absolute value

English

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absolute value

Wikipedia

Alternative forms

• | | (vertical bars)

Pronunciation

• (US) IPA^(key): /ˈæb.səˌlut ˈvæl.ju/, /ˌæb.səˈljut ˈvæl.ju/

• Audio (Southern England):

  (file)

Noun

absolute value (plural absolute values)

1. (mathematics) For a complex number ${\displaystyle a+bi}$, the principal square root of the sum of the squares of its real and imaginary parts, ${\displaystyle {\sqrt {a^{2}+b^{2}}}}$. Denoted by vertical bars ${\displaystyle |\,|}$.

   The absolute value ${\displaystyle |x|}$ of a real number ${\displaystyle x}$ is ${\displaystyle {\sqrt {x^{2}}}}$, which is equal to ${\displaystyle x}$ if ${\displaystyle x}$ is non-negative, and ${\displaystyle -x}$ if ${\displaystyle x}$ is negative.

Synonyms

• modulus

Hypernyms

• Euclidean norm
  • norm

Derived terms

• p-adic absolute value
• trivial absolute value

Translations

numerical value of a real number

Arabic: قِيمَة مُطْلَقَة f (qīma muṭlaqa) Armenian: բացարձակ արժեք Asturian: valor absolutu m Azerbaijani: mütləq qiymət Bulgarian: абсолютна стойност f (absoljutna stojnost) Catalan: valor absolut m Chinese: Mandarin: 絕對值 / 绝对值 (zh) (juéduìzhí) Czech: absolutní hodnota f Danish: numerisk værdi c Dutch: absolute waarde (nl) f Esperanto: absoluta valoro Finnish: itseisarvo (fi) French: valeur absolue (fr) f Galician: valor absoluto m German: Absolutwert m, Absolutbetrag m, Betrag (de) m Hebrew: ערך מוחלט / עֵרֶךְ מֻחְלַט (he) (érekh mukhlát) Hungarian: abszolút érték (hu) Italian: valore assoluto (it) m Japanese: 絶対値 (ja) (ぜったいち, zettaichi) Korean: 절대값 (ko) (jeoldaegap) Malay: nilai mutlak (ms) Polish: wartość bezwzględna f Portuguese: valor absoluto m Romanian: valoare absolută (ro) f Russian: абсолю́тная величина́ f (absoljútnaja veličiná) Slovak: absolútna hodnota (sk) f Slovene: absolutna vrednost f Spanish: valor absoluto m Swedish: absolutbelopp (sv) n, belopp (sv) n Tagalog: halgang wagas Vietnamese: giá trị tuyệt đối (vi)

modulus of a complex number

Arabic: قِيمَة مُطْلَقَة f (qīma muṭlaqa) Asturian: módulu m, valor absolutu m, magnitú f Bulgarian: абсолютна стойност f (absoljutna stojnost), модул m (modul) Catalan: mòdul (ca) m, valor absolut m Dutch: modulus (nl) m Esperanto: absoluta valoro, modulo Finnish: itseisarvo (fi), moduli French: module (fr), valeur absolue (fr) f Galician: módulo (gl) m, valor absoluto m German: Absolutwert m, Absolutbetrag m, Betrag (de) m Hungarian: abszolút érték (hu) Italian: modulo (it) m, valore assoluto (it) m Japanese: 絶対値 (ja) (ぜったいち, zettaichi) Polish: wartość bezwzględna f Portuguese: módulo (pt) m Russian: абсолю́тная величина́ f (absoljútnaja veličiná), мо́дуль (ru) m (módulʹ) Slovak: absolútna hodnota (sk) f, modul m Spanish: módulo (es) m, valor absoluto m, magnitud (es) f Swedish: absolutbelopp (sv) n, belopp (sv) n, modulus n Tagalog: halgang wagas