Examples of 'complete metric' in a sentence
Meaning of "complete metric"
complete metric: A complete metric refers to a system of measurement that includes all necessary units and standards for quantifying various quantities such as length, weight, and volume
How to use "complete metric" in a sentence
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complete metric
This remains true in other complete metric spaces.
Complete metric space.
This generalises the notion of a complete metric space.
Difference between complete metric space and completely metrizable space.
A space is topologically complete if it is homeomorphic to a complete metric space.
For subsets of a complete metric space these meanings coincide but in general they do not.
This thesis studies homogeneous classes of complete metric spaces.
Let be a complete metric space in which the distance between two points and is denoted.
Show that closed subspace of a complete metric space is complete.
A space is called Polish if it is metrizable with a separable and complete metric.
A Polish space with a distinguished complete metric is called a Polish metric space.
A separable space is Polish if its topology comes from a complete metric.
Complete metric space Completely uniformizable space Metrizable space.
Real numbers form a topological space and a complete metric space.
Conversely, every complete metric space with approximate midpoints is a length space.
See also
The positive real numbers with distance function is a complete metric space.
In a complete metric space, a closed set is a set which is closed under the limit operation.
Every Euclidean space is also a complete metric space.
The unit interval is a complete metric space, homeomorphic to the extended real number line.
A Polish space is a second countable topological space that is metrizable with a complete metric.
The Hawaiian earring can be given a complete metric and it is compact.
A Polish space is a second-countable topological space that is metrizable with a complete metric.
A topological space homeomorphic to a separable complete metric space is called a Polish space.
This automatically gives R { \ displaystyle R } the structure of a topological ring ( and even of a complete metric space ).
Generalising the notion of complete metric space, one can also define completeness for uniform spaces.
Because of this, the set of rational numbers is not a complete metric space.
BCT1 also shows that every complete metric space with no isolated points is uncountable.
Formally, an iterated function system is a finite set of contraction mappings on a complete metric space.
BCT1 Every complete metric space is a Baire space.
The Baire category theorem says that every complete metric space is a Baire space.
The following theorem holds, Let S be a topological space and M a complete metric space.
In particular a separable complete metric space ( M, d ) is a Radon space.
For example, they exist as subspaces in every perfect, complete metric space.
With this distance, is a complete metric space, i.e. all Cauchy sequences converge.
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Examples of using Complete
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To complete monetary union through economic convergence
Two cymbals complete the drum kit
A complete application for a heritage grant includes
Examples of using Metric
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Metric tons of instant milk with cereals
All figures are in metric tonnes per year
This metric is not commonly reported or available
