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Concept

South Pole

Related lectures (16)

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Analytic Continuation: Residue Theorem

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StateSpace Pole Locations

Discusses selecting pole locations in state-space control systems to meet time-domain specifications and minimize control effort.

Filter Theory: Introduction and Methods

Introduces filter theory methods such as discretization, pole shifting, and scaling in filter design.

Reminders on two-level systems

Covers the basics of two-level systems, including states, operators, and the Bloch Sphere.

Quantum Field Theory: AQFT

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Technology and Development: Historical Perspectives and Future Projects Log in to Mediaspace to watch this video

Introduces the history of technology and its implications for development, preparing students for collaborative projects focused on social entrepreneurship.

Complex Analysis: Laurent Series and Residue Theorem Log in to Mediaspace to watch this video

Discusses Laurent series, residue theorem, and their applications in complex analysis.

Residue Theorem: Cauchy's Integral Formula and Applications Log in to Mediaspace to watch this video

Covers the residue theorem, Cauchy's integral formula, and their applications in complex analysis.

Maxwell's Equations and Induction Phenomenon Log in to Mediaspace to watch this video

Explores Maxwell's equations, induction in moving conductors, electromotive force, and electrical fields.

Network Functions: Analysis and Design Log in to Mediaspace to watch this video

Explores network functions in s-domain circuit analysis, covering stability, poles, responses, and design.

Residual Theorem: Cauchy Log in to Mediaspace to watch this video

Covers the residual theorem from Cauchy, focusing on simple closed curves and holomorphic functions.

Prime Number Theorem Log in to Mediaspace to watch this video

Covers the proof of Von Mangoldt's formula and the Prime Number Theorem using Zeta functions and pole analysis.

Logarithmic Derivative of Zeta Log in to Mediaspace to watch this video

Explores the logarithmic derivative of the Zeta function using the Hadamard factorization.

Linear Programming Exercise Log in to Mediaspace to watch this video

Covers exercises related to linear programming, focusing on solving optimization problems.

Filters Fundamentals: Chebyshev Approximation Log in to Mediaspace to watch this video

Explores the fundamentals of Chebyshev approximation in filters, covering polynomials, pole locations, order determination, and design procedures.