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Related lectures (20)
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Nonlinear Systems: Phase Portrait Analysis
Explores nonlinear systems through phase portraits in 2D, focusing on vector fields, isoclines, and trajectories.
Mathematical Analysis of Genetic Circuits
Explores the mathematical analysis of genetic circuits and the implementation of synthetic plasmids in E. coli, focusing on the concept of limit cycle oscillators.
Fractal Dimension: Understanding Complex Geometric Structures
Explores fractal dimension, calculating values analytically and providing practical examples in computer graphics.
Curves in Space: Parametric Equations and Surfaces
Covers the equations for curves and surfaces in space, including parametric and particular surfaces.
Dynamic Systems: Course Review
Covers dynamic systems, trajectories, growth models, stability of fixed points, and linearization of models.
Phase Portraits and Predator-Prey Models
Explores phase portraits in 2D systems and the dynamics of predator-prey models.
Hydration: Aluminate Hydrates
Delves into aluminate hydrates in cement chemistry, discussing ettringite, AFm phases, decomposition, solid solutions, limestone effect, and hydrogarnets.
Geometric Quantities in Parameterized Curves
Explores parameterized curves, regularity, and geometric quantities like the carbide vector and curvature.
Bistability in Genetic Networks
Explores bistability in genetic networks, analyzing fixed points and stability, phase portraits, and experimental implementation.
Manifolds and Tangent Space
Introduces manifolds, charts, atlases, tangent space, tensors, and the metric in curved spaces.