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They assumed that "8" in the numerical expression was considered to be an existence sentence.
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Numerical results show that the derived numerical expression is quite accurate to evaluate the outage performance of multi-hop cellular system, and further prove that the multi-hop cellular system in this paper can provide a significant performance gain over the conventional cellular system.
Transformations of numerical expressions are governed by implicit or explicit understandings of mathematical properties and relational views of the equal sign [10, 44].
In the present study, characteristics of several numerical expressions were investigated, and it was found that the characteristics of velocity fields vary widely from model to model, making it difficult to choose one that is generally applicable.
Any kind of mathematical expression is allowed that evaluates to a non-negative numerical value, see also [ 28].
If numerical expression results were compared for the 4 ANT isoform genes (scatter plots in Additional file 4), the expression levels were similar in glioblastoma versus control tissue for the ubiquitous ANT3 isoform gene and the identified co-regulated genes.
A higher expression was defined as a numerical value 1.5 times greater than those in another group.
AID expression was considered detectable when the numerical index was >2.0.
Over the last few decades, numerous analytical and/or numerical expressions have been developed for predicting the permeability of a fibrous medium.
HGDI was based on the following numerical expression:, where s is number of distinct spoligotypes; n is number of unrelated strains (identical spoligotypes isolated from same carcass were considered as one); xj is frequency of ith spoligotype.
The numerical implementation of the derived expression is combined with the extended finite element method (XFEM).
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