(b) D = the set of positive integers R= {R1, R2} R1 = the arithmetic predicate = “x equals y" R2 = {[4]} p maps to R1 and q maps to R2
(b) D = the set of positive integers R= {R1, R2} R1 = the arithmetic predicate = “x equals y" R2 = {[4]} p maps to R1 and q maps to R2
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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Question
![(b) D = the set of positive integers
R = {R1, R2}
R1 = the arithmetic predicate = "x equals y"
R2 = {[4]}
p maps to R1 and q maps to R2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F915aced1-4dd8-461c-8bbb-113909ad5fd4%2F84a6f6d8-604f-417e-8701-67ee39a8bf7b%2Fjfeyoxf_processed.png&w=3840&q=75)
Transcribed Image Text:(b) D = the set of positive integers
R = {R1, R2}
R1 = the arithmetic predicate = "x equals y"
R2 = {[4]}
p maps to R1 and q maps to R2
![Consider the formula C = 3xVy.p(x,y) → q(y). For each of the following
interpretations, determine if the interpretation is a model of C. If it is a model, show that it
is. If it is not a model, show that it is not.
(a) D = the set of positive integers
R = {R1, R2}
R1 = {[1,3], [3,4], [2,3]}
R2 = {[1], [2], [3], [4]}
p maps to R1 and q maps to R2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F915aced1-4dd8-461c-8bbb-113909ad5fd4%2F84a6f6d8-604f-417e-8701-67ee39a8bf7b%2Fdp4spna_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the formula C = 3xVy.p(x,y) → q(y). For each of the following
interpretations, determine if the interpretation is a model of C. If it is a model, show that it
is. If it is not a model, show that it is not.
(a) D = the set of positive integers
R = {R1, R2}
R1 = {[1,3], [3,4], [2,3]}
R2 = {[1], [2], [3], [4]}
p maps to R1 and q maps to R2
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