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Finite element equations are formulated by applying Galerkin technique on the coupled equations of pipe conveying fluid.
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Secondly, forward modeling of rehydration is formulated by applying the thermodynamic forward modeling approach proposed by Kuwatani et al.
In the first game, the suppliers' profit maximization problem is formulated by applying supply function bidding mechanism.
Second, the class-conditional mutual information (CMI) is computed to measure the dependence of the deep features of the RGB and depth images; then, the posterior probability of the RGB-D saliency is formulated by applying Bayes' theorem.
The composite laminated doubly-curved shells of revolution are divided into their segments in the axial direction, and the theoretical model for vibration analysis is formulated by applying first-order shear deformation theory.
By analysing 3D saliency in the case of RGB images and depth images, the class-conditional mutual information is computed for measuring the dependence of deep features extracted using a convolutional neural network; then, the posterior probability of the RGB-D saliency is formulated by applying Bayes' theorem.
This was formulated by applying a stochastic process model to approximate gene co-expression change procedure during cancer progression.
With this motivation, in the proposed method, variational noise models are formulated by selectively applying perturbation factors to the mean parameters of a basis model, resulting in a collection of noise models that more accurately reflect the natural range of spectral patterns seen in the log-spectral domain.
It is striking that very few proposals on selecting and weighting or aggregating have been worked out by philosophers based on foundational work in ethical theory; instead, most of the proposals on selecting or weighting have been formulated by scholars working in applied ethics, normative political philosophy, or engaged with normative work in the social sciences.
The first stress models were formulated by generalization of the known models applied under cyclic loadings.
The strongest demand raised for an applied and widely understandable science is formulated by nature itself through climate change and its impacts.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com