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greatest lower bound
<theory> (glb, meet, infimum) The greatest lower bound of two
elements, a and b is an element c such that c <= a and c <= b
and if there is any other lower bound c' then c' <= c.
The greatest lower bound of a set S is the greatest element b
such that for all s in S, b <= s. The glb of mutually
comparable elements is their minimum but in the presence of
incomparable elements, if the glb exists, it will be some
other element less than all of them.
glb is the dual to least upper bound.
(In LaTeX "<=" is written as \sqsubseteq, the glb of two
elements a and b is written as a \sqcap b and the glb of set
S as \bigsqcap S).
(1995-02-03)
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Nearby terms:
GRE « greater than « greatest common divisor « greatest lower bound » Great Renaming » Great Runes » Great Worm
This article was derived from the Free Online Dictionary of Computers and is available under ther terms of the GNU Free Documentation License.
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