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Related lectures (32)

State-Space Dynamic Response

Covers the computation of transfer functions and system poles and zeros.

Linear Beam Dynamics

Covers the Hamiltonian formalism, linear equations, Courant-Snyder parametrization, and chromatic effects in accelerator physics.

Light in Movement

Delves into the interplay of light and architecture in a Seoul valley.

Correlated and Uncorrelated Sampling

Explains correlated and uncorrelated sampling for generating random variables with given weight functions.

Conservation of Mechanical Energy: Stability and Equilibria

Explores the conservation of mechanical energy and stability of equilibrium points in dynamic systems, illustrated with examples like the mathematical pendulum and looping motion.

Phase Portraits and Predator-Prey Models

Explores phase portraits in 2D systems and the dynamics of predator-prey models.

Genetic Circuits and Mechanical Analogies

Explores genetic circuits, negative feedback, and mechanical analogies for spatial problems, including cell coupling and mRNA regulation.

Mathematical Modeling in Chemistry and Biology Log in to Mediaspace to watch this video

Covers mathematical modeling in chemistry and biology, including chemical reactions, enzymatic kinetics, and population dynamics.

Dynamics of Simple Pendulum and Lorenz Equations Log in to Mediaspace to watch this video

Explores the dynamics of a simple pendulum and the intriguing Lorenz equations, highlighting sensitivity to initial conditions and the transition to chaos.

Damped Harmonic Oscillator Log in to Mediaspace to watch this video

Covers the damped harmonic oscillator in quantum optics, including field amplitude, coherent states, photon numbers, and phase space.

Thermodynamic Modeling: Real Solutions Log in to Mediaspace to watch this video

Explores thermodynamic modeling of real solutions in materials science, focusing on regular and sublattice models.

Markov Chains: Reversibility & Convergence Log in to Mediaspace to watch this video

Covers Markov chains, focusing on reversibility, convergence, ergodicity, and applications.

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