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Numerical results are presented for various orders of the present method, other approximate theories as well as the exact three dimensional theory.
He gave tables of volume radius, area, average gravity and average inverse gravity as a function of mass ratio and F. Pathania and Medupe (2012) present series expansions for the radius of Roche equipotential surfaces, and compare various orders of the expansion to numerically calculated values.
This rare green alga, which Geitler observed in only two locations in Austria, had been considered to belong to various orders of the Chlorophyceae until Rogers et al. [ 54] placed it in the newly erected charophycean order Chlorokybales on the basis of the ultrastructure of the flagellar apparatus.
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Useful general relationships for the computation of derivatives of various order of the fundamental solutions are presented.
Carbonate rock samples are particularly challenging because of their wettability and the various orders of variation in the pore-size distribution.
Representatives of the various orders of society, assembled in the Kremlin, declared themselves for Peter, who was then proclaimed tsar; but the Miloslavsky faction exploited a revolt of the Moscow streltsy, or musketeers of the sovereign's bodyguard, who killed some of Peter's adherents, including Matveyev.
Below the younger sons of barons are baronets, knights, circuit judges and companions of the various orders of Chivalry, followed by the eldest sons of younger sons of peers.
Patterns of the leaf veins are often characteristic of plant taxa and may include one main vein and various orders of smaller veins, the finest veinlets infiltrating the mesophyll, from which they collect photosynthates.
More in depth knowledge of the various orders of complexity of genomic DNA structure has allowed the design of sophisticated bioinformatics tools for its analysis and manipulation, which, in turn, have yielded a better understanding of the genome itself.
A deeper understanding of the various orders of complexity of genomic DNA structure has allowed the design of sophisticated biochemical and biophysical tools for its analysis and manipulation, which in turn, have yielded a better knowledge of the genome itself.
Like the zoologist who must distinguish and describe the various orders of animal life as an indispensable stage in the broad attempt to understand the character of such life as a whole, the student of religion also must use the tool of classification in his outreach toward a scientific account of human religious experience.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com