arithmetic
EnglishEdit
Alternative formsEdit
- arsmetrike, arsmetryke (obsolete)
EtymologyEdit
From Middle English arsmetike, from Old French arismetique, from Latin arithmētica, arithmeticus, from Ancient Greek ἀριθμητική (τέχνη) (arithmētikḗ (tékhnē), “(art of) counting”), feminine of ἀριθμητικός (arithmētikós, “arithmetical”), from ἀριθμός (arithmós, “number, counting”), from Proto-Indo-European *h₂ri-dʰh₁-mó-s, form of *h₂rey- (“to count, reason”). Used in English since 13th century.
PronunciationEdit
- (noun): (Received Pronunciation, General American) enPR: ərĭth'mətĭk, IPA(key): /əˈɹɪθmətɪk/
Audio (GA) (file)
- (adjective): (Received Pronunciation, General American) enPR: ărĭthmĕt'ĭk, IPA(key): /æɹɪθˈmɛtɪk/
Audio (UK) (file)
- Hyphenation: arith‧met‧ic
NounEdit
arithmetic (usually uncountable, plural arithmetics)
- The mathematics of numbers (integers, rational numbers, real numbers, or complex numbers) under the operations of addition, subtraction, multiplication, and division.
- 1992, Douglas M. Priest, On Properties of Floating Point Arithmetics, University of California, Berkeley, page 17,
- Note that all correctly rounding arithmetics satisfy property A1, as do those with properly truncating addition. All faithful binary arithmetics and all arithmetics with either properly truncating or correctly chopping addition satisfy property A2.
- 2013 July 20, “Welcome to the plastisphere”, in The Economist, volume 408, number 8845:
- [The researchers] noticed many of their pieces of [plastic marine] debris sported surface pits around two microns across. […] Closer examination showed that some of these pits did, indeed, contain bacteria, and that in several cases these bacteria were dividing and thus, by the perverse arithmetic of biological terminology, multiplying.
- 1992, Douglas M. Priest, On Properties of Floating Point Arithmetics, University of California, Berkeley, page 17,
HypernymsEdit
- (study): math (US), maths (UK), mathematics
Derived termsEdit
Terms derived from the noun arithmetic
- affine arithmetic
- arithmetician
- binary arithmetic
- Boolean arithmetic
- clock arithmetic
- congruence arithmetic
- decimal arithmetic
- floating-point arithmetic
- fundamental theorem of arithmetic
- fuzzy arithmetic
- higher arithmetic
- interval arithmetic
- location arithmetic
- modular arithmetic
- moral arithmetic
- Peano arithmetic
- political arithmetic
- Presburger arithmetic
- Robinson arithmetic
- saturation arithmetic
- significance arithmetic
- universal arithmetic
- vulgar arithmetic
TranslationsEdit
mathematics of numbers, etc.
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AdjectiveEdit
arithmetic (not comparable)
- (mathematics) Of, relating to, or using arithmetic; arithmetical.
- arithmetic geometry
- 2008, Emmanuel Kowalski, The large sieve and its applications: arithmetic geometry, random ..., page 189:
- Moreover, the latest work of Katz, involving the so-called 'Larsen alternative', provides new criteria, of a very arithmetic nature, to (almost) determine the rational monodromy group
- (arithmetic) Of a progression, mean, etc, computed solely using addition.
- arithmetic progression
Coordinate termsEdit
- (computed solely using addition): geometric
Derived termsEdit
Terms derived from the adjective arithmetic
- arithmetic average
- arithmetic combinatorics
- arithmetic density
- arithmetic function
- arithmetic geometry
- arithmetic hierarchy
- arithmetic logic unit
- arithmetic mean
- arithmetic operation
- arithmetic operator
- arithmetic progression
- arithmetic sequence
- arithmetic series
- arithmetic spiral
- arithmetic-geometric mean
TranslationsEdit
arithmetical
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computed solely using addition
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