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10 Nov 2019
Given sets A = {a, b, c, d, e}, and B = {1, 3, 5}, answer the following: (a) Show a smallest relation that is both reflexive and symmetric, B^R_B. (b) Show a non-empty, partial function, A^RB. (c) Show a complete function, A^R_B, that does not cover B. (d) Show a complete, 1-to-1 function B^RA. (e) Show a relation, A^RA, that is not transitive, and show why it is not transitive. Let R be the set of all rectangles. Show t the area of a rectangle imposes an equivalence relation on R. Does the previous problem show that all rectangles having the same area are equivalent?
Given sets A = {a, b, c, d, e}, and B = {1, 3, 5}, answer the following: (a) Show a smallest relation that is both reflexive and symmetric, B^R_B. (b) Show a non-empty, partial function, A^RB. (c) Show a complete function, A^R_B, that does not cover B. (d) Show a complete, 1-to-1 function B^RA. (e) Show a relation, A^RA, that is not transitive, and show why it is not transitive. Let R be the set of all rectangles. Show t the area of a rectangle imposes an equivalence relation on R. Does the previous problem show that all rectangles having the same area are equivalent?
Collen VonLv2
31 May 2019
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