The Encyclopedia Americana: The International Reference Work, Volume 7Americana Corporation, 1955 - Encyclopedias and dictionaries |
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Page 432
Let S denote a region of the plane bounded by one or more closed curves . To every point z of S let one or more numbers w , real or complex , be assigned according to some definite law . Then w is said to be a single- or multiple ...
Let S denote a region of the plane bounded by one or more closed curves . To every point z of S let one or more numbers w , real or complex , be assigned according to some definite law . Then w is said to be a single- or multiple ...
Page 433
Any simply connected region can be mapped in a one - to - one manner and conformally on the interior of a circle , and hence any two such regions can be mapped conformally on each other ( Riemann , 1851 ) . 5. The Elementary Functions .
Any simply connected region can be mapped in a one - to - one manner and conformally on the interior of a circle , and hence any two such regions can be mapped conformally on each other ( Riemann , 1851 ) . 5. The Elementary Functions .
Page 435
extended along the boundary of the region indi- cated . Its value is 0. Hence SOA + SAB + S 10 ) f ( 2 ) d2 = Bo ) ОА = 0 . Now let OA = R increase without limit . The first integral thus becomes the well - known in- tegral of the ...
extended along the boundary of the region indi- cated . Its value is 0. Hence SOA + SAB + S 10 ) f ( 2 ) d2 = Bo ) ОА = 0 . Now let OA = R increase without limit . The first integral thus becomes the well - known in- tegral of the ...
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