Homework Answers
1)- A " Relation" on a set A is a subset of A × A.
Hence option e. Relation is right.
Because Relation is a set of ordered pairs.There need be no relationship between components of the ordered pairs.
For ex- suppose A = { 1,2,3} then a relation from A to A is - {(1,1),(2,2),(3,3)} which is clearly a subset of A × A = {(1,1),(1,2),(1,3),(2,1),(2,2),(2,3),(3,1),(3,2),(3,3)}.
2)- Relations which are Reflexive, Symmetric and Transitive are called " Equivalence Relations".
Hence Option e. Equivalence Relations is right.
Add Answer to:
A ....... ............ on a set A is s subset of A A Select one: O...
A topological ordering of G (V, E) is: O An irrefelexive, transitive, anti-symmetric binary relation on V such that E CR ● A reflexive, transitive, symmetric binary relation on V such that E gR O A t...
A topological ordering of G (V, E) is: O An irrefelexive, transitive, anti-symmetric binary relation on V such that E CR ● A reflexive, transitive, symmetric binary relation on V such that E gR O A total ordering on V such that E CR. A partial ordering on V such that E C R
A topological ordering of G (V, E) is: O An irrefelexive, transitive, anti-symmetric binary relation on V such that E CR ● A reflexive, transitive, symmetric...
QI. Let A-(-4-3-2-1,0,1,2,3,4]. R İs defined on A as follows: For all (m, n) E A,...
QI. Let A-(-4-3-2-1,0,1,2,3,4]. R İs defined on A as follows: For all (m, n) E A, mRn㈠4](rn2_n2) Show that the relation R is an equivalence relation on the set A by drawing the graph of relation Find the distinct equivalence classes of R. Q2. Find examples of relations with the following properties a) Reflexive, but not symmetric and not transitive. b) Symmetric, but not reflexive and not transitive. c) Transitive, but not reflexive and not symmetric. d) Reflexive and symmetric,...
Question 8 4 pts A relation Rfrom a set A to a set Bis a subset...
Question 8 4 pts A relation Rfrom a set A to a set Bis a subset of а. А х А b. Вх В с. Ах В d. B x A d. Question 9 4 pts A relation Ron a set A is an equivalence relation if either of the following is true: (a) Ris reflexive on A (b) Ris symmetric on A (c) Ris transitive on A. True False
QUESTION 10 The equality relationon any set S is: A total ordering and a function with an inverse. An equivalence relation and also function with an inverse. A function with an inverse, and an equiva...
QUESTION 10 The equality relationon any set S is: A total ordering and a function with an inverse. An equivalence relation and also function with an inverse. A function with an inverse, and an equivalence relation with as single equivalence class equal to S An equivalence relation and also a total ordering QUESTION 11 A binary operation on a set S, takes any two elements a,b E S and produces another element c e S. Examples of binary operations include...
Suppose that we have a large software project divided into several files. Let F be the...
Suppose that we have a large software project divided into several files. Let F be the set of files, and let R be the relation on F where fRg if g depends on f. That is, f must be compiled before g. Note that the dependency might not be direct — g might depend on f through some intermediary files h, j etc.. For the purposes of this question, assume that there is at least one file. a) Is R...
9. Define R the binary relation on N x N to mean (a, b)R(c, d) iff...
9. Define R the binary relation on N x N to mean (a, b)R(c, d) iff b|d and alc (a) R is symmetric but not reflexive. (b) R is transitive and symmetric but not reflexive (c) R is reflexive and transitive but not symmetric (d) None of the above 10. Let R be an equivalence relation on a nonempty and finite
9. Define R the binary relation on N x N to mean (a, b)R(c, d) iff b|d and alc...
discrete maths 2. (Lewis, Zar 14.7) Determine whether each of the following relations is transitive, symmetric,...
discrete maths
2. (Lewis, Zar 14.7) Determine whether each of the following relations is transitive, symmetric, and reflexive and why: (a) The subset relation (b) The proper subset relation (c) The relation R on Z, where R(a, b) if and only if b is a multiple of a (d) The relation R on ordered pairs of integers, where R(<a,b>,<c,d >) if and only if ad-bc.
4. Give the directed graph of a relation on the set ( x,y,z that is a)...
4. Give the directed graph of a relation on the set ( x,y,z that is a) not reflexive, not symmetric, but transitive b) irreflexive, symmetric, and transitive c) neither reflexive, irreflexive, symmetric, antisymmetric, nor transitive d) a poset but not a total order e) a poset and a total order
probelms 9.1 9 Modular arithmetic Definition 9.1 Let S be a set. A relation R =...
probelms 9.1
9 Modular arithmetic Definition 9.1 Let S be a set. A relation R = R(,y) on S is a statement about pairs (x,y) of elements of S. For r,y ES, I is related to y notation: Ry) if R(x,y) is true. A relation Ris: Reflexive if for any I ES, R. Symmetric if for any ry ES, Ry implies y Rr. Transitive if for any r.y.ES, Ry and yRimply R. An equivalence relation is a reflexive, symmetric and...
Let X, be the set {x € Z|3 SXS 9} and relation M on Xz defined...
