Definition of denumerable in English:

denumerable

adjective dɪˈnjuːm(ə)rəb(ə)ldēˈn(y)o͞omərəb(ə)l

Mathematics

Able to be counted by a one-to-one correspondence with the infinite set of integers.
〔数〕可数的
Example sentencesExamples
- The non-denumerable infinity of real numbers (and thus of points in space and of events in time) is much larger than the merely denumerable infinity of integers.
- The paper discusses denumerable sets, i.e. those which are in 1-1 correspondence with the natural numbers.

Derivatives

denumerability

noun dɪnjuːm(ə)rəˈbɪlɪti

Mathematics

At least five mathematicians tried to prove denumerability of the value set, to which the names of two of them are attached.
Example sentencesExamples
- I don't know how to approach it… but know that it is based on the concept of denumerability of real numbers.
- Combining with his proof of the denumerability of rational numbers, it proves the existence of irrational numbers without actually constructing any irrational number.
- The list includes closure, well-ordering, well-foundedness, and various cardinalities, such as finitude and denumerability.

denumerably

adverb

Mathematics

Imagine the hotel filled to capacity with denumerably many guests.
Example sentencesExamples
- This type of space requires a slightly different treatment to spaces of finite, or denumerably infinite, dimensions.
- The most famous was his diagonal argument which seems to show that there must be orders of infinity, and specifically that the non-denumerably infinite is distinct from the denumerably infinite.
- This amounts to saying the transfinite whole is not equal to the sum of its denumerably infinite parts.
- This way of reasoning is also present in finite and denumerably infinite collections.

Origin

Early 20th century: from late Latin denumerare 'count out' + -able.

Definition of denumerable in US English:

denumerable

adjectivedēˈn(y)o͞omərəb(ə)l

Mathematics

Able to be counted by a one-to-one correspondence with the infinite set of integers.
〔数〕可数的
Example sentencesExamples
- The paper discusses denumerable sets, i.e. those which are in 1-1 correspondence with the natural numbers.
- The non-denumerable infinity of real numbers (and thus of points in space and of events in time) is much larger than the merely denumerable infinity of integers.

Origin

Early 20th century: from late Latin denumerare ‘count out’ + -able.

词汇	denumerable
释义	Definition of denumerable in English: denumerable adjective dɪˈnjuːm(ə)rəb(ə)ldēˈn(y)o͞omərəb(ə)l Mathematics Able to be counted by a one-to-one correspondence with the infinite set of integers. 〔数〕可数的 Example sentencesExamples The non-denumerable infinity of real numbers (and thus of points in space and of events in time) is much larger than the merely denumerable infinity of integers. The paper discusses denumerable sets, i.e. those which are in 1-1 correspondence with the natural numbers. Derivatives denumerability noun dɪnjuːm(ə)rəˈbɪlɪti Mathematics At least five mathematicians tried to prove denumerability of the value set, to which the names of two of them are attached. Example sentencesExamples I don't know how to approach it… but know that it is based on the concept of denumerability of real numbers. Combining with his proof of the denumerability of rational numbers, it proves the existence of irrational numbers without actually constructing any irrational number. The list includes closure, well-ordering, well-foundedness, and various cardinalities, such as finitude and denumerability. denumerably adverb Mathematics Imagine the hotel filled to capacity with denumerably many guests. Example sentencesExamples This type of space requires a slightly different treatment to spaces of finite, or denumerably infinite, dimensions. The most famous was his diagonal argument which seems to show that there must be orders of infinity, and specifically that the non-denumerably infinite is distinct from the denumerably infinite. This amounts to saying the transfinite whole is not equal to the sum of its denumerably infinite parts. This way of reasoning is also present in finite and denumerably infinite collections. Origin Early 20th century: from late Latin denumerare 'count out' + -able. Definition of denumerable in US English: denumerable adjectivedēˈn(y)o͞omərəb(ə)l Mathematics Able to be counted by a one-to-one correspondence with the infinite set of integers. 〔数〕可数的 Example sentencesExamples The paper discusses denumerable sets, i.e. those which are in 1-1 correspondence with the natural numbers. The non-denumerable infinity of real numbers (and thus of points in space and of events in time) is much larger than the merely denumerable infinity of integers. Origin Early 20th century: from late Latin denumerare ‘count out’ + -able.
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