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Lecture
Sets and Functions
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Related lectures (28)
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Topology of Riemann Surfaces
Covers the topology of Riemann surfaces, focusing on orientation and orientability.
Real Functions: Definitions and Properties
Covers the definitions and basic properties of real functions, including domain, image set, notation, and graph.
Relational Databases: Fundamentals and ACID Properties
Covers relational databases, transactions, and data consistency in the context of historical database typologies.
Query Processing with Relational Operations
Covers query processing with relational operations, including query optimization and different join algorithms.
Graph and Diagonal
Discusses the graph of a relation and the concept of separation.
Equivalence Classes and Relations
Covers equivalence classes, relations, quotient sets, and functions properties.
Functions: Definitions and Notations
Covers the generalities of functions, including the definition of an application between sets and the uniqueness of elements in the image set.
Data-Intensive Systems: Relational Model and Algebra
Introduces the relational model and algebra, essential for understanding data-intensive systems and effective database management.