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Ultrafilterability শব্দের বাংলা অর্থ: অতিস্বল্পতা
Ultrafilterability Meaning In Bengali অতিস্বল্পতা
Ultrafilterability
Definition
1) In mathematics, ultrafilterability refers to the property of being able to select a maximal filter (a collection of subsets of a set satisfying certain conditions) from a given family of subsets, in such a way that it extends any given filter containing the family.
2) In topology, ultrafilterability is a property of topological spaces that ensures the existence of certain ultrafilters, which are filters that do not contain any co-finite sets.
3) In set theory, ultrafilterability is related to the existence of ultrafilters on sets, which are filters that satisfy certain maximality properties and are used in various areas of mathematics such as measure theory and functional analysis.
Examples
Ultrafilterability Example in a sentence
1) Ultrafilterability is a key characteristic of certain types of porous materials.
2) The ultrafilterability of the filter allowed only the smallest particles to pass through.
3) The ultrafilterability of the membrane allows for precise separation of molecules based on size.
4) Engineers are studying the ultrafilterability of various materials to develop more efficient filtration systems.
5) The ultrafilterability of the sand helped purify the water by removing impurities.
6) Researchers are exploring the ultrafilterability of graphene for new applications in nanotechnology.
7) The ultrafilterability of the cloth prevented any particles larger than a certain size from passing through.
8) Understanding the ultrafilterability of these compounds is crucial for biomedical applications.
9) The ultrafilterability of the ceramic material made it ideal for use in high-performance filters.
10) Scientists are investigating the ultrafilterability of carbon nanotubes to improve water purification methods.
Part of Speech
Ultrafilterability (Noun)
Synonyms
Encyclopedia
In mathematics, ultrafilterability refers to the property of being able to select a maximal filter (a collection of subsets of a set satisfying certain conditions) from a given family of subsets, in such a way that it extends any given filter containing the family.
In topology, ultrafilterability is a property of topological spaces that ensures the existence of certain ultrafilters, which are filters that do not contain any co-finite sets.
In set theory, ultrafilterability is related to the existence of ultrafilters on sets, which are filters that satisfy certain maximality properties and are used in various areas of mathematics such as measure theory and functional analysis.
