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Since surfaces and triple intersection lines can be conservatively smoothed, the algorithms are suitable for improving multimaterial grids used by physics simulations where exactly conserving the volume of each individual material may be a requirement or at least highly desirable.
Therefore, this triple intersection could not be reliably evaluated here.
Lonsdale noted the occurrence of geometrically inevitable and so-called 'accidental' triple intersections, where the former gives rise to the vanishing determinant meaning that the reflections are coplanar and the triple intersection occurs at all energies.
SP1 binding sites were found in: 2 common genes identified with the oligo analysis and MEME; 12 genes common to oligo analysis and oPOSSUM; 5 genes common to MEME and oPOSSUM; the only common gene to the triple intersection was OLFML2A.
When inspected at the level of individual genomic regions, out of 148 high-confidence ERs obtained from the triple intersection of SCML2, HA, and BMI1 ERs, a majority displayed losses in SCML2 binding in the absence of the RBR and many also had decreased BMI1 occupancy.
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Incidentally, coplanar triple intersections can be useful for precise monitoring of structural phase transitions.
The method we propose can truly take advantage of the variable energy of synchrotron sources to deliberately choose triple intersections with non-vanishing determinants.
The city is also home to the Great Turning Basin for boats, the world's only triple crossing of rail lines, and the intersection of two major interstates.
The hole diameters for the two idealized normal impact cases, in which the projectile hits the cell core and at the triple-wall intersection of the core, were also presented as a function of the projectile diameter and velocity in this paper.
We present smoothing algorithms for piecewise linear curves, surfaces, and triple lines of intersection of surfaces that are based on the the idea of sequentially relaxing either individual nodes or edges in the mesh.
We interpret the experimental and numerical images using simple models of the detonation front structure based on the "weak" version of the flow near the triple point or intersection of three shock waves, two of which make up the shock front and the third corresponding to the wave propagating transversely to the front.
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Justyna Jupowicz-Kozak
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