anonymous
  • anonymous
Let S be the set of all people in the world, a and b be people in S, and R be the relation given in each item below. Is (S,R) a partially ordered set? i) a = b or a is a descendant of b ii) a and be do NOT have a common friend
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
I answered Yes for i) and No for ii) by the way
Hero
  • Hero
Did you get this question from a textbook?
anonymous
  • anonymous
i rephrased it a little to shorten the question.. is there something wrong with the way I rephrased it?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

Hero
  • Hero
Post the question exactly as it is from the book, then post the name, author, and edition of the book.
anonymous
  • anonymous
Um, okay, this is from Kenneth Rosen's Discrete Mathematics and Its Applications, 7th ed. Here's a screenshot from the book too: https://dl.dropbox.com/u/17638088/prob.PNG
Hero
  • Hero
k
anonymous
  • anonymous
I only need parts c and d from the problem in the book by the way
anonymous
  • anonymous
Why do you need the author, title, ed, etc of the book?
Hero
  • Hero
To see if I had the book. Hang on
anonymous
  • anonymous
Oh okay..
Hero
  • Hero
Which chapter are you working on?
anonymous
  • anonymous
9.6, Partial Orderings
Hero
  • Hero
Standby
Hero
  • Hero
Recall the following: A relation, R, on a set A is (i) Reflexive of (a,a) ∈ R for all a ∈ A (ii) Anti-symmetric if (a,b),(b,a)∈R implies that a = b (iii) Transitive if (a,b),(b,c) ∈ R implies that (a,c)∈ R (iv) A partial ordering if it is reflexive, anti-symmetric and transitive. Suppose S is the set of all people in the world: (a) R = {(a,b) ∈ R | a is no shorter than b} is a relation on S. Then, R is not anti-symmetric because there may be two different persons with the same height. Hence, (S,R) is not a proset. (b) R = {(a,b) ∈ R | a weighs more than b} is a relation on S. Then R is not reflexive because no other person weighs more than him or herself.
Hero
  • Hero
Hence, (b) is not a proset either
anonymous
  • anonymous
Thank you, but I only need parts c and d, as I've said above :D
Hero
  • Hero
You are correct then, lol
Hero
  • Hero
But you should post a more complete answer than just yes or no
anonymous
  • anonymous
Haha thanks, just want to make sure. My teacher said she doesn't require the actual explanation.
Hero
  • Hero
Yes, but that is the proper way to answer the questions. Yes or No are technically not mathematical responses.
Hero
  • Hero
If I were the teacher, I would tell you that these are not "Yes" or "No" questions.
anonymous
  • anonymous
Haha that would be my inclination as well. I'm going to ask her again.

Looking for something else?

Not the answer you are looking for? Search for more explanations.