denumerable Sentence Examples
- In mathematics, a set is said to be denumerable if its elements can be counted one by one.
- The set of natural numbers is denumerable because it can be listed in a sequence: 1, 2, 3, 4, ...
- Denumerable sets have a one-to-one correspondence with the set of natural numbers.
- Although the set of integers is infinite, it is denumerable because each integer can be associated with a unique natural number.
- The set of rational numbers is denumerable because it can be arranged into a sequence.
- A finite set is always denumerable since its elements can be counted exhaustively.
- The set of even numbers is denumerable, with each even number paired with a natural number.
- The Cantor set is an example of a denumerable set that has a non-intuitive structure.
- Denumerable sets play a fundamental role in the study of cardinality and infinity in mathematics.
- The concept of denumerability is essential in understanding the different sizes of infinite sets.
denumerable Meaning
Wordnet
denumerable (s)
that can be counted
Synonyms & Antonyms of denumerable
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FAQs About the word denumerable
that can be counted
No synonyms found.
No antonyms found.
In mathematics, a set is said to be denumerable if its elements can be counted one by one.
The set of natural numbers is denumerable because it can be listed in a sequence: 1, 2, 3, 4, ...
Denumerable sets have a one-to-one correspondence with the set of natural numbers.
Although the set of integers is infinite, it is denumerable because each integer can be associated with a unique natural number.