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Related lectures (32)
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Nonlinear Equations: Bisection and Fixed-Point Methods
Explores nonlinear equations, bisection, fixed-point methods, error control, and graphical interpretations of fixed points.
Rotations: Fixed Points and Spherical Coordinates
Covers rotations around fixed points and spherical coordinates, discussing cinematic moments and angular velocity.
Numerical Methods: Fixed Point and Picard Method
Covers fixed point methods and the Picard method for solving nonlinear equations iteratively.
Orthogonal Projections and Reflections in 2D
Covers the geometric description of orthogonal projections and reflections in 2D, focusing on transformations and their properties.
Bistability in Cell Cycle
Explores bistability in the cell cycle, emphasizing positive feedback mechanisms and abrupt response transformations.
Modeling Gene Expression
Explores modeling gene expression, fixed points analysis, and stability in biological systems.
Geometric Transformations: Translation and Homothety
Explores geometric transformations like translation and homothety in the plane.
Synchronization in Kuramoto Model
Explores the Kuramoto model for synchronization in phase oscillators and discusses stability criteria and critical coupling values.
Fixed Points and Stability
Explores fixed points and their stability in dynamic systems, emphasizing linear stability analysis.
Fixed Point Method: Convergence and Nonlinear Equations
Covers the fixed point method for solving nonlinear equations and discusses convergence properties.