Lectures related to Counting with Recurrence Relations

Explores proof concepts, techniques, and applications in logic, mathematics, and algorithms.

Introduces Cartesian product and induction for proofs using integers and sets.

Explores the distortion of the Hamming cube and the effects of flipping individual bits.

Covers the concepts of contraposition and contradiction in proofs.

Covers the Fourier inversion formula, exploring its mathematical concepts and applications, emphasizing the importance of understanding the sign.

Explains compression and Kraft inequality in codes and sequences.

Covers examples of direct and indirect proofs in mathematics.

Introduces logic, proofs, sets, functions, and algorithms in mathematics and computer science.

Covers the concept of compression and distance boards.

Covers the basics of analysis, including real numbers, proofs, sets, and operations.