"imply" nach Englisch mit Beispielen - Kollokationen-Wörterbuch Englisch
- Convergence in the Radon metric implies weak convergence of measures:
- It is therefore plain that uniform convergence implies pointwise convergence.
- Hence, convergence in mean square implies convergence in mean.
- Usually, convergence in distribution does not imply convergence almost surely.
- These two conditions imply convergence.
- Therefore convergence in norm implies weak convergence while the converse is not true in general.
- Global convergence in measure implies local convergence in measure.
- In particular, for series with values in any Banach space, absolute convergence implies convergence.
- When G is complete, absolute convergence implies unconditional convergence.
- Cohesion also has a fundamental role to play in progress towards economic and monetary union, which implies convergence between the economies of the Member States.
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