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A simple and straightforward assumption is that the mapping is measured by a weighting function with regard to the difference of their gradients.
On the macroscopic scale, the network of polymer chains are represented by isotropic three-chain and eight-chain network models that are linked together by a weighting function for describing the transition between them.
The derived hybrid central-WENO scheme is written as a combination of the central flux scheme and the numerical dissipation of the fifth order WENO scheme, which is controlled adaptively by a weighting function.
In a typical neuron shown in Figure 3, the input to the neuron x i is multiplied by a weighting function W i to generate the transformed input W i x i.
The differential expression levels are then multiplied by a weighting function
A positional oligomer (PO) is defined by a pair, where y is the subsequence of length k and i is the position at which it begins within the sequence of length L. We consider scoring systems of order K (that are based on POs of lengths k ≤ K) defined by a weighting function w:ℐ→ℝ.
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We observed that the effect of molecular size and shape on diffusion is characterized by an effective molecular volume, Veff, instead of the liquid volume at 0 K. Veff is calculated from an effective molecular diameter which is obtained by applying a weighting function over the three dimensions of the solvent molecule.
By properly selecting a weighting function, a robust controller is successfully designed via the D-K algorithm.
This clustered drag model provides a smooth transition between the uniform and clustered states by means of a weighting function with two model parameters.
Two sub-schemes, the WENO scheme and the central flux scheme, are hybridized by means of a weighting function that indicates the local smoothness of the flowfields.
The proposal is based on a usual multiaxial fatigue criterion weighted by a weight function depending on the stress gradient.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com