Definition of Infimum. Meaning of Infimum. Synonyms of Infimum

Here you will find one or more explanations in English for the word Infimum. Also in the bottom left of the page several parts of wikipedia pages related to the word Infimum and, of course, Infimum synonyms and on the right images related to the word Infimum.

Definition of Infimum

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Meaning of Infimum from wikipedia

- In mathematics, the infimum (abbreviated inf; pl.: infima) of a subset S {\displaystyle S} of a partially ordered set P {\displaystyle P} is the greatest...
- fashion for a function (see limit of a function). For a set, they are the infimum and supremum of the set's limit points, respectively. In general, when...
- In mathematics, the concepts of essential infimum and essential supremum are related to the notions of infimum and supremum, but adapted to measure theory...
- unique supremum (also called a least upper bound or join) and a unique infimum (also called a greatest lower bound or meet). An example is given by the...
- points of a metric space relative to the intrinsic metric is defined as the infimum of the lengths of all paths from the first point to the second. A metric...
- infima. Roughly speaking, these functions map the supremum/infimum of a set to the supremum/infimum of the image of the set. Depending on the type of sets...
- partially ordered set in which all subsets have both a supremum (join) and an infimum (meet). A conditionally complete lattice satisfies at least one of these...
- {\textstyle \bigvee S,} and similarly, the meet of S {\displaystyle S} is the infimum (greatest lower bound), denoted ⋀ S . {\textstyle \bigwedge S.} In general...
- bound is said to be a tight lower bound, a greatest lower bound, or an infimum, if no greater value is a lower bound. An upper bound u of a subset S of...
- limit infimum and limit supremum of a set sequence always exist and can be used to determine convergence: the limit exists if the limit infimum and limit...