# Completeness

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**Completeness** may refer to:

## Logic

## Mathematics

- The completeness of the real numbers, which implies that there are no "holes" in the real numbers.

- Complete metric space, a metric space where every Cauchy sequence in it converges.

- A uniform space is
*complete*if every Cauchy net in it converges (or equivalently every Cauchy filter in it converges).

- Complete measure, a measure spacewhere every subset of every null set is measurable. See complete measure.

- Completion (ring theory) at an ideal.

- Completeness (statistics), a statistic that does not allow an unbiased estimator of zero.

- Complete graph, an undirected graph in which every pair of vertices has exactly one edge connecting them.

- Complete category, a category
*C*where every diagram from a small category to*C*has a limit; it is*cocomplete*if every such functor has a colimit.

- completeness, a notion that generally refers to the existence of certain suprema or infima of some partially ordered set.

- Complete algebraic variety, an algebraic variety that satisfies an analog of compactness.

- Complete set of commuting operators (or CSCO), a set of commuting operators in quantum mechanics whose eigenvalues are sufficient to specify the physical state of a system.

## Computing

- Complete (complexity), a notion referring to a problem In computational complexity theory that all other problems in a class reduce to.
- completeness, found in knowledge base theory.

## Economics, finance, and industry

- Complete markets versus incomplete markets
- Completion (oil and gas wells), the process of making a well ready for production.

## Botany

**Complete**flower, a flower with both male and female reproductive structures as well as petals and sepals. See Sexual reproduction in plants.

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