English » Arabic

Translations for „infimum“ in the English » Arabic Dictionary (Go to Arabic » English)

infimum <infimum; infima / infimums> N

infimum

أكبر حد أدنى لقيمتين

infimum COMPUT

الحد الأدنى الأعظم

Monolingual examples (not verified by PONS Editors)

English

For a set, they are the infimum and supremum of the set's limit points, respectively. en.wikipedia.org

For nonlinear convex minimization, the associated maximization problem obtained by substituting the supremum operator for the infimum operator is not a problem of convex optimization, as conventionally defined. en.wikipedia.org

As the last three examples show, the infimum of a set does not have to belong to the set. en.wikipedia.org

This infimum might a priori be. en.wikipedia.org

That is, the infimum extends over all sequences of elements of which cover, with the convention that the infimum is infinite if no such sequence exists. en.wikipedia.org

We notice that the infimum is taken over compact sets and hence can be replaced by a minimum. en.wikipedia.org

The supremum of finite sets is given by the least common multiple and the infimum by the greatest common divisor. en.wikipedia.org

For infinite sets, the supremum will always be 0 while the infimum can well be greater than 1. en.wikipedia.org

An order in which all finite sets have both a supremum and an infimum is called a lattice. en.wikipedia.org

The dual concept of supremum, the greatest lower bound, is called infimum and is also known as meet. en.wikipedia.org

Browse the dictionary

English

Look up "infimum" in other languages

German

Choose your language Deutsch | English | Español | Français | Italiano | Polski