Cauchy integral theorem
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Cauchy integral theorem[kō·shē ′in·tə·grəl ‚thir·əm]
The theorem that if γ is a closed path in a region R satisfying certain topological properties, then the integral around γ of any function analytic in R is zero.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.