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2n if m = 0 O if m > 1 and n = 0 2 if m > 1 and n = 1 A(m – 1, A(m, n – 1)) if m > 1 and n > 2 А(т, п) — Find the following values of the Ackermann's function: A(1,2) = А(0, 3) — А(3, 2) 3 А(0, 1) — A(1, 1) = А(3, 3) 3

2n if m = 0 O if m > 1 and n = 0 2 if m > 1 and n = 1 A(m – 1, A(m, n – 1)) if m > 1 and n > 2 А(т, п) — Find the following values of the Ackermann's function: A(1,2) = А(0, 3) — А(3, 2) 3 А(0, 1) — A(1, 1) = А(3, 3) 3

Advanced Engineering Mathematics
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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 Consider the following inductive definition of a version of Ackermann's function: 

 

2n if m = 0 O if m > 1 and n = 2 if m > 1 and n = A(m – 1, A(m, n – 1)) if m > 1 and n > 2 А(т, п) = 1 Find the following values of the Ackermann's function: A(1,2) = A(0, 3) = А(3, 2) — A(0, 1) = A(1, 1) = А(3, 3) 3
Transcribed Image Text:2n if m = 0 O if m > 1 and n = 2 if m > 1 and n = A(m – 1, A(m, n – 1)) if m > 1 and n > 2 А(т, п) = 1 Find the following values of the Ackermann's function: A(1,2) = A(0, 3) = А(3, 2) — A(0, 1) = A(1, 1) = А(3, 3) 3
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