Bioengineering Signals and Systems
Cauchy's Theorem is a fundamental principle in complex analysis that states that if a function is holomorphic (complex differentiable) within a simply connected domain, then the integral of that function over any closed contour in that domain is zero. This theorem is crucial for understanding the behavior of complex functions and has implications in the study of linear time-invariant (LTI) systems, particularly in analyzing their causality and stability.
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