arithmetic
Language: English
Part of speech: noun
Pronunciation: enpr: ərĭth′mətĭk
ipa: /əˈɹɪθmətɪk/
Forms: form: arithmetics
form: arsmetrike
form: arsmetryke
form: arithmetike
Etymology: 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.
Senses: examples: text: 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.
ref: 1992, Douglas M. Priest, On Properties of Floating Point Arithmetics, University of California, Berkeley, page 17:
text: [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.
ref: 2013 July 20, “Welcome to the plastisphere”, in The Economist, volume 408, number 8845:
glosses: The mathematics of numbers (integers, rational numbers, real numbers, or complex numbers) under the operations of addition, subtraction, multiplication, and division.
glosses: Number theory
Hypernyms: sense: study
word: math
sense: study
word: maths
sense: study
word: mathematics
Derived terms: sense: Terms derived from the noun arithmetic
word: affine arithmetic
sense: Terms derived from the noun arithmetic
word: alphametic
sense: Terms derived from the noun arithmetic
word: arbitrary-precision arithmetic
sense: Terms derived from the noun arithmetic
word: arithmetic bug
sense: Terms derived from the noun arithmetic
word: arithmetician
sense: Terms derived from the noun arithmetic
word: arithmeticity
sense: Terms derived from the noun arithmetic
word: arithmogram
sense: Terms derived from the noun arithmetic
word: binary arithmetic
sense: Terms derived from the noun arithmetic
word: Boolean arithmetic
sense: Terms derived from the noun arithmetic
word: clock arithmetic
sense: Terms derived from the noun arithmetic
word: congruence arithmetic
sense: Terms derived from the noun arithmetic
word: decimal arithmetic
sense: Terms derived from the noun arithmetic
word: floating-point arithmetic
sense: Terms derived from the noun arithmetic
word: fundamental theorem of arithmetic
sense: Terms derived from the noun arithmetic
word: fuzzy arithmetic
sense: Terms derived from the noun arithmetic
word: higher arithmetic
sense: Terms derived from the noun arithmetic
word: hyperarithmetic
sense: Terms derived from the noun arithmetic
word: interval arithmetic
sense: Terms derived from the noun arithmetic
word: location arithmetic
sense: Terms derived from the noun arithmetic
word: mental arithmetic
sense: Terms derived from the noun arithmetic
word: modular arithmetic
sense: Terms derived from the noun arithmetic
word: moral arithmetic
sense: Terms derived from the noun arithmetic
word: nonarithmetic
sense: Terms derived from the noun arithmetic
word: Peano arithmetic
sense: Terms derived from the noun arithmetic
word: political arithmetic
sense: Terms derived from the noun arithmetic
word: Presburger arithmetic
sense: Terms derived from the noun arithmetic
word: Robinson arithmetic
sense: Terms derived from the noun arithmetic
word: saturation arithmetic
sense: Terms derived from the noun arithmetic
word: significance arithmetic
sense: Terms derived from the noun arithmetic
word: universal arithmetic
sense: Terms derived from the noun arithmetic
word: vulgar arithmetic