natural numbers in English

noun
1
the positive integers (whole numbers) 1, 2, 3, etc., and sometimes zero as well.
This means that the natural numbers , the integers, and the even integers all have the ‘same number’ of elements.

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Below are sample sentences containing the word "natural numbers" from the English Dictionary. We can refer to these sentence patterns for sentences in case of finding sample sentences with the word "natural numbers", or refer to the context using the word "natural numbers" in the English Dictionary.

1. And finally, addition and subtraction operations on natural numbers.

2. Peano Axioms are Axioms defining natural numbers set N \mathbb N N using set language

3. It is also the first of the infinite sequence of natural numbers, followed by 2.

4. The Classifications of numbers are: real number, imaginary numbers, irrational number, integers, whole numbers, and natural numbers

5. 18 These terms should strictly only be used for the natural numbers or for other countable sets.

6. However some important operations may take us outside the realm of the natural numbers-the simplest being subtraction.

7. In this section we will look at the Basic program for finding the greatest common divisor (or GCD) of two natural numbers

8. (If there are only two terms, the summands are the augend and addend respectively. ) For a definition of addition in the natural numbers , see Addition in N .

9. The employer's action space is the set of natural numbers, representing wages—these are used to form a contract based on how productive the applicant is expected to be.

10. The first Project Euler problem is If we list all the natural numbers below 10 that are multiples of 3 or 5, we get 3, 5, 6 and 9.

11. In number theory, friendly numbers are two or more natural numbers with a common Abundancy index, the ratio between the sum of divisors of a number and the number itself

12. The problem of finding a constructive way of interpreting the rules of the Martin-Löf type theory that in addition satisfies the univalence axiom and canonicity for natural numbers remains open.

13. In 1929 and 1930, it was proved the truth or falsity of all statements formulated about the natural numbers plus one of addition and multiplication, was decidable, i.e. could be determined by some algorithm.

14. ‘Hausdorff proved further results on the Cardinality of Borel sets in 1916.’ ‘Frege's approach to providing a logical analysis of Cardinality, the natural numbers, infinity and mathematical induction were groundbreaking, and have had a lasting importance within mathematical logic.’

15. A lAttice is an abstract structure studied in the mathematical subdisciplines of order theory and abstract algebra.It consists of a partially ordered set in which every two elements have a unique supremum (also called a least upper bound or join) and a unique infimum (also called a greatest lower bound or meet).An example is given by the natural numbers, partially ordered by divisibility, for