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Theoretical justification for this practice can be provided, only up to vA≈0.5, by current analytical models based on cubic lattices of congruent spheres.
The cylinder walls are composed of congruent spheres arranged as a few layers of Kepler's optimal "cannonball" stack.
Finding the densest configuration for packing congruent spheres in three-dimensional Euclidean space was until recently the oldest and most famous unsolved problem in discrete geometry.
Consider a set of congruent spheres in three-dimensional space with each sphere connected to every other sphere, and with the spheres arranged in a minimum-connection-length configuration.
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Studies of AP translation in conscious individuals disagree whether AP translation affects maximum knee flexion angle after implantation of a highly congruent sphere and trough geometry PCL-substituting prosthesis in a TKA.
The Maxwell equation relates the permeability P of a dispersion of particles A (modeled as hard congruent non-interacting spheres) in a continuous matrix B, to the ratio of the permeabilities of the components α=PA/PB and the corresponding volume fractions vA, vB (=1−vA).
Originally devised for use at vA→0, the validity of the said equation for practical purposes was shown, by analytical methods, to extend to congruent weakly interacting spheres packed in regular cubic lattices, in the low to medium vA range; while the equation itself extends further up to the correct upper limit P=PA at vA=1.
As the shape of the visual and tactile stimuli was always congruent (circles and spheres), this condition was expected to show maximum activation in cross-modal integration areas.
It will happen on Iraqi terms when the reality on the battlefield is congruent with that in the political sphere.
The method by van der Helm et al is, however, slightly different from previous studies [3], [15] in which the geometric GH-JRC was considered to be the center of the sphere fitted to the congruent surface of the humeral head.
If human attitudes and beliefs are within an individual's power or sphere of influence, is this truly congruent with Stoic determinism?
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com