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disjoint    音标拼音: [dɪsdʒ'ɔɪnt]
vt.
vi. (使)脱节,(使)解体,(使)脱臼

(使)脱节,(使)解体,(使)脱臼

disjoint
不相交

disjoint
不相交 互斥

disjoint
adj 1: having no elements in common
v 1: part; cease or break association with; "She disassociated
herself from the organization when she found out the
identity of the president" [synonym: {disassociate},
{dissociate}, {divorce}, {disunite}, {disjoint}]
2: separate at the joints; "disjoint the chicken before cooking
it" [synonym: {disjoint}, {disarticulate}]
3: make disjoint, separated, or disconnected; undo the joining
of [synonym: {disjoin}, {disjoint}] [ant: {bring together},
{join}]
4: become separated, disconnected or disjoint [synonym: {disjoin},
{disjoint}] [ant: {conjoin}, {join}]

Disjoint \Dis*joint"\, v. i.
To fall in pieces. --Shak.
[1913 Webster]


Disjoint \Dis*joint"\, a. [OF. desjoint, p. p. of desjoindre.
See {Disjoin}.]
Disjointed; unconnected; -- opposed to {conjoint}. --Milton.
[1913 Webster]


Disjoint \Dis*joint"\, n. [From OF. desjoint, p. p. of
desjoindre. See {Disjoint}, v. t.]
Difficult situation; dilemma; strait. [Obs.] "I stand in such
disjoint." --Chaucer.
[1913 Webster]


Disjoint \Dis*joint"\, v. t. [imp. & p. p. {Disjointed}; p. pr.
& vb. n. {Disjointing}.]
1. To separate the joints of; to separate, as parts united by
joints; to put out of joint; to force out of its socket;
to dislocate; as, to disjoint limbs; to disjoint bones; to
disjoint a fowl in carving.
[1913 Webster]

Yet what could swords or poisons, racks or flame,
But mangle and disjoint the brittle frame? --Prior.
[1913 Webster]

2. To separate at junctures or joints; to break where parts
are united; to break in pieces; as, disjointed columns; to
disjoint an edifice.
[1913 Webster]

Some half-ruined wall
Disjointed and about to fall. --Longfellow.
[1913 Webster]

3. To break the natural order and relations of; to make
incoherent; as, a disjointed speech.
[1913 Webster]


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  • Pairwise disjoint or disjoint? - Mathematics Stack Exchange
    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 means that any two collections of that family are disjoint, i e they share no common element (that is, a common subset), but that in addition, if you take one set
  • Why do we say ‘pairwise disjoint’, rather than ‘disjoint’?
    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 disjoint The second earliest use I found is in a paper "Differentiation with Respect to a Function of Limited Variation" (1918)
  • Whats the difference between MUTUALLY EXCLUSIVE and PAIRWISE DISJOINT?
    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 distributed from $0$ to $1$
  • What is the difference between disjoint union and union?
    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
  • general topology - What is the point of disjoint union? - Mathematics . . .
    Disjoint union is seemingly ubiquitous in mathematical literature but it is rarely ever used properly It is almost always the case that one forms $\bigsqcup_{i\in I} X_i$ and ends ups identifying
  • What are disjoint vector spaces? - Mathematics Stack Exchange
    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 combinations,by which vector space can be generated from it's vector subspace,must be always disjoint,or set of coefficients more correctly is it like this or it
  • Disjoint Union Topology - understanding operations on it
    A nice application of the disjoint union topology is it allows us to deduce the operator version of Kuratowski's closure-complement theorem (see Gardner and Jackson) as a corollary of the original theorem In its original form, the theorem states that a maximum of 14 distinct subsets can be obtained by repeatedly applying the closure and
  • What does pairwise disjoint mean? - Mathematics Stack Exchange
    $\begingroup$ 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 common element
  • general topology - Confusion on pairwise disjoint and disjoint . . .
    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) It seems to me that “classically” it is used for collectionwise disjoint, but at least to me (and @TonyK) it seems more useful to use it for pairwise disjoint and to
  • Probability: Are disjoint events independent? - Mathematics Stack Exchange
    Events are considered disjoint if they never occur at the same time For example, being a freshman and being a sophomore would be considered disjoint events Independent events are unrelated events For example, being a woman and being born in September are (roughly) independent events





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