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 …

2019年3月8日 · The word "pairwise" in "pairwise disjoint" is superfluous: a collection of sets is disjoint if no element appears in more than one of the sets at a time, and this means that every …

The notation A ⊔ B A ⊔ B (and phrase "disjoint union") has (at least) two different meanings. The first is the meaning you suggest: a union that happens to be disjoint.

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 …

Pairwise disjoint is another way of saying 2 2 -wise disjoint, that is if you pick any two of these sets then they have empty intersection. A related term is mutually disjoint, which also means n …

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 …

2018年9月24日 · The following is the definition of disjoint union spaces in John Lee's "Introduction to Topological Manifolds": Let (Xα)α∈A (X α) α ∈ A be an indexed family of nonempty …

2016年6月9日 · Give an example of two permutations that are disjoint and two that aren't. This is the exercise that was supposedly given at the exam last year. Thing is, I couldn't find anything …

2016年8月28日 · I can clearly see how A and C would be disjoint. Essentially, if my understanding is correct, A and C are non-overlapping sets within the bound of set B. But, I'm not exactly …

I want to clarify what does represent disjoint vector space? I know that this terminology related to set is very easy, because disjoint set is for example given two set