Lectures related to Multiplication sign

Provides a recap of group theory, defining a group as a set with a multiplication operation.

Explores quantum random number generation, discussing the challenges and implementations of generating good randomness using quantum devices.

Introduces complex numbers to solve unsolvable equations, exploring their properties and relationship with real numbers.

Explains the Open Mapping Theorem for holomorphic maps between Riemann surfaces.

Covers the construction of integers through equivalence relations and their properties in mathematics.

Introduces linear combinations in vector spaces, operations, and polynomials of degree 2.

Covers vector equations, linear combinations, and the span of vectors.

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

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

Explores polynomial operations, properties, and subspaces in vector spaces.

Explores complex numbers, Euler's formula, Moivre's formula, and proof by induction.

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

Explores chain conditions in module theory, emphasizing Noetherian modules and stabilizing sequences of submodules.

Covers the definition of vector spaces, subspaces, and linear combinations of vectors.

Explores Schur's lemma and its applications in representations of an associative algebra over an algebraically closed field.

Covers the Bombieri-Vinogradov theorem and its implications for prime gaps and multiplicative sieve inequalities.