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The CNCs are highly oriented in the composite fiber, which is confirmed by second and fourth order orientation parameters:⟨P2(cosθ)⟩ and⟨P4(cosθ)⟩.
Stage Four is the "law and order orientation".
The standard Hybrid closure model of Advani and Tucker was applied to approximate the evolved fourth order orientation tensor during the fiber orientation calculation.
Second order orientation tensor description was used to describe the MWNT orientations in these flow fields in the 2-D plane.
Injection moulding simulations traditionally provide second order orientation tensors, which are considered together with a homogenization scheme to compute local material properties.
These algorithms concern the respective aspects: the packing order, orientation decisions of parts, collision checking among parts and processing, position decisions of parts, efficiency verification, and loading and unloading simulation.
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Nevertheless, further assessment of regions of conserved synteny by direct sequencing of full-length BAC clones and by evaluating gene content and orthology revealed that gene order, orientations, and gene length are highly variable across fish species (manuscript in preparation).
These regions were analysed further to identify DNA sequences with incorrect ordering, orientation or spacing.
The paper also discusses using the same technique with higher-order orientation tensors to encode information in face images.
To put it in a paradox way: right there where futures studies are most needed they are most unable to help in the framework of first-order orientation.
In the second way, evolution equation for second-order orientation tensor, which represents the second statistical moment of ODF, is solved instead.
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