Lectures related to Distributivity (order theory)

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

Covers the operations in rings, ideals, classes, and quotient rings.

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

Covers the properties of subtraction and the distributivity of multiplication.

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

Explains the importance of parentheses in integer operations and how to simplify calculations using properties.

Explores the concept of fractions of rings and their uniqueness in ideals and quotients.

Introduces Z/mZ for writing equations with congruence classes in modular arithmetic.

Explores properties of relations, monotonicity, semantics of local variables, and translation in programs.

Explores Boolean algebra properties and optimization techniques using Karnaugh diagrams and De Morgan's theorems.

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

Explores the construction of quotient rings and the properties of well-defined operations within rings.

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

Explains how systems are composed in parallel or series.

Explains the cup and cap product in algebraic topology and their relation to homology groups.

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

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

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

Explores properties of matrices, endomorphisms, and linear applications in vector spaces.

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