# 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 ?
In [1], a new concept of density of a subset A of N is defined by means of an unbounded modulus function f, as [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], if this limit exists, and we will say that a sequence [([x.
An modulus function M can always be represented in the following integral form
If a modulus function f satisfies [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] then [d.
The equivalent stress expressed in Eq 10 is used in the current model for calculating the modulus function, [E.
Let M be an Orlicz function or modulus function which satisfies the [[DELTA].
where f is a modulus function and A is a nonnegative four dimensional matrix.
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].
Pritz [4] discussed the method of parameters identification of five-parameter fractional-derivative model, which utilized the asymptotic properties of the storage and loss modulus functions.

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