Homework Answers
Add Answer to:
(17) (20pt) Let F be the set of functions f : R+ → R. Prove that the binary relation "f is 0(g)" on F is: (a) (4pt) Write down the definition for "f is O(g)". (b) (4pt) Prove that the...
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...
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...
4. Let S be the set of continuous function f: [0;1) ! R. Let R be...
4. Let S be the set of continuous function f: [0;1) ! R. Let R be the relation defined on S by (f; g) 2 Rif(x) is O(g(x)). (a) Is R reflexive? (b) Is R antisymmetric? (c) is R symmetric? (d) is R transitive? Explain your answer in details. Use the definition of big-O to justify your answer if you think R has a certain property or give a counter example if you think R does not have a certain...
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...
Q4 Let F denote a countably infinite set of functions such that each f; e F...
Q4 Let F denote a countably infinite set of functions such that each f; e F is a function from Z+ to R+, and let R be a homogeneous binary relation on F where R = {(fa, fb) | fa(n) € (fo(n))}. Prove that R is a reflexive relation. In your proof, you may not use a Big-12, Big-0, or Big- property to directly justify a relational property with the same name; instead, utilize the definition of Big-12, Big-O, and...
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,...
2. Let S 11,2,3,4,5, 6, 7,8,91 and let T 12,4,6,8. Let R be the relation on P (S) detined by for ...
2. Let S 11,2,3,4,5, 6, 7,8,91 and let T 12,4,6,8. Let R be the relation on P (S) detined by for all X, Y E P (s), (X, Y) E R if and only if IX-T] = IY-T]. (a) Prove that R is an equivalence relation. (b) How many equivalence classes are there? Explain. (c) How mauy elements of [ø], the equivalence class of ø, are there? Explain (d) How many elements of [f1,2,3, 4)], the equivalence class of (1,2,3,...
Please explain in detail!! 4. If binary relation R is given by matrix [1 0 1...
Please explain in detail!!
4. If binary relation R is given by matrix [1 0 1 0 1 101 м, 1 1 1 0 1 1 0 1 determine, if R is: (a) reflexive (b) symmetric (c) antisymmetric (d) transitive?
4. [3 marks] Let R be a relation on a set A. Let A {1,2, 3,...
4. [3 marks] Let R be a relation on a set A. Let A {1,2, 3, X, Y} and R = {(1, 1), (1,3), (2,1), (3, 1), (1, X), (X, Y)} (a) What is the reflexive closure of R? (b) What is the symmetric closure of R? (c) What is the transitive closure of R?
3. (12 pts) Determine whether the following binary relation is: (1) reflexive, (2) symmetric, (3) antisymmetric,...
3. (12 pts) Determine whether the following binary relation is: (1) reflexive, (2) symmetric, (3) antisymmetric, (4) transitive. a) The relation Ron Z where aRb means a = b. Circle your answers. (4 pts) Ris Reflexive? Symmetric? Antisymmetric? Transitive? Yes or No Yes or No Yes or No Yes or No b) The relation R on the set of all people where aRb means that a is taller than b. Circle your answers. (4 pts) Ris Reflexive? Symmetric? Antisymmetric? Transitive?...
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...
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...
4. Let S be the set of continuous function f: [0;1) ! R. Let R be the relation defined on S by (f; g) 2 Rif(x) is O(g(x)). (a) Is R reflexive? (b) Is R antisymmetric? (c) is R symmetric? (d) is R transitive? Explain your answer in details. Use the definition of big-O to justify your answer if you think R has a certain property or give a counter example if you think R does not have a certain...
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...
Q4 Let F denote a countably infinite set of functions such that each f; e F is a function from Z+ to R+, and let R be a homogeneous binary relation on F where R = {(fa, fb) | fa(n) € (fo(n))}. Prove that R is a reflexive relation. In your proof, you may not use a Big-12, Big-0, or Big- property to directly justify a relational property with the same name; instead, utilize the definition of Big-12, Big-O, and...
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,...
2. Let S 11,2,3,4,5, 6, 7,8,91 and let T 12,4,6,8. Let R be the relation on P (S) detined by for all X, Y E P (s), (X, Y) E R if and only if IX-T] = IY-T]. (a) Prove that R is an equivalence relation. (b) How many equivalence classes are there? Explain. (c) How mauy elements of [ø], the equivalence class of ø, are there? Explain (d) How many elements of [f1,2,3, 4)], the equivalence class of (1,2,3,...
Please explain in detail!!
4. If binary relation R is given by matrix [1 0 1 0 1 101 м, 1 1 1 0 1 1 0 1 determine, if R is: (a) reflexive (b) symmetric (c) antisymmetric (d) transitive?
4. [3 marks] Let R be a relation on a set A. Let A {1,2, 3, X, Y} and R = {(1, 1), (1,3), (2,1), (3, 1), (1, X), (X, Y)} (a) What is the reflexive closure of R? (b) What is the symmetric closure of R? (c) What is the transitive closure of R?
3. (12 pts) Determine whether the following binary relation is: (1) reflexive, (2) symmetric, (3) antisymmetric, (4) transitive. a) The relation Ron Z where aRb means a = b. Circle your answers. (4 pts) Ris Reflexive? Symmetric? Antisymmetric? Transitive? Yes or No Yes or No Yes or No Yes or No b) The relation R on the set of all people where aRb means that a is taller than b. Circle your answers. (4 pts) Ris Reflexive? Symmetric? Antisymmetric? Transitive?...
Most questions answered within 3 hours.
-
Patterson Development sometimes sells property on an installment
basis. In those cases, Patterson reports income in...
asked 9 minutes ago -
please help with these two example, i want to double check my
work. thanks
1.
sum:=0...
asked 6 minutes ago -
in the formation of 1.0 mole of the following crystalline solids
from the gaseous ions most...
asked 11 minutes ago -
Please answer Letter G only.
Price
Quantity
TR
MR
MC
TC
Profit
$15,000
0
0
----...
asked 12 minutes ago -
You are required to develop and submit a 12-month integrated
marketing communications plan for the KFC...
asked 14 minutes ago -
Let v=(1,-4,12) and w=(3,5,-1) be vectors.
What is 2v-3w?
asked 30 minutes ago -
What is the [A2-] (in mol L-1) of a solution containing 1.355
mol L-1 of a...
asked 26 minutes ago -
Suppose an equilibrium mixture consists of 0.46 atm
N2O4 and 2.0 atm NO2, and the
volume...
asked 23 minutes ago -
9. Answer the following questions related to the size of a
program and memory space.
A)...
asked 27 minutes ago -
What organ is the site of gas exchange in amphibians? select
all that apply
spleen
lungs...
asked 28 minutes ago -
Function 4: my-map
In CLISP define your own function that duplicates the
functionality of mapcar from...
asked 56 minutes ago -
Imagine you are progressing very well
during your job interview and you are confidently prepared to...
asked 55 minutes ago