Garfield
发表于 2025-3-21 18:48:09
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分开如此和谐
发表于 2025-3-21 20:24:34
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NICHE
发表于 2025-3-22 01:05:17
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anarchist
发表于 2025-3-22 06:38:17
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negotiable
发表于 2025-3-22 09:50:40
Independenceion the idea of independence is basic for probability theory. A significant part of probability theory (limit theorems, laws of large numbers, etc.) is devoted to independent random variables or, which is equivalent, to independent subalgebras.
Offensive
发表于 2025-3-22 14:18:48
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跑过
发表于 2025-3-22 18:46:27
Book 2002ov, and V.A.Rokhlin. ..Boolean Algebras in Analysis. is an exceptional definitive source on Boolean algebra as applied to functional analysis and probability. It is intended for all who are interested in new and powerful tools for hard and soft mathematical analysis. .
GLADE
发表于 2025-3-22 23:55:25
The Basic Apparatuser ., . ∈ .. The set ., furnished with the induced order, is a Boolean algebra with the same zero and unity as in .. By duality we easily show that for a subset X. to be a subalgebra it is sufficient that X. be closed under the operations ∨ . ∧ .. Finally, the induction demonstrates that each subalg
Perineum
发表于 2025-3-23 02:29:24
Vector Lattices and Boolean Algebrasfacts concerning Boolean algebras become more explicit when they are considered from the “vector” point of view. It is not a gross exaggeration to say that the theories of Boolean algebras and ordered vector spaces merge into a single huge area of functional analysis.
Substance-Abuse
发表于 2025-3-23 05:40:49
Structure of a Normed Boolean Algebra Chapter 2.) Each complete BA decomposes into homogeneous bands. We have seen in Chapter 2 that each homogeneous BA decomposes always into the product of simple (four-element) subalgebras. Now, on assuming that our BA is X normed, we will essentially strengthen this result.