(Answer must be in your own hand-writing) % = [x] for all real x, then find g¯¹({−1,0,1}). 9669119-2024/07/2 (b) Let D be the relation defined on the set Z of integers such that for all m, nЄ Z, (m, n) Є D if and only if m²-n² is divisible by q, where q is a fixed positive integer. Prove that D is a transitive relation on Z. % 1107/2ve that

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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(Answer must be in your own hand-writing)
%
= [x] for all real x, then find g¯¹({−1,0,1}).
9669119-2024/07/2
(b) Let D be the relation defined on the set Z of integers such that for all
m, nЄ Z, (m, n) Є D if and only if m²-n² is divisible by q, where q is a fixed
positive integer. Prove that D is a transitive relation on Z.
%
1107/2ve that
Transcribed Image Text:(Answer must be in your own hand-writing) % = [x] for all real x, then find g¯¹({−1,0,1}). 9669119-2024/07/2 (b) Let D be the relation defined on the set Z of integers such that for all m, nЄ Z, (m, n) Є D if and only if m²-n² is divisible by q, where q is a fixed positive integer. Prove that D is a transitive relation on Z. % 1107/2ve that
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