arithmetic

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arithmetic

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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.

• arsmetrike, arsmetryke, arithmetike (obsolete)

• Noun
  • (Received Pronunciation, General American) enPR: ərĭth′mətĭk, IPA^(key): /əˈɹɪθmətɪk/

  • Audio (General American):

    (file)

  • Hyphenation: a‧rith‧me‧tic
• Adjective
  • IPA^(key): /ˌæɹɪθˈmɛtɪk/

  • Audio (General American):

    (file)

  • Hyphenation: ar‧ith‧met‧ic

arithmetic (usually uncountable, plural arithmetics)

1. 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:

     noticed many of their pieces of 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.

• (study): math (US), maths (UK), mathematics

arithmetic (not comparable)

1. Increasing or decreasing by an arithmetic progression.

   Coordinate terms: geometric, exponential; parabolic

   Near-synonym: linear

   Growth in the most mature markets is likely to be arithmetic; on what rational basis could one hope for exponential growth there?

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

• (Received Pronunciation, General American) enPR: ărĭthmĕt'ĭk, IPA^(key): /æɹɪθˈmɛtɪk/

• Audio (Southern England):

  (file)

• Hyphenation: arith‧met‧ic

arithmetic (not comparable)

1. (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

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

   arithmetic progression

• (computed solely using addition): geometric

• List of terms used in arithmetic in English