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Related lectures (31)
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Ancient Land Register: Orange, Provence, France
Delves into the vestiges of the ancient land register in Orange, Provence, France.
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Composition of Applications in Mathematics
Explores the composition of applications in mathematics and the importance of understanding their properties.
Fourier Inversion Formula
Covers the Fourier inversion formula, exploring its mathematical concepts and applications, emphasizing the importance of understanding the sign.
Harmonic Forms: Main Theorem
Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.
Analysis IV: Measurable Sets and Properties
Covers the concept of outer measure and properties of measurable sets.
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Distributions and Derivatives
Covers distributions, derivatives, convergence, and continuity criteria in function spaces.
Fourier Transform: Schwartz Space
Covers the Fourier transform on Schwartz space and its properties, including continuity and linearity, as well as the density of smooth compactly supported functions.
Approximation by Smooth Functions
Discusses approximation by smooth functions and the convergence of function sequences in normed vector spaces.
Conformal Maps and Hyperbolic Geometry
Explores conformal maps, hyperbolic geometry, and isometric properties of disks.
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Implicit Euler Scheme
Explains the Implicit Euler Scheme, a method for solving differential equations numerically, focusing on stability and convergence properties.
Topology of Riemann Surfaces
Covers the topology of Riemann surfaces, focusing on orientation and orientability.
Differential Forms Integration
Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.
Convergence of Fourier Series
Explores the convergence of Fourier series in L² space with trigonometric polynomials and approximation theorems.
Delegation Protocols in Quantum Cryptography
Explains the Fitzsimons-Hadjucek-Morimae delegation protocol in quantum cryptography for secure quantum computation tasks.
Étale Motives and the Hodge Conjecture
Explores étale motivic cohomology and the Hodge conjecture with a focus on counter-examples.
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