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(A, R) and (BiS) two sets partially given. We define on the product Ax B a relation T by: (a,b) T (cid) only if la Rc) and 6 Sd a) show that T is a partial order relation. b) Is Ax B total if A and B are? Justify your ans wer a detailed proof or by a counter example corith. using la brief explination

(A, R) and (BiS) two sets partially given. We define on the product Ax B a relation T by: (a,b) T (cid) only if la Rc) and 6 Sd a) show that T is a partial order relation. b) Is Ax B total if A and B are? Justify your ans wer a detailed proof or by a counter example corith. using la brief explination

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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(A,R) and (BiS) two sets partially given- We define on the product Ax B a relationI by: (a,b) T (cid) only if (a R c) and 6 Sd a) show that T is partial order relation b) Is Ax Bß total if Aand B are?Justify your ans wer a detailed proof or by a counter example corith. using la brief explination
Transcribed Image Text:(A,R) and (BiS) two sets partially given- We define on the product Ax B a relationI by: (a,b) T (cid) only if (a R c) and 6 Sd a) show that T is partial order relation b) Is Ax Bß total if Aand B are?Justify your ans wer a detailed proof or by a counter example corith. using la brief explination
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