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.
- (noun): enPR: ərĭth'mətĭk, IPA(key): /əˈɹɪθmətɪk/
- (adjective): enPR: ărĭthmĕ'tĭk, IPA(key): /æɹɪθˈmɛtɪk/
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- The mathematics of numbers (integers, rational numbers, real numbers, or complex numbers) under the operations of addition, subtraction, multiplication, and division.
- 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.
- affine arithmetic
- binary arithmetic
- Boolean arithmetic
- clock arithmetic
- congruence arithmetic
- decimal arithmetic
- floating-point arithmetic
- fuzzy arithmetic
- interval arithmetic
- location arithmetic
- modular arithmetic
- Peano arithmetic
- Presburger arithmetic
- saturation arithmetic
- significance arithmetic
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
- (computed solely using addition): geometric