Examples of 'partially ordered' in a sentence
Meaning of "partially ordered"
A term used in mathematics or set theory to describe a relation between elements of a set in which some pairs are related while others are not, and the relation may not hold transitivity
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- Equipped with a partial order; when the partial order is specified, often construed with by.
How to use "partially ordered" in a sentence
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partially ordered
See also examples of partially ordered sets.
A partially ordered set can be represented as a category.
Gelatin is a common example of a partially ordered structure in a mesophase.
This partially ordered set is always a distributive lattice.
Special cases of partially ordered sets are.
Partially ordered algebraic systems.
We may consider this partially ordered set as a category.
This definition is extendable to subsets of any partially ordered set.
This set is partially ordered by set inclusion.
Extracting the top elements from a partially ordered set.
Every partially ordered set is an upper set of itself.
Schemata can be partially ordered.
Molecules are partially ordered as in a crystal but more mobile as in a liquid.
These graphs are closely related to partially ordered sets and lattices.
A partially ordered set.
See also
The lattice of subgroups is the set of all subgroups partially ordered by inclusion.
Subsets of partially ordered sets inherit the order.
The least upper bound property can be generalized to the setting of partially ordered sets.
An interval in a partially ordered vector space is a convex set.
A poset antimatroid has as its feasible sets the lower sets of a finite partially ordered set.
A can be partially ordered by continuation.
I also applied in practice the technology for the creation of databases from partially ordered texts.
Language of partially ordered sets.
Partially ordered monoid.
Every nonempty inductive partially ordered set has a maximal element.
Partially ordered by inclusion.
An order isomorphism from a partially ordered set to itself is called an order automorphism.
Partially ordered spaces.
A set with a partial order is called a partially ordered set also called a poset.
Is a partially ordered ring.
Difference operator generalizes to Möbius inversion over a partially ordered set.
A closure operator on a partially ordered set is determined by its closed elements.
As mentioned above, the domains of computation are always partially ordered.
A partially ordered set in which every chain has a least upper bound.
Incidence algebras of locally finite partially ordered sets are associative algebras considered in combinatorics.
Partially ordered sets and sets with other relations have applications in several areas.
Other areas include topology of partially ordered sets and Bruhat orders.
Is partially ordered by.
We will prove that P is a partially ordered set.
In a partially ordered set there may be some elements that play a special role.
Prove that P is a partially ordered set.
This is partially ordered under inclusion and the subsets with m elements are maximal.
Suppose that S is a partially ordered set.
A partially ordered set is conveniently represented by a Hasse diagram.
We say two elements a and b of a partially ordered set are comparable if a ≤ b or b ≤ a.
Such partially ordered sets are therefore completely described by their Hasse diagrams.
For the most general definition, see partially ordered set.
Every cofinal subset of a partially ordered set must contain all maximal elements of that set.
Galois connection, a type of correspondence between two partially ordered sets.
B is a partially ordered set and the elements of B are also its bounds.
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Examples of using Partially
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To plead fully or partially guilty of imputed action
Partially in progress and partially under negotiation
Primary school population is partially balanced as to gender
Examples of using Ordered
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I have been ordered to bring you in for questioning
We want the one that she ordered
I was ordered to remove my group from possible capture