We will create a binary relation on people based on their height. Say that person x...
We will create a binary relation on people based on their height. Say that person x is Probably The Same Height as person y if person x is within 1 inch of person y. In this case we might write this xPy.
1. Write out a formal definition of this binary relation
2. Is this complete? Explain
3. Is this transitive? Explain
Homework Answers
Answer 1 = Binary Relation - A binary relation between the two sets A and B is defined as the set of the ordered pairs (a,b) having the element a from A and b from B that is Cartesian Product of A X B the information of relation is encoded where a is related to element b
Answer 2 = It can be complete binary relation because either the x may small or greater it is not our objective but here it is mentioned it should be in the one-inch range of y which is same for the y also in the reflexive also hence it is true
Answer 3 = It is transitive say some person z in inch range of the x it may be greater or smaller which is not objective here and this person can be in the one-inch range of y as well hence x can be in the in the 1-inch range of the y as well
x implies to z
z implies to y
hence x implies to y also
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We will create a binary relation on people based on their
height. Say that person x...
4. Say that Ris a preference relation defined on X and that R is complete and...
4. Say that Ris a preference relation defined on X and that R is complete and transitive. Show that for all r, y E X, if xPy, then for any z E X, either xPz or zPy or both.
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Can you #2 and #3?
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10. Definearelationon by setting x R y if x y is even.
(a) Give a counterexample to show that R is not
reflexive.
(b) Give a counterexample to show that R is not
transitive.
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number, and then your last name. (e.g., Sec 3.1 #7. J. Doe).
In a new paragraph clearly state the problem (don’t just write
#7; do...
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1. The relation between the input of a person and the output of that person's height is a function, because each person has exactly one height. However, the relation between the input of a person and the output of that's person's telephone number, is not a function because a single person might have several telephone numbers (home phone, cell phone, work phone, etc). a) Describe a relation (give its input and output) in your life that is a function Explain...
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Can you #2 and #3?
6. LESSON 6 (1) Let A be the set of people alive on earth. For each relation defined below, determine if it is an equivalence relation on A. If it is, describe the equivalence classes. If it is not determine which properties of an equivalence relation fail. (a) a Hb a and b are the same age in (in years). (b) a Gb a and b have grandparent in common. 2) Consider the relation S(x,y):x...
10. Definearelationon by setting x R y if x y is even.
(a) Give a counterexample to show that R is not
reflexive.
(b) Give a counterexample to show that R is not
transitive.
Reply to this prompt to create a thread, which includes:
The first line of your post with the section and question
number, and then your last name. (e.g., Sec 3.1 #7. J. Doe).
In a new paragraph clearly state the problem (don’t just write
#7; do...
please solve 22.1, using the Theorem given. Thank you.
Theorem 22.1. Suppose that n people (n 2 2) are at a party. Then there exist at least two people at the party who know the same number of people present First you need to know the rules. We will assume that no one knows him- or herself. We will also assume that if x claims to know y, then y also knows x. The idea behind the proof is this,...
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