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A novel approach is presented for deriving shape design variables, using a proper orthogonal decomposition of a set of training aerofoils to obtain an optimally efficient set of aerofoil deformation modes that represent typical design parameters such as thickness and camber.
In nodes that represent rotational degrees of freedom, the median of all optimal modes that represent consecutive angles is chosen.
Also, a small penalty of -0.1 is assigned to flipped modes and modes that represent uncommon protonation states, i.e. protonated carboxylates and unprotonated amines to ensure that the original version is retained if only minimally better interactions exist in an alternate mode (Table 2).
It is also necessary to minimise shape heterogeneity within the dataset as this allows a clearer distinction between shape modes that represent actual anatomic shape variation and shape modes that represent oppositional patterns of asymmetric shape variation due to subject positioning.
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It's a peculiarly powerful mode that represents a welcome shift in queer cinema – an embrace of the real.
The eigenvector with the highest eigenvalue is the principle mode that represents the highest energy of the flow.
Mode 1, the lowest frequency mode that represents the opening/closing mode, represented about 40% of the total protein motion in the absence of CO2.
(16 where (leftlangle {g_{kl} g_{km} } rightrangle) is the ensemble averaging, and the weights are sorted out in descending order (W_{1} ge W_{2}, ldots,W_{N}, ge 0), and higher weights correspond to mode observations that represent the features shared by many observables.
On this view, experience is not confined to its content but includes modes or dimensions that represent frames of meaning social, moral, aesthetic, political, religious through which whatever is encountered can be interpreted.
In this passage, ideas are cast as modes of thought that represent (or present or exhibit — Descartes uses such terms interchangeably) "objects" to the mind.
First, the ECG signal is decomposed into intrinsic mode functions (IMFs) that represent signal characteristics with sample oscillatory modes.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com