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Next, using the notion of soft element, we define, in a different way than in the literature, a soft mapping transforming a soft set into a soft set and provide basic properties of such mappings.
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There were 1,548 racial incidents (defined in a different way from London's) there last year, compared to 1,026 the year before.However, as the police are quick to point out, there are several very plausible reasons for these huge increases, besides the possibility that racial crime has actually increased.
Acid base competitive ionization rules are defined in a different XML format.
However, the mesh in the proposed WMD model is defined in a different way and the process of handling its deformations is built upon different assumptions.
In addition, Chinese learners may have different language use situations and cognitive styles from the European learners, so the construct should be defined in a different way.
Of course, a point can be also defined in a different way, which has not been analyzed in the previous procedures.
Depending on the permutation scheme used, a slot is defined in a different way although it always encompasses 48 data subcarriers.
Therefore, an ISM defined in a different way might be able to produce a better result in these examples, but then, it obviously remains to be seen if its better performance would be related only to this particular image.
Using the Dice overlap statistic [47], which measures spatial overlap between two regions defined in a different way and has a range of 0 (i.e., no spatial overlap) and 1 (i.e., complete overlap), our results showed that κ > 0.7 for small structures and κ > 0.9 for gray and white matter, thus indicating excellent agreement which is generally defined as κ > 0.7 [48].
Your boundaries may be defined in a different way.
If (f= ( f^{ ( n ) },nin mathbb{N} ) ) is a martingale, then the Vilenkin-Fourier coefficients must be defined in a slightly different manner: widehat{f} ( i ) :=lim_{krightarrowinfty } int_{G_{m}}f^{ ( k ) }overline{psi}_{i},d mu.
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