Group discrete

Rozhkov, M. The summation of markov sequences on a finite abelian group. Discrete Mathematics and Applications, 20(5-6) 685-706, 2010. 

The l23Hnne-group discrete and smeared model calculations give average multiplication factors of 0.997 and 0.993, respectively. Hiis shows that the discrete and smeared model results are in good agreement within the 0.003 statistical error limits. The 16-broad-group discrete and smeared model... 

The discrete modeL average multiplication factor y e obtained using I23-fine-groiip cross sections is. lower than the critical value by Q3% (in terms of keff) whereas li6-broad group discrete model calculations ve an average keff hij er than the critical value of 2.2%. 

A number of refinements and applications are in the literature. Corrections may be made for discreteness of charge [36] or the excluded volume of the hydrated ions [19, 37]. The effects of surface roughness on the electrical double layer have been treated by several groups [38-41] by means of perturbative expansions and numerical analysis. Several geometries have been treated, including two eccentric spheres such as found in encapsulated proteins or drugs [42], and biconcave disks with elastic membranes to model red blood cells [43]. The double-layer repulsion between two spheres has been a topic of much attention due to its importance in colloidal stability. A new numeri-... 

Woodruff and co-workers introduced the expert system PAIRS [67], a program that is able to analyze IR spectra in the same manner as a spectroscopist would. Chalmers and co-workers [68] used an approach for automated interpretation of Fourier Transform Raman spectra of complex polymers. Andreev and Argirov developed the expert system EXPIRS [69] for the interpretation of IR spectra. EXPIRS provides a hierarchical organization of the characteristic groups that are recognized by peak detection in discrete ames. Penchev et al. [70] recently introduced a computer system that performs searches in spectral libraries and systematic analysis of mixture spectra. It is able to classify IR spectra with the aid of linear discriminant analysis, artificial neural networks, and the method of fe-nearest neighbors. 

In conjunction with the discrete penalty schemes elements belonging to the Crouzeix-Raviart group arc usually used. As explained in Chapter 2, these elements generate discontinuous pressure variation across the inter-element boundaries in a mesh and, hence, the required matrix inversion in the working equations of this seheme can be carried out at the elemental level with minimum computational cost. 

Sodium metaborate absorbs CO2 from the atmosphere, forming borax and sodium carbonate. Crystals of the tetrahydrate melt in its water of crystallisation at about 54°C. The soHd-state stmcture of the tetrahydrate, Na[B(OH)J 2H20, consists of discrete tetrahedral B(OH) 4 groups (90). 

Copper alloys can also be grouped according to how the principal elemental additions affect properties. This grouping depends primarily on whether the additions that dissolve in Hquid copper can form discrete second phases during either melting/casting or in-process thermal treatment. AHoy constitution that relates to limits of soHd solubiUty and equiUbrium phases that form in binary and ternary combinations with copper are found in the Hterature (2,3). 

The first step in assessing the candidate tollers is to notify the candidates they are being considered for this toll, and determine their interest in further evaluation. Pending mutual interest in further consideration, the companies must establish lines of communication with commercial representatives, technical/manufacturing representatives, and health, safety and environmental (HS E) representatives. There may be one person in a candidate company that funnels the communication from these three groups or several, especially if the HS E function is split. Tollers should recognize these discrete needs and be prepared to respond accurately and efficiently to enhance their merited consideration. 

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