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Lecture
Linear Algebra: Properties and Operations
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Related lectures (24)
Sets and Operations: Introduction to Mathematics
Covers the basics of sets and operations in mathematics, from set properties to advanced operations.
Cartesian Product and Induction
Introduces Cartesian product and induction for proofs using integers and sets.
Linear Algebra: Sets and Subsets
Covers the fundamental concepts of sets and subsets in linear algebra, including operations and properties.
Composition of Applications in Mathematics
Explores the composition of applications in mathematics and the importance of understanding their properties.
Linear Algebra: Applications and Definitions
Covers the definition of applications, image of elements, and direct and reciprocal images.
Concept of Proof in Mathematics
Delves into the concept of proof in mathematics, emphasizing the importance of evidence and logical reasoning.
Proofs: Logic, Mathematics & Algorithms
Explores proof concepts, techniques, and applications in logic, mathematics, and algorithms.
Cartesian Product: Sets and Recurrence
Explores the Cartesian product of sets, subsets, and recurrence in mathematics with examples and exercises.
Proofs and Logic: Introduction
Introduces logic, proofs, sets, functions, and algorithms in mathematics and computer science.
Elementary Algebra: Numeric Sets
Explores elementary algebra concepts related to numeric sets and prime numbers, including unique factorization and properties.
Mapping Functions and Surjections
Explores mapping functions, surjections, injective and surjective functions, and bijective functions.
Linear Algebra: Sets and Operations
Introduces fundamental concepts of linear algebra, focusing on sets and operations.
Differential Forms Integration
Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.
Variational Formulation: Information Measures
Explores variational formulation for measuring information content and divergence between probability distributions.
Sparsest Cut: ARV Theorem
Covers the proof of the Bourgain's ARV Theorem, focusing on the finite set of points in a semi-metric space and the application of the ARV algorithm to find the sparsest cut in a graph.
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.
Algorithms & Growth of Functions
Covers optimization algorithms, stable matching, and Big-O notation for algorithm efficiency.
Graph Sketching: Connected Components
Covers the concept of graph sketching with a focus on connected components.
Sets and Functions
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Explores linear similarities and similitudes, demonstrating their properties and applications in geometry.
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