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Unformatted text preview: of the (extended) complex plane to itself: inversion, in which z 1 z for z 6 = 0, 0 and 0 ; and inversion in the unit circle, where z 1 z for z 6 = 0, with 0 and 0 . (b) Show that nonzero complex numbers z and z correspond to diametrically opposed points on the sphere if and only if z z =1 . 4. Conway, chapter 3, section 1, problem 7. 5. Conway, chapter 3, section 2, problem 9. 6. Conway, chapter 3, section 2, problem 14....
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 Spring '01
 SNIDER

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