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Cauchy principal value
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Related lectures (9)
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Complex Analysis: Cauchy Theorem
Explores the Cauchy Theorem and its applications in complex analysis.
Generalized Integral and Main Value
Covers the concept of the generalized integral and main value, including singularities, principal value at infinity, and residues.
Proof of Explicit Formula
Covers the proof of the explicit formula for the non-vanishing of the zeta function at the 1-line.
Integration Techniques: Variable Change
Covers integration techniques related to variable change and undefined integrals.
Laplace Transform: Basics
Introduces Laplace transform, ROC, and LTI systems with transfer functions and frequency response.
Cauchy Theorem and Laurent Series
Covers the Cauchy theorem, the conditions to apply it, and the Laurent series.
Integration of Path: Part 2
Covers the continuation of path integrals, focusing on complex functions and their applications.
Trust region methods: Global convergence with minimal effort
Explores trust region methods for global convergence with minimal effort in optimization on manifolds.
Moment Generating Function and Multivariate Normal Distribution
Explores moment generating functions and multivariate normal distributions in probability and statistics.
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