Lectures related to Convolution: Properties and Applications

System Composition

Explains how systems are composed in parallel or series.

Natural Numbers: Properties and Operations

Explores natural numbers, their properties, operations, and practical applications like calculating hours in a year.

Boolean Algebra: Properties and Optimization

Covers Boolean algebra properties, optimization techniques, and the importance of valid groups in Karnaugh maps.

Multiplication: Properties and Definitions

Explains the definition and properties of integer multiplication in various scenarios.

Polynomials and Endomorphisms

Covers the properties of rings, examples of rings, and polynomials.

Associative Operations: Fundamentals

Covers associative and commutative operations in parallel programming, using mathematical examples and discussing challenges in preserving associativity.

Cohomology Real Projective Space

Covers cohomology in real projective spaces, focusing on associative properties and algebraic structures.

Matrix Multiplication

Covers matrix multiplication, properties, and the identity matrix in algebraic operations.

Ring Structure: Polynomials and Coefficients

Covers the ring structure, focusing on polynomials and coefficients, including associativity, distributivity, and the product of rings.

Q is a Field

Covers the properties of rational numbers and introduces the concept of an ordered field in Q.

Elliptic Curves: Group Structure and Isomorphism

Explores the group structure and isomorphism of elliptic curves, including inverses, associativity, and compactification to the torus.

Matrix Algebra: Addition, Scalar Multiplication, Transpose

Introduces matrix algebra operations and their properties, including commutativity and distributivity.

Composition of Applications in Mathematics

Explores the composition of applications in mathematics and the importance of understanding their properties.

Natural Numbers

Covers the concept of natural numbers, including properties like commutativity and associativity.

Fourier Transform: Properties and Convolution

Covers the properties and convolution of the Fourier transform.

Physics 1: Vectors and Dot Product

Covers the properties of vectors, including commutativity, distributivity, and linearity.

Discrete Signals and Linear Systems

Explores discrete signals, linear systems, categorization examples, and convolution properties in signal processing.

Distributions & Interpolation Spaces

Explores convolution operators, interpolation spaces, and function convergence in different spaces.

Abstract Concepts: Semi-Ring

Explores the concept of a commutative semi-ring based on set theory properties.

Auxiliary Assertions in Stainless

Showcases the use of assertions in Stainless to prove properties of fractions.