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内容提示: Real and Complex Analysis Solution ManualJen-Wen Chang∗,Shih-Kang Chao†1Abstract IntegrationExercise 1.1. Does there exist an infinite σ-algebra which has only countably manymembers ?Solution. No. Suppose there is one, then since σ-algebra is closed under countableunion, it ...
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eitande−itaremutually conjugatefor they have the same real quantity and contrary imaginary quantity. |eit|=eite−it=1. Therefore,eit=cost+isint. Now talk about why assertions (d) and (f) are proved in such a cumbersome way.