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It is based on the well-known principle that, in packed bed at 2 < D/d < 3, particles in contact with the wall tend to form a highly ordered ring structure.
The set L 0 with the P-almost everywhere order is a lattice ordered ring, and for a non-empty subset C ⊆ L 0, we denote the least upper bound by ess sup C and the greatest lower bound by ess inf C, respectively (cf. [1]).
Motivated by financial applications, we study convex analysis for modules over the ordered ring L0 of random variables.
The rest of the article is organized as follows: Section "The ordered ring facets (ORF) framework" describes the 3D mesh surface representation and the related algorithms.
Basically, the algorithm forms a set of ordered ring facets (ORF) [30, 31] and calculates the primitive functions such as mean or Gaussian curvature for each facet in the ring.
In yeast, four essential septins (Cdc3, Cdc10, Cdc11 and Cdc12) are found at the bud neck (Haarer and Pringle, 1987; Ford and Pringle, 1991; Kim et al., 1991), where they form an ordered ring composed of membrane-adjacent filaments (Hartwell, 1971; Byers and Goetsch, 1976).
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Interestingly, there seem to be two types of these: the first (lower on the hill slope) are neatly ordered rings of bodies and petrel parts, a clear patch of sand with bird remains strewn about.
In his book "Partially ordered rings and semi-algebraic geometry" (1979), Brumfiel contrasts different methods for proving theorems about real closed fields.
The proteasome is a multicatalytic proteinase complex with a highly ordered ring-shaped 20S core structure.
In eukaryotes, the proteasome is composed of about 28 distinct subunits, which form a highly ordered ring-shaped structure (20S ring).
Smith ordered the ring in advance of asking his future father-in-law for his blessing, but it wasn't delivered on time.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com