a. Recall that the set Z of integers is the set of equivalence classes{[(, 6)] | a, 5 e N},where the equivalence relation v on the set N x Nis defined as(a, 6) ~ (e, d) = a+d = 6+efor any (a, b) , (c, d) eN x N so that the equivalence class of (a, b) is gives as[(a, 5)] = {(c, d) | (a, 5) ~ (6, d)} .For instance, 1 = [(1,0)] according to this notation of integers.Let * =[(28, 34)] , y = [(8, 44)] € Z. Find * + y and a y.*+ y =b. Recall that the set Q of integers is the set of equivalence classes{ [(a, b)] | a, b e Z, b # 0} ,where the equivalence relation = on the set Z x (Z- {0}) is defined as(a, b) = (c, d) e a • d = 6.cfor any (a, 6) , (e, d) e Z x (Z - {0}) so that the equivalence class of (a, b) is gives as[(a, 6)] = {(e, d) | (a, 6) = (e, d)}.For instance, 2 = [(2, 1)] according to this notation of rational numbers.Let g =[(36, 49)] ,r = [(-16, –15)] € Q. Find g+r and g - r.q+r =

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a. Recall that the set Z of integers is the set of equivalence classes {[(a, 6)] | a, 8 e N}, where the equivalence relation v on the set N x Nis defined as (a, b) ~ (c, d) A a+d = 6+ e for any (a, 5), (c, d) eN x N so that the equivalence class of (a, b) is gives as [(a, 6)] = {(e, d) | (a, 8) ~ (c, d)} . For instance, 1 = [(1,0)] according to this notation of integers. Let * = [(28, 34)] , y = [(8, 44)] € Z. Find a + y and a - y. * + y =

a. Recall that the set Z of integers is the set of equivalence classes {[(a, 6)] | a, 8 e N}, where the equivalence relation v on the set N x Nis defined as (a, b) ~ (c, d) A a+d = 6+ e for any (a, 5), (c, d) eN x N so that the equivalence class of (a, b) is gives as [(a, 6)] = {(e, d) | (a, 8) ~ (c, d)} . For instance, 1 = [(1,0)] according to this notation of integers. Let * = [(28, 34)] , y = [(8, 44)] € Z. Find a + y and a - y. * + y =

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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