13. Let set N = { Bill , Fred, Sandy , Martha , Jill , Jeff , Gina , Bob , Steve } be a set of neighbors in your neighborhood. Let set M = { Gino's Pizza , Mike's Meat Market , Phil's Meats , Gonzo Pizza Machine } be a set of merchants in the neighborhood that neighbors patronize. Let B = {National Bank , City Bank , School Credit Union} be a set of banks that the merchants patronize. Establish some relation nRm, where you can assign certain neighbors to patronize certain merchants. Now, establish some relation mRb, where you assign merchants to do business at a certain bank. In neither case do you have to use all elements out of any set. You compose a relation by first mapping from N to M. Follow that by mapping from M to B. Let E be the relation from N to M and let F be the relation from M to B. The relations are sometime written as E(n) and F(m), where the letter in parentheses represents an element of the domain for that relation. The composition is written as Fo E, which means first apply relation E, followed by relation F. For each element n e N, write the triple that is formed by following the path formed by first mapping E then F.

13. Let set N = { Bill , Fred, Sandy , Martha , Jill , Jeff , Gina , Bob , Steve } be a set of neighbors in your neighborhood. Let set M = { Gino's Pizza , Mike's Meat Market , Phil's Meats , Gonzo Pizza Machine } be a set of merchants in the neighborhood that neighbors patronize. Let B = {National Bank , City Bank , School Credit Union} be a set of banks that the merchants patronize. Establish some relation nRm, where you can assign certain neighbors to patronize certain merchants. Now, establish some relation mRb, where you assign merchants to do business at a certain bank. In neither case do you have to use all elements out of any set. You compose a relation by first mapping from N to M. Follow that by mapping from M to B. Let E be the relation from N to M and let F be the relation from M to B. The relations are sometime written as E(n) and F(m), where the letter in parentheses represents an element of the domain for that relation. The composition is written as Fo E, which means first apply relation E, followed by relation F. For each element n e N, write the triple that is formed by following the path formed by first mapping E then F.

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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Concept explainers

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.

Question

13. Let set N = { Bill , Fred, Sandy , Martha , Jill , Jeff , Gina , Bob , Steve } be a set of
neighbors in your neighborhood. Let set M = { Gino's Pizza , Mike's Meat Market ,
Phil's Meats , Gonzo Pizza Machine } be a set of merchants in the neighborhood that
neighbors patronize. Let B = {National Bank , City Bank , School Credit Union} be a set
of banks that the merchants patronize.
Establish some relation nRm, where you can assign certain neighbors to patronize
certain merchants. Now, establish some relation mRb, where you assign merchants to
do business at a certain bank. In neither case do you have to use all elements out of
any set.
You compose a relation by first mapping from N to M. Follow that by mapping from M to
B. Let E be the relation from N to M and let F be the relation from M to B. The relations
are sometime written as E(n) and F(m), where the letter in parentheses represents an
element of the domain for that relation. The composition is written as Fo E, which
means first apply relation E, followed by relation F.
For each element n e N, write the triple that is formed by following the path formed by
first mapping E then F.

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