1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Charra [1.4K]
3 years ago
5

Determine whether the relation R on the set of all Web pages is reflexive, symmetric, antisymmetric, and/or transitive, where (a

, b) ∈ R if and only if a) everyone who has visited Web page a has also visited Web page b. b) there are no common links found on both Web page a and Web page b. c) there is at least one common link on Web page a and Web page b
Mathematics
1 answer:
xxMikexx [17]3 years ago
5 0

Answer:

a) R is reflexive, R is not symmetric, R is not anti-symmetric, R is transitive.

b) R is reflexive, R is symmetric, R is not anti-symmetric, R is not transitive.

c) R is not reflexive, R is symmetric, R is not anti-symmetric, R is not transitive.

Step-by-step explanation:

a)

(a, b) ∈ R if and only if everyone who has visited Web page a has also visited Web page b.

Obviously R <em>is reflexive</em> (aRa)

Everyone who has visited Web page a has also visited Web page a

R <em>is not symmetric</em> (aRb does not imply bRa)

If everyone who has visited Web page a has also visited Web page b does not mean that everyone who has visited Web page b has also visited Web page a

R <em>is not anti-symmetric</em> (aRb and bRa does not imply a=b)

If everyone who has visited Web page a has also visited Web page b and everyone who has visited Web page b has also visited Web page a does not mean the web pages are the same.

R <em>is transitive</em> (aRb and bRc implies aRc)

If everyone who has visited Web page a has also visited Web page b and everyone who has visited Web page b has also visited Web page c implies that everyone who has visited Web page a has also visited Web page c.

b)

(a, b) ∈ R if and only if there are no common links found on both Web page a and Web page b.

R is obviously <em>reflexive</em> (aRa)

R <em>is symmetric </em>(aRb implies bRa)

if there are no common links found on both Web page a and Web page b, then there are no common links found on both Web page b and Web page a.

R <em>is not anti-symmetric</em> (aRb and bRa does not imply a=b)

if there are no common links found on both Web page a and Web page b and there are no common links found on both Web page b and Web page a does not mean a and b are the same web page.

R <em>is not transitive</em> (aRb and bRc does not imply aRc)

Consider for example three web pages a, b and c such that a and c have a common link and b has no external links at all.

Then obviously (a,b)∈R and (b,c)∈R since b has no links, but (a,c)∉R because they have a common link.

c)

(a, b) ∈ R if and only if there is at least one common link on Web page a and Web page b

R <em>is not reflexive </em>

If the web page a does not have any link at all, then a is not related to a.

R <em>is symmetric </em>(aRb implies bRa)

if there is at least one common link found on Web page a and Web page b, then there is at least one common link found on Web page b and Web page a.

R <em>is not anti-symmetric</em> (aRb and bRa does not imply a=b)

if there is at least one common link found on Web page a and Web page b and there is at least one common link found on Web page b and Web page a does not mean the web pages are the same

R <em>is not transitive</em> (aRb and bRc does not imply aRc)

Consider for example three web pages a, b and c such that a has only two links L1 and L2, b has only two links L2 and L3   c has only two links L3 and L4.  

Then (a, b) ∈ R since a and b have the common link L2, (b, c) ∈ R for b and c have the common link L3, but a and c have no common links, therefore (a,c)∉R

You might be interested in
Who had the quickest average time per mile?
Ugo [173]

Answer:

nina as faster

6 1/2 < 7 1/2

5 0
2 years ago
PLZZZ HELPPPPPPPPPPPPPPPPP there is a pizza party and there is 14 pizzas. If someone eats 5 and 1/8 pizzas how many are left
sveticcg [70]

Answer:

bsbskskndbsksne dbandn fbsjzbrbxbsbebfbznqnfkfjjejw

7 0
2 years ago
The force of gravity on an object varies directly with its mass. The constant of variation due to gravity is 32.2 feet per secon
castortr0y [4]

Answer:

<h2>F = 32.2m</h2>

Step-by-step explanation:

According to newton second law, the force of gravity on an object varies directly with its mass and it is expressed mathematically as Fαm i.e

F = mg where;

F is the force of gravity

m is the mass of the body

g is the proportionality constant known as the acceleration due to gravity.

If the constant of variation due to gravity is 32.2ft/s², the equation that represents F, the force on an object due to gravity according to m, the object’s mass can be gotten by substituting g = 32.2 into the formula above according to the law as shown;

F = m*32.2

F =32.2m

Hence the required equation is F = 32.2m

5 0
3 years ago
Read 2 more answers
I tried to do this but got confused ;0;
mafiozo [28]

Answer:

answer d 242 square feet

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Should I be thankful to my little brother when this is his first time making mac and cheese and he gives me a little and I ALWAY
Elodia [21]

Answer:

Help him learn and if you do it together then you will have leverage to say that 1/2 of it is yours since you helped him make it

Step-by-step explanation:

8 0
2 years ago
Other questions:
  • Out of 450 applicants for a job, 206 are male and 62 are male and have a graduate degree.
    12·1 answer
  • On your own paper, solve the system of equations using elimination and identify the solution. Always list your answer alphabetic
    10·1 answer
  • I need this for my math homework quickly! Thanks!!!
    7·1 answer
  • Find an equation for the perpendicular bisector of the line segment whose endpoints
    7·1 answer
  • Chrissy went to the grocery store Thursday night and spent $22.54. She paid
    5·1 answer
  • CAN YALL HELP ME PLEASE ON THIS ILL GIVE YOU BRAINLIEST AND ALL MY POINTS
    6·2 answers
  • Someone help me with b :( it’s wrong
    7·2 answers
  • Suppose lightning strikes at an average of 1.4 strikes per minute during a particular storm. You play the following game: if the
    15·1 answer
  • Suppose a 5-digit number is formed using the digits from 1 to 9 (without replacement). What is the probability that it will be a
    8·1 answer
  • Translate the phrase into an algebraic expression.The product of 4 and b
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!