# 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 ?
The results seem to indicate that the complex modulus (G*) increases with the addition of crumb rubber.
part 2 - device for determining the complex modulus and fatigue according to din en 12697-24.
The influence of the addition of CR on TPB resulted in an increase in the complex modulus of the material, maxima being observed at 5% crum rubber.
Bitumen modification improved the visco-elastic properties with higher values of the complex modulus and complex viscosity with respect to the base bitumen.
With the variable time method, similar to curemeter measurements, complex modulus and viscosity are measured over time at constant strain amplitude and frequency.
Viscous or loss modulus, E", is the imaginary part of the complex modulus, E*.
Within the SHRP, the permanent deformation of BIT and PMB is related to viscoelastic functions, the shear complex modulus G* and the phase angle [delta] with the equation G*/sin [delta] (7), (12), (13).
The variable time function allows measurements to duplicate traditional curemeter testing and generates complex modulus and viscosity data over time at constant strain amplitude and frequency, according to the literature.
Lubricating grease irreversible structural breakdown was characterized from the ratio between the value of the complex modulus in the linear viscoelasticity region, at a given frequency.

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