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 ?
Both models contain five material constants and a modulus function.
Both models distinguish between loading and unloading regimes in which a modulus function is used in the loading case, whereas in the unloading part, the modulus is constant and its value is that at which a switch from loading to unloading occurs.
The equivalent stress expressed in Eq 10 is used in the current model for calculating the modulus function, [E.
DETERMINATION OF MATERIAL CONSTANTS AND MODULUS FUNCTION
The notion of a modulus function was introduced by Nakano [24].
If convexity of Orlicz function M is replaced by subadditivity of M, then this function is called modulus function, defined by Nakano [15] and further discussed by Ruckle [19] and Maddox [11] and many others.
If convexity of Orlicz function is replaced by M(x + y) [less than or equal to] M (x) + M (y) then this function is called the modulus function and characterized by Ruckle[17].
Once linearized, the modulus functions of shear and elongation should agree with a factor of three, and it is indeed the case, except for rubbers that exhibit strain-induced crystallization and strain-induced association (refs.