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2. Connider mine N. he dente by ged (min) , the grentist cmmmon din'aor mitance , ged (2,5)=1 * m,n. Fn sinu the di'u'sero oo 2 are 2 and 1 while the diu'sors o are 5 and 1. len the wther hand sinu the din'sano are 1,2,4,8 while the divisomo of 1, 2, 3,4, then 12 are ged l B,12) = 4. Let A>{ (m,n) e N xN / ged (min) =1}, and deyie the relatin p m A uuing the mle la,b)p Ccid) ig and mly ij ad s bc. CHne s và the umal less than n Gual to"rilatinń.) Prone that ù a trtally andred net.

2. Connider mine N. he dente by ged (min) , the grentist cmmmon din'aor mitance , ged (2,5)=1 * m,n. Fn sinu the di'u'sero oo 2 are 2 and 1 while the diu'sors o are 5 and 1. len the wther hand sinu the din'sano are 1,2,4,8 while the divisomo of 1, 2, 3,4, then 12 are ged l B,12) = 4. Let A>{ (m,n) e N xN / ged (min) =1}, and deyie the relatin p m A uuing the mle la,b)p Ccid) ig and mly ij ad s bc. CHne s và the umal less than n Gual to"rilatinń.) Prone that ù a trtally andred net.

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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2. Connider m,ne N. he dente by ged Cmin), the grenteat Common din'a , * m,n. Fon sinu the di'u'sero mitance gcd (2,5)=1 * 2 are 2 and 1 uhile the din'sons of 5 and 1. len the ather hand sinu the are din'sers 1,2,4,8 mhile the 8 are divisono of 1,2, 3, 4,6 , then 12 are (8,12) = 4. het A>{ (m.n) e N x N | ged (min)=1} , T: and deyie the relatin p m A urung the mle ad s bc. Ca,b)p Cc,d) CHne s vi the usual Less than or sual to relatin .) and only g Gual to' Prone that <A,e> ù a totally andred ret.
Transcribed Image Text:2. Connider m,ne N. he dente by ged Cmin), the grenteat Common din'a , * m,n. Fon sinu the di'u'sero mitance gcd (2,5)=1 * 2 are 2 and 1 uhile the din'sons of 5 and 1. len the ather hand sinu the are din'sers 1,2,4,8 mhile the 8 are divisono of 1,2, 3, 4,6 , then 12 are (8,12) = 4. het A>{ (m.n) e N x N | ged (min)=1} , T: and deyie the relatin p m A urung the mle ad s bc. Ca,b)p Cc,d) CHne s vi the usual Less than or sual to relatin .) and only g Gual to' Prone that <A,e> ù a totally andred ret.
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