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We say that two G-designs (Vi,Bi), i= 1,2, are exactly embedded into (X,D) if X= V1∪V2, |V1∩V2|="0 and there is a bijective mapping f:B1∪B2→D such that B is a subgraph of f(B), for every B∈B1∪B2.
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We give necessary and sufficient conditions so that two G-designs can be exactly embedded into a (G+e -design.
To enhance the accuracy of shape design sensitivity, the CAD-based higher-order geometric information such as curvature, normal, and tangential vector is exactly embedded in the sensitivity expressions.
To enhance the accuracy of configuration design sensitivity, the CAD-based higher-order geometric information such as normal and tangent vectors is exactly embedded in the design sensitivity expressions.
We also consider the following two problems: (1) determine the pairs {v1,v2}⊆SG for which any two nontrivial G-designs (Vi,Bi), |Vi|= vi, i= 1,2, can be exactly embedded into a (G+e -design; (2) determine the pairs {v1,v2}⊆SG+e -design there exists a (G+e)-design of order v1+v2 exactly embedetermine nonthevial G-designs (Vi,Bi), |Vi|="vi, i="1,2.
In order to investigate the effect of increasing the number of OTUs on MSA and downstream analyses we also perform simulations on groups of 8, 64, and 512 OTUs where the tree and relative branch lengths shown in figure 1 A is exactly embedded within the larger group of OTUs while spanning the entire tree topology.
They're just embedded," he says.
The items of the three subscales are embedded in the KDQOL-SF™ and they are exactly the same as the KDQOL-SF™.
Both contracts are exactly solved.
This is exactly why Twitter is showing embedded photos and videos, so you don't have to leave the service that you're currently using.
Reversible watermarking techniques embed data in a host signal (for example, an audio/image) and allow for the original digital image to be exactly recovered.
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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