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Least upper bound
is always a great word to know.
So is independent variable. Does it mean:
| the letter used as the symbol for the ratio of the circumference of a circle to its diameter, or the ratio itself: 3.141592+ |
| a variable in a functional relation whose value determines the value or values of other variables, such as x in the relation y = 3x |
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Computing Dictionary
least upper bound definition
theory(lub or "join", "supremum") The least upper bound of two elements a and b is an upper bound c such that a <= c and b <= c and if there is any other upper bound c' then c <= c'. The least upper bound of a set S is the smallest b such that for all s in S, s <= b. The lub of mutually comparable elements is their maximum but in the presence of incomparable elements, if the lub exists, it will be some other element greater than all of them.
Lub is the dual to greatest lower bound.
(In LaTeX, "<=" is written as \sqsubseteq, the lub of two elements a and b is written a \sqcup b, and the lub of set S is written as \bigsqcup S).
(1995-02-03)
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