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It reinforces Kremlin aspirations for a sphere of influence, a dynamic that undercuts those in Russia who wish for a democratic future and a constructive Russian role in world affairs.
Hence at high velocities one may expect where A′ is some effective cross-sectional area, presumably comparable to its true cross-sectional area A (which is πD2/4 for a sphere) but not necessarily exactly equal to this.
McKay had a tip for Conway; he suggested that it might be worthwhile exploring a mathematical commodity that had recently attracted interest: the Leech lattice (discovered by the University of Stirling's John Leech) – the best lattice for a sphere packing in 24 dimensions, with the "lattice" being a set of points derived from the centres of the spheres.
Other types depend on measurements of the time taken for a sphere to fall through the fluid, or of the force needed to rotate the inner cylinder of a coaxial pair (the space between the two cylinders being filled with the fluid under test), or of the rate at which oscillations of a disk vibrating in the fluid die out.
Specific examples, with numerical values, are given for a sphere and a slab.
For a sphere, (1/4)πd2 (where d is diameter) is used.
The drag coefficient for a sphere (gray line) is also shown as a reference.
The scattering amplitudes can be solved for a sphere with S3 = S4 = 0.
For each specific point descriptor (defined for a sphere and atom type) there are two values, one for each fragment.
which can be solved analytically for a Rasching ring and numerically for a sphere as catalyst bodies.
Transitional (from 2D axisymmetrical to 3D unsteady) regimes for a sphere were obtained for 210.5⩽Re⩽603.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com