Geben Sie ein Wort oder eine Phrase in einer beliebigen Sprache ein 👆
Sprache:
Übersetzung und Analyse von Wörtern durch künstliche Intelligenz ChatGPT
Auf dieser Seite erhalten Sie eine detaillierte Analyse eines Wortes oder einer Phrase mithilfe der besten heute verfügbaren Technologie der künstlichen Intelligenz:
- wie das Wort verwendet wird
- Häufigkeit der Nutzung
- es wird häufiger in mündlicher oder schriftlicher Rede verwendet
- Wortübersetzungsoptionen
- Anwendungsbeispiele (mehrere Phrasen mit Übersetzung)
- Etymologie
Was (wer) ist complete metric space - definition
Complete metric space
METRIC SPACE IN WHICH CAUCHY SEQUENCE CONVERGES TO AN ELEMENT OF THE SPACE
Complete metric; Completeness (topology); Completion (topology); Complete (topology); Cauchy complete; Cauchy complete space; Cauchy completion; Cauchy completeness; Completion (metric space); Banach completion; Completeness (in topology); Complete space; Metric space completion; Completion of a metric space; Complete pseudometric space; Complete pseudometric
In mathematical analysis, a metric space is called complete (or a Cauchy space) if every Cauchy sequence of points in has a limit that is also in .
complete metric space
METRIC SPACE IN WHICH CAUCHY SEQUENCE CONVERGES TO AN ELEMENT OF THE SPACE
Complete metric; Completeness (topology); Completion (topology); Complete (topology); Cauchy complete; Cauchy complete space; Cauchy completion; Cauchy completeness; Completion (metric space); Banach completion; Completeness (in topology); Complete space; Metric space completion; Completion of a metric space; Complete pseudometric space; Complete pseudometric
<theory> A metric space in which every sequence that
converges in itself has a limit. For example, the space of
real numbers is complete by Dedekind's axiom, whereas the
space of rational numbers is not - e.g. the sequence a[0 ]=1;
a[n_+1 ]:=a[n ]/2+1/a[n ].
(1998-07-05)
Metric space
![[[Euler diagram]] of types of functions between metric spaces.](https://commons.wikimedia.org/wiki/Special:FilePath/Functions between metric spaces.svg?width=200 "[[Euler diagram]] of types of functions between metric spaces.")
SET EQUIPPED WITH A METRIC (DISTANCE FUNCTION)
Distance function; Metric spaces; Metric topology; Metric geometry; Bounded metric space; Bounded metric; Bounded space; Metric (mathematics); Quasimetric space; Translation-invariant metric; Translation invariant metric; Semi-metric; Semi metric space; Homogeneous metric; Quotient metric space; Semimetric; Postoffice metric; Post office metric; British rail metric; SNCF metric; Quasimetric; Quasi-metric; Premetric space; Prametric; Hemimetric space; Hemimetric; Semimetric space; Hemi-metric; Prametrizable; Distance to a set; Metric distance; General metric; Relation of norms and metrics; Inframetric; Post Office metric; Prametric space; Premetric; Finite metric space; Discrete metric space; Metric Geometry; Distance metric; Pseudoquasimetric space; Pseudo-semimetric; French railway metric; British Rail metric; Norm induced metric; Diameter of a metric space; Generalizations of metric spaces; Metric embeddings
In mathematics, a metric space is a set together with a notion of distance between its elements, usually called points. The distance is measured by a function called a metric or distance function.
