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Related lectures (27)
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Markov Chains: Definition and Examples
Covers the definition and properties of Markov chains, including transition matrix and examples.
Problems and Languages: Regular Languages
Covers regular languages, encoding, alphabets, words, languages, concatenation, exponentiation, and iterative closure.
Theory of Computation: Counting and Decision Problems
Explores counting infinite sets and decision problems, showcasing the limits of computation in solving certain undecidable problems.
Cardinality of Sets: Countable and Uncountable
Explores cardinality, countable sets, and examples of countable and uncountable sets.
Normed Spaces
Covers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.
Additional Properties of Real Numbers
Explores the countability of subsets of real numbers and demonstrates that the set of real numbers is uncountable.
Relations and Sequences: Well-ordered Sets and Geometric Series
Explores equivalence relations, well-ordered sets, geometric series, and countable sets.
Distance Board: Compression
Covers the concept of compression and distance boards.
Analysis IV: Measurable Sets and Properties
Covers the concept of outer measure and properties of measurable sets.
Relations, Sequences, Summation: Quiz
Covers cardinality of sets, poset, equivalence relations, and geometric progressions through a quiz on Kahoot.