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Related lectures (28)
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Polynomials: Roots and Factorization
Explores polynomial roots, factorization, and the Euclidean algorithm in depth.
Euclid and Bézout: Algorithms and Theorems
Explores the Euclidean algorithm, Bézout's identity, extended Euclid algorithm, and commutative groups in mathematics.
Algebra: Integer Numbers and Principles
Introduces integer numbers, well-ordering, induction principles, GCD, LCM, and Bezout's theorem.
Number Theory: GCD and LCM
Covers GCD, LCM, and the Euclidean algorithm for efficient computation of GCD.
Polynomial Factorization over Finite Fields
Introduces polynomial factorization over finite fields and efficient computation of greatest common divisors of polynomials.
Number Theory: GCD and LCM
Covers GCD, LCM, and the Euclidean algorithm for efficient computation.
Polynomial Methods: GCD Calculation Summary
Covers the calculation of the greatest common divisor using polynomial methods and the Euclidean algorithm.
Quantum Algorithms: Shor Algorithm
Covers the analysis of measurements in the context of the Shor algorithm.
Properties of Euclidean Domains
Explores the properties of Euclidean domains, including gcd, lcm, and the Chinese remainder theorem for polynomial rings.
Number Theory: Greatest Common Divisor and Prime Factorization
Introduces greatest common divisor, prime factorization, and the Euclidean Algorithm.