# filter base

## filter base

[′fil·tər ‚bās]
(mathematics)
A family of subsets of a given set with the property that it does not include the empty set, and the intersection of any finite number of members of the family includes another member.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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In Section 3, we define (L, M)-double fuzzy filter and (L, M)-double fuzzy filter base and then study relations between them.
The pair (B, [B.sup.*]) of maps B, [B.sup.*] : [L.sup.X] [right arrow] M is called an (L, M)-double fuzzy filter base (briefly, (L, M)-dffb) on X if it fulfills the following axioms:
Due to the FMAB NEO filter's polished steel housing with a closed filter base, the filter is completely and effectively shielded, regardless of how it is mounted.
A filter base [GAMMA] on X is said to [gamma]-SR-converges to x [member of] X if for each V [member of] [SR.sub.[gamma]*] (X), there exists F [member of] [GAMMA] such that F [subset or equal to] V.
A filter base [GAMMA] is said to be [gamma]-SR-accumulate at x [member of] X if [intersection] F [not equal to] [phi], for every V [member of] [SR.sub.[gamma]*] (X) and every F [member of] [GAMMA].
The filter system is designed to ensure that oil in the filter is allowed to drain out as completely as possible before the filter is actually separated from the filter base. To ensure that, the filter base incorporates a spring-loaded cup that maintains contact with the filter seal.
As the filter is turned further, the seal is broken, but a slightly longer than usual spud on the filter base allows whatever small amount of oil is remaining in the filter to drain out before the filter is completely removed.
Honda said all of the engines are equipped with an oil-cooler adapter on the oil filter base and offer an available factory-installed oil cooler to optimize oil temperatures.

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