The phrase "absolute value function" is correct and usable in written English.
It can be used in mathematical contexts when discussing functions that return the non-negative value of a number regardless of its sign.
Example: "In calculus, the absolute value function is often used to analyze the behavior of equations near critical points."
Alternatives: "magnitude function" or "non-negative value function".
As is found to be not uncommon, many real systems are subject to the constraints which are described by the non-smooth functions such as absolute value function.
For example, the absolute value function |x| is defined to be x when x ≥ 0 but −x when x < 0 (where ≥ indicates greater than or equal to and < indicates less than).
In this paper, a scalar sign function-based digital design methodology is developed for modeling and control of a class of analog nonlinear systems that are restricted by the absolute value function constraints.
where | · | is the absolute value function.
Firstly, we give the definition of smoothing function and smoothing approximation function of the absolute value function [14, 15, 29].
(27 where H is horizontal direction weight, V is vertical direction weight, and abs is absolute value function.
This paper illustrates the role of a Thinking-about-Derivatives task in identifying learners' derivative conceptions and for promoting their critical thinking about derivatives of absolute value functions.
In a darkened Algebra II classroom, all eyes were on an illuminated graphing calculator projected three feet high on the white board as students studied a series of graphs and talked about absolute value functions.
where, ⌈. ⌉ and |. | are the ceiling and the absolute value functions, respectively.
end{aligned} Since it is difficult to compute maximum and absolute value functions, we can eliminate them by increasing relaxation variables (a_{s}in R_, alpha_{s},beta_{s}in R_^{n}, s=1,ldots,S).
An alternative continuous MILP formulation was also suggested for equipment allocation, utilizing a piecewise-linear function representation for absolute value functional.
