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Translations for „natural numbers“ in the English » Arabic Dictionary (Go to Arabic » English)

Monolingual examples (not verified by PONS Editors)

English
This result gives a precise meaning to the notion that the set of natural numbers constitutes a universal library and indeed a universal data base.
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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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An example is denoting the set of natural numbers (for which one notation described above is) by.
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Note that this way of representing integers corresponds to the set-theoretic (or foundational) construction of the integers as ordered pairs of natural numbers.
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For another example, consider again the relation on natural numbers.
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These two properties imply that a reducibility is a preorder on the powerset of the natural numbers.
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For example, consider the natural numbers with addition as the operation.
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It uses a subset of the natural numbers instead of finite strings of symbols.
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It can be shown that for finite cardinals these operations coincide with the usual operations for natural numbers.
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Usually, a text based on natural numbers (for example, the article prime number) does not specify the used definition of natural numbers.
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