Lectures related to Irreducible fraction

Decimal Expansion: Division and Periodicity

Delves into decimal expansion of rational numbers through Euclidean division, emphasizing periodicity and illustrative examples.

Rational Numbers Construction

Explores the construction of rational numbers, irreducible fractions, equivalence, and simplification rules.

Information Measures: Entropy and Information Theory

Explains how entropy measures uncertainty in a system based on possible outcomes.

Decimal Numbers

Explains the conversion process from fractions to decimal numbers and vice versa.

Lesson Design: Backwards Design

Explores designing lessons with a focus on learning goals and constraints.

Rapid Decay of Whittaker Functions

Covers the rapid decay of Whittaker functions for upsets, focusing on the assumption of Vize = 1.

Rational Numbers: Amplification and Simplification

Covers rational numbers, amplifying and simplifying fractions, and calculating values.

Real Numbers: Properties and Operations

Covers the properties and operations of real numbers, including divisibility rules and the concept of irreducible fractions.

Projective Plane Curves

Introduces projective plane curves, degrees, components, multiplicities, intersection numbers, tangents, and multiple points, culminating in the statement of Bézout's theorem and its consequences.

Polynomials: Roots and Factorization

Explores polynomial roots, factorization, and the Euclidean algorithm in depth.

Decimal and Periodic Numbers

Explains decimal and periodic numbers, illustrating with examples and discussing rational numbers.

Integration of Rational Functions

Covers the integration of rational functions, decomposition into irreducible factors, and step-by-step integration examples.

Addition of Fractions

Covers the addition of fractions and properties of rational numbers, emphasizing associativity and summing fractions with the same denominator.

Heterogeneous Catalysis: Adsorption & Kinetics

Explores adsorption mechanisms, elementary kinetics, active sites, and transport effects in heterogeneous catalysis.

Field of Fractions: Definition and Properties

Covers the definition and properties of a field of fractions.

Preparation: Polynomial Integration

Covers the preparation for polynomial integration with examples and emphasis on polynomial division.

Integration of Rational Functions

Covers the integration of rational functions and the decomposition into irreducible factors.

Euclidean Division and Simple Elements

Explains polynomial division, factor decomposition, and rational function simplification.

Factoring Polynomials: Complexity and Algorithms

Delves into the complexity of factoring polynomials and the implications for security.