As a comparison scores, they employ a straightforward linear summation of the minimum score of the shared MeSH terms.
Our approach, based on direct summation, allows straightforward combination of multiple forces and enables nonlinear force models; the latter, in particular, are incompatible with the transform-based techniques typically used.
We show that among the different theoretical approaches that are adequate to describe these materials, the field summation approach provides a very straightforward way to derive the effective permeability.
Using (2.2), (2.6) and the summation by parts formula, a straightforward computation shows that (2.8).
However, this extension to torsion angle space is not straightforward, since the potential V in the summation cannot be calculated by simply considering the two torsion angles φr and φi alone – we need to set all other torsions also to specific values.
In our algorithm, the computation of surface area and volume is straightforward, i.e. the surface area is the summation of all the triangular patches while volume is the product of the number of grid points in the macromolecular solid and the unit volume for each point.
Note that for the multi-antenna/receiver case, is actually the summation of signals from all antennas, which is a straightforward cooperative sensing scheme [41, 56, 57].
Its proof is straightforward and can be achieved directly by changing the order of summations.
The restriction to the Banach spaces stems from the fact that the method of our proof requires multiple application of summation by parts and proceeding to the limit of a Cauchy sequence, which may be done in a straightforward way in any Banach space.
