Piecewise

Related lectures (30)

Introduces Laplace transforms, their properties, and applications in solving differential equations.

Explores the application of Fourier series and the challenges of using multiple methods to solve problems.

Discusses distributions, the Laplace transform, and their applications in mathematical analysis.

Covers piecewise continuous functions, their properties, classification based on continuity, and integral types, including improper integrals.

Covers the development of integration techniques and the application of generalized integrals.

Explores the theory and applications of Fourier series, including convergence properties and piecewise-defined functions.

Explores convex functions, affine transformations, pointwise maximum, minimization, Schur's Lemma, and relative entropy in mathematical optimization.

Explores the optimality of splines for imaging and deep neural networks, demonstrating sparsity and global optimality with spline activations.

Covers advanced topics in analysis, focusing on series and integrals, including exercises and discussions on continuity and convergence criteria.

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