absolute value

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  • noun

Synonyms for absolute value

a real number regardless of its sign

References in periodicals archive ?
The modulus functions are increasing and subadditive.
Let f be a modulus function. Then [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] is a linear space over the complex field C.
Et, On a class of generalized difference sequence space defined by modulus function, Hakkaido Math.
Let w denote the set of all complex double sequences x = [([x.sub.k]).sup.[infinity].sub.k=1] and M : [0, [infinity]) [right arrow] [0, [infinity]) be an Orlicz function, or a modulus function. Let
Since M is a non-decreasing modulus function, q is a seminorm and [[DELTA].sup.m] is linear then
[17] was used to obtain the material constants and modulus function from a single uniaxial isochronous creep test for the "Kelvin-Voigt-type" model.
In addition, we omitted the 2-stage transformation, which uses the exponential and modulus functions in sequence.
From these properties it is clear that a modulus function must be continuous on [R.sup.+].
An modulus function Mis said to satisfy the [[DELTA].sub.2]--condition for small U or at 0 if for each k [member of] K, there exist [R.sub.k] > 0 and [u.sub.k] > 0 such that M(ku) [less than or equal to] [R.sub.k]M(u) for all u [member of] (0, [u.sub.k]].
Then the exterior modulus of the quadrilateral is [tau] (t)/2, where [tau] is the Teichmuller modulus function; see [2] and 2.2, below.
If convexity of Orlicz function M is replaced by M (x + y) [less than or equal to] M (x) + M (y) then this function is called modulus function, introduced by Nakano [34] and further discussed by Ruckle [35] and Maddox [36] and many others.
Having defined the criterion for the unloading, we now turn to the specification of the material constants and the modulus function for the unloading case.
If convexity of Orlicz function is replaced by M(x + y) [less than or equal to] M(x) + M([gamma]) then this function is called the modulus function and characterized by Ruckle (1973).
We recall that f: [R.sup.+] [right arrow] [R.sup.+] is called a modulus function if it satisfies:
If convexity of Orlicz function M is replaced by subadditivity of M, then this function is called modulus function, defined by Nakano [24] and further discussed by Ruckle [27] and Maddox [18], Tripathy and Chandra [40] and many others.