Choreography and Insurrection

Related lectures (30)

Page 3 of 3

Covers fundamental concepts of space, topology, groups, and homology theory.

Explores permutations, signature, and alternating multilinear forms in vectors.

Covers Hilbert's theorem, direct methods, and Sobolev spaces, including classical and modern methods.

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

Explores vibrations, their properties, and how any map can be transformed into a vibration through factorization.

Covers determining vector spaces, calculating kernels and images, defining bases, and discussing subspaces and vector spaces.

Covers the representation of signals in vector spaces and inner product spaces, including the Projection Theorem.

Covers rotation matrices and transformations in mathematics, providing examples of rotating vectors in different dimensions.

Covers normed vector spaces, including definitions, properties, examples, and sets in normed spaces.

Explores orthogonal matrices and transformations, emphasizing preservation of norms and angles.