Maximal and minimal elements

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Related lectures (13)

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Discusses the maximal internal containing interval and its properties and solutions.

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Covers advanced topics in numerical analysis, focusing on techniques for solving complex mathematical problems.

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Explores Dedekind rings, integral extensions, and noetherian rings in algebraic structures.

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Explores orthonormal bases in Hilbert spaces, discussing their properties and generation using the Gram-Schmidt method.

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Explores functional spaces, linear applications, sublinear functionals, and the Hahn-Banach theorem.

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Explains the concept of infimum in real numbers and its properties.

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Explores irreducible factors, Noetherian rings, ideal stability, and unique factorization in rings.

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Covers the proof of Lagrange Theorem and explores quaternions, prime numbers, and equations.

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Covers relations, sequences, and posets, emphasizing properties like anti-symmetry and transitivity, and introduces arithmetic and geometric progressions.

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