Method alternative-triangle

The alternative triangle method. Making a. substantiated choice of the operator B will be justified in more detail a little latter. Recall that any product B of economical operators is also an economical operator. This is certainly true for triangle operators Bi and B2 for which the operator B — B B2 would be economical . 

Thus, three different examples of interest bring out the indisputable merit of the alternating direction method and unveil its potential. From what has been said above it follows that the factorized schemes find some range of applications solely in rectangles and parallelepipeds and no more. The only exception is the case B = BiB, Ba = E + tRc, where Ri and R2 are triangle operators, by means of which it is possible to generate a lower-order approximation only under the condition r = 0 h" ). 

The formation of colloidal sulfur occurring in the aqueous, either alkaline or acidic, solutions comprises a serious drawback for the deposits quality. Saloniemi et al. [206] attempted to circumvent this problem and to avoid also the use of a lead substrate needed in the case of anodic formation, by devising a cyclic electrochemical technique including alternate cathodic and anodic reactions. Their method was based on fast cycling of the substrate (TO/glass) potential in an alkaline (pH 8.5) solution of sodium sulfide, Pb(II), and EDTA, between two values with a symmetric triangle wave shape. At cathodic potentials, Pb(EDTA)2 reduced to Pb, and at anodic potentials Pb reoxidized and reacted with sulfide instead of EDTA or hydroxide ions. Films electrodeposited in the optimized potential region were stoichiometric and with a random polycrystalline RS structure. The authors noticed that cyclic deposition also occurs from an acidic solution, but the problem of colloidal sulfur formation remains. 

National Institutes of Health (NIH), Corrositex an in vitro test method for assessing dermal corrosivity potential of chemicals, NIH Publication No. 99-4495, National Toxicology Program (NTP) Interagency Center for the Evaluation of Alternative Toxicological Methods (NICEATM), Research Triangle Park, North Carolina, 1999. 

Figure 41. A schematic representation of the SOPHE partition scheme (a) SOPHE partition grid in which the three sets of curves are described hy Eq. (8) SOPHE partition number N equals 10 (b) subpartitioning into smaller triangles ean be performed by using either Eq. (8) or alternatively the points along the edge of the triangle are interpolated by the eubie spline interpolation method and each point inside the triangle is linearly interpolated three times and an average is taken.

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