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Related lectures (31)
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Matrix Multiplication
Covers matrix multiplication, properties, and the identity matrix in algebraic operations.
Boolean Algebra: Properties and Optimization
Covers Boolean algebra properties, optimization techniques, and the importance of valid groups in Karnaugh maps.
Multiplication: Properties and Definitions
Explains the definition and properties of integer multiplication in various scenarios.
Embeddings of Number Fields
Explores embeddings of number fields, types, signatures, lattices, and determinants.
Matrix Algebra: Addition, Scalar Multiplication, Transpose
Introduces matrix algebra operations and their properties, including commutativity and distributivity.
Quantization: Topological Operators
Covers the quantization of topological operators and Ising models on square lattices.
Dedekind Cuts: Rational Numbers
Explores Dedekind cuts in rational numbers, essential for constructing real numbers.
Ring Structure: Polynomials and Coefficients
Covers the ring structure, focusing on polynomials and coefficients, including associativity, distributivity, and the product of rings.
Integer Optimization: Theory and Applications
Covers the fundamentals of integer optimization, including integer programming, dynamic programming, and approximation algorithms.
Module Theory: Definitions and Examples
Introduces the definition and examples of A-modules, including sub-modules and ideals.