Get to know Denumerable better with 4 real example sentences, the meaning and synonyms like countable or enumerable.
Denumerable in a sentence
Denumerable meaning
Capable of being assigned a bijection to the natural numbers. Applied to sets which are not finite, but have a one-to-one mapping to the natural numbers.
Synonyms of Denumerable
Using Denumerable
- The main meaning on this page is: Capable of being assigned a bijection to the natural numbers. Applied to sets which are not finite, but have a one-to-one mapping to the natural numbers.
- Useful related words include: countable, enumerable, numerable, calculable.
- In the example corpus, denumerable often appears in combinations such as: also denumerable.
Context around Denumerable
- Average sentence length in these examples: 22.3 words
- Position in the sentence: 0 start, 3 middle, 1 end
- Sentence types: 4 statements, 0 questions, 0 exclamations
Corpus analysis for Denumerable
- In this selection, "denumerable" usually appears in the middle of the sentence. The average example has 22.3 words, and this corpus slice is mostly made up of statements.
- Around the word, sometimes and sets stand out and add context to how "denumerable" is used.
- Recognizable usage signals include and sometimes denumerable is used and denumerable the denumerable sets are. That gives this page its own corpus information beyond isolated example sentences.
- By corpus frequency, "denumerable" sits close to words such as aaai, aani and aarne, which helps place it inside the broader word index.
Example types with denumerable
The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:
He later proved that the set of all algebraic numbers is also denumerable. (13 words)
However, this terminology is not universally followed, and sometimes "denumerable" is used as a synonym for "countable". (17 words)
A countable set is a set which is either finite or denumerable; the denumerable sets are therefore the infinite countable sets. (21 words)
He also proved that the set of all ordered pairs of natural numbers is denumerable; this implies that the set of all rational numbers is also denumerable, since every rational can be represented by a pair of integers. (38 words)
A countable set is a set which is either finite or denumerable; the denumerable sets are therefore the infinite countable sets. (21 words)
However, this terminology is not universally followed, and sometimes "denumerable" is used as a synonym for "countable". (17 words)
Example sentences (4)
A countable set is a set which is either finite or denumerable; the denumerable sets are therefore the infinite countable sets.
He also proved that the set of all ordered pairs of natural numbers is denumerable; this implies that the set of all rational numbers is also denumerable, since every rational can be represented by a pair of integers.
He later proved that the set of all algebraic numbers is also denumerable.
However, this terminology is not universally followed, and sometimes "denumerable" is used as a synonym for "countable".
Common combinations with denumerable
These word pairs occur most frequently in English texts: