EVALUATE CNXPXQN-X FOR THE VALUES OF N,X,AD P GIVEN BELOW
N=8,X-1,P=1/2
N=7,X=2,P=0.8
N=6, X=4,P=2/5
EVALUATE CNXPXQN-X FOR THE VALUES OF N,X,AD P GIVEN BELOW
N=8,X-1,P=1/2
N=7,X=2,P=0.8
N=6, X=4,P=2/5
Consider an axiomatic system that consists of elements in a set
S and a set P...
Consider an axiomatic system that consists of elements in a set
S and a set P of pairings of elements (a, b) that satisfy the
following axioms:
A1 If (a, b) is in P, then (b, a) is not in P.
A2 If (a, b) is in P and (b, c) is in P, then (a, c) is in
P.
Given two models of the system, answer the questions below.
M1: S= {1, 2, 3, 4}, P= {(1, 2), (2,...
1. Let D={1212,1515,1717}, E={1212,1414,1515,1616} and
F={1111,1313,1414,1515,1717}.
List the elements in the set (D∪E)∩F.
(D∪E)∩F=
2. Let...
1. Let D={1212,1515,1717}, E={1212,1414,1515,1616} and
F={1111,1313,1414,1515,1717}.
List the elements in the set (D∪E)∩F.
(D∪E)∩F=
2. Let U = { 1,7,9,11,13,16,17,18,19}, X = {7,11,16,18}, Y =
{7,9,11,13,16}, and Z = { 1,7,9,18,19}. List the members of the
given set, using set braces.
(X∩Y′)∪(Z′∩Y′)
(X∩Y′)∪(Z′∩Y′)=
3. Use the union rule to answer the question.
If n(B) = 16, n(A ∩ B)=5 , and (A ∪ B) =17,
n(A)?
For each set of conditions below, give an example of a predicate
P(n) defined on N...
For each set of conditions below, give an example of a predicate
P(n) defined on N that satisfy those conditions (and justify your
example), or explain why such a predicate cannot exist.
(a) P(n) is True for n ≤ 5 and n = 8; False for all other
natural numbers.
(b) P(1) is False, and (∀k ≥ 1)(P(k) ⇒ P(k + 1)) is True.
(c) P(1) and P(2) are True, but [(∀k ≥ 3)(P(k) ⇒ P(k + 1))] is
False....
Let X be the set {1, 2, 3}.
a)For each function f in the set of...
Let X be the set {1, 2, 3}.
a)For each function f in the set of functions from X to X,
consider the relation that is the symmetric closure of the function
f'. Let us call the set of these symmetric closures Y. List at
least two elements of Y.
b) Suppose R is some partial order on X. What is the smallest
possible cardinality R could have? What is the largest?
Define p to be the set of all pairs (l,m) in N×N such that l≤m.
Which...
Define p to be the set of all pairs (l,m) in N×N such that l≤m.
Which of the conditions (a), (c), (r), (s), (t) does p satisfy?
(a) For any two elements y and z in X with (y,z)∈r and (z,y)∈r,
we have y=z
.(c) For any two elements y and z in X, we have (y,z)∈r or
(z,y)∈r.
(r) For each element x in X, we have (x,x)∈r.
(s) For any two elements y and z in X with...