In mathematics, a ternary equivalence relation is a kind of ternary relation analogous to a binary equivalence relation. A ternary equivalence relation is symmetric, reflexive, and transitive, where those terms are meant in the sense defined below. The classic example is the relation of collinearity among three points in Euclidean space. In an abstract set, a ternary equivalence relation determines a collection of equivalence classes or pencils that form a linear space in the sense of incidence geometry. In the same way, a binary equivalence relation on a set determines a partition.
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mathematics, a ternaryequivalencerelation is a kind of ternaryrelation analogous to a binary equivalencerelation. A ternaryequivalencerelation is symmetric...
mathematics, a ternaryrelation or triadic relation is a finitary relation in which the number of places in the relation is three. Ternary relations may...
In mathematics, an equivalencerelation is a binary relation that is reflexive, symmetric and transitive. The equipollence relation between line segments...
function Ternary conditional operator for a list of ternary operators in computer programming languages Ternary Exclusive or Ternaryequivalencerelation MDN...
relation Serial relationTernaryrelation (or triadic, 3-adic, 3-ary relation) Relation may also refer to: Directed relationRelation algebra, an algebraic...
Balanced ternary is a ternary numeral system (i.e. base 3 with three digits) that uses a balanced signed-digit representation of the integers in which...
smallest transitive relation over X {\displaystyle X} containing R {\displaystyle R} , Equivalence closure the smallest equivalencerelation over X {\displaystyle...
All three of the domains of a homogeneous ternaryrelation are the same set. Consider the ternaryrelation R "x thinks that y likes z" over the set of...
property holds in the affine plane defined by a ternary ring, then there is an equivalencerelation between "vectors" defined by pairs of points from...
primitive notions in ordered geometry are points A, B, C, ... and the ternaryrelation of intermediacy [ABC] which can be read as "B is between A and C"....
{\displaystyle f} on a set S {\displaystyle S} may be viewed as a ternaryrelation on S {\displaystyle S} , that is, the set of triples ( a , b , f (...
binary relation, such as "a < b". One does not say that east is "more clockwise" than west. Instead, a cyclic order is defined as a ternaryrelation [a,...
Alexander V. Kuznetsov, either of the following connectives – the first one ternary, the second one quinary – is by itself functionally complete: either one...
congruence ~ is an equivalencerelation that is compatible with the semigroup operation. That is, a subset ~ ⊆ S × S that is an equivalencerelation and x ~ y...
Propositional calculus in which there are more than two truth values such as ternary logic – System including an indeterminate valuePages displaying short descriptions...
for equivalence or non-equivalence of the reduced forms for the determinant of ternary forms. He drived two lemmas for the relation of determinants with...
points of this projective plane are the equivalence classes of the set K3 \ {(0, 0, 0)} modulo the equivalencerelation x ~ kx, for all k in K×. Lines in the...
as defined here can be obtained by taking their join, leading to a ternaryrelation, followed by a projection that removes the middle component. For example...
is an equivalencerelation on the type of entities ranged over by α and β. For instance, Hume's principle, and Basic Law V. accessibility relation In modal...
introduced in 1959 by Michael O. Rabin and Dana Scott, who also showed their equivalence to DFAs. NFAs are used in the implementation of regular expressions:...
hereditary Class (Ur-)Element Ordinal number Extensionality Forcing Relationequivalence partition Set operations: intersection union complement Cartesian...
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