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The simulations suggest that the retardation of the breakage of coarser particles due to their interactions with the finer particles can significantly delay the attainment of self-similarity and broaden the self-similar PSD attained.
Both non-linear models predict attainment of self-similar PSDs, albeit slightly different, under cases of mild non-linear effects.
Although they were roughly divided into rightists, leftists, and middle-of-the-roaders, they had a common goal: the immediate attainment of self-government.
God or no God, immortality or no immortality, it is vile to torture people just for the fun of it, and friendship, solidarity, love, and the attainment of self-respect are human goods even in an utterly godless world.
Compared with the relatively short convulsion that freed the United States from British rule, India's attainment of self-government was independence by incrementalism, a long and tortuous path strewn with missed opportunities.
While it is well-known that the linear time-invariant population balance model (LTINV-PBM) admits a self-similar solution, the attainment of self-similarity is not well-understood within the context of non-linear breakage kinetics.
However, when non-linear effects are severe, self-similarity can be delayed to prolonged milling in contrast to LTINV-PBM, which predicts the attainment of self-similarity shortly after the onset of milling.
Hegel maintained that history is the story of the unfolding or realization of "spirit"—a process that requires struggle, agony, and the overcoming of obstacles to the attainment of self-knowledge.
Jamhuri, or Independence Day, is celebrated on December 12. Moi Day (recognizing Daniel arap Moi) and Kenyatta Day, both in October, honour two of the country's presidents, while Madaraka (Swahili: Government) Day (June 1) celebrates Kenya's attainment of self-governance in 1964.
The objectives of this study were to: (1) assess differences in goal attainment of self-described goals after treatment of symptomatic pelvic organ prolapse (POP) for women who chose surgery compared to women who chose pessary; and (2) compare patient global improvement between groups.
Further, full attainment of self-actualization requires that learning be applied in service to a goal or end.
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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