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The second utilizes the assumption of a thin boundary layer, and is applicable for relatively large values of the reaction rate parameter.
The PVDM utilizes the assumption that the pulse density is close to that of the surrounding air when entering the transitional level between the gas thrust and the convective buoyant regime.
Using several of the tests proposed in Wilson [28], this paper fails to reject the null hypothesis of homogeneity.3 The analysis therefore utilizes the assumption that OECD countries are suitably homogeneous.
By selecting shifts for individual tilt-series images that globally lead to physically plausible motions for the centers of mass of many cross-sections, our method effectively utilizes the assumption that the sample object is rigid to improve the alignment and the resolution of the final reconstruction.
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This solar energy assessment for the City of Guelph utilized the assumption that the solar panels would be rooftop-mounted on existing buildings.
Simar and Wilson [19], however, described a heterogeneous bootstrapping procedure that does not utilize the assumption of homogeneity, though it comes at the cost of increased computational length.
Utilizing the assumption that the four measurements made on each subject during this study should be equal, the relationship of within-subject variance was described using a quadratic-plateau model as assessed by segmental polynomial (knot) regression.
Considering the effects of both the different material properties of composite layers and the poling directions of piezoelectric layers, we utilized the assumption of the simple-higher-order shear deformation theory to model and analyze the laminated composite plate integrated with the random poled piezoelectric layers.
(ii) By utilizing the assumption (V(mathrm{Q}(D^{0}))>0), i.e., min bigl{ bar{F}(x mid x_{0}leq V-eta,xin D^{0} bigr} >0, (3.2) we have the following conclusions: (a) If (V=x^{u}_{0}+eta ), by (3.2) we get ({xmid bar{F}(x) le 0, xin D^{0}}=emptyset ), which implies that problem (mathrm{P}(D)) has no feasible solution.
The authors utilize the assumption that in the limit of timescale separation, the diffusion matrix of the full network can be decomposed in block diagonal form as (89) D = D s 0 0 D f, where D f is of order γ−1and γ is a large parameter under timescale separation conditions.
The present model simplifies the complete conservation equations governing the IFR system by utilizing the assumptions that the initial IFR coating layer (virgin plus melt) is thermally thin and its expanding char layer, which includes also the vapor and the foam, has negligible volumetric heat capacity.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com