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•
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
please explain thoroughly thanks !

Transcribed Image Text: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•
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images

Recommended textbooks for you

Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated

Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY

Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated

Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY

Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,

