![1. Let h be a hash function mapping U to indexes (0...m -1]. Assume that |U| m2 Could an adversary could pick a set K of m/2 keys from U which are all mapped into the same cell? What is the value of ΣzyEKFh(x,y) in this case ? Fh(x,y) is the function defined in the slides on the section discussing Universal Families of Hash functions.](http://img.homeworklib.com/questions/c92c9f00-cb98-11ea-af1e-071fe9a6f8ae.png?x-oss-process=image/resize,w_560)
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1. Let h be a hash function mapping U to indexes (0...m -1]. Assume that |U|...
(1 point) Let X and Y have the joint density function (a) What is the joint density function of U...
(1 point) Let X and Y have the joint density function (a) What is the joint density function of U,V? (b) On what domain is this defined? and
(1 point) Let X and Y have the joint density function (a) What is the joint density function of U,V? (b) On what domain is this defined? and
Q1. Let us assume that u = H, = 4 4H / m in region 1...
Q1. Let us assume that u = H, = 4 4H / m in region 1 where z>0, whereas u = x2 = 7 uH /m in region 2 where z<0. Moreover, let surface current density K = 80 x on the interface z=0. The magnetic field in region 1 is given as B = 2 x-3 y + z ml. Calculate the magnetic field B2 in region2 using boundary conditions. Q2. Calculate the mutual conductance between two coaxial solenoids...
(1 point) Let X and Y have the joint density function f(x,y)=1x2y2, x≥1, y≥1. Let U=3XY...
(1 point) Let X and Y have the joint density function f(x,y)=1x2y2, x≥1, y≥1. Let U=3XY and V=5X/Y . (c) What is the marginal density function for U ? fU(u)= (d) What is the marginal density function for V ? Your answer should be piecewise defined: if 0≤v< , fV(v)= else, fV(v)=
1. Assume a consumer has as preference relation represented by u(c1, 2) for g E (0,...
1. Assume a consumer has as preference relation represented by u(c1, 2) for g E (0, 1) and oo > n > 2, with x E C = Ri. Answer thefollow (x1+x2)" ing: a. Show the preference relation that this utility function induces "upper b. Show the preference relation these preferences represent are strictly C. Give another utility function that generates exactly the same behavior as level sets that are convexif U(x) is Convex for any xeX monotonic. this one....
i need help with 2b please is a set of input values, Y- 2. In this question, we reuse the notation of lecture 37: X-{xi, ,x , m-1) is a set of hash values, and H is an [X → Y)-valued random variab...
i need help with 2b please
is a set of input values, Y- 2. In this question, we reuse the notation of lecture 37: X-{xi, ,x , m-1) is a set of hash values, and H is an [X → Y)-valued random variable {0.1, In lecture, we showed that for any hash value y e Y, the expected number of input values that hash to y is k/m, where k XI and m Yl. However, in determining the time it...
Also, find Cmn. Haar wavelets) Let 6 be a function defined by 0(x) = 1 for...
Also, find Cmn.
Haar wavelets) Let 6 be a function defined by 0(x) = 1 for x € (0,1), and əla) = 0 otherwise. Let y(x) = º(2x) - (2x - 1). Then the Haar wavelets are the functions Umn(x) = 2m/2v(2" x - n), for m, n = 0, #1, #2, .... Sketch a graph of y(x), and then sketch a graph of Umn(x) for m, n = 0, +1, +2. Generally, what is the graph of Umn(x)? If...
7. Consider the utility function U(11,12)= nei +2y if x > 0 -0 otherwise Assume P1,...
7. Consider the utility function U(11,12)= nei +2y if x > 0 -0 otherwise Assume P1, P2, m >0. (a) Compute the demand functions for both commodities. You may not assume that * ER for both commodities. (b) Calculate MRS for the case where r* ERN. Explain your result.
Real Analysis question, give clear writing please Let h(x) be the function on (0, 1) defined...
Real Analysis question, give clear writing please
Let h(x) be the function on (0, 1) defined by ſi x <1 h(x) = 2 X=1 (a) For any P, what is the value of L(f,P)? (b) Can you find a P such that U(f,P) is within 1/10 of L(f,P)? (c) Show that h is integrable.
