Is (S,R) a poset if S is the set of all people in the world and (a,

Question:

Is (S,R) a poset if S is the set of all people in the world and (a, b) ∈ R, where a and b are people, if
a) A is taller than b?
b) A is not taller than b?
c) A = b or a is an ancestor of b?
d) A and b have a common friend?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Discrete Mathematics and Its Applications

ISBN: 978-0073383095

7th edition

Authors: Kenneth H. Rosen

See More Books

Question Posted: May 03, 2016 01:51 AM

See More Questions

(a) Show that the set of all functions of the form f(x) = (ax2 + bx + c) ex for a, b, c, R forms a vector space. What is its dimension? (b) Show that the derivative D[f(x)] = f(x) defines an...
a. Show that the set of all rectangles [a1, b1] x . x [an, bn] where each ai and each bi are rational can be arranged into a sequence (i.e. form a countable set). b. If A C Rn is any set and O is an...
a) Show that the relation R on the set of all differentiable functions from R to R consisting of all pairs (f, g) such that f'(x) = g'(x) for all real numbers x is an equivalence relation. b) Which...
The curve described by the cable of the suspension bridge shown in Figure 8.70 is given by where x is the distance measured from one end of the bridge. What is the length of the cable (see Example...
Midnight Sun Apparel Company uses normal costing, and manufacturing overhead is applied to work in process on the basis of machine hours. On January 1 of the current year, there were no balances in...
What is end-user computing? Why is documentation important to end-user computing? What guidelines should companies develop to control end-user computing?
Samples of peanut butter produced by 2 different manufacturers are tested for aflatoxin content, with the following results: (a) Use analysis of variance to test whether the two brands differ in...
The following information is available for Pyle Garage for March 2016: The following is a list of checks and deposits recorded on the books of Pyle Garage for March 2016: Other Information 1. Check...
why stereotypes are problematic? Give examples
From the following information you are required to construct: (i) a break-even chart, showing the break-even point and the margin of safety; (ii) a chart displaying the contribution level and the...
What is the covering relation of the partial ordering {(A,B) | A B} on the power set of S, where S = {a, b, c}?
Show that a finite poset can be reconstructed from its covering relation.
A company has the following results for the four years to 31 March 2023: Calculate the total repayment of corporation tax (with interest) to which the company is entitled, assuming that: (a) all...
Polydactyly is a condition in which a person has extra fingers and/or toes. It is caused by a dominant allele. If a person carries this allele but does not have any extra fingers or toes, this is an...
Chloroplasts and mitochondria evolved from an endosymbiotic relationship involving a. purple bacteria and cyanobacteria, respectively. b. cyanobacteria and purple bacteria, respectively. c....
Hemophilia is a blood-clotting disorder in humans that follows an X-linked recessive pattern of inheritance. A man with hemophilia and a woman without hemophilia have a daughter with hemophilia. If...
The outcome of an individuals traits is controlled by a. genes. b. the environment. c. both genes and the environment. d. neither genes nor the environment.
In animals, a key difference between spermatogenesis and oogenesis is that a. only oogenesis involves meiosis. b. only spermatogenesis involves meiosis. c. spermatogenesis produces four sperm,...
Air at 25C and 1 atm is in fully developed flow at m = 10 3 kg/s through a 10-mm-diameter circular tube whose inner surface is wetted with water. Determine the tube length required for the water...
The slopes of the tangents at the points where the curve y = x2 - 4x intersects the X-axis is 1) 1 2) +2 3) +3 4) +4
Explain, using Theorems 4, 5, 7, and 9, why the function is continuous at every number in its domain. State the domain. 22. G(x) = V(1 + x*) 21. F(x) x2 + 5x + 6 23. R(x) = x + V2x - 1 sin x 24. h(x)...
Locate the discontinuities of the function and illustrate by graphing. 30. y = In(tan?x) 29. y - I+elis
Use continuity to evaluate the limit. 31. lim 4 V5 +x 32. lim sin(x + sin.r) x - 4 3r - 6x 33. lim e- 34. lim arctan
The heights (in inches) for a sample of 22 male adults are 62, 82, 79, 76, 73, 70, 67, 64, 61, 80, 79, 75, 72, 69, 66, 63, 75, 75, 72, 72, 68, 68 Send data to calculator Draw the histogram for these...
What are the facts of this case? Business Financing Solutions, Inc. ("BFS") is a small lending institution that specializes in providing loans to small businesses. BFS's president, Rachel Chen, has...
Royal Lawncare Company produces and sells two packaged products-Weedban and Greengrow. Revenue and cost Information relating to the products follow: Selling price per unit Variable expenses per unit...

Is (S,R) a poset if S is the set of all people in the world and (a,

Question:

Step by Step Answer:

The query in each case is whether the relation is reflexive antisymmetric and transitive a Since nob...View the full answer

Discrete Mathematics and Its Applications

Students also viewed these Statistics questions