Norms in Rn

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Geometrical Aspects of Differential Operators

Explores differential operators, regular curves, norms, and injective functions, addressing questions on curves' properties, norms, simplicity, and injectivity.

Orthonormal Vectors Properties

Explores the properties of orthonormal vectors in Euclidean space through key equations and demonstrations.

Approximation in Sobolev Spaces

Covers the approximation of functions in Sobolev spaces using smooth functions.

Determinantal Point Processes and Extrapolation

Covers determinantal point processes, sine-process, and their extrapolation in different spaces.

Norms and Convergence

Covers norms, convergence, sequences, and topology in Rn with examples and illustrations.

Approximation by Smooth Functions

Discusses approximation by smooth functions and the convergence of function sequences in normed vector spaces.

Hilbert Spaces: Definition and Properties

Covers the definition and properties of Hilbert spaces, including the Cauchy-Schwarz inequality and norm definition.

Choreography and Insurrection

Delves into choreography and insurrection as non-extractive accumulation of spaces for the commons, inspired by Romain Gary's quote.

Signals & Systems II: Discrete Signal Spaces

Explores discrete signal spaces, non-Euclidean norms, and the distinction between bounded and unrestricted signals.