Sentence examples for by using the usual from inspiring English sources
Model uncertainties cannot be modelled by using the usual parametric probabilistic approach.
The main trait of this free boundary problem is that it is essentially multidimensional, so that its well-posedness is hard to establish by using the usual methods in the classical theory of free boundary problems.
First, the sound insulation system is modelled by a time series representation of the relationship among the output, signal input and contaminating noise acoustic powers, with discrete time sampling, rather than by using the usual respective spectral densities in the frequency domain.
The main originality of this work lies in considering complex structural intensity and establishing appropriate energetic boundary conditions for both active and reactive space-averaged structural intensities by using the usual boundary conditions for the displacement field and the stress tensor.
These are defined by using the usual Hukuhara difference ⊖. ([22]).
When (a=b=0), we can study problem (1.1) by using the usual methods and give some results about the existence and uniqueness of positive solutions (see [3]).
If you are unable to get a normal sustained erection, either with a partner, by yourself or using the usual visual imagery on a regular basis, then you should seek medical help.
By Lemma 1, using the usual rules for computing limits, we have lim_{n toinfty}x_{1}(n) = frac{1}{1+bar{p}}cdotlim _{n toinfty}z(n).
By discrediting the opposition and using the usual perks, threats and blandishments of incumbency, UMNO and its partners could yet cling to office, at least for a while.
The MI for the right- and left-hand circularly polarized EMW can be obtained using the usual method introduced by Shukla et al. [46].
Baseline and end-of-treatment characteristics have been summarized using the usual descriptive statistics: by count and percentage for qualitative variables and by mean and standard deviation for quantitative variables.
