About 50 results
Open links in new tab
  1. What is the difference between disjoint union and union?

    Jan 29, 2016 · 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.

  2. Pairwise disjoint or disjoint? - Mathematics Stack Exchange

    Jun 24, 2017 · This question is similar to: Confusion on pairwise disjoint and disjoint. If you believe it’s different, please edit the question, make it clear how it’s different and/or how the answers on that …

  3. 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 time).

  4. What does pairwise disjoint mean? - Mathematics Stack Exchange

    Mar 9, 2019 · 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 …

  5. 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:

  6. What's the difference between MUTUALLY EXCLUSIVE and 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 uniformly …

  7. What is the definition of disjoint union of two graphs in graph theory ...

    Feb 1, 2025 · Can you please provide me a definition of graph theory, and if possible provide also an example of disjoint union of two graphs? Thanks

  8. discrete mathematics - How can I show that two sets are disjoint ...

    Oct 21, 2022 · How can I show that two sets are disjoint? Ask Question Asked 3 years, 3 months ago Modified 3 years, 3 months ago

  9. elementary set theory - How do you show that two sets are disjoint ...

    Aug 28, 2016 · How do you show that two sets are disjoint? Ask Question Asked 9 years, 5 months ago Modified 9 years, 5 months ago

  10. opposite of disjoint - Mathematics Stack Exchange

    Jul 19, 2012 · Sets whose intersection is the empty set are called disjoint. What is the opposite of a disjoint set? For example the sets $\ {1,2\}$ and $\ {2,3\}$ satisfy this condition. I know that you can …