Lectures related to Distributive property

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.

Explores Euclid's first proposition, ancient symmetria, and Vitruvius' architectural figures.

Explains how systems are composed in parallel or series.

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

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

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

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

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

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

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

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

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.

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

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

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