Closed set and Partially ordered set

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

Difference between Closed set and Partially ordered set

Closed set vs. Partially ordered set

In geometry, topology, and related branches of mathematics, a closed set is a set whose complement is an open 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.

Similarities between Closed set and Partially ordered set

Closed set and Partially ordered set have 10 things in common (in Unionpedia): Integer, Interval (mathematics), Limit of a sequence, Mathematics, Rational number, Real number, Sequence, Set (mathematics), Subset, Topological space.

Integer

An integer (from the Latin ''integer'' meaning "whole")Integer 's first literal meaning in Latin is "untouched", from in ("not") plus tangere ("to touch").

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Interval (mathematics)

In mathematics, a (real) interval is a set of real numbers with the property that any number that lies between two numbers in the set is also included in the set.

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Limit of a sequence

As the positive integer n becomes larger and larger, the value n\cdot \sin\bigg(\frac1\bigg) becomes arbitrarily close to 1.

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Mathematics

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

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Rational number

In mathematics, a rational number is any number that can be expressed as the quotient or fraction of two integers, a numerator and a non-zero denominator.

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Real number

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.

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Sequence

In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed.

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Set (mathematics)

In mathematics, a set is a collection of distinct objects, considered as an object in its own right.

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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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Topological space

In topology and related branches of mathematics, a topological space may be defined as a set of points, along with a set of neighbourhoods for each point, satisfying a set of axioms relating points and neighbourhoods.

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The list above answers the following questions

What Closed set and Partially ordered set have in common
What are the similarities between Closed set and Partially ordered set

Closed set and Partially ordered set Comparison

Closed set has 46 relations, while Partially ordered set has 98. As they have in common 10, the Jaccard index is 6.94% = 10 / (46 + 98).

References

This article shows the relationship between Closed set and Partially ordered set. To access each article from which the information was extracted, please visit:

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