Word.ws English Dictionary

ultrafilter

ultrafilter noun: a device that performs ultrafiltration.

Noun

ultrafilter (plural ultrafilters)

  1. A device that performs ultrafiltration.
  2. (whose subsets are partially ordered by inclusion) A proper filter which has a law of dichotomy for complements.
    • A proper filter of a set has these three properties: (1) it does not contain the empty set, (2) if it contains a subset then it contains all supersets of that subset, and (3) if it contains a pair of subsets then it also contains their intersection. To make it into an ultrafilter it must be made as...
  3. A filter (subset of a poset) that is maximal as a set with respect to the definition of proper filter.
    • An ultrafilter is maximal in the sense that if any other element of the poset not already in it were added to it, one could deduce (from the laws which define the filter, and the given ordering relation, i.e., the structure of the poset) that the resulting filter must be improper; i.e., it must...

Verb

ultrafilter (third-person singular simple present ultrafilters, present participle ultrafiltering, simple past and past participle ultrafiltered)

  1. (transitive) To filter by ultrafiltration.

ultrafilter meaning in Tamil

ultrafilter in Tamil

நுண் வடிப்பி

Forms of ultrafilter

Noun
pluralultrafilters
Verb
third-person singular presentultrafilters
present participleultrafiltering
past participleultrafiltered
pastultrafiltered

Origin of ultrafilter

From ultra- + filter.

Words formed from ultrafilter

Phrases with ultrafilter

Questions about ultrafilter

What does ultrafilter mean?
Ultrafilter means a device that performs ultrafiltration.
What is ultrafilter in Tamil?
Ultrafilter in Tamil is நுண் வடிப்பி. See Ultrafilter meaning in Tamil.
What part of speech is ultrafilter?
Ultrafilter can be a noun or a verb.
What is the plural of ultrafilter?
The plural of ultrafilter is ultrafilters.

Words near ultrafilter in the dictionary

  1. ultrafeudal
  2. ultrafiche
  3. ultrafiches
  4. ultrafidian
  5. ultrafidianism
  6. ultrafilter
  7. ultrafilterabilities
  8. ultrafilterability
  9. ultrafilterable
  10. ultrafiltered
  11. ultrafiltering

Source and license

Adapted from Wiktionary: ultrafilter (page history and authors); ultrafilter (Tamil Wiktionary) (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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Cite this entry: “ultrafilter.” Word.ws, https://word.ws/ultrafilter. Based on Wiktionary, CC BY-SA 4.0.