Reference no: EM13694479
Question 1: Let L1, L2, ..., Ln be distinct lines in the Euclidean plane, and let A be the set of points formed by intersections of these lines. Characterize A using set notation and quantifiers.
Question 2: Express (as simply as you can) each of the subsequent sentences without the use of universal quantification:
(a) (?x)(?y)(?z)[P(x, y, z)]
(b) (?y) [(?x) P(x, y )? (?x ) Q(x, y )]
Question 3: Express (as simply as you can) each of the sentences in problem (2) without the use of existential quantification.
Question 4: A sequence of natural numbers ( a1, a2, ..., an ) is said to be a degree sequence if there exists an undirected graph on vertices { v1, v2, ..., vn } such that degree ( vi) = ai for each i = 1, 2, ..., n.
Part 1 Is (0, 1, 1, 1, 2, 2, 3, 4) a degree sequence? Prove your answer.
Part 2 Is (0, 1, 1, 1, 2, 3, 3, 4) a degree sequence? Prove your answer.
Part 3 FOR EXTRA FUN: try to devise an algorithm for determining whether a given sequence of numbers is a degree sequence.
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Compare and contrast the traditional marketing
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Describe and assess impact of these devices on newspaper
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Determine the security risks with respect to phishing
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Solve a single quadratic equation of the form
: Write a C++ program to solve a single quadratic equation of the form - The actual solution of the equation shall be done by a function named equSolver(), which takes three coefficients as parameters and returns a structure of three fields: two root..
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Use of universal quantification
: Let L1, L2, ..., Ln be distinct lines in the Euclidean plane, and let A be the set of points formed by intersections of these lines. Characterize A using set notation and quantifiers.
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Calculate the area and circumference of a circle
: Write a program to move and calculate the area and circumference of a circle. - Calculate function, which passes the radius by value, and get back the area (PI*radius*radius) and circumference (2*PI*radius) of the circle through reference
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Write a function named append that accepts three arguments
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Program that computes the monthly loan payment
: Write a program that computes the monthly loan payment, given the loan amount (a double value), the interest, as a percent % (a double value), and the number of years to repay the loan
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Draw a diagram of how the stacks might look
: Two stacks of positive integers are needed, both containing integers with values less than or equal to 1000. One stack contains even integers; the other contains odd integers.
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