go to German » English)

ˈpow·er set N MATH

Monolingual examples (not verified by PONS Editors)

English
A scientist states that the powers-that-be are very interested in his power set.
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The theory of evidence assigns a belief mass to each element of the power set.
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The power set of an infinite (either countable or uncountable) set is always uncountable.
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This defines a premetric on the power set of a premetric space.
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As an example, let denote the natural numbers (without zero), the power set of, and the counting measure.
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For example, the power set of some set, partially ordered by set inclusion, is a filter.
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Given a cardinal number, it is the cardinality of the power set of a set of the given cardinality.
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Note that this -algebra is not, in general, the whole power set.
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In particular, the power set of a countably infinite set is uncountably infinite.
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An example of this is the power set operation.
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