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Question: Let U, V ⊆ {0, 1}n and let |U| ∈ O( n3) , and |V | ∈ O (n2). How many independent runs of PDisj are necessary (i.e., how large is the necessary communication complexity) to successfully decide the disjointness problem for U and V with an error probability tending to 0 with growing n? What happens when U, V ∈ Θ(2√n)?
A computer virus is infecting a large network. As each PC becomes infected, it infects two other PCs every 3 mins. How long until one million PCs are infected
Best rentals charges a daily fee plua a mileage fee for renting its cars. Barney was charged $87 for 3 days and 300 miles wheile Mary was charged $154 for 5 days and 600 miles. What does Best Rentals charge per day and per mile?
Let p ≥ 2 be a prime, and let R = Z/pZ[x] be the ring of polynomials with coefficients in Z/pZ. If f(x) ∈ R, let I = (f(x)) be the ideal consisting of the polynomials r(x)f(x) where r(x) ∈ R. If f(x) has degree d, what is the size of the quotient r..
Linearization of a differentiable function - Write the formulas for L1(x) and L2(x) - How are the slopes of L1(x) and L2(x) related?
What is the approximate probability that the blood test will be positive and so at least one person has the disease? Suppose that the blood test yields a positive result.
Let R be a region in the first quadrant enclosed by the curves of , , and the vertical lines and . Find the area of the enclosed region. Give your answer correctly rounded to two decimal places.
total cost of producing x toasters per day is given by C = (1/10xsquared+20x+25)and the selling price for each toaster is (44-1/5x). how many toasters should be produced each day in order to maximize the total profit.
Tina, a business student wants to set up a business completing tax forms. her price would be $50 for each job. fixed expenses include $395 for the purchase of tax software.
Isomorphisms, Residue Classes and Multiplication Tables, Show that U(10) is isomorphic to Z_4 and write out the isomorphism explicitly.
The base of a rectangle lies on the -axis, while the upper two vertices lie on the parabola . Suppose that the coordinates of the upper right vertex of the rectangle are . Express the area of the rectangle as a function of .
For each object, its SA, and some dimensions are given. Calculate the dimension indicated by the variable.right square pyramid SA = 132 cm square and base is 6 cm on each side
A sports club plans to charter a plane, and charge its members 10% commission on the price they pay to buy seats. That price is arranged by the charter company.
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