Complex Integration: The ML Inequality Proof and Example @FacultyofKhan
Complex Integration: The ML Inequality Proof and Example  @FacultyofKhan
Uploaded May 2017 | Updated September 2026, 2 weeks ago
This video proves the ML Inequality (aka Estimation Lemma) for complex integrals and does a short example involving it. The ML Inequality is quite useful because it helps establish upper bounds on your complex/contour integrals. It was a request that someone made yesterday, so the fact that I managed to complete the request in one day is probably quite fortunate lol.

Questions/Requests/Feedback? Let me know in the comments! Also, I got a new microphone, which is why my voice sounds much better now.

Prereqs: The 1st 3 videos of the complex variables playlist: youtube.com/playlist?list=PLdgVBOaXkb9CNMqbsL9GTWwU542DiRrPB

Patreon Link: patreon.com/user?u=4354534

Lecture Notes: drive.google.com/file/d/0B_urJu4cgDhMQXNJbUtxdzlidjQ/view?usp=sharing&resourcekey=0-y10gFZpWjp6dbGQxnNjB2Q
Complex Integration: The ML Inequality Proof and ExampleDerivation of the Euler-Lagrange Equation | Calculus of VariationsHow to find the Residues of a Complex FunctionConformal Mappings and the Local Inverse | Complex VariablesOld Channel IntroductionProblem 2: Action Potentials, Channel Inactivation and Refractory PeriodWinding Numbers and Meromorphic Functions Explained! | Complex VariablesThe Quantum Harmonic Oscillator Solution | Schrodinger Equation | Part 1The Beta Function Explained (and why its useful)Beltrami Identity Derivation | Calculus of VariationsBirkhoffs Theorem and Proof | General RelativityQuotient Law for Tensors and Levi-Civita Symbol
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Complex Integration: The ML Inequality Proof and Example

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