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The second formulation comprises a sum of boundary and field integrals; due to the field integrals, it has noticeably higher computational cost, obtaining though higher accuracy.
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Instability regions are obtained and the existence of combination resonances of the sum and difference types is discussed for each set of boundary conditions.
Whereas each object belonging to the cluster is demarcated by a single bona fide boundary, the cluster as a whole is demarcated by a mereological sum of the bona fide boundaries of its object entity parts.
Therefore, the "best boundary" can be denoted by a weighted sum of high cumulative edge strength and low cumulative curvature.
As a consequence, object aggregates can be demarcated by a mereological sum of either bona fide boundaries, if the aggregate is an object cluster (Fig. 5, left) or bona fide and fiat boundariesimmat, if it is an object group (Fig. 4).
In words, ({d}_{p}) maps each p-simplex to its boundary, the sum of its faces of codimension 1.
The optimal inter-plate spacing, when the most heat gain is blocked out, can be directly obtained from our test data which is very close to the sum of both plate's thermal boundary layer thicknesses.
With the comparison of data obtained from EIS and DC, the sum of pure membrane resistance, diffusion boundary layer resistance and electrical double layer resistance determined by EIS equaled to the overall resistance of membrane systems determined by DC.
The equilibrium configuration of identical particles evolved during sintering was determined by minimizing the sum of surface energy and grain boundary energy for the case where the interparticle distance was constrained.
The total resistance of the solid conductor is the sum of bulk resistance and grain boundary resistance, and it can be conveniently converted to conductivity by considering the thickness (l) and area of the sample using the equation of σ = l/RA.
We selected the regions at which rearranged reads (split reads) consisted of at least 70% of total reads mapped on boundary regions (sum of canonical and split reads).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com