Examples of 'totally ordered' in a sentence
Meaning of "totally ordered"
totally ordered ~ In mathematics, a totally ordered set is a set equipped with a binary relation that is reflexive, transitive, antisymmetric, and connects any pair of elements
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- That is equipped with a total order, that is a subset of (the ground set of) a partially ordered set whose partial order is a total order with respect to said subset.
How to use "totally ordered" in a sentence
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totally ordered
Hence a totally ordered set is a distributive lattice.
So every set of ordinals is totally ordered.
Z is a totally ordered set without upper or lower bound.
The ordering relation of a partially or totally ordered group.
I totally ordered the last one.
Partially and totally ordered sets.
A totally ordered set is called a chain.
The rankings themselves are totally ordered.
The totally ordered subset need not be definable in the theory.
The set of isolated subgroups is totally ordered by inclusion.
Totally ordered set.
Have revealed totally ordered.
Totally ordered subset has an upper bound contains at least one maximal element.
The world is not really totally ordered as previously believed.
A set with a total order on it is called a totally ordered set.
See also
Thus in a totally ordered set we can simply use the terms minimum and maximum.
A group with a compatible total order is a totally ordered group.
Every totally ordered set with the order topology is Tychonoff.
System is totally ordered.
Lamport clocks lead to a situation where all events in a distributed system are totally ordered.
It is easy to see that every finite totally ordered set is well ordered.
Sakura and Sasuke rebellious teacher Kakashi And shared lunches with me Have revealed totally ordered.
The integers comprise the smallest totally ordered set with neither an upper nor a lower bound.
A totally ordered set is often called a " chain.
We prove that trains protocol is a uniform and totally ordered broadcast protocol.
Any totally ordered group is torsion-free.
This ensures that the reference levels can be totally ordered lexicographically.
The maximal totally ordered sets are horizontal lines in ℝ2.
The principal ideals of OO are totally ordered by inclusion.
A totally ordered set without infinite descending chains is called well-ordered.
An Esterel program describes a totally ordered sequence of logical instants.
A sequence is usually indexed by the natural numbers, which are a totally ordered set.
All order topologies on totally ordered sets are hereditarily normal and Hausdorff.
For example, the real numbers form a totally ordered set.
The integers Z are totally ordered by the usual ordering.
A totally ordered set that satisfies the descending chain condition is called a well-ordered set.
This means that S is a totally ordered set.
A well-founded set is a totally ordered set in which there is no infinite sequence strictly decreasing.
Then X is said to be a totally ordered set.
Every well-founded, totally ordered set is order-isomorphic to a unique ordinal.
ZooKeeper can be viewed as an atomic broadcast system, through which updates are totally ordered.
Let Γ be a totally ordered abelian group.
The Prüfer p-groups are the only infinite groups whose subgroups are totally ordered by inclusion.
Let X be a totally ordered set.
Hausdorff Maximum Principle, Every partially ordered set has a maximal totally ordered subset.
Every finite subset of a non-empty totally ordered set has both upper and lower bounds.
In a totally ordered set, like the real numbers, the concepts are the same.
A set with a total order on it is called a totally ordered set, or a linearly ordered set.
Y " is totally ordered by the induced ordering from " X.
Typical examples of distributive lattice are totally ordered sets, Boolean algebras, and Heyting algebras.
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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
Examples of using Totally
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Totally different from those solid citizens
I think you totally pass for a lady
I totally understand if you never talk to me again
