Definitions for absolute value
This page provides all possible meanings and translations of the word absolute value
absolute value, numerical value(noun)
a real number regardless of its sign
For a real number, its numerical value without regard to its sign; formally, -1 times the number if the number is negative, and the number unmodified if it is zero or positive.
For a complex number, the square root of the sum of the squares of its real and imaginary parts.
In mathematics, the absolute value | x | of a real number x is the non-negative value of x without regard to its sign. Namely, | x | = x for a positive x, | x | = −x for a negative x, and | 0 | = 0. For example, the absolute value of 3 is 3, and the absolute value of −3 is also 3. The absolute value of a number may be thought of as its distance from zero. Generalisations of the absolute value for real numbers occur in a wide variety of mathematical settings. For example an absolute value is also defined for the complex numbers, the quaternions, ordered rings, fields and vector spaces. The absolute value is closely related to the notions of magnitude, distance, and norm in various mathematical and physical contexts.
Translations for absolute value
From our Multilingual Translation Dictionary
- absolutní hodnotaCzech
- valor absolutoSpanish
- itseisarvo, moduliFinnish
- valeur absolueFrench
- abszolút értékHungarian
- valore assoluto, moduloItalian
- nilai mutlakMalay
- absolute waardeDutch
- valoare absolutăRomanian
- абсолютная величина, модульRussian
- absolutbelopp, belopp, modulusSwedish
Get even more translations for absolute value »
Find a translation for the absolute value definition in other languages:
Select another language:
Discuss these absolute value definitions with the community:
Word of the Day
Would you like us to send you a FREE new word definition delivered to your inbox daily?
Use the citation below to add this definition to your bibliography:
"absolute value." Definitions.net. STANDS4 LLC, 2015. Web. 30 Mar. 2015. <http://www.definitions.net/definition/absolute value>.