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10 Nov 2019
Let Q(x) be a quadratic polynomial with leading coefficient A = 1. Suppose we also know that a+ib is a root of Q(x), where a and b are real numbers. (In other words, Q(a + ib) = 0). Prove that dx/Q(x) diverges if b = 0. Prove that p(x) := 1/Q(x) defines a probability density function whenever b = pi and a is any real number.
Let Q(x) be a quadratic polynomial with leading coefficient A = 1. Suppose we also know that a+ib is a root of Q(x), where a and b are real numbers. (In other words, Q(a + ib) = 0). Prove that dx/Q(x) diverges if b = 0. Prove that p(x) := 1/Q(x) defines a probability density function whenever b = pi and a is any real number.
Casey DurganLv2
12 Feb 2019