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Frobenius theorem (differential topology)
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Related lectures (16)
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Exact Linearization: Determining Conditions and Transformations
Explores exact linearization, determining conditions and transformations using Lie bracket and hook of Lie.
Negligible Sets: Integrable and Almost Everywhere
Explores negligible sets, integrable sets, and almost everywhere concept in mathematical analysis.
Expectation: Basic Properties
Discusses integrability, square-integrability, boundedness, centering, and linearity of random variables.
Mercury's Precession: Calculation Methods
Explores methods to calculate Mercury's precession and analyzes celestial mechanics concepts.
Linear Algebra Basics
Covers the basics of linear algebra, including rank, differentiable applications, and submersions.
Improper Integrals: Recap and Bounded Functions
Covers a recap of improper integrals and bounded functions.
Fubini Theorem for Closed Sets
Explains the Fubini theorem for closed sets and volume calculations.
Differential Forms on Manifolds
Introduces differential forms on manifolds, covering tangent bundles and intersection pairings.
Generalized Integrals: Types and Examples
Covers generalized integrals, focusing on convergence conditions and examples.
Change of Variables: Integrability and Fubini's Theorem
Explores changing variables in double integrals and applying Fubini's theorem in R² for simplifying calculations.
Integral Calculus: Type 2 Integrals and Convergence Study
Explores type 2 integrals and their convergence study with illustrative examples.
Definition of Sobolew Spaces
Explains the definition of Sobolew spaces and their main properties, focusing on weak denivelre.
Fubini Theorem: Integrability and Order of Integration
Explores the Fubini theorem for integrability in two variables and emphasizes the significance of the order of integration.
Riemann Integral Properties
Covers the properties of Riemann integrals and comparisons between integrals.
Riemann Integral: Properties
Covers the properties of Riemann integrals and introduces the concept of average value of a function.
Unique Ergodicity for Generic Foliations
Explores unique ergodicity for generic foliations on Kähler surfaces.
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