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.

Explores geodesic convexity in metric spaces and its applications, discussing properties and the stability of inequalities.

Introduces Coq, an interactive theorem assistant based on the Curry-Howard isomorphism.

Covers the basic properties of holomorphic maps and Taylor series expansions in complex analysis.

Explores distribution and interpolation spaces, showcasing their importance in mathematical analysis and the computations involved.

Covers the concept of outer measure and properties of measurable sets.

Covers entanglement, Bell inequalities, CSHS requirements, EPR paradox, and experimental verification in quantum mechanics.

Provides an overview of engineering projects, troubleshooting tips, and practical demonstrations on signal processing and Arduino integration.

Explores historical mathematical proofs, decision problems, deductive systems, probabilistic and quantum proofs, and interactive proof systems.

Explores the composition of applications in mathematics and the importance of understanding their properties.

Covers the approximation of functions in Sobolev spaces using smooth functions.