A sigma algebra (or σ-algebra) is to set algebras what sigma males are to males. The Borel hierarchy (the analog of the male hierarchy) is not a σ-algebra at any countable rank; instead the σ-algebra has the largest possible rank -- ω_1, the least uncountable ordinal (under suitable conditions e.g. the Polish space is uncountable. This is known as the non-collapse of the Borel hierarchy).
A σ-algebra is closed under countable union, countable intersection, and relative complement. This means σ-algebras arise naturally in the study of measure theory, where the measurable sets form a σ-algebra.
A σ-algebra is closed under countable union, countable intersection, and relative complement. This means σ-algebras arise naturally in the study of measure theory, where the measurable sets form a σ-algebra.
The algebra of Lebesgue-measurable subsets of R (i.e. the sets of real numbers with a well-defined "length", which is possibly infinity) form a sigma algebra.
by sigma_algebra_grindset June 05, 2022
by Oliver the cool man October 02, 2023
You could possibly encounter one o these moggers at kai cenat's house. They give out maximum amounts of YouTube shorts brainrot
by Smilingreaper420 April 10, 2024
"Oh man, I'm worried about my son, I overheard him say he had 'Skibidi Rizz from Sigma Ohio'"
"Oh I'm sorry to hear that, you should get him checked out"
"Oh I'm sorry to hear that, you should get him checked out"
by Silly GoonMan January 03, 2024
by jsanormal_person124okie September 17, 2024
by Correlophus March 06, 2024
Person 1: Hey man, what happened to your grandma?
Person 2: I had to follow sigma grindset rule #235.
Person 2: I had to follow sigma grindset rule #235.
by JustKJ January 06, 2024