Related lectures (65)
Underdamped Response of 2nd Order System
Explores the underdamped response of a 2nd order system and how damping affects oscillation frequency and decay.
Harmonic Forms and Riemann Surfaces
Explores harmonic forms on Riemann surfaces, covering uniqueness of solutions and the Riemann bilinear identity.
Passivity in Mass-Spring Systems
Explores passivity in mass-spring systems, calculating transfer functions and ensuring system passivity through feedback assembly.
Residual Theorem: Cauchy
Covers the residual theorem from Cauchy, focusing on simple closed curves and holomorphic functions.
Meromorphic Functions & Differentials
Explores meromorphic functions, poles, residues, orders, divisors, and the Riemann-Roch theorem.
Correspondence of Pole Position and Responses
Explores how pole positions in a complex plane influence system responses.
Transformed into Z: Summary and Experiences
Explores transforming sequences into Z, convergence, properties, and practical applications with function generators and resistors.
Trigonometric Integrals: Residues Method
Covers the calculation of integrals using the residues method and discusses singularities, poles, and examples.
Stability: Poles, Zeros, and Control
Covers stability, poles, zeros, and control in dynamic systems, emphasizing the importance of observability.
Hadamard Factorization and Zeros of Zeta
Completes the proof of Hadamard Factorization and uses it to derive an expression for the zeta function in terms of its zeros.

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