set of non-negative integers (Q28777634)

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the set of positive integers and zero

• naturals (set)
• ℕ
• natural numbers (set)
• non-negative integers
• whole numbers
• set of whole numbers
• nonnegative integers
• set of positive integers and zero
• set of nonnegative integers
• set of natural numbers
• set of naturals

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Language	Label	Description	Also known as
English	set of non-negative integers	the set of positive integers and zero	naturals (set) ℕ natural numbers (set) non-negative integers whole numbers set of whole numbers nonnegative integers set of positive integers and zero set of nonnegative integers set of natural numbers set of naturals

Statements

instance of

set of numbers

of

non-negative integer

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countably infinite set

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commutative monoid

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dioid

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cancellative semigroup

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integer sequence

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part of

set of integers

subject has role

subset

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class of cardinal numbers

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studied in

mathematics

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defining formula

${\displaystyle \mathbb {N} _{0}=\{0,1,2,3,\ldots \}}$

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in defining formula

${\displaystyle \mathbb {N} _{0}}$

symbol represents

set of non-negative integers

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cardinality of this set

aleph null

1 reference

author

Rudolf Berghammer

title

Ordnungen, Verbände und Relationen mit Anwendungen (German)

publisher

Springer Vieweg Verlag

place of publication

Wiesbaden

publication date

2012

ISBN-13

978-3-658-00618-1

DOI

10.1007/978-3-658-00619-8

page(s)

137

reference URL

https://books.google.de/books?id=oO-BNnhNYkMC&pg=PA137

described by source

ISO 80000-2:2019 Quantities and units — Part 2: Mathematics

section, verse, paragraph, or clause

2-7.1

subject named as

the set of natural numbers

the set of positive integers and zero

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has characteristic

Archimedean property

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discreteness

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notation

ℕ

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maintained by WikiProject

WikiProject Mathematics

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lower limit

0

object has role

minimum

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upper limit

no value

object has role

maximum

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Unicode character

ℕ

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has part(s) of the class

non-negative integer

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has part(s)

set of positive integers

object has role

subset

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singleton of 0

object has role

subset

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opposite of

set of negative integers

criterion used

complement

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set of non-positive integers

criterion used

sign

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different from

natural number

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set of positive integers

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class of cardinal numbers

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said to be the same as

aleph null

1 reference

author

Rudolf Berghammer

title

Ordnungen, Verbände und Relationen mit Anwendungen (German)

publisher

Springer Vieweg Verlag

place of publication

Wiesbaden

publication date

2012

ISBN-13

978-3-658-00618-1

DOI

10.1007/978-3-658-00619-8

page(s)

137

reference URL

https://books.google.de/books?id=oO-BNnhNYkMC&pg=PA137

Identifiers

Larousse ID

divers/ℕ_/72509

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MathWorld ID

N

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Sitelinks

Wikipedia(3 entries)

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• dewiki Menge der natürlichen Zahlen
• enwiki Set of natural numbers
• itwiki Insieme dei numeri naturali

Wikibooks(0 entries)

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Wikinews(0 entries)

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Wikiquote(0 entries)

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Wikisource(0 entries)

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Wikiversity(0 entries)

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Wikivoyage(0 entries)

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Wiktionary(0 entries)

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Multilingual sites(0 entries)

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