# Absolute Value

(redirected from Modulus function)
Also found in: Dictionary, Thesaurus, Encyclopedia.

## Absolute Value

The value of a variable without regard to whether it is positive or negative. For example, an absolute value of 6% applies whether a company's profits increase 6% or decrease by the same amount.
References in periodicals archive ?
The modulus function, [E.sub.1]([[sigma].sub.0]), and the retardation time, [[tau].sub.1], are determined from the experimental creep curves at different stress levels.
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.sub.n]).sub.n] is f--statistically convergent to x if for every [epsilon] > 0 we have [d.sub.f] ({n [member of] N : [parallel][x.sub.n] - x[parallel] > [epsilon]}) = 0.
In [1], a new concept of density of a subset A of N is defined by means of an unbounded modulus function f, as [d.sub.f](A) = [lim.sub.n] f([absolute value of a (n)]) / f(n), if this limit exists, and we will say that a sequence [([x.sub.i]).sub.i] is f-statistically convergent to x if for every [epsilon] > 0 we have [d.sub.f] ({i [member of] A: [parallel][x.sub.i] - x[parallel] > [epsilon]}) = 0.
Misra, The semi normed space defined by a double gai sequence of modulus function, Fasciculi Math., 46(2010).
Let f be a modulus function, then for a given multiplier sequence [LAMBDA] = ([X.sub.k]), we introduce the following fuzzy real valued sequence spaces.
where f is a modulus function and A is a nonnegative four dimensional matrix.
Let f be a modulus function. Then the inclusions [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] hold.
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].
Site: Follow: Share:
Open / Close