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Write a linear-time Boolean function HEAP(T:BINARY_TREE) which returns TRUE is T is a heap, i.e., it is partially ordered. Assume that T is represented using pointers to left and right children. Prove that the time is really linear.
Description of Joint probability, However in this problem what do I do with 2X in my upper y limit, can I plug in the max x value and just make it 0
What is the probability of there being 2 aces in a single column at the start of a Free Cell game? What about 3 and 4 aces in a single column? Conduct an experiment that validates your findings.
An employee of the National Parks Service told you about a location in Washington, DC. It is a large grassy area south of the White House known as the Ellipse. The National Tree Lighting Ceremony is held annually on the Ellipse.
Suppose Frank owns 2000 shares of company X and 1000 shares of company Y. The total value of Franks holding for these 2 companies is $680,000 please write an equation for Bobs and franks holdings. Usa Variable X and Y to represent the values of sh..
Probability and Data Collection, 1. Suppose you have 4 nickels, 6 dimes, and 4 quarters in your pocket. If you draw a coin randomly from your pocket, what is the probability that
What is the maximum number of multiplications required to solve a system of n equations with n unknowns using Gaussian Elimination and write a procedure to obtain the inverse of an n by n matrix usingGaussian elimination.
Consider R2 with the following rules of multiplications and additions: For each x=(x1,x2), y=(y1,y2): Is it a vector space, if not demonstrate which axioms fail to hold.
Give five interesting facts about group theory (or tensor calculus). Each one need only be 1 to just a few sentences - please list separately and under each fact provide any links to websites or pictures etc.
If A and B are subsets of a group G, define AB = {ab | a 2 A, b 2 B}. Now suppose phi: G -> G0 is a homomorphism of groups and N = Ker(phi) is its kernel.
McBurger's fast-food restaurant has a drive-through window with a single window with a single server who takes orders from an intercom and also is the cashier
An octahedron is a three dimensional shape with eight sides that are equilateral triangles. THis shape is used as a die in games such as Dungeons and Dragons because all eight sides come up with equal probability.
Assume f is continuous on the interval (a,b) that contains x0 and f(x0)>0. Show there is an open interval J that contains x0 and m>0 such that f(x)>=m for each x in J.
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