# 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; plural infima) of a subset S of a partially ordered set T is the greatest element in T that is less than...
- 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...
- concepts of essential supremum and essential infimum are related to the notions of supremum and infimum, but adapted to measure theory and functional...
- 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...
- if a sequence is decreasing and is bounded below by an infimum, it will converge to the infimum. If a sequence of real numbers is increasing and bounded...
- partially ordered set in which all subsets have both a supremum (join) and an infimum (meet). Complete lattices appear in many applications in mathematics and...
- (f\ominus b)(x)=\inf _{y\in B}[f(x+y)-b(y)]} , where "inf" denotes the infimum. In other words the erosion of a point is the minimum of the points in...
- Dirichlet's integral is bounded from below, the existence of an infimum is guaranteed. That this infimum is attained was taken for granted by Riemann (who coined...
- 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...
- are respectively the supremum (least upper bound) of S, denoted ⋁S, and infimum (greatest lower bound) of S, denoted ⋀S. In general, the join and meet...
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