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Across all models investigated in the current study, residuals around the constraint points were negatively correlated.
where N is the total number of the constraint points on the EXIT curve, indexed by w.
An inverse procedure is used to optimize the coil's characteristics, subject to the restrictions imposed by the desired field behavior over a certain set of constraint points inside a predetermined imaging volume.
Constraint points (breast height and height at the upper stem diameter measurement point) were considered as the other starting points, aside from the ground level, because error variance at these points is 0 (because the models investigated are conditioned to predict the observed dbh and the observed upper stem diameter).
where the, index w is introduced, representing the pre-defined MI constraint points, and also another parameter ϵ w representing the acceptable gap between Ie,Decand Ia,Dec ,such that I e, Dec ,w - I a, Dec ,w ≥ ε w ≥ 0 for 1 ≤ w ≤ N, (17).
Then, dental-targeted constraint points can be initialized to prepare for the harmonic field calculation.
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Considering the compatibility requirements on each constraint point, the relationships between two adjacent spans can be obtained.
Codon bias, structural constraint, point mutations, and shortened coding arrays may be alternative means of stabilizing precursor mRNA transcripts.
It is easy to explicitly recognize when no non-zero terms are found in Eq. 4 (as none of the constraint point lie within the radius of support of the point being evaluated).
Equations 11 and 12 are based on the reasoning that error variance will depend on tree size (represented by dbh) and distance from the ground or distance from the constraint point.
The elastic and thermo-elastic material properties are investigated and the effect of higher statistical moments (see, e.g., Torquato, 2002), i.e. of the particle shape and relative position, is evaluated in terms of constraint point sets used in the generation of the random microstructures.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com