Lectures related to Q is a Field

Properties of Rational Multiplication

Covers the properties of rational multiplication through fractions and simple calculations, leading to the resolution of division problems.

Commutative Groups: Foundations for Cryptography

Covers commutative groups and their significance in cryptography.

Elliptic Curves: Group Structure and Isomorphism

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

Operations in Z

Covers addition properties and operations in the set of integers Z.

Natural Numbers

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

Cohomology Real Projective Space

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

Associative Operations: Fundamentals

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

System Composition

Explains how systems are composed in parallel or series.

Convolution: Properties and Applications

Covers the concept of convolution and its properties in signal processing.

Group Theory: Direct Sum of Abelian Groups

Explores the arithmetic of direct sum of abelian groups and the process of turning a monoid into a commutative group.

Polynomials and Endomorphisms

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

Composition of Applications in Mathematics

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

Group Theory: Basics

Covers the basics of group theory, including definitions, examples, and isometries.

Associative Operations: Tuples and Sets

Explores associative operations on tuples and sets, demonstrating their properties through various examples and proofs.

Order of Operations: Unnecessary Parentheses

Discusses the significance of moving parentheses before calculations and the rules for simplifying expressions and prioritizing operations.

Natural Numbers: Properties and Operations

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

Multiplication: Properties and Definitions

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

Higher Homotopy Groups: Generalization and Structure

Explores the generalization and structure of higher homotopy groups, including their abelianness, historical context, and properties of H spaces.

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.