What does supremum mean?

Definitions for supremum

Here are all the possible meanings and translations of the word supremum.


  1. supremum(Noun)

    (of a subset) the least element of the containing set that is greater or equal to all elements of the subset. The supremum may or may not be a member of the subset.


  1. Supremum

    In mathematics, the supremum of a subset S of a totally or partially ordered set T is the least element of T that is greater than or equal to all elements of S. Consequently, the supremum is also referred to as the least upper bound. If the supremum exists, it is unique meaning that there will be only one supremum. If S contains a greatest element, then that element is the supremum; otherwise, the supremum does not belong to S. For instance, the negative real numbers do not have a greatest element, and their supremum is 0. The existence or non-existence of a supremum is often discussed in connection with subsets of real numbers, rational numbers, or any other well-known mathematical structure for which it is immediately clear what it means for an element to be "greater-than-or-equal-to" another element. The definition generalizes easily to the more abstract setting of order theory, where one considers arbitrary partially ordered sets. The concept of supremum coincides with the concept of least upper bound, but not with the concepts of minimal upper bound, maximal element, or greatest element. The supremum is in a precise sense dual to the concept of an infimum.

How to pronounce supremum?

  1. Alex
    US English

How to say supremum in sign language?

  1. supremum


  1. Chaldean Numerology

    The numerical value of supremum in Chaldean Numerology is: 2

  2. Pythagorean Numerology

    The numerical value of supremum in Pythagorean Numerology is: 9

Images & Illustrations of supremum

  1. supremumsupremumsupremumsupremumsupremum

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"supremum." Definitions.net. STANDS4 LLC, 2020. Web. 10 Apr. 2020. <https://www.definitions.net/definition/supremum>.

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