English-German translations for upper limit

  • ObergrenzedieDas geht nicht ohne Obergrenze. Without an upper limit, it will not work. Die jährliche Dotierung darf diese Obergrenze nicht übersteigen. The annual allocation must not exceed this upper limit. Die Festlegung einer solchen Obergrenze ist gleichbedeutend mit der Festlegung einer Grenze für öffentliche Dienstleistungen. Imposing this upper limit is tantamount to putting an upper limit on public services.

Definition of upper limit

  • The upper limit of a sequence of real numbers is the real number which can be found as follows: remove the first term of the sequence in order to obtain the "first subsequence." Then remove the first term of the first subsequence in order to obtain the "second subsequence." Repeat the removal of first terms in order to obtain a "third subsequence," "fourth subsequence," etc. Find the supremum of each of these subsequences, then find the infimum of all of these supremums. This infimum is the upper limit

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