Find five positive natural numbers u, v, w, x, y such that there is no subset...

Find five positive natural numbers u, v, w, x, y such that there is no subset with a sum divisible by 5

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Colby Messinger answered 2 years ago

define U=x+y, V=x-y. find the joint and marginal pdf of U and V

Let X ∈ L(U, V ) and Y ∈ L(V, W). You may assume that V...

Let X ∈ L(U, V ) and Y ∈ L(V, W). You may assume that V is finite-dimensional. 1)Prove that dim(range Y) ≤ min(dim V, dim W). Explain the corresponding result for matrices in terms of rank 2) If dim(range Y) = dim V, what can you conclude of Y? Give some explanation 3) If dim(range Y) = dim W, what can you conclude of Y? Give some explanation

If V = U ⊕ U⟂ and V = W ⊕ W⟂, and if S1: U...

If V = U ⊕ U⟂ and V = W ⊕ W⟂, and if S1: U → W and S2: U⟂ → W⟂ are isometries, then the linear operator defined for u1 ∈ U and u2 ∈ U⟂ by the formula S(u1 + u2) = S1u1 + S2u2 is a well-defined linear isometry. Prove this.

For the following u(x, y), show that it is harmonic and then find a corresponding v(x,...

For the following u(x, y), show that it is harmonic and then find a corresponding v(x, y) such that f(z)=u+iv is analytic. u(x, y)=(x^2-y^2) cos(y)e^x-2xysin(y)ex

1. Let U = {r, s, t, u, v, w, x, y, z}, D = {s,...

1. Let U = {r, s, t, u, v, w, x, y, z}, D = {s, t, u, v, w}, E = {v, w, x}, and F = {t, u}. Use roster notation to list the elements of D ∩ E. a. {v, w} b. {r, s, t, u, v, w, x, y, z} c. {s, t, u} d. {s, t, u, v, w, x, y, z} 2. Let U = {r, s, t, u, v, w, x, y, z},...

Let X ∼ Poisson(λ) and Y ∼ U[X, 2X]. Find E(Y ) and V ar(Y ).

Find the positive numbers x, y and z whose sum is 100 such that x^r y^s...

Find the positive numbers x, y and z whose sum is 100 such that x^r y^s z^t is a maximum, where r, s and t are constants.

Suppose A is the set of positive real numbers, and suppose u and v are two...

Suppose A is the set of positive real numbers, and suppose u and v are two strictly increasing functions.1 It is intuitive that u and v are ordinally equivalent, since both rank larger numbers higher, and therefore generate the same ranking of numbers. Write this intuition as a proof.

Prove that if U, V and W are vector spaces such that U and V are...

Prove that if U, V and W are vector spaces such that U and V are isomorphic and V and W are isomorphic, then U and W are isomorphic.

If the function u (x, y) is a harmonic conjugate of v (x, y) prove that...

If the function u (x, y) is a harmonic conjugate of v (x, y) prove that the curves u (x, y) = st. and v (x, y) = stations. are orthogonal to each other. These curves are called level curves. Now consider the function f (z) = 1 / z defined throughout the complex plane except the beginning of the axes. Draw them level curves for the real and imaginary part of this function and notice that they are two...

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