Answered: a) Define the string set S as follows:…

a) Define the string set S as follows: Basis step: abc ∈ S Recursive step: If x ∈ S, then axa ∈ S and bxb ∈ S and cxc ∈ S

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

a) Define the string set S as follows:
Basis step: abc ∈ S
Recursive step: If x ∈ S, then axa ∈ S and bxb ∈ S and cxc ∈ S
Using structural induction, prove that for each string x Î S, the length of the string is odd

b) Prove that any amount of postage worth 24 cents or more can be made from 7-cent
or 5-cent stamps

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