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Lecture
Set Union: Properties and Operations
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Mathematics: Sets and Functions
Introduces sets, functions, Cartesian products, and compositions, discussing images, preimages, and function properties.
Sets and Functions
Introduces sets and functions, covering union, intersection, complement, functions terminology, and set operations analogies.
Associative Operations: Fundamentals
Covers associative and commutative operations in parallel programming, using mathematical examples and discussing challenges in preserving associativity.
Linear Algebra: Sets and Subsets
Covers the fundamental concepts of sets and subsets in linear algebra, including operations and properties.
Mapping Functions and Surjections
Explores mapping functions, surjections, injective and surjective functions, and bijective functions.
Groups and Numbers: Mathematical Elements on Groups
Explores fundamental properties of groups and numbers, emphasizing equivalence classes and subgroup concepts.
Proofs and Logic: Introduction
Introduces logic, proofs, sets, functions, and algorithms in mathematics and computer science.
Group Theory: Basics
Covers the basics of group theory, including sets, applications, and examples like permutations and rotations.
Differential Forms Integration
Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.
Introduction to Analysis
Covers the basics of analysis, including proofs, sets, rational and real numbers, and the concept of infimum.
