Partially ordered set

Related lectures (30)

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Introduces categories as collections of objects with morphisms and identity morphisms.

Introduces posets, Hasse diagrams, and equivalence relations on sets.

Covers topics on relations, sequences, and summations, including lattices, recurrence relations, and sigma notation.

Covers the concept of the Cartesian product, emphasizing the order of elements in pairs.

Covers the concepts of permutations and combinations, explaining how to calculate them with examples.

Explores the force-extension relation of polymers through experiments and models.

Covers the combination of lattice elements, partial orders, complete lattices, and Tarski's Fixed Point theorem.

Explores large scale stability in dynamical systems, emphasizing non-increasing trajectories and strict decrease of a specific function.

Explores the concept of maximal solutions in advanced analysis.