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How do you use Powerset in a sentence? See 10+ example sentences showing how this word appears in different contexts, plus the exact meaning.

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Powerset in a sentence

Related words

Powerset | Powersets

Powerset meaning

Alternative spelling of power set.

Using Powerset

  • The main meaning on this page is: Alternative spelling of power set.
  • In the example corpus, powerset often appears in combinations such as: the powerset, powerset of, on powerset.

Context around Powerset

  • Average sentence length in these examples: 24 words
  • Position in the sentence: 3 start, 4 middle, 3 end
  • Sentence types: 10 statements, 0 questions, 0 exclamations

Often before:

unique 1× principal 1× union 1×

Often after:

lattice 2× construction 2× ultrafilters 1× replacement 1×

Sentence patterns with Powerset

These short patterns come directly from the example sentences and show how the word is often embedded:

algorithm the powerset construction that 1× her unique powerset would have 1× is the powerset of the 1× non principal powerset ultrafilters 1× of the powerset of s 1× on a powerset lattice 1× on a powerset s a 1× on the powerset lattice of 1×

Sentence openings and endings

Common sentence openings:

an ultrafilter on 1× for ultrafilters on 1× given a set 1× her unique powerset 1× in summary one 1× these are expensive 1×

Common sentence endings:

a powerset lattice 1× cases of comprehension 1× finite see below 1× force of evil 1× into a lattice 1× of all elements 1×

Words around Powerset

Just before it in the word index:

powerschool 4 powers 5.537 powerquicc 2 powerpuff 11 powerport 6 powerpoints 3

Just after it in the word index:

powersets 2 powershare 3 powershares 9 powersharing 22 powershell 10 powership 5

Similar in corpus frequency:

aab 13 aamer 13 aave 13 abdelmadjid 13 abdulkarim 13 abdulsalami 13

Corpus analysis for Powerset

  • In this selection, "powerset" usually appears in the middle of the sentence. The average example has 24 words, and this corpus slice is mostly made up of statements.
  • Around the word, unique, principal, union, lattice, construction and ultrafilters stand out and add context to how "powerset" is used.
  • Recognizable usage signals include algorithm the powerset construction that and her unique powerset would have. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "powerset" sits close to words such as aab, aamer and aave, which helps place it inside the broader word index.

Example types with powerset

The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:

Short example sentences

That is, the powerset of the powerset of S is Dedekind-finite (see below). (14 words)

Her unique powerset would have greatly come in handy against an all-powerful force of evil. (16 words)

These are expensive to construct—they are usually created using the powerset construction —but are very quick to use. (19 words)

Longer example sentences

For ultrafilters on a powerset ℘(S), a principal ultrafilter consists of all subsets of S that contain a given element s of S. Each ultrafilter on ℘(S) that is also a principal filter is of this form. (37 words)

So some of the power of comprehension was added back via the other existence axioms of ZF set theory (pairing, union, powerset, replacement, and infinity) which may be regarded as special cases of comprehension. (34 words)

This distinction is relevant in practice, but not in theory, as there exists an algorithm (the powerset construction ) that can transform any NFA into a more complex DFA with identical functionality. (31 words)

Example sentences (10)

That is, the powerset of the powerset of S is Dedekind-finite (see below).

Her unique powerset would have greatly come in handy against an all-powerful force of evil.

An ultrafilter on ℘(ω) is Ramsey if and only if it is minimal in the Rudin–Keisler ordering of non-principal powerset ultrafilters.

For ultrafilters on a powerset ℘(S), a principal ultrafilter consists of all subsets of S that contain a given element s of S. Each ultrafilter on ℘(S) that is also a principal filter is of this form.

Given a set S, a partial ordering ⊆ can be defined on the powerset P(S) by subset inclusion, turning (P(S),⊆) into a lattice.

In summary, one can say that every complete lattice is isomorphic to the image of a closure operator on a powerset lattice.

So some of the power of comprehension was added back via the other existence axioms of ZF set theory (pairing, union, powerset, replacement, and infinity) which may be regarded as special cases of comprehension.

Such a least cut does indeed exist and one has a closure operator on the powerset lattice of all elements.

These are expensive to construct—they are usually created using the powerset construction —but are very quick to use.

This distinction is relevant in practice, but not in theory, as there exists an algorithm (the powerset construction ) that can transform any NFA into a more complex DFA with identical functionality.

Common combinations with powerset

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "powerset" in a sentence?
An example: "That is, the powerset of the powerset of S is Dedekind-finite (see below)." This page contains 10+ example sentences with the word "powerset" from authentic English texts.
What does "powerset" mean?
Powerset means: Alternative spelling of power set.
How many example sentences with "powerset" are there?
Voorbeeldzinnen.info contains at least 10+ example sentences with "powerset", drawn from a database of millions of English sentences.