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 …

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

Jun 9, 2016 · Define the disjoint permutation. (I'm guessing it's referring to say when two permutations are disjoint?). Give an example of two permutations that are disjoint and two that …

Mar 8, 2019 · Although this paper does not state an explicit definition of "disjoint" for more than two "classes", the construction described in the quote requires "disjoint" to mean pairwise …

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 …

Aug 28, 2016 · 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 clear …

as I know this symbol denotes tensor or Kronecker product, I have idea that disjoint vector spaces should have also disjoint vector subspace,which means that coefficient of linear …

$\begingroup$ 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 …

Sep 24, 2018 · 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 of nonempty …

Oct 4, 2012 · Can someone clarify for me the side note found in Axler's Linear Algebra Done Right, that is: Direct sums of subspaces are analogous to disjoint union of subsets. I am not …