disjoint

[ dis-joint ]

verb (used with object)

1. to separate or disconnect the joints or joinings of.
2. to put out of order; derange.

verb (used without object)

1. to come apart.
2. to be dislocated; be out of joint.

adjective

1. Mathematics.
   1. (of two sets) having no common elements.
   2. (of a system of sets) having the property that every pair of sets is disjoint.
2. Obsolete. disjointed; out of joint.

disjoint

/ dɪsˈdʒɔɪnt /

verb

1. to take apart or come apart at the joints
2. tr to disunite or disjoin
3. to dislocate or become dislocated
4. tr; usually passive to end the unity, sequence, or coherence of

adjective

1. maths (of two sets) having no members in common
2. obsolete.
   disjointed

Word History and Origins

Origin of disjoint¹

1400–50; late Middle English disjointen to destroy < Anglo-French, Old French desjoint, past participle of desjoindre to disjoin

Example Sentences

And Frey also argues there is a “massive disjoint” between the political commentary on social media and what he sees on the ground.

From Washington Post

He said there’s a “massive disjoint” between what he’s hearing from those communities compared to what white progressive activists are saying.

From Seattle Times

For example, there is a concept known as the disjoint union of two sets A and B. Like the ordinary union, the disjoint union A ⨆ B has a copy of every element of A and a copy of every element of B. Unlike in the ordinary union, however, if A and B have an element in common, then the disjoint union A ⨆ B has two copies of that element, one of which somehow remembers that it came from A, and the other somehow remembers it came from B.

From Scientific American

There are many different ways to construct the disjoint union using the axioms of set theory, which will not produce exactly the same set but will, necessarily, produce isomorphic ones.

From Scientific American

Rather than wasting time arguing about which construction is the most canonical, it is more convenient to just sweep this ambiguity under the rug and refer to “the” disjoint union when one means to consider any particular set that satisfies the desired universal property.

From Scientific American