Nonlinear Dynamics and Chaos
Nonlinear Dynamics and Chaos
2nd Edition
ISBN: 9780813349107
Author: Steven H. Strogatz
Publisher: PERSEUS D
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Chapter 11.2, Problem 4E
Interpretation Introduction

Interpretation:

To find the measure of the set of irrational numbers between 0 and 1.

If it is countable or uncountable is to be found.

If it is fully disconnected is to be found.

If it contains any isolated points is to be found.

Concept Introduction:

  • The rational numbers between 0 and 1 have the measure 0.

  • The real numbers are uncountable.

  • A totally disconnected set means the set of irrational numbers does not contain any intervals.

  • The isolated points are defined for a countable set.

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