They assumed that "8" in the numerical expression was considered to be an existence sentence.
Any kind of mathematical expression is allowed that evaluates to a non-negative numerical value, see also [ 28].
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.
The numerical implementation of the derived expression is combined with the extended finite element method (XFEM).
Numerical results show that our BER expression is accurate.
This expression is validated against numerical, theoretical and experimental results.
Thus, this new expression is simpler for numerical calculations in comparison with the previous one.
A method of direct numerical integration of the frequency-ratio expression is proposed to study the non-linear free vibration behaviour of rectangular cross-ply laminates.
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.
