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Related lectures (31)
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Binary Relations and Cartesian Products
Explores binary relations, Cartesian products, and applications between sets, emphasizing their properties and significance.
Categories: Functors, and Natural Transformations
Introduces categories, concrete examples, opposite categories, and isomorphisms, leading to groupoids.
Operations on Sets: Parts, Intersection, and Difference
Explores operations on sets, Cartesian products, and functions' properties.
Introduction to Category Theory: Categories and Examples
Covers examples of categories like sets, groups, and vector spaces, exploring composition and product formation.
Set Theory: Introduction and Operations
Covers the foundation of mathematics through set theory concepts like membership and unions.
Sets and Relations
Introduces sets, Cartesian product, order importance, and relations on sets.
Linear Algebra: Propositions and Sets
Covers propositions indexed by vectors, proof by induction, and Cartesian products of sets.
Sets, Functions and Relations: Constructing Sets
Covers power sets, tuples, Cartesian product, truth sets, and set cardinality with illustrative examples.
Sets, Functions and Relations: Constructing Sets
Explains constructing sets and determining set cardinality.
Analysis IV: Convergence and Approximation in L² Space
Explores convergence and approximation in L² space, emphasizing the limitations of continuous functions and the importance of closed sets.
Continuous Functions: Criteria and Equivalences
Explores criteria for continuity, convergence of sequences, and equivalence conditions for continuous functions.
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