Examples of 'transitive closure' in a sentence

Meaning of "transitive closure"

transitive closure - in mathematics, the smallest transitive relation that contains a given set of ordered pairs
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  • The smallest binary relation on X that includes R and is transitive.
  • The smallest transitive set that contains X.

How to use "transitive closure" in a sentence

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transitive closure
The transitive closure of a relation is a transitive relation.
Let denote the reflexive and transitive closure of.
The transitive closure of a relation is the smallest transitive relation containing that relation.
Reflexive symmetric transitive closure.
The transitive closure of the Young-Fibonacci graph is a partial order.
The time complexity of computing the transitive closure of a binary relation.
A transitive orientation of a graph is an acyclic orientation that equals its own transitive closure.
One of them is the transitive closure of a binary relation.
Tree walking automata Branching automata Transitive closure logic.
We can then take the transitive closure of this and get the optimal factorization.
To preserve transitivity, one must take the transitive closure.
The RS extension is the transitive closure of these relations.
Anything referenced from a reachable object is itself reachable ; more formally, reachability is a transitive closure.
This is done by transitive closure.
A full transitive closure is not needed ; a commutative transitive closure and even weaker forms suffice.

See also

START WITH that allows the computation of a transitive closure as part of a declarative query.
Transitive closure of directed graphs Warshall 's algorithm.
In set theory, the transitive closure of a binary relation.
Equivalently, a set is hereditarily finite if and only if its transitive closure is finite.
So, it is transitive closure of relation.
In fact, subnormality can be defined as the transitive closure of normality.
Taking the reflexive, transitive closure of this relation gives the reduction relation for this language.
It is also called the reflexive transitive closure of formula 1.
When transitive closure is added to second-order logic instead, we obtain PSPACE.
H ( λ ) consists of all sets whose transitive closure has cardinality less than λ.
The transitive closure of a binary relation can not, in general, be expressed in first-order logic FO.
Next consider the reflexive, transitive closure of the " successor " relation.
In Conway 's model, a is reflexive and transitive, whence its reflexive transitive closure should be a.
More precisely, it is the transitive closure of the relation "is the mother of.
Similarly, the class I is first-order logic with the commutative, transitive closure.
Efficient algorithms for computing the transitive closure of a graph can be found in Nuutila 1995.
Transitive Closure -- from MathWorld.
As usual, the derivation relation ∗ ⇒ is defined as the reflexive transitive closure of direct derivation ⇒.
Formula 7 is the transitive closure of formula 8, where is the identity relation, i . e.
The trace is defined as the symmetric, reflexive and transitive closure of ∼ { \ displaystyle \ sim.

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Examples of using Transitive
The results are both transitive and additive
A transitive relation is asymmetric if and only if it is irreflexive
This is an example of the transitive property in mathematics
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Examples of using Closure
Hull and closure strength and construction
Your job is to help facilitate that closure
Gap closure on accumulated excess nitrogen deposition
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