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π-systems

π-systems is the plural of π-system.

Meaning of π-system

Noun

π-system (plural π-systems)

  1. A non-empty collection of subsets of a given set Ώ that is closed under non-empty finite intersections.
    • To see this, first check that #92;sigma(X#95;0,X#95;1,#92;dots)#61;#92;sigma(#92;mathcalF#95;0), where #92;textstyle#92;mathcalF#95;0#58;#61;#92;bigcup#92;infty#95;#123;k#61;0#125;#92;sigma(X#95;0,#92;dots,X#95;k) is a field and, in particular, a #92;boldsymbol#92;pi-system.2007, Rabi Bhattacharya, Edward C. Waymire, A Basic Course in Probability Theory, Springer, page 49

Questions about π-systems

What is π-systems the plural of?
Π-systems is the plural of π-system.

Words near π-systems in the dictionary

  1. π Day
  2. π-mer
  3. π-mers
  4. π-on
  5. π-system
  6. π-systems
  7. πon
  8. σ-additivity
  9. σ-algebra
  10. σ-algebras
  11. σ-compact

Source and license

Adapted from Wiktionary: π-systems (page history and authors); π-system (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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