Sentence examples for simplify formulation from inspiring English sources
Here, it is assumed that the size of holes in the porous plate is much larger than a characteristic microscopic length scale of the micropolar fluid to simplify formulation of the boundary conditions.
Also, to simplify formulation and analysis, as with in many other studies, we also assume that bandwidth between sensor nodes is large enough for conveying the sensed data and MAC protocol permits one node to relay messages without causing severe contentions or significantly increased delay.
In terms of the scaling factor, the positions of the four squares are given by the vectors (boldsymbol {a}_{j}~=~left { pm beta _{mathrm {t}}^{(1)}l_{0}, pm beta _{mathrm {t}}^{(1)}l_{0}right }) with all possible sign combinations, where (beta _{mathrm {t}}^{(1)}~=~left (1-beta _{mathrm {s}}^{(1)}right)/2) is used to further simplify formulations.
Furthermore, note that in our case, in which the decomposition of ambiguity graph instances is desired, the edge set (mathcal {E}) is given by a union of cliques7 (cf. Eq. (5)), which turns out to simplify the formulation of an expression for the clique-width.
To simplify the formulation for the case of symmetric sandwich plates, the general dynamic formulation was decoupled into two systems of equations representing symmetric and anti-symmetric vibrations.
In Olaizola and Valenciano (2015a) (c<1) is assumed to simplify the formulation of some results.
We employ different models for phase and amplitude interpolation and simplify each formulation.
In this paper, a modeling strategy is proposed to simplify the formulation.
Usually, a blocked pressure assumption is needed in order to simplify the formulation of the reciprocity technique.
We simplify the formulation, compared to previous literature, in order to reduce the degree of nonlinearity in the constraints and decrease the total problem size.
We find interestingly that, under this specific type of grading, the Green's functions permit an algebraic decomposition, which will in turn greatly simplify the formulation.
