21 Übersetzungen
Neue Wörterbuch-Abfrage: Einfach jetzt tippen!
Anwendungsbeispiele Englisch
weitere Beispiele ...
- The choice of "c" does not change the completion (different choices yield the same concept of Cauchy sequence, so the same completion).
- A Cauchy sequence is a Cauchy net that is a sequence.
- Thus, a Banach space is a vector space with a metric that allows the computation of vector length and distance between vectors and is complete in the sense that a Cauchy sequence of vectors always converges to a well-defined limit that is within the space.
- Sometimes, it is useful to conclude that a sequence converges, even though the value to which it converges is unknown or irrelevant. In these cases, the concept of a Cauchy sequence is useful.
- Square integrability is equivalent to saying that a Cauchy sequence converges to a finite value under the weak topology: the space contains its limit points.
- A Cauchy sequence is a sequence whose terms ultimately become arbitrarily close together, after sufficiently many initial terms have been discarded.
- This sequence is a Cauchy sequence for the norm induced by the preceding inner product, which does not converge to a [...] function.
- A normed space, which is a special type of topological vector space, is a complete TVS (equivalently, a Banach space) if and only if every Cauchy sequence converges to some point (a property that is called [...]).
- 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 [...].
- In mathematics, a Cauchy sequence ([...]; [...]), named after Augustin-Louis Cauchy, is a sequence whose elements become arbitrarily close to each other as the sequence progresses.
© dict.cc English-German dictionary 2024
Enthält Übersetzungen von der TU Chemnitz sowie aus Mr Honey's Business Dictionary (nur Englisch/Deutsch).
Links auf das Wörterbuch oder auch auf einzelne Übersetzungen sind immer herzlich willkommen!