
Pairwise disjoint or disjoint? - Mathematics Stack Exchange
Jun 24, 2017 · The term disjoint refers to a collection of subsets, it means that its subsets are disjoint. The term pairwise disjoint refers to a familly of collections of subsets. It not only …
What does pairwise disjoint mean? - Mathematics Stack Exchange
Mar 9, 2019 · Typically, pairwise disjoint means that no two sets in the collection have a member in common. The answer to your first question is no, in fact each pair of distinct subsets has a …
general topology - Confusion on pairwise disjoint and disjoint ...
Feb 4, 2021 · The term disjoint may serve as a shortcut either for pairwise disjoint or collectionwise disjoint depending on the used convention (but obviously not both at the same …
What is the difference between disjoint union and union?
Jan 29, 2016 · What is the difference between disjoint union and union? Ask Question Asked 9 years, 10 months ago Modified 9 years, 10 months ago
Why do we say ‘pairwise disjoint’, rather than ‘disjoint’?
Mar 8, 2019 · A "disjoint union" is a union of pairwise disjoint sets; one does not say "pairwise disjoint union". To corroborate my point of view, here is a citation from Halmos:
Probability: Are disjoint events independent? [duplicate]
Jun 20, 2016 · Two events are disjoint, or exclusive, if their intersection is an empty set, which in turn infers it to have zero probability. The intersection of disjoint events is impossible.
What's the difference between MUTUALLY EXCLUSIVE and …
Mar 7, 2018 · With that definition, disjoint sets are necessarily mutually exclusive, but mutually exclusive events aren't necessarily disjoint. Consider points in the square with each coordinate …
elementary set theory - Does distinct sets mean disjoint sets ...
Nov 13, 2020 · I am confused here that whether distint and disjoint sets mean the same? I have to find the intersection of two sets. It could be empty set if these two sets are disjoint. And it could …
elementary set theory - How do you show that two sets are …
Aug 28, 2016 · How do you show that two sets are disjoint? Ask Question Asked 9 years, 3 months ago Modified 9 years, 3 months ago
About the union of disjoint sets and the disjoint union
Dec 4, 2019 · It depends on context, but I would say that you are unlikely to cause confusion if you write A ⊔ B A ⊔ B for the union of A A and B B, where A A and B B are disjoint subsets of …