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| − | = Really important results<br> = | + | = Really important results<br> = |
Be able to state these perfectly, while taking a nap and juggling chainsaws.<br> | Be able to state these perfectly, while taking a nap and juggling chainsaws.<br> | ||
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| + | <u>Cauchy's theorem:</u> Let f be analytic on a domain <span class="texhtml">Ω</span>, and let <span class="texhtml">γ</span> be a nullhomologous, piecewise <span class="texhtml">''C''<sup>1</sup></span> curve in <span class="texhtml">Ω</span>. Then <math>\int_\gamma f(z)\,dz =0.</math> | ||
<br> [[2014 Summer MA 598C Weigel|Back to 2014 Summer MA 598C Weigel]] | <br> [[2014 Summer MA 598C Weigel|Back to 2014 Summer MA 598C Weigel]] | ||
[[Category:2014_Summer_MA_598C_Weigel]] | [[Category:2014_Summer_MA_598C_Weigel]] | ||
Latest revision as of 06:14, 5 August 2014
Really important results
Be able to state these perfectly, while taking a nap and juggling chainsaws.
Cauchy's theorem: Let f be analytic on a domain Ω, and let γ be a nullhomologous, piecewise C1 curve in Ω. Then $ \int_\gamma f(z)\,dz =0. $
