What does prefilter mean?
Definitions for prefilter
pre·filter
This dictionary definitions page includes all the possible meanings, example usage and translations of the word prefilter.
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Wiktionary
prefilternoun
A filter used in advance.
prefilterverb
To filter in advance.
The prefiltered data was fed to a computer program for analysis.
Wikipedia
prefilter
In mathematics, a filter on a set X {\displaystyle X} is a family B {\displaystyle {\mathcal {B}}} of subsets such that: X ∈ B {\displaystyle X\in {\mathcal {B}}} and ∅ ∉ B {\displaystyle \emptyset \notin {\mathcal {B}}} if A ∈ B {\displaystyle A\in {\mathcal {B}}} and B ∈ B {\displaystyle B\in {\mathcal {B}}} , then A ∩ B ∈ B {\displaystyle A\cap B\in {\mathcal {B}}} If A , B ⊂ X , A ∈ B {\displaystyle A,B\subset X,A\in {\mathcal {B}}} , and A ⊂ B {\displaystyle A\subset B} , then B ∈ B {\displaystyle B\in {\mathcal {B}}} A filter on a set may be thought of as representing a "collection of large subsets". Filters appear in order, model theory, set theory, but can also be found in topology, from which they originate. The dual notion of a filter is an ideal. Filters were introduced by Henri Cartan in 1937 and as described in the article dedicated to filters in topology, they were subsequently used by Nicolas Bourbaki in their book Topologie Générale as an alternative to the related notion of a net developed in 1922 by E. H. Moore and Herman L. Smith. Order filters are generalizations of filters from sets to arbitrary partially ordered sets. Specifically, a filter on a set is just a proper order filter in the special case where the partially ordered set consists of the power set ordered by set inclusion.
Numerology
Chaldean Numerology
The numerical value of prefilter in Chaldean Numerology is: 2
Pythagorean Numerology
The numerical value of prefilter in Pythagorean Numerology is: 1
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"prefilter." Definitions.net. STANDS4 LLC, 2024. Web. 25 Apr. 2024. <https://www.definitions.net/definition/prefilter>.
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