Cyclic Sequences: Counting and Equivalence

Related lectures (26)

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Explores formal language operations, including concatenation, union, intersection, and Kleene star for language repetition.

Covers the Möbius inversion formula and its proof, including the change of variables in summation.

Explores exploration bias and generalization bound in KL divergences, emphasizing mathematical proofs and implications.

Covers the Möbius inversion for posets, defining partially ordered sets and explaining the incidence algebra.

Covers multiplicative functions, Dirichlet convolution, and the Mobius function in arithmetic functions.

Explores Mertens' theorems on prime estimates and the behavior of the Mobius function in relation to the prime number theorem.

Explores correlations of the Liouville function along deterministic and independent sequences, covering key concepts and theorems.

Covers formal languages, operations like union and concatenation, and the Kleene star operation.

Covers the Exponential Family, including its definition, sufficient statistics, and distribution properties.