6. While the Small Monster collector, researcher, ecclesiastical historian and tournament spectator was busy with marmosets, we showed in class that we can an assign an integer order to the members of an infinite two-dimensional array; and thus, that infinite two-dimensional arrays are countable, and can be re-ordered as infinite one-dimensional arrays. Using that result, prove by induction that for any positive integer n, an infinite n-dimensional array is countable.

6. While the Small Monster collector, researcher, ecclesiastical historian and tournament spectator was busy with marmosets, we showed in class that we can an assign an integer order to the members of an infinite two-dimensional array; and thus, that infinite two-dimensional arrays are countable, and can be re-ordered as infinite one-dimensional arrays. Using that result, prove by induction that for any positive integer n, an infinite n-dimensional array is countable.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 16T

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