Lectures related to Piecewise linear manifold

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.

Covers embedded submanifolds, Stiefel manifold, tangent spaces, and differential ranks.

Explores smooth manifolds through diffeomorphisms and embedded submanifolds in a linear space.

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

Explores sparse learning of chemical reaction networks from trajectory data using data-based methods and learning approaches.

Covers optimization on manifolds, focusing on smooth manifolds and functions, and the process of gradient descent.

Covers the topic of conformal transformations, including translations, dilations, rotations, and the conformal algebra.