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arithmetic

adjective

No English definition recorded for this entry.

L334566 on Wikidata ↗

noun

  1. elementary branch of mathematics
L43973 on Wikidata ↗

Wiktionary

Pronunciation: /æɹɪθˈmɛtɪk/ / [əˈɹɪθmətɪk]

adj

Etymology: From French arithmétique, from Latin arithmēticus, from Ancient Greek ἀριθμητῐκός (arithmētĭkós).

  1. Of, relating to, or using arithmetic; arithmetical.

    arithmetic geometry

    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

  2. Of a progression, mean, etc, computed solely using addition.

    arithmetic progression

noun

Etymology: Etymology tree Proto-Indo-European *h₂er- Proto-Indo-European *-éh₁ti Proto-Indo-European *h₂reh₁- Proto-Indo-European *-éyti Proto-Indo-European *h₂rey-der. Ancient Greek ᾰ̓ρῐθμός (ărĭthmós) Proto-Indo-European *-eti Proto-Indo-European *-eyéti Proto-Indo-European *-esyéti Proto-Indo-European *-éh₁ti Proto-Indo-European *-yeti Proto-Indo-European *-éh₁yeti Proto-Indo-European *-yeti Proto-Indo-European *-éyeti Ancient Greek -έω (-éō) Ancient Greek ἀριθμέω (arithméō) Proto-Indo-European *-tis Ancient Greek -τις (-tis) Ancient Greek -σῐς (-sĭs) Proto-Indo-European *-kos Ancient Greek -κός (-kós) ? Proto-Indo-European *-tós Proto-Hellenic *-tós Ancient Greek -τος (-tos) ▲ Ancient Greek -κός (-kós) ? Ancient Greek -τικός (-tikós) Ancient Greek ἀριθμητῐκός (arithmētĭkós) Ancient Greek ἀριθμητῐκή (arithmētĭkḗ)bor. Latin arithmēticabor. ▲ Ancient Greek ἀριθμητῐκός (arithmētĭkós)bor. Latin arithmēticusbor. Old French arismetiquebor. Middle English arsmetike English arithmetic From Middle English arsmetike, from Old French arismetique, from Latin arithmētica, 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.

  1. The mathematics of numbers (integers, rational numbers, real numbers, or complex numbers) under the operations of addition, subtraction, multiplication, and division.

    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.

    [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.

  2. Number theory.