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Fixed-point theorem
Formal sciences
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Differential anaysis
Related lectures (32)
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Rotations: Fixed Points and Spherical Coordinates
Covers rotations around fixed points and spherical coordinates, discussing cinematic moments and angular velocity.
Nonlinear Equations: Bisection and Fixed-Point Methods
Explores nonlinear equations, bisection, fixed-point methods, error control, and graphical interpretations of fixed points.
Newton's Method: Fixed Point Iterative Approach
Covers Newton's method for finding zeros of functions through fixed point iteration and discusses convergence properties.
Advanced Analysis II: Homogeneous ODEs and Banach Spaces
Explores the resolution of ODEs and the Banach fixed-point theorem.
Fixed Point Method: Convergence and Nonlinear Equations
Covers the fixed point method for solving nonlinear equations and discusses convergence properties.
Geometric Transformations: Translation and Homothety
Explores geometric transformations like translation and homothety in the plane.
Nonlinear Equations: Global Convergence of Fixed Point Method
Explores the global convergence of the fixed point method for nonlinear equations.
Newton method for systems: Fixed point iterations
Explores the Newton method for systems and fixed point iterations, discussing convergence and properties.
Modeling Gene Expression
Explores modeling gene expression, fixed points analysis, and stability in biological systems.
Nonlinear Equations: Methods and Applications
Covers methods for solving nonlinear equations, including bisection and Newton-Raphson methods, with a focus on convergence and error criteria.