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Explore Boundedness through 7 example sentences from English, with an explanation of the meaning and related words like finiteness or finitude. Ideal for language learners, writers and word enthusiasts.

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Boundedness in a sentence

Boundedness meaning

The state or quality of being bounded.

Synonyms of Boundedness

finiteness finitude quality infiniteness

Related words

Other words often associated with Boundedness or its synonyms:

infinitude select character choice degree property prize level attribute calibre superior lineament

Using Boundedness

  • The main meaning on this page is: The state or quality of being bounded.
  • Useful related words include: finiteness, finitude, quality, infiniteness.
  • In the example corpus, boundedness often appears in combinations such as: the boundedness.

Context around Boundedness

  • Average sentence length in these examples: 24 words
  • Position in the sentence: 5 start, 2 middle, 0 end
  • Sentence types: 7 statements, 0 questions, 0 exclamations

Often before:

implies 1× uniform 1×

Often after:

consider 1× reflects 1× principle 1×

Sentence patterns with Boundedness

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

boundedness consider the 1× concept of boundedness has nothing 1× finiteness implies boundedness but not 1× however boundedness should not 1× of the boundedness of fano 1× properties whereas boundedness and completeness 1× the boundedness reflects the 1× the uniform boundedness principle yields 1×

Sentence openings and endings

Common sentence openings:

birkar kurdish refugee 1× boundedness consider the 1× for example compactness 1× however boundedness should 1× note that this 1× the boundedness reflects 1×

Common sentence endings:

a bounded poset 1× but not conversely 1× completeness are not 1× is itself bounded 1× minimal model program 1× of this fact 1×

Words around Boundedness

Just before it in the word index:

bounded 286 boundaryless 4 boundary 1.565 boundaries 2.063 bound 2.887 bouncy 145

Just after it in the word index:

bounden 5 bounder 4 bounding 60 boundless 130 boundlessly 3 bounds 528

Similar in corpus frequency:

aaba 10 aafc 10 aaib 10 aalbers 10 abbate 10 abbesses 10

Corpus analysis for Boundedness

  • In this selection, "boundedness" usually appears near the start of the sentence. The average example has 24 words, and this corpus slice is mostly made up of statements.
  • Around the word, implies, uniform, consider, reflects and principle stand out and add context to how "boundedness" is used.
  • Recognizable usage signals include boundedness consider the and concept of boundedness has nothing. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "boundedness" sits close to words such as aaba, aafc and aaib, which helps place it inside the broader word index.

Example types with boundedness

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

Boundedness Consider the function : which is a continuous function from R to itself. (13 words)

The uniform boundedness principle yields a simple non-constructive proof of this fact. (13 words)

For example, compactness and connectedness are topological properties, whereas boundedness and completeness are not. (14 words)

Longer example sentences

Note that this concept of boundedness has nothing to do with finite size, and that a subset S of a bounded poset P with as order the restriction of the order on P is not necessarily a bounded poset. (39 words)

However boundedness should not in general be confused with "finite", which refers to the number of elements, not to how far the set extends; finiteness implies boundedness, but not conversely. (30 words)

The boundedness reflects the fact that beyond a certain point money ceases being useful at all, as the size of any economy at any point in time is itself bounded. (30 words)

Example sentences (7)

However boundedness should not in general be confused with "finite", which refers to the number of elements, not to how far the set extends; finiteness implies boundedness, but not conversely.

Birkar, Kurdish refugee turned Cambridge University professor, has been given the medal “for the proof of the boundedness of Fano varieties and for contributions to the minimal model program”.

Boundedness Consider the function : which is a continuous function from R to itself.

For example, compactness and connectedness are topological properties, whereas boundedness and completeness are not.

Note that this concept of boundedness has nothing to do with finite size, and that a subset S of a bounded poset P with as order the restriction of the order on P is not necessarily a bounded poset.

The boundedness reflects the fact that beyond a certain point money ceases being useful at all, as the size of any economy at any point in time is itself bounded.

The uniform boundedness principle yields a simple non-constructive proof of this fact.

Common combinations with boundedness

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "boundedness" in a sentence?
An example: "However boundedness should not in general be confused with "finite", which refers to the number of elements, not to how far the set extends; finiteness implies boundedness, but not conversely." This page contains 7 example sentences with the word "boundedness" from authentic English texts.
What does "boundedness" mean?
Boundedness means: The state or quality of being bounded.
What are synonyms of "boundedness"?
Common synonyms of "boundedness" include: finiteness, finitude, quality, infiniteness.
How many example sentences with "boundedness" are there?
Voorbeeldzinnen.info contains 7 example sentences with "boundedness", drawn from a database of millions of English sentences.