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We derive a tip angle dependent higher order constraint on the solution at the tip and show this to be a very useful validation criterion.
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Noguchi et al. [7] also utilize cross-efficiency evaluation technique to select the winner, but present a strong ordering constraint on the weights.
After imposing the first-order constraints on the system, the next step is to evaluate the aberrations of the system using FFDs, as shown in Fig. 3.
We describe the algorithmic techniques used to produce assembly instructions given object geometry, orientation, and optional grouping and ordering constraints on the object's parts.
This environment implicitly imposes ordering constraints on the self-assembly process, where certain parts of the target structure must be assembled before others, and where it may be necessary to assemble (and subsequently disassemble) temporary structures such as staircases.
This will provide first-order constraints on the planetary Fe/Si ratio.
First-order constraints on the planetary Fe/Si ratio (Rivoldini et al. 2011; Sohl and Spohn 1997) will be provided by the radius of Mars' core, which will be evident from core-reflected P and S (PcP and ScS) and core penetrating (SKS, SKKS) travel times.
For constrained estimation (CEM), we impose the ordering constraints on μ i 's in this M-step.
Partial order constraints placed on the variables may sometimes be theoretically justified.
Biologically, this serves as a reasonable approximation of some important evolutionary constraints on RNA secondary structure alignment, although it neglects higher order constraints, including pseudoknots and tertiary structure.
That order included constraints on the ability of Hollinger Inc. to elect or remove directors.
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