disjoint


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Related to disjoint: Disjoint set

disjoint

(dĭs-joint′)
v. dis·jointed, dis·jointing, dis·joints
v.tr.
1. To put out of joint; dislocate.
2. To take apart at the joints.
3. To destroy the coherence or connections of.
4. To separate; disjoin.
v.intr.
1. To come apart at the joints.
2. To become dislocated.
adj. Mathematics
Having no elements in common. Used of sets.

disjoint

To disarticulate or to separate bones from their natural positions in a joint.
References in periodicals archive ?
Let x [not equal to] y [member of] X, then there are disjoint vg-open sets U, V [member of] vGO(X) [contains as member] x [member of] U and y [member of] V.
3] space if for every vg-closed sets F and a point x [not member of] F, [there exists] disjoint U, V [member of] vO(X) [contains as member] F [subset or equal to] U, x [member of] V;
3] space if for every vg-closed sets F and a point x [not member of] F, [there exists] disjoint U, V [member of] vGO(X) [contains as member] F [subset or equal to] U, x [member of] V;
4] space if for each pair of disjoint vg-closed sets F and H, [there exists] disjoint U, V [member of] vO(X) [contains as member] F [subset or equal to] U, H [subset or equal to] V;
4] space if for each pair of disjoint vg-closed sets F and H, [there exists] disjoint U, V [member of] vgO(X) [contains as member] F [subset or equal to] U, H [subset or equal to] V.
Let Y and Z be disjoint infinite sets and let X = Y [union] Z and [tau] = {[phi], Y, Z, X}.
2] space, x a point in X and C the disjoint v--compact subspace of X not containing x.
2] space, a point and disjoint r-compact subspace can be separated by disjoint v--open sets.
2] space, a point and disjoint semi-compact subspace can be separated by disjoint semi-open sets.
Therefore there exists disjoint open sets U and V in Y such that f(x) [member of] U, f(y) [member of] V, then [f.
3])space at a point x [member of] X if for every closed subset F of X not containing x, there exists disjoint v--open sets G and H such that F [subset] G and x [member of] H.
3] space if for a closed set F and a point x [not member of] F, there exists disjoint v--open sets G and H such that F [subset] G and x [member of] H.