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In a system with given intermolecular forces the distribution functions express average numbers of pairs, triplets etc. as functions of molecular distance(s), orientation coordinates and state conditions.
As a consequence, the forms of the linearized equations and the eigenvalue solution obtained strongly depend on the set of orientation coordinates used.
Different MBS algorithms, however, employ different sets of orientation coordinates, such as Euler angles and Euler parameters, which lead to different forms of the dynamic equations of motion.
The geometry between the satellite, the Sun, and the observing location at the time of each of the brightest observed reflections, was used to estimate Echostar-2's equatorial spin axis orientation coordinates.
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Parameters of the ellipsoid, such as axis orientations, coordinate of the center, as well as half-length of the principal axis were statistically analyzed to provide the distribution characteristics of the initial defects.
"Maps address an existential question as much as one that's about orientation and coordinates.
Papatūānuku Cardinal directios, orientation, and coordinates Stratigraphy: how we read the story of the Earth by using the Principle of Uniformitarianism and the Law of Superposition.
The design variables are ply orientations and coordinates of interpolation points which define a closed plane spline curve.
Chromosome DNA sequences and gene annotation information (including the official symbols, orientations, and coordinates of NCBI reference gene sequences and exons) were retrieved from UCSC tables for NCBI36/hg18.
How cell division orientation is coordinated in a cell embedded within a tissue is more complex, as mitotic spindle positioning can be influenced by extrinsic cues, including cell shape, cell-cell adhesion, morphogen signals and extracellular matrix organization (Minc and Piel, 2012).
If occupancy values for multiple orientations were equal, coordinates of the first encountered orientation (as appeared in the PDB file) were taken into account.
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