4. Consider the function w = cos z and the following two sets D = {z = x+ yi € C,0 < x < a} R= C/{w € R, ]w[ > 1} i.e., R is the complex plane deleting two rays (-∞, –1] and [1, –0) on the real axis. Now take D as the domain of definition for f(2) = cos z = Cos w=cos(z)
4. Consider the function w = cos z and the following two sets D = {z = x+ yi € C,0 < x < a} R= C/{w € R, ]w[ > 1} i.e., R is the complex plane deleting two rays (-∞, –1] and [1, –0) on the real axis. Now take D as the domain of definition for f(2) = cos z = Cos w=cos(z)
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.4: Ordered Integral Domains
Problem 1E: Complete the proof of Theorem 5.30 by providing the following statements, where and are arbitrary...
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