Euclid's lemma

Related lectures (24)

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Covers the basics of number theory, RSA encryption, and Shor's period finding algorithm.

Covers the calculation of the greatest common divisor using polynomial methods and the Euclidean algorithm.

Covers algebraic structures, crystal planes with Miller indices, and coprime numbers.

Explores observability and controllability in linear systems, emphasizing the significance of input decoupling for observability.

Explores ideals in K[X], including PGCD, uniqueness, coprimality, and theorems of Bézout and Gauss.

Explores the Euclidean algorithm, Bézout's identity, extended Euclid algorithm, and commutative groups in mathematics.

Explores the common inaugural proposition of Euclid and Vitruvius, focusing on commensurability and geometric figure construction.

Explores the construction of rational numbers, irreducible fractions, equivalence, and simplification rules.

Explores solutions of the Fermat equation and the importance of coprime numbers.

Introduces integer numbers, well-ordering, induction principles, GCD, LCM, and Bezout's theorem.