Concept

Cyclic permutation

Related lectures (27)

Covers the Symmetric group, cycle decomposition, transpositions, even and odd permutations, and group actions.

Explores the Symmetric group, cycle decomposition, Orbit-Stabilizer theorem, and properties of cycles and transpositions.

Covers permutations and combinations with and without repetition, including examples with letters, fruits, bills, and equations.

Explores the Symmetric group, cycle notation, multiplication, the sign of a permutation, and the Alternating group.

Covers symmetric groups, transpositions, sign of a permutation, and conjugacy classes in permutations.

Covers permutation, combination, and the pigeonhole principle in counting problems.

Covers the concepts of combinations and permutations in counting scenarios.

Explores the reasons behind the abundance of saddle points in deep learning optimization, emphasizing statistical and geometric arguments.

Covers the simplified notation for expressing permutations and their applications in mathematics.

Covers the concept of enumeration and counting subsets of a finite set with examples and factorial notation.

Covers the basics of group theory, including sets, applications, and examples like permutations and rotations.

Explores the algebraic properties of the cross product and its linearity.

Explores the special linear group, matrix properties, and determinant theorems.

Introduces algebraic structures essential for understanding mathematical objects used in science and engineering.

Covers the local structure of totally disconnected locally compact groups, exploring properties and applications.

Explores eigenvalues of Coxeter elements, cyclic permutations, invariance, and decomposition of eigenspaces.

Explores the Steinitz Lemma and the concept of cycles in linear algebra.

Explores the symmetric group, emphasizing cycle notation and group properties.