arithmetic

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

Adjective mathematics, sciences

  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 - 2008, Emmanuel Kowalski, The...
  2. Of a progression, mean, etc, computed solely using addition.
    • arithmetic progression

Origin

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

Wikipedia

Arithmetic

Related

List of terms used in arithmetic in English

Derived

arithmetically arithmetic average arithmetic combinatorics arithmetic density arithmetic function arithmetic-geometric mean arithmetic geometry arithmetic hierarchy arithmetic logic unit arithmetic mean arithmetic operation arithmetic operator arithmetic progression arithmetic sequence arithmetic series arithmetic spiral

Adjective not comparable

  1. Increasing or decreasing by an arithmetic progression.
    • 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?

    Synonyms: linear

    Coordinate Terms: geometric exponential parabolic

Origin

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...

Forms

arsmetrike arsmetryke arithmetike

Noun

  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...
    • [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...
  2. Number theory.

Forms

arithmetics arsmetrike arsmetryke arithmetike

Hypernyms

math maths mathematics

Derived

affine arithmetic alphametic arbitrary-precision arithmetic arithmetic bug arithmetician arithmeticity arithmogram binary arithmetic Boolean arithmetic clock arithmetic congruence arithmetic decimal arithmetic floating-point arithmetic fundamental theorem of arithmetic fuzzy arithmetic hard as Chinese arithmetic higher arithmetic hyperarithmetic interval arithmetic location arithmetic mental arithmetic modular arithmetic moral arithmetic nonarithmetic