What is supremum?
Understand the Problem
The question is asking for the definition and explanation of the mathematical concept of supremum, which refers to the least upper bound of a set in mathematical analysis.
Answer
The least upper bound of a set.
The supremum of a set is its least upper bound.
Answer for screen readers
The supremum of a set is its least upper bound.
More Information
In mathematics, the supremum can be thought of as the smallest number that is greater than or equal to every number in a particular set. It is possible for the supremum to be a member of the set, or it might not be.
Tips
A common mistake is to confuse the supremum (least upper bound) with the maximum (which must be a member of the set).
Sources
- Infimum and supremum - Wikipedia - en.wikipedia.org
- Definition of Supremum and Infimum of a Set | Real Analysis - youtube.com
- Supremum -- from Wolfram MathWorld - mathworld.wolfram.com
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