where the superscripts i and d denote the intact and damage structures, respectively, and the vertical bars represent the magnitude of the function.
The solution obtained by combining the multiple objective functions to a single-objective function depends on the relative importance of the objective functions (f_{1} left( x right),{text{and}},f_{2} left( x right).) So, while setting the weights for combining the objectives, only the relative importance of the objectives should be considered and not the relative magnitude of the function values.
The amount of urinary Klotho, rather than the serum Klotho levels, should be linked to the magnitude of the functioning nephrons in CKD patients.
In the course of grid generation, the magnitudes of the required control functions might be very large in a region where clustering grids are needed.
The magnitudes of the frequency response functions (FRFs) from ambient vibrations are seldom to be investigated because they are not necessary for basic modal parameter (frequency, damping and mode shape) identification.
The D-optimal design method, Uciński (2003, June 18 20), produces as results the optimal number and spatial positions of measurements based on the behaviour (rather than the magnitude) of the sensitivity functions.
Since the order of magnitude of the cost functions introduced for the different stakeholders may differ, we have to introduce a weighted sum of the penalty costs p π to compensate these differences.
The pattern and magnitude of the various functions in all three rounds are very similar to each other, indicating that the precision characteristics of the method did not change much over the seven months between Round 1 and Round 3 or with the change in number and identity of the participants.
The magnitude of this function was folded along the vertical midline (temporal modulation frequency = 0) to obtain the Ripple Transfer Function (RTF).
In this model, the microstructural damage is characterized by an exponential softening function that depends on the current magnitude of the strain energy function and its maximum previous value in a deformation of the virgin material.
