Concept
Multiplicative group
Related lectures (28)
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Covers hermitian operators, group multiplication rules, and Casimir operators in quantum mechanics.
Arithmetic Functions: Multiplicative Functions and Dirichlet Convolution
Covers multiplicative functions, Dirichlet convolution, and the Mobius function in arithmetic functions.
Hermite-Minkowski Theorems: Number Fields and Ideal Classes
Explores Hermite-Minkowski theorems in number fields and ideal classes.
Completion of a Field: Algebraic Closure
Covers the completion of a field, focusing on algebraic closure and function convergence.
Fast Fourier Transform: Polynomial Multiplication
Explains the Fast Fourier Transform algorithm for polynomial multiplication efficiency.
Linearity of Expectations
Covers the proof of the linearity of expectations for independent random variables and discusses properties of expected value.
Characteristic Polynomial and Similar Matrices
Covers characteristic polynomials, similar matrices, eigenvalues, and algebraic multiplicities.
Ring of Polynomials: Coefficients and Multiplication
Covers the ring of polynomials, focusing on coefficients and multiplication.
Cryptographic Zoo: Fundamentals
Covers fundamental concepts of cryptography, including primitives, security, encryption, and authentication, exploring symmetric and public-key cryptography, key agreement, commitment schemes, and hash functions.
Commutation Groups: Euler's Totient Function
Explores commutative groups, Euler's Totient Function, and Cartesian products in group theory.