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(25) Now, we utilize the reduction method [11, 28 32], instead of using the usual method based on invariants.
The MI for the right- and left-hand circularly polarized EMW can be obtained using the usual method introduced by Shukla et al. [46].
In this situation, using the usual method of ordinary least squares (OLS) to obtain fitted response functions for the mean and variance of the quality characteristic of interest may not be an effective tool.
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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]).
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.
The first group used a web-based instrument to assess professional behaviour and the other group used the usual method with a paper assessment form.
Participants using the WAS reported a higher level of satisfaction with the registration method than those using the usual queuing method (71.7% vs. 49.0%, P < 0.001).
Step 11: Using the above constraints matrix and objective function, it computes the optimal solution using the usual simplex method.
Samples (100 μl) were taken from the feed cell into which metal was adsorbed and the solution is estimated for chromium and cadmium using the usual EDTA method (Prakash et al. 2012).
One can establish fixed point theorems for such mappings pairs not only under nonexpansive conditions but also under Lipschitz type conditions even without using the usual contractive method of proof.
Of the 500 patients using the usual queuing method who were randomly selected for inclusion in the study, responses were obtained from 463, a response rate of 92.6%.
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