Discrete Pressure Modes in Lecture 4

Building surfaces from equilateral triangles

Explores the construction of Riemann surfaces from equilateral triangles and the dynamics of finite-type maps.

Covers the topology of Riemann surfaces and the concept of triangulation using finitely many triangles.

Covers the concepts of local homeomorphisms and coverings in manifolds, emphasizing the conditions under which a map is considered a local homeomorphism or a covering.

Geometry of the Triangle

Covers the geometry of the triangle, including inequalities, heights, and centers.

Mercer Theorem and Kernels

Explores the Mercer Theorem, Kernels, and their role in machine learning applications.