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However, the same conclusion cannot be obtained if a 16-QAM system is considered (Figure 16b).
Note that if instead of the b-metric d we try to use the standard metric ρ ( x, y ) = | x − y | (with all other data unchanged), the conclusion cannot be obtained.
Also clear is that this conclusion cannot be obtained by means of standard topology optimisation based on sensitivity or density filtering (as often found in commercial finite element codes); robust 3D optimisation is required to obtain a usable, constructible (or in the future: 3D printable) structural design, with a crisp black-and-white density distribution.
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Hence all the conditions of Theorem 4.1 are satisfied and so ({x^{(n)}}) converges strongly to the fixed point ((0,0,ldots)) of T. Since T is not completely continuous, the above conclusions cannot be obtained by Theorem 3.1 in [4].
While working with still incomplete networks could be of valuable help to uncover unknown biochemical pathways, there are situations in which reliable conclusions cannot be obtained.
Analysis of this diagram has allowed us to reach conclusions that cannot be obtained by a simple fit of data points.
So the conclusion of the example cannot be obtained by using the main results in [18, 19].
Here, it is worth noting that the conclusions in Example 2.1 cannot be obtained using Corollary 2.1 as conditions (2) and (3) of Lemma 2.1 are not fulfilled.
This bootstrapped 95% CI defines a gray zone around the optimum criterion in which formal conclusions about prediction of MAP response cannot be obtained [ 25, 26].
The analysis shows that negative strain-rate sensitivity (SRS) cannot be obtained within such a framework, a conclusion previously reached by Hähner [Hähner P. Mater Sci Eng A 1996 207 208].
However, some important conclusions in the application of partial metrics to information sciences cannot be obtained in this way.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com