example of infinite hyperreal number
The hyperreal number is (or ).
Proof : Let be the nonprincipal ultrafilter in the entry (http://planetmath.org/Hyperreal).
Given any positive we have that is finite,so and therefore .
Thus is infinite.
单词 | ExampleOfInfiniteHyperrealNumber |
释义 | example of infinite hyperreal numberThe hyperreal number is (or ). Proof : Let be the nonprincipal ultrafilter Given any positive we have that is finite,so and therefore . Thus is infinite |
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