Unique factorization domain

Related lectures (31)

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Covers GCD, LCM, and the Euclidean algorithm for efficient computation of GCD.

Covers GCD, LCM, and the Euclidean algorithm for efficient computation.

Focuses on designing a controller to meet specific requirements by shaping the response of closed-loop transfer functions.

Explores polynomial factorization over a field, emphasizing eigenvalues and irreducible components.

Covers the fundamental theorem of arithmetic, focusing on equivalence and irreducibility of integers.

Introduces greatest common divisor, prime factorization, and the Euclidean Algorithm.

Demonstrates the relationship between the gradient and the divergence of a scalar field.

Explores tensor spaces, unitary representations, and prime factorization in mathematical presentations.

Explores prime numbers, coprime integers, and their properties in number theory.

Explores algebraic geometry, focusing on rings, bodies, quotient rings, and irreducible polynomials.