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.
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Get the college algebra mug.Sigma-algebro or σ-algebro is a bro who studies probability and measure theory, as σ-algebra is one of the first things they learn in the field.
Case 1
Bro A: Josh is pulling all the girls, no wonder because he's smart and handsome and works as a quant
Bro B: Yeah Josh is a σ-algebro
Case 2
Sam had nightmares about σ-algebra during his PhD, and dropped out of school, he's failed to be a sigma-algebro
Bro A: Josh is pulling all the girls, no wonder because he's smart and handsome and works as a quant
Bro B: Yeah Josh is a σ-algebro
Case 2
Sam had nightmares about σ-algebra during his PhD, and dropped out of school, he's failed to be a sigma-algebro
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Get the sigma-algebro mug.a person who's still not over their X, mentioning them any chance they get in the disguise of an equation, often displaying obsessive, stalking behaviors.
Teacher: ''Find X''
Jane: ''you're being creepy again, maybe X left for a reason''
Teacher: ''Solve Y''
Jane: ''I don't know Y X left!!!''
Teacher: ''Answer the question. NOW.''
Jane: ''I can't believe it! You're such an algebra! Stop asking me and let's have a normal conversation for once!''
Jane: ''you're being creepy again, maybe X left for a reason''
Teacher: ''Solve Y''
Jane: ''I don't know Y X left!!!''
Teacher: ''Answer the question. NOW.''
Jane: ''I can't believe it! You're such an algebra! Stop asking me and let's have a normal conversation for once!''
by The unfortunate X January 2, 2024
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Sara Beth Alger is a very beautiful young girl. Shes in love with a guy that has a great personality just like hers. She trys to make everyone around her so happy even when she’s not. She is very funny and crackhead level of energy. She has been through alot in her past life so she is very insecure about who comes in her life. She overthinks every single thing but she is in love with the boy of her dreams @J. She plans the rest of her life with him. She is very careful with who she lets in her life but she knows that she has her boyfriend and best friend by her side every single day.
by Ulakshe September 7, 2020
Get the Sara Beth Alger mug.Sara Beth Alger is a very beautiful young girl. Shes in love with a guy that has a great personality just like hers. She trys to make everyone around her so happy even when she’s not. She is very funny and crackhead level of energy. She has been through alot in her past life so she is very insecure about who comes in her life. She overthinks every single thing but she is in love with the boy of her dreams @J. She plans the rest of her life with him. She is very careful with who she lets in her life but she knows that she has her boyfriend and best friend by her side every single day.
by Ulakshe September 7, 2020
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