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Related lectures (13)
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Optimal Transport: Prokhorov Theorem
Covers the Prokhorov Theorem in Optimal Transport, emphasizing support sets and optimality conditions.
Entropy: Examples and Properties
Explores examples of guessing letters, origins of entropy, and properties in information theory.
RSA Encryption: Main Concepts
Covers the main concepts behind RSA encryption and examples of homomorphisms between cyclic groups.
Equivalence Relations and Partial Orderings
Introduces equivalence relations, partitions, partial orderings, and total ordering concepts with examples and definitions.
Group Actions and Functors
Covers group quotient, group actions, and functors connecting sets and G-sets.
Partial Ordering: Relations, Sequences, Summation
Explores partial orderings, divisibility relations, lattices, lexicographic ordering, comparability, and total orderings.
Introduction to Real Numbers
Introduces the properties and structure of real numbers, emphasizing completeness and the Archimedean property.
Partial Ordering: Relations, Sequences, Summation
Introduces partial orderings, lattices, and lexicographic orderings on Cartesian products.
Introduction to Real Numbers
Introduces the axiomatic structure of real numbers and their properties, including completeness and the Archimedean property.
Real Numbers: Order and Completeness
Covers the properties of real numbers, focusing on the total order and completeness, including the Archimedean property and the concepts of supremum and infimum.
Entropy and Compression I
Explores entropy theory, compression without loss, and the efficiency of the Shannon-Fano algorithm in data compression.
Proper Actions and Quotients
Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.
Sorting Algorithms: Merge Sort
Presents the merge sort algorithm for sorting integers and the concept of fusion for merging ordered lists efficiently.
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