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Indicate which of the following relations is an equivalence relation or is a partial order relation. (a) V x, yЄR (the set of real numbers), (b) V x, yЄN (the set of positive integers), x Sy = x² = 2. xy. + ak€N :y=xk. (select the correct answer) O (a) is an equivalence relations (b) is a partial order relation ○ (a) is a partial order relations (b) is an equivalence relation ○ (a) and (b) are equivalence relations ○ (a) and (b) are partial order relations

Indicate which of the following relations is an equivalence relation or is a partial order relation. (a) V x, yЄR (the set of real numbers), (b) V x, yЄN (the set of positive integers), x Sy = x² = 2. xy. + ak€N :y=xk. (select the correct answer) O (a) is an equivalence relations (b) is a partial order relation ○ (a) is a partial order relations (b) is an equivalence relation ○ (a) and (b) are equivalence relations ○ (a) and (b) are partial order relations

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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Indicate which of the following relations is an equivalence relation or is a partial order relation. (a) V x, yЄR (the set of real numbers), (b) V x, yЄN (the set of positive integers), x Sy = x² = 2. xy. + ak€N :y=xk. (select the correct answer) O (a) is an equivalence relations (b) is a partial order relation ○ (a) is a partial order relations (b) is an equivalence relation ○ (a) and (b) are equivalence relations ○ (a) and (b) are partial order relations
Transcribed Image Text:Indicate which of the following relations is an equivalence relation or is a partial order relation. (a) V x, yЄR (the set of real numbers), (b) V x, yЄN (the set of positive integers), x Sy = x² = 2. xy. + ak€N :y=xk. (select the correct answer) O (a) is an equivalence relations (b) is a partial order relation ○ (a) is a partial order relations (b) is an equivalence relation ○ (a) and (b) are equivalence relations ○ (a) and (b) are partial order relations
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