Show that the set of all finite sequences of positive integers is count- able. Such a sequence looks like 43, 1,978624, 591. This is equivalent to the claim made in lecture that the set of finite strings over an infinite alphabet {a1,a2,...} is countable, since we can identify the sequence above with the string a43AjA978624a591•
Show that the set of all finite sequences of positive integers is count- able. Such a sequence looks like 43, 1,978624, 591. This is equivalent to the claim made in lecture that the set of finite strings over an infinite alphabet {a1,a2,...} is countable, since we can identify the sequence above with the string a43AjA978624a591•
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter11: Rational And Irrational Numbers
Section11.8: Adding And Subtracting Radicals
Problem 5E
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