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单词 ExampleOfInfiniteHyperrealNumber
释义

example of infinite hyperreal number


The hyperreal number {n}n* is (or ).

Proof : Let be the nonprincipal ultrafilterPlanetmathPlanetmath in the entry (http://planetmath.org/Hyperreal).

Given any positive a we have that {n:na} is finite,so {n:a<n} and therefore {a}n<{n}n.

Thus {n}n is infiniteMathworldPlanetmath.

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更新时间:2025/5/4 5:49:33