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Lecture
Algebraic Operations
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Related lectures (32)
Rational Numbers: Definitions and Operations
Covers the definition and operations involving rational numbers.
Division in Rational Numbers
Explores division in rational numbers and the extension of addition from integers.
Polynomials, Division, and Ideals
Explores polynomials, their operations, and the concept of ideals in polynomial rings.
Modular Arithmetic: Operations and Polynomials
Covers modular arithmetic operations and polynomial calculations modulo N with various examples.
Multiplication in Rational Numbers
Covers the extension of addition and multiplication operations in rational numbers.
Rational Numbers: Amplification and Simplification
Covers rational numbers, amplifying and simplifying fractions, and calculating values.
Subtraction: Properties and Definitions
Covers the properties and definitions of subtraction using addition and multiplication as a basis.
Element by element operations
MOOC: MATLAB and Octave for Beginners
Covers element by element operations in MATLAB and Octave for beginners.
Complex Numbers: Operations and Representations
Explores complex numbers, their operations, and representations in Cartesian and polar forms.
Element-Wise Operations
MOOC: MATLAB and Octave for Beginners
Covers element-wise operations in MATLAB and Octave using matrices and vectors.
Group Theory: Basics
Covers the basics of group theory, including definitions, examples, and isometries.
Definition of Complex Numbers Field
MOOC: Analysis I
MOOC: Analysis I (part 2) : Introduction to complex numbers
Introduces complex numbers and defines their field, emphasizing properties and operations.
Natural Numbers
Covers the concept of natural numbers, including properties like commutativity and associativity.
Matrix Multiplication
MOOC: Linear Algebra (Part 1)
Covers matrix multiplication, properties, and the identity matrix in algebraic operations.
Linear Equations and Matrices: Solution Methods, Elementary Operations
MOOC: Warm-up for EPFL
MOOC: Linear Algebra (Part 1)
Explores solution methods and elementary operations for linear equations and matrices, demonstrating techniques to simplify systems and obtain solutions.
Analyse 2: Division euclidienne
Explores the process of division euclidienne in polynomials, emphasizing the importance of polynomial degrees during operations.
Decimal Expansion: Division and Periodicity
Delves into decimal expansion of rational numbers through Euclidean division, emphasizing periodicity and illustrative examples.
Division: Properties and Quotient
Explores the properties of division in natural numbers and its relation to multiplication.
Rational Numbers: Construction and Properties
Covers the construction and properties of rational numbers, including fractions and equivalence, with proofs on commutativity.
Addition of Fractions
Covers the addition of fractions and properties of rational numbers, emphasizing associativity and summing fractions with the same denominator.
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