Sequential constructs

M. Stone and R.J. Brooks, Continuum regression cross-validated sequentially constructed prediction embracing ordinary least sqaures, partial least squares, and principal component regression. J. Roy. Stat. Soc. B52 (1990) 237-269. 

RhClCO(dppp) 2] for the sequential construction of an enyne precursor, starting from a malonic acid derivative and allylic acetate, which was converted in situ to the cycloaddition product with excellent yields. Obviously, the Pd complex catalyzes the allylic substitution reaction, while the rhodium catalyst is responsible for the PKR (Eq. 6). 

A mechanism can thus be developed systematically, beginning with the simplest species and reactions, which are common subelements in the combustion of more complex species, and sequentially constructed by incorporating new species and reactions in order of in-... 

Previous attempts to sequentially construct additive systematics for molecular energies (which a fortiori include MM) reviewed in [20] had the following common points the transferability hypothesis, one-determinant approximation for the underlying QM wave function, and a posteriori localization of the orbitals. These features collectively prevented authors reviewed in [20] from constructing a sequential route from the QM description of the molecular electronic structure to any additive systematics. The reason is that the real derivation of any additive systematics must include both a proof of transferability and a procedure of defining the relevant local states (whether transferable or not). The derivation of MM from QM consists of several steps ... 

Sun, D. X., Li, W., and Ye, Q. K. (2002). An algorithm for sequentially constructing nonisomorphic orthogonal designs and its applications. Technical Report SUNYSB-AMS-02-13, Department of Applied Mathematics and Statistics, SUNY at Stony Brook, New York. 

Furthermore, the single sequential constructions derived in this protocol will miss some concerted two-construction reactions, most notably cycloadditions like the Diels-Alder reaction. These are simply special cases of annelation. Annela-tions are of central importance to the synthesis of cyclic molecules since they are the family of reactions creating rings from separate, smaller starting materials (see Section 8, item 3, and Ref. )), They deserve separate special treatment as linked pairs of two successive half-reactions on two synthons. This could derive special exhaustive sequence lists for annelations, both those already buried in the present sequence lists and the important cycloadditions, cis /-lists of net structural change. 

Scheme 10.16 Sequential construction by asymmetric induction of two stereogenic centers bearing a 1,2-relationship...

Validation Sequentially Constructed Prediction Embracing Ordinary Least Squares, Partial Least Squares and Principal Components Regression... 

The in-line arrangement of reactors provides for sequential construction of power generation units. This allows for power to be generated as soon as a unit is completed, while installation and testing may progress on the following units. 

Matese, J.C., Black, S., and McClay, D.R., Regulated exocytosis and sequential construction of the extracellular matrix surrounding the sea urchin zygote, Dev. Biol. 186,16-26,1997. 

A construction period of <3 years for the first module of a reference 4-module GT-MHR plant with successively shorter periods for sequentially constructed follow-on modules. 

Sequential constructs enable the designer to describe the behaviour of the systems without specifying exactly the logic and interconnect required to achieve it. This is in contrast to the concurrent constructs, which go further down the path of describing discrete logic elements or modules with a clearer (if not fully defined) imderstanding of the physical circuit itself. 

Sequential constructs introduce many issues and concepts before a complete understanding is possible. Key ones include the following. 

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