supremal
adjective as in strong fondness
Word Combinations
Example:The supremum of the set {1, 2, 3, 4} is 4.
Definition:The least upper bound of a set of real numbers; the smallest number that is greater than or equal to every number in the set.
Example:The supremal value of the function on the interval [0, 1] is 1.
Definition:The supremum, the least upper bound, of a set of numbers.
Example:The supremal bound of the function on the interval [0, 1] is 1.
Definition:The least upper bound of a set of numbers, i.e., the supremum.
Example:The supremal limit of the sequence is the least upper bound of all terms in the sequence.
Definition:The limit of a sequence or function as it approaches the least upper bound.
Example:The supremal condition for convergence of the series is that the terms tend to zero.
Definition:A condition related to the least upper bound or supremum of a set.
Example:Supremal theory plays a crucial role in real analysis and mathematical optimization.
Definition:A theory or branch of mathematics dealing with the concept of supremum and related concepts.
Example:The supremal set for the set of all real numbers is the set of all real numbers itself.
Definition:A set that contains all elements and has the least upper bound for any subset.
Example:The supremal function of a set of distribution functions is the upper envelope of the functions.
Definition:A function whose values are determined by the supremum of a related set of values.
Example:The supremal inequality for a sequence ensures that the sequence is bounded above.
Definition:An inequality involving the supremum of a set of values.
Example:Supremal approximation methods are used to find the nearest point in a convex set.
Definition:An approximation that is bounded by the supremum of a set or function.
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