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Image (mathematics) and Lattice (order)

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

Difference between Image (mathematics) and Lattice (order)

Image (mathematics) vs. Lattice (order)

In mathematics, an image is the subset of a function's codomain which is the output of the function from a subset of its domain. A lattice is an abstract structure studied in the mathematical subdisciplines of order theory and abstract algebra.

Similarities between Image (mathematics) and Lattice (order)

Image (mathematics) and Lattice (order) have 8 things in common (in Unionpedia): Boolean algebra (structure), Cartesian product, Intersection (set theory), Inverse function, Power set, Semilattice, Subset, Union (set theory).

Boolean algebra (structure)

In abstract algebra, a Boolean algebra or Boolean lattice is a complemented distributive lattice.

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Cartesian product

In set theory (and, usually, in other parts of mathematics), a Cartesian product is a mathematical operation that returns a set (or product set or simply product) from multiple sets.

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Intersection (set theory)

In mathematics, the intersection A ∩ B of two sets A and B is the set that contains all elements of A that also belong to B (or equivalently, all elements of B that also belong to A), but no other elements.

Image (mathematics) and Intersection (set theory) · Intersection (set theory) and Lattice (order) · See more »

Inverse function

In mathematics, an inverse function (or anti-function) is a function that "reverses" another function: if the function applied to an input gives a result of, then applying its inverse function to gives the result, and vice versa.

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Power set

In mathematics, the power set (or powerset) of any set is the set of all subsets of, including the empty set and itself, variously denoted as, 𝒫(), ℘() (using the "Weierstrass p"),,, or, identifying the powerset of with the set of all functions from to a given set of two elements,.

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Semilattice

In mathematics, a join-semilattice (or upper semilattice) is a partially ordered set that has a join (a least upper bound) for any nonempty finite subset.

Image (mathematics) and Semilattice · Lattice (order) and Semilattice · See more »

Subset

In mathematics, a set A is a subset of a set B, or equivalently B is a superset of A, if A is "contained" inside B, that is, all elements of A are also elements of B. A and B may coincide.

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Union (set theory)

In set theory, the union (denoted by ∪) of a collection of sets is the set of all elements in the collection.

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The list above answers the following questions

Image (mathematics) and Lattice (order) Comparison

Image (mathematics) has 36 relations, while Lattice (order) has 109. As they have in common 8, the Jaccard index is 5.52% = 8 / (36 + 109).

References

This article shows the relationship between Image (mathematics) and Lattice (order). To access each article from which the information was extracted, please visit:

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