Introduction to Algorithms
Introduction to Algorithms
3rd Edition
ISBN: 9780262033848
Author: Thomas H. Cormen, Ronald L. Rivest, Charles E. Leiserson, Clifford Stein
Publisher: MIT Press
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Chapter 4.2, Problem 7E
Program Plan Intro

To show that the multiplication of complex numbers a+bi and c+di produces real component and imaginary component as acbd and ad+bc respectively .

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If F(x, y, z) = (xy+z'), what is the complement of F? You need to simplify it.
Explain how to multiply two complex numbers, a + ib and c+ id, using just three multiplications of real numbers, where a, b, c, and d are real numbers and I (= v-1) is an imaginary number. The algorithm must accept the inputs a, b, c, and d and create the real component ac – bd and the imaginary component ad + bc separately.
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