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== Integers == {{Infobox physical quantity | name = Number of entities | othernames = | width = | background = | image = | caption = | unit = [[Unitless]] | otherunits = | symbols = ''N'' | baseunits = | dimension = [[Dimension one|1]] | extensive = | intensive = | conserved = | transformsas = | derivations = }} [[Integer numbers]] may represent dimensionless quantities. They can represent discrete quantities, which can also be dimensionless. More specifically, [[counting numbers]] can be used to express '''countable quantities'''.<ref name="Rothstein2017">{{cite book |author-last=Rothstein |author-first=Susan |author-link=Susan Rothstein |title=Semantics for Counting and Measuring |publisher=[[Cambridge University Press]] |series=Key Topics in Semantics and Pragmatics |date=2017 |isbn=978-1-107-00127-5 |url=https://books.google.com/books?id=yV5UDgAAQBAJ&pg=PA206 |access-date=2021-11-30 |page=206}}</ref><ref>{{cite book |author-last1=Berch |author-first1=Daniel B. |author-last2=Geary |author-first2=David Cyril |author-link2=David Cyril Geary |author-last3=Koepke |author-first3=Kathleen Mann |title=Development of Mathematical Cognition: Neural Substrates and Genetic Influences |publisher=[[Elsevier Science]] |date=2015 |isbn=978-0-12-801909-2 |url=https://books.google.com/books?id=XS9OBQAAQBAJ&pg=PR13 |access-date=2021-11-30 |page=13}}</ref> The concept is formalized as quantity '''number of entities''' (symbol ''N'') in [[ISO 80000-1]].<ref name="ISO 80000-1">{{cite web |title=ISO 80000-1:2022(en) Quantities and units β Part 1: General |website=iso.org |url=https://www.iso.org/obp/ui/#iso:std:iso:80000:-1:ed-2:v1:en |ref={{sfnref |iso.org}} |access-date=2023-07-23}}</ref> Examples include [[number of particles]] and [[population size]]. In mathematics, the "number of elements" in a set is termed ''[[cardinality]]''. ''[[Countable noun]]s'' is a related linguistics concept. Counting numbers, such as number of [[bit]]s, can be compounded with units of frequency ([[inverse second]]) to derive units of count rate, such as [[bits per second]]. [[Count data]] is a related concept in statistics. The concept may be generalized by allowing [[non-integer number]]s to account for fractions of a full item, e.g., [[number of turns]] equal to one half.
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