3. Call a functionf:N N eventually nondecreasing if the set decr(f) = {n €N|S(n +1) < f(n)} is finite. Prove: If f : N - Nis computable and eventually nondecreasing, then range f is decidable. 3.
3. Call a functionf:N N eventually nondecreasing if the set decr(f) = {n €N|S(n +1) < f(n)} is finite. Prove: If f : N - Nis computable and eventually nondecreasing, then range f is decidable. 3.
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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3. Call a function f :N N eventually nondecreasing if the set
decr(f) = {n €N|s(n +1) < f(n)}
is finite. Prove: If f : N → N is computable and eventually nondecreasing, then range f is
decidable.
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