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Lecture
Relations, Sequences, Summation: Summary of Week 5
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Related lectures (25)
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Sets and Functions
Introduces binary relations, functions, and various types of relations in sets.
Relations, Sequences and Summations
Covers topics on relations, sequences, and summations, including lattices, recurrence relations, and sigma notation.
Linear Algebra: Bijections and Cardinality
Explores bijections in linear algebra and the concept of cardinality between sets.
A Conjecture of Erdös: Proof by Moreira, Richter and Robertson
Presents a short proof of a conjecture by Erdös, exploring related questions and detailed proof of the proposition.
Linear Algebra: Sets and Operations
Introduces fundamental concepts of linear algebra, focusing on sets and operations.
Relations: Sets, Functions and Composition
Covers binary relations, functions, set operations, composition, and n-ary relations.
Cardinality and Group Theory
Explores cardinality in sets and properties of groups, including commutativity and examples of abstract groups.
Introduction to Category Theory: Examples
Introduces the theory of categories through examples and discusses the product of categories.
Relations, Sequences, Summation: Cantor Diagonalization
Covers countable and uncountable sets, sequences, summation, and Cantor's Diagonalization proof.
Relations: Sets, Functions and Composition
Covers binary relations, functions, composition, and n-ary relations with examples.