definition
A device which separates a suspended, dissolved, or particulate matter from a fluid, solution, or other substance; any device that separates one substance from another.
definition
Electronics or software that separates unwanted signals (for example noise) from wanted signals or that attenuates selected frequencies.
definition
Any item, mechanism, device or procedure that acts to separate or isolate.
example
He runs an email filter to catch the junk mail.
definition
Self-restraint in speech.
example
He's got no filter, and he's always offending people as a result.
definition
A non-empty upper set (of a partially ordered set) which is closed under binary infima (a.k.a. meets).
example
If (1) the universal set (here, the set of natural numbers) were called a "large" set, (2) the superset of any "large" set were also a "large" set, and (3) the intersection of a pair of "large" sets were also a "large" set, then the set of all "large" sets would form a filter.