Let X, be the set {x € Z|3 SXS 9} and relation M on Xz defined by: xMy – 31(x - y). (Note: Unless you are explaining “Why not,” explanations are not required.) a. Draw the directed graph of M. b. Is M reflexive? If not, why not? C. Is M symmetric? If not, why not? d. Is M antisymmetric? If not, why not? e. Is M transitive? If not, why not? f. Is M an equivalence relation, partial order...
A topological ordering of G (V, E) is: O An irrefelexive, transitive, anti-symmetric binary relation on V such that E CR ● A reflexive, transitive, symmetric binary relation on V such that E gR O A total ordering on V such that E CR. A partial ordering on V such that E C R
A topological ordering of G (V, E) is: O An irrefelexive, transitive, anti-symmetric binary relation on V such that E CR ● A reflexive, transitive, symmetric...
QI. Let A-(-4-3-2-1,0,1,2,3,4]. R İs defined on A as follows: For all (m, n) E A, mRn㈠4](rn2_n2) Show that the relation R is an equivalence relation on the set A by drawing the graph of relation Find the distinct equivalence classes of R. Q2. Find examples of relations with the following properties a) Reflexive, but not symmetric and not transitive. b) Symmetric, but not reflexive and not transitive. c) Transitive, but not reflexive and not symmetric. d) Reflexive and symmetric,...
Question 8 4 pts A relation Rfrom a set A to a set Bis a subset of а. А х А b. Вх В с. Ах В d. B x A d. Question 9 4 pts A relation Ron a set A is an equivalence relation if either of the following is true: (a) Ris reflexive on A (b) Ris symmetric on A (c) Ris transitive on A. True False
QUESTION 10 The equality relationon any set S is: A total ordering and a function with an inverse. An equivalence relation and also function with an inverse. A function with an inverse, and an equivalence relation with as single equivalence class equal to S An equivalence relation and also a total ordering QUESTION 11 A binary operation on a set S, takes any two elements a,b E S and produces another element c e S. Examples of binary operations include...
9. Define R the binary relation on N x N to mean (a, b)R(c, d) iff b|d and alc (a) R is symmetric but not reflexive. (b) R is transitive and symmetric but not reflexive (c) R is reflexive and transitive but not symmetric (d) None of the above 10. Let R be an equivalence relation on a nonempty and finite
9. Define R the binary relation on N x N to mean (a, b)R(c, d) iff b|d and alc...
discrete maths
2. (Lewis, Zar 14.7) Determine whether each of the following relations is transitive, symmetric, and reflexive and why: (a) The subset relation (b) The proper subset relation (c) The relation R on Z, where R(a, b) if and only if b is a multiple of a (d) The relation R on ordered pairs of integers, where R(<a,b>,<c,d >) if and only if ad-bc.
4. Give the directed graph of a relation on the set ( x,y,z that is a) not reflexive, not symmetric, but transitive b) irreflexive, symmetric, and transitive c) neither reflexive, irreflexive, symmetric, antisymmetric, nor transitive d) a poset but not a total order e) a poset and a total order
probelms 9.1
9 Modular arithmetic Definition 9.1 Let S be a set. A relation R = R(,y) on S is a statement about pairs (x,y) of elements of S. For r,y ES, I is related to y notation: Ry) if R(x,y) is true. A relation Ris: Reflexive if for any I ES, R. Symmetric if for any ry ES, Ry implies y Rr. Transitive if for any r.y.ES, Ry and yRimply R. An equivalence relation is a reflexive, symmetric and...
Let X, be the set {x € Z|3 SXS 9} and relation M on Xz defined by: xMy – 31(x - y). (Note: Unless you are explaining “Why not,” explanations are not required.) a. Draw the directed graph of M. b. Is M reflexive? If not, why not? C. Is M symmetric? If not, why not? d. Is M antisymmetric? If not, why not? e. Is M transitive? If not, why not? f. Is M an equivalence relation, partial order...
Most questions answered within 3 hours.
-
1- What are 5 general characteristics of Botticelli’s
paintings?
2- Describe 5 important traits of Flemish...
asked 1 hour ago -
A golfer claims that his average golf score at the course he
plays regularly is less...
asked 1 hour ago -
On May 1, First Bank perfected a security interest in Debtor’s
inventory. On June 1, Bob...
asked 2 hours ago -
A new kind of typhoid shot is being developed by a medical
research team. The old...
asked 3 hours ago -
Write a chemical equation for these reactions. (Use
the lowest possible whole number coefficients.) Include
states-of-matter...
asked 5 hours ago -
For each of the Z-scores below, determine two probabilities
(show four three decimal places): (1) the...
asked 6 hours ago -
Oxidative phosphorylation is achieved through chemiosmotic
coupling, which turns chemical energy into osmotic potential energy
that...
asked 9 hours ago -
Hollywood Shoes would like to maintain their cash account at a
minimum level of $64,000, but...
asked 9 hours ago -
Proteins CtrA-P, DnaA, and GcrA behave similarly to what
molecule in the Eukaryotic Cell Cycle?
asked 9 hours ago -
TRUE OR FALSE
In case of a competitive tender procedure, in the request for
quotation, the...
asked 9 hours ago -
I am a little behind please provide some explanation, will
provide thumbs up.
This question considers...
asked 9 hours ago -
Let say the utility function as U(X,Y) = lnX + Y. Show that the
marginal rate...
asked 9 hours ago