Pairwise disjoint or disjoint? - Mathematics Stack Exchange
2017年6月24日 · 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
2019年3月9日 · 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 …
What is the difference between disjoint union and union?
2016年1月29日 · What is the difference between disjoint union and union? Ask Question Asked 9 years, 10 months ago Modified 9 years, 10 months ago
general topology - Confusion on pairwise disjoint and disjoint ...
2021年2月4日 · 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 …
Probability: Are disjoint events independent? [duplicate]
2016年6月20日 · 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.
elementary set theory - How do you show that two sets are disjoint …
2016年8月28日 · [Math Processing Error] A ∩ B ⊂ C and A ∪ C ⊂ B Show that A and C are disjoint. I can clearly see how A and C would be disjoint. Essentially, if my understanding is correct, A …
Why do we say ‘pairwise disjoint’, rather than ‘disjoint’?
2019年3月8日 · 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:
What's the difference between MUTUALLY EXCLUSIVE and …
2018年3月7日 · 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 ...
2020年11月13日 · 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. …
Definition of Disjoint Union Spaces - Mathematics Stack Exchange
2018年9月24日 · The following is the definition of disjoint union spaces in John Lee's "Introduction to Topological Manifolds": Let $ (X_ {\alpha})_ {\alpha\in A}$ be an indexed family …