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Duality (order theory) and Monotonic function

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Duality (order theory) and Monotonic function

Duality (order theory) vs. Monotonic function

In the mathematical area of order theory, every partially ordered set P gives rise to a dual (or opposite) partially ordered set which is often denoted by Pop or Pd. In mathematics, a monotonic function (or monotone function) is a function between ordered sets that preserves or reverses the given order.

Similarities between Duality (order theory) and Monotonic function

Duality (order theory) and Monotonic function have 7 things in common (in Unionpedia): Hasse diagram, If and only if, Lattice (order), Mathematics, Order isomorphism, Order theory, Partially ordered set.

Hasse diagram

In order theory, a Hasse diagram is a type of mathematical diagram used to represent a finite partially ordered set, in the form of a drawing of its transitive reduction.

Duality (order theory) and Hasse diagram · Hasse diagram and Monotonic function · See more »

If and only if

In logic and related fields such as mathematics and philosophy, if and only if (shortened iff) is a biconditional logical connective between statements.

Duality (order theory) and If and only if · If and only if and Monotonic function · See more »

Lattice (order)

A lattice is an abstract structure studied in the mathematical subdisciplines of order theory and abstract algebra.

Duality (order theory) and Lattice (order) · Lattice (order) and Monotonic function · See more »

Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

Duality (order theory) and Mathematics · Mathematics and Monotonic function · See more »

Order isomorphism

In the mathematical field of order theory an order isomorphism is a special kind of monotone function that constitutes a suitable notion of isomorphism for partially ordered sets (posets).

Duality (order theory) and Order isomorphism · Monotonic function and Order isomorphism · See more »

Order theory

Order theory is a branch of mathematics which investigates the intuitive notion of order using binary relations.

Duality (order theory) and Order theory · Monotonic function and Order theory · See more »

Partially ordered set

In mathematics, especially order theory, a partially ordered set (also poset) formalizes and generalizes the intuitive concept of an ordering, sequencing, or arrangement of the elements of a set.

Duality (order theory) and Partially ordered set · Monotonic function and Partially ordered set · See more »

The list above answers the following questions

Duality (order theory) and Monotonic function Comparison

Duality (order theory) has 25 relations, while Monotonic function has 66. As they have in common 7, the Jaccard index is 7.69% = 7 / (25 + 66).

References

This article shows the relationship between Duality (order theory) and Monotonic function. To access each article from which the information was extracted, please visit:

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