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Kakutani fixed-point theorem
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Related lectures (31)
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Dynamical Systems: Maps and Stability
Explores one-dimensional maps, periodic solutions, and bifurcations in dynamical systems.
Fixed Points and Stability
Explores fixed points and their stability in dynamic systems, emphasizing linear stability analysis.
Bethe Free Entropy
Covers the computation of Bethe free entropy and the interpretation of messages between variables and factors.
Omega Continuity: Galois Connection and AI Recipe
Explores Tarski's fixed point theorem, omega continuity, Galois connection, and abstract interpretation concepts.
Picard Method: Fixed Point Iterative Technique
Covers the Picard method for solving nonlinear equations using fixed point iteration.
Stability of fixed points
Covers the stability analysis of fixed points in two-dimensional neuron models.
Bistability in Cell Cycle
Explores bistability in the cell cycle, emphasizing positive feedback mechanisms and abrupt response transformations.
Number Systems: Fixed and Floating Point Representations
Discusses fixed-point and floating-point number representations in digital systems, highlighting their structures, advantages, and applications in computing.
Renormalization Group: Effective Hamiltonian
Covers the concept of the renormalization group and the effective Hamiltonian.
Canonical Analysis: Quadratic Geometry
Explores canonical analysis of quadratic functions to identify conic shapes in planes.