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System Composition
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Related lectures (29)
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Q is a Field
Covers the properties of rational numbers and introduces the concept of an ordered field in Q.
Matrix Algebra: Addition, Scalar Multiplication, Transpose
Introduces matrix algebra operations and their properties, including commutativity and distributivity.
Elliptic Curves: Group Structure and Isomorphism
Explores the group structure and isomorphism of elliptic curves, including inverses, associativity, and compactification to the torus.
Natural Numbers
Covers the concept of natural numbers, including properties like commutativity and associativity.
Physics 1: Vectors and Dot Product
Covers the properties of vectors, including commutativity, distributivity, and linearity.
Auxiliary Assertions in Stainless
Showcases the use of assertions in Stainless to prove properties of fractions.
Set Union: Properties and Operations
Explains the union of sets, its properties, operations, and intersection.
Abstract Concepts: Semi-Ring
Explores the concept of a commutative semi-ring based on set theory properties.
Module Theory: Definitions and Examples
Introduces the definition and examples of A-modules, including sub-modules and ideals.
Intersection: Set Operations
Introduces set intersection, its properties, and its relation to arithmetic operations.