Concept

Binary operation

Related lectures (26)

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.

Associative Operations: Tuples and Sets

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

Arithmetic with Base 2 Expansions

Covers binary addition, multiplication, and modular exponentiation in cryptography.

Associative Operations: Fundamentals

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

Arithmetic with Base 2 Expansions

Covers binary addition, multiplication, and modular exponentiation of integers.

Classification: Electrodynamic Systems

Explores the classification of electrodynamic systems, discussing benefits, disadvantages, and system structures.

Computation: information representation

Covers the conversion between binary and decimal numbers, addition, subtraction, multiplication, and division operations.

Vector Spaces: Definitions and Properties

Covers the definitions and properties of vector spaces, including axioms and examples.

Binary Counting

Covers the process of counting in binary and performing addition and multiplication operations.

Fold Reduce Operations

Explores fold (reduce) operations in parallel programming using Scala, covering associative operations, expression trees, parallel reduction, and array reduction.

Lie Algebra: Group Theory

Explores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.

Vector Spaces: Definition, R2

Introduces vector spaces with binary addition and scalar multiplication, exploring geometric examples in R2.

Commutation Groups: Euler's Totient Function

Explores commutative groups, Euler's Totient Function, and Cartesian products in group theory.

Evolution Operator and Quantum Image pt1

Covers the evolution operator in quantum mechanics and its applications in quantum systems.

Integer Representations: Magnitude & Complement

Explores integer representations, focusing on sign-and-magnitude, one's complement, two's complement, Excess-N, overflow, underflow, and binary multiplication.

Binary Operations: Addition and Multiplication

Covers binary operations, including addition and multiplication of integers represented in binary form.

Commutative Groups: Foundations for Cryptography

Covers commutative groups and their significance in cryptography.

Computer Architecture: Fibonacci Sequence

Covers the basics of computer architecture through building a machine for calculating the Fibonacci sequence in binary.

Vector Spaces: Definitions and Examples

Covers the definition and examples of vector spaces, including subspaces and linear transformations.

Addition of Fractions

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