# absolute value

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## absolute value,

magnitude of a number or other mathematical expression disregarding its sign; thus, the absolute value is positive, whether the original expression is positive or negative. In symbols, if |a| denotes the absolute value of a number a, then |a| = a for a > 0 and |a| = −a for a < 0. For example, |7|= 7 since 7 > 0 and |−7| = −(−7), or |−7| = 7, since −7 < 0.

## absolute value

[′ab·sə‚lüt ′val·yü]
Also known as magnitude.
(mathematics)
For a real number, the number if it is nonnegative, and the negative of the number if it is negative. Also known as numerical value.
For a complex number, the square root of the sum of the squares of its real and imaginary parts. Also known as modulus.
The length of a vector, disregarding its direction; the square root of the sum of the squares of its orthogonal components.
References in periodicals archive ?
[[chi].sub.M] has AK, where M is a modulus function.
Altin and M.Et, Generalized difference sequence spaces defined by a modulus function in a locally convex space, Soochow J.Math., 31 (2) (2005), 233-243.
The constitutive model thus presented contains five material constants: E, v, [alpha], [[tau].sub.1], R, and a modulus function, [E.sub.1]([[sigma].sub.eq]).
The notion of modulus function was introduced by Nakano ([12]).
An modulus function M can always be represented in the following integral form
The equivalent stress expressed in Eq 10 is used in the current model for calculating the modulus function, [E.sub.1]([[sigma].sub.eq]).
The notion of a modulus function was introduced by Nakano ([12]).
Let M be an Orlicz function or modulus function which satisfies the [[DELTA].sub.2]-condition and if [[GAMMA].sup.2.sub.M[pi]] is a growth sequence then [[GAMMA].sup.2.sub.[pi]] [subset] [[GAMMA].sup.2.sub.M[pi]].
As a second way of illustrating the sensitivity of the conversion computation one may use again quasielastic analysis to estimate the required accuracy on the shear modulus function in order to achieve a bulk modulus function within a prescribed range of precision.
A modulus function f is a mapping f : [0, [infinity]) [right arrow] [0, [infinity]) such that

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