Examples of 'partially ordered set' in a sentence
Meaning of "partially ordered set"
partially ordered set: in mathematics, a set with a relation that is reflexive, antisymmetric, and transitive, but not necessarily totally ordered
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- A set that has a given, elsewhere specified partial order.
- The ordered pair comprising a set and its partial order.
How to use "partially ordered set" in a sentence
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partially ordered set
A partially ordered set can be represented as a category.
We may consider this partially ordered set as a category.
This definition is extendable to subsets of any partially ordered set.
This partially ordered set is always a distributive lattice.
Extracting the top elements from a partially ordered set.
Every partially ordered set is an upper set of itself.
A set with a partial order is called a partially ordered set also called a poset.
A partially ordered set.
A poset antimatroid has as its feasible sets the lower sets of a finite partially ordered set.
A closure operator on a partially ordered set is determined by its closed elements.
Difference operator generalizes to Möbius inversion over a partially ordered set.
Every nonempty inductive partially ordered set has a maximal element.
A partially ordered set in which every chain has a least upper bound.
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.
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Prove that P is a partially ordered set.
A partially ordered set is conveniently represented by a Hasse diagram.
Suppose that S is a partially ordered set.
B is a partially ordered set and the elements of B are also its bounds.
For the most general definition, see partially ordered set.
An order isomorphism from a partially ordered set to itself is called an order automorphism.
In mathematical order theory, an ideal is a special subset of a partially ordered set poset.
Every cofinal subset of a partially ordered set must contain all maximal elements of that set.
Both terms describe special subsets of a lattice ( or of any partially ordered set in general ).
Every countable partially ordered set can be embedded in the Turing degrees.
Filter ( mathematics ), a special subset of a partially ordered set.
Finally, we look at a partially ordered set of bubbling parking functions.
Let P { \ displaystyle P } be a finite partially ordered set.
A partially ordered set that is both a join-semilattice and a meet-semilattice is a lattice.
We say two elements a and b of a partially ordered set are comparable if a ≤ b or b ≤ a.
A partially ordered set can be treated as a category, using the order relation as the morphisms.
Antichain principle, Every partially ordered set has a maximal antichain.
A partially ordered set is a set X together with a binary relation ≤ that is reflexive, antisymmetric, and transitive.
More generally, Chomp can be played on any partially ordered set with a least element.
Finally, a partially ordered set may have many minimal upper bounds without having a least upper bound.
Order theory ** Zorn 's lemma, Every non-empty partially ordered set in which every chain i . e.
A subset F of a partially ordered set ( P, ≤ ) is a filter if the following conditions hold, F is nonempty.
Take X { \ displaystyle X } to be a partially ordered set.
An abstract polytope is a partially ordered set of elements or members, which obeys certain rules.
In combinatorics, every locally finite partially ordered set ( poset ) is assigned an incidence algebra.
Consider a partially ordered set ( P, ≤ ) that is a complete lattice.
A familiar real-life example of a partially ordered set is a collection of people ordered by genealogical descendancy.
A subset F of a partially ordered set ( P, ≤ ) is a filter if the following conditions hold,.
Hausdorff Maximum Principle, Every partially ordered set has a maximal totally ordered subset.
A lower bound of a subset S of a partially ordered set ( P, ≤ ) is an element a of P such that.
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These targets are set as cumulative national goals
Set days and time of regeneration or recharge
The units may be set to different channels
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
