Lectures related to Infinite set

Delves into renormalization, fractals, and strange attractors, exploring the properties of countable and uncountable sets.

Covers strings, countable sets, cardinality, and the concept of countability, exploring the countability of various sets and Cantor diagonalization.

Explores counting infinite sets and decision problems, showcasing the limits of computation in solving certain undecidable problems.

Explores cardinality, countable sets, and examples of countable and uncountable sets.

Explores path integrals in quantum field theory, emphasizing the significance of Wick rotation and the classical case.

Explores binary relations, sequences, and summation, including arithmetic and geometric progressions, recurrence relations, and cardinality of sets.

Covers cardinality of sets, poset, equivalence relations, and geometric progressions through a quiz on Kahoot.

Delves into stream processing, its goals, relation to the Reactive Manifesto, challenges, and asynchronous processing.

Presents a short proof of a conjecture by Erdös, exploring related questions and detailed proof of the proposition.

Explores countable and uncountable sets, demonstrating how to determine the cardinality of different sets through listing elements in a sequence.

Covers power sets, tuples, Cartesian product, truth sets, and set cardinality with illustrative examples.

Explains constructing sets and determining set cardinality.

Explores countable and uncountable sets, Cantor set, Mandelbrot set, and Box dimension in nonlinear dynamics and complex systems.

Explains Cantor's theorem comparing cardinalities of different number sets.

Covers recursively enumerable languages, Turing machines, and the construction of undecidable languages.

Explores the countability of subsets of real numbers and demonstrates that the set of real numbers is uncountable.

Covers countable and uncountable sets, sequences, summation, and Cantor's Diagonalization proof.

Covers infinite-horizon problems in Applied Probability and Stochastic Processes.

Explores dynamics on homogeneous spaces, Khintchine theorem, Sullivan's logarithm law, and interactions with number theory.