The terms least upper greatest lower limit of a set are also sometimes used instead of the least upper bound greatest lower bound of a set, in one of the senses defined above. By the least upper bound greatest lower bound of a real-valued function, in particular of a sequence of real numbers, one means the least upper bound greatest lower bound of the set of its values cf.

Analogous definitions hold for a lower bound and the greatest lower bound.

The fundamental axiom of the real number system, or continuity axiom , may be expressed in the form Every non-empty set of real numbers bounded above has a real number supremum. Log in.

## Upper bounds for parent-identifying set systems

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## Bound | Definition of Bound by Merriam-Webster

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## Bounded set

Simple lower bounds for Bell numbers number of set partitions? Ask Question. Asked 6 years, 9 months ago. Active 6 years, 9 months ago. Viewed times.

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Addison-Wesley, Take 2K balls and K bags, and distribute so that there is at least 1 ball in each bag. You may get a sup of such configurations which may reach your goal.