Let X have probability density function f(2)= k(1+x) -3 for 0 < x < oo and...
Let X have probability density function f(2)= k(1+x) -3 for 0 < x < oo and f(x) = 0 elsewhere. a. Find the constant k and Find the c.d.f. of X. b. Find the expected value and the variance of X. Are both well defined? c. Suppose you are required to generate a random variable X with the probability density function f(x). You have available to you a computer program that will generate a random variable U having a U[0,...
Suppose you have following utility function :U(x,y)=(x + yaja where x >0, y>0 and a 70, a <1 The price of comm...
Suppose you have following utility function :U(x,y)=(x + yaja where x >0, y>0 and a 70, a <1 The price of commodity x is P >0 and the price of good y is P, > 0. Let us denote income by M, with M>0 a) Compute the marginal utilities of X and Y. b) Write down the utility maximization problem and corresponding Lagrangian function. c) Solve for optimal bundle, X* and y* as a function of Px, Py, and M.
(1 point) Let X and Y have the joint density function (a) What is the joint density function of U,V? (b) On what domain is this defined? and
(1 point) Let X and Y have the joint density function (a) What is the joint density function of U,V? (b) On what domain is this defined? and
Q1. Let us assume that u = H, = 4 4H / m in region 1 where z>0, whereas u = x2 = 7 uH /m in region 2 where z<0. Moreover, let surface current density K = 80 x on the interface z=0. The magnetic field in region 1 is given as B = 2 x-3 y + z ml. Calculate the magnetic field B2 in region2 using boundary conditions. Q2. Calculate the mutual conductance between two coaxial solenoids...
1. Assume a consumer has as preference relation represented by u(c1, 2) for g E (0, 1) and oo > n > 2, with x E C = Ri. Answer thefollow (x1+x2)" ing: a. Show the preference relation that this utility function induces "upper b. Show the preference relation these preferences represent are strictly C. Give another utility function that generates exactly the same behavior as level sets that are convexif U(x) is Convex for any xeX monotonic. this one....
i need help with 2b please
is a set of input values, Y- 2. In this question, we reuse the notation of lecture 37: X-{xi, ,x , m-1) is a set of hash values, and H is an [X → Y)-valued random variable {0.1, In lecture, we showed that for any hash value y e Y, the expected number of input values that hash to y is k/m, where k XI and m Yl. However, in determining the time it...
Also, find Cmn.
Haar wavelets) Let 6 be a function defined by 0(x) = 1 for x € (0,1), and əla) = 0 otherwise. Let y(x) = º(2x) - (2x - 1). Then the Haar wavelets are the functions Umn(x) = 2m/2v(2" x - n), for m, n = 0, #1, #2, .... Sketch a graph of y(x), and then sketch a graph of Umn(x) for m, n = 0, +1, +2. Generally, what is the graph of Umn(x)? If...
7. Consider the utility function U(11,12)= nei +2y if x > 0 -0 otherwise Assume P1, P2, m >0. (a) Compute the demand functions for both commodities. You may not assume that * ER for both commodities. (b) Calculate MRS for the case where r* ERN. Explain your result.
Real Analysis question, give clear writing please
Let h(x) be the function on (0, 1) defined by ſi x <1 h(x) = 2 X=1 (a) For any P, what is the value of L(f,P)? (b) Can you find a P such that U(f,P) is within 1/10 of L(f,P)? (c) Show that h is integrable.
Let X have probability density function f(2)= k(1+x) -3 for 0 < x < oo and f(x) = 0 elsewhere. a. Find the constant k and Find the c.d.f. of X. b. Find the expected value and the variance of X. Are both well defined? c. Suppose you are required to generate a random variable X with the probability density function f(x). You have available to you a computer program that will generate a random variable U having a U[0,...
Suppose you have following utility function :U(x,y)=(x + yaja where x >0, y>0 and a 70, a <1 The price of commodity x is P >0 and the price of good y is P, > 0. Let us denote income by M, with M>0 a) Compute the marginal utilities of X and Y. b) Write down the utility maximization problem and corresponding Lagrangian function. c) Solve for optimal bundle, X* and y* as a function of Px, Py, and M.
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