Find the relation between ab.c, and d such that the kernel of the operator A:R? R?given...
2, M = 〈D, δ〉 is a model for a first-order language with a unary predicate P and a binary relation T. The domain of M is the set fa, b, c, dy; and the denotations of P and T are as follows: .8T) = {(a,b),(b,c),(c, d),(d,a)} Which of the following formulae are satisfied by this model: (a) 3x[T(x, x)] (c) Vr3y T(r, y) 2, M = 〈D, δ〉 is a model for a first-order language with a unary predicate...
I know the answer of a and b but I don't know hoe to do c dy a) Find- if y = ax +b cx+d b) By using changes of variable of the form (*) show that: dx=-in 3--In 2 4 c) Using the ideas from part a) and b) to evaluate the integrals: r2+3x +12 In dx and In o (x + 3)2 (x + 3)2 dy a) Find- if y = ax +b cx+d b) By using changes...
36. Consider the linear operator T(x, y)- (5x-y,3x+2y) on R. Find the matrix of T with respect to the basis (4.3).(1,1) of R
2. Let the joint pdf of X and Y be given by f(xy)-cx if 0sysxsi Determine that value of c that makes f into a valid pdf. a. Find Pr(r ) b 2 C. Find Prl X d. Find the marginal pdf's of X and Y e. Find the conditional pdfs of 자리 and ri- f. Are X and Y independent? Give a reason for your answer g. Find E(X), E(Y), and E(X.Y) 2. Let the joint pdf of X...
Find a linear differential operator that annihilates the given function. (Use D for the differential operator.) 7x − sin(x) + 20 cos(4x) Find a linear differential operator that annihilates the given function. (Use D for the differential operator.) (8 − ex)2
Consider the following FD set on a relation E with six attributes: F, R, I, D, A, and Y. YI FI D A F D R DR A Its candidate keys are [(YF), (YD), (YA)} Tasks: 1. List prime attributes and non-prime attributes for the relation E. Justify your answer. 2. Classify each functional dependence for the relation E. Justify your answer. 3. Determine the normal form of the relation E. Justify your answer. Consider the following FD set on...
Let T be the relation defined on R given by T = {(x,y)|X, Y E RAx-yeZ}. a. Prove T is an equivalence relation. b. Prove Ō =Z c. Find 1.5
Let X = R × R. We define the preference relation R on X, where (a, b)R(c, d) if a >c or b> d. a. Can you define a utility function so, find a utility function. If not, explain why not. on X which represents the preference relation R? If : {(1,5), (2, 5), (3, 5), (4, 5), . .}. Can you define a utility function u on X which represents the preference relation R? If so, find a utility...
(a) Find the orthogonal projection Pf(x) of a) i/2 onto the subspace of Question 1 (b) Express P in the form of an integral operator Pf(x)K(x,y)f(y) dy and find the kernel K(x, y)
Discrete Mathematics. Let A = {2,3,4,6,8,9,12,18}, and define a relation R on A as ∀x,y ∈ A,xRy ↔ x|y. (a) Is R antisymmetric? Prove, or give a counterexample. (b) Draw the Hasse diagram for R. (c) Find the greatest, least, maximal, and minimal elements of R (if they exist). (d) Find a topological sorting for R that is different from the ≤ relation.