Electroreduction of some alkylchlorosilanes in the presence of difficult to reduce unsaturated compounds (phenylacetylene, styrene, cyclohexene) results in silylated products where the multiple bond has either reduced multiplicity (hydrosilylation) or the same multiplicity (silylation) depending on the nature of the starting compounds and conditions of electrolysis.
On the contrary, Paul is attempting to reduce multiplicity to unity (the passage is from many to one).
With full structural multiplicity, the solver was not able to determine the optimal structure; but with reduced multiplicity the optimal structure has been determined.
In fact, Paul's definition of formal distinction inverts the terms of the question in relation to the preceding approaches, as Paul is attempting to reduce multiplicity to unity (the passage is from many to one).
The shift from massive multiplicity in the gene expression approach, to reduced multiplicity in pathway-based methods raises interesting questions about the accuracy of FDR-based procedures in pathway studies.
Knocking out SRC-3/AIB1 in mice has been shown to confer resistance to DMBA-induced mammary cancer, resulting in an increased tumor latency, reduced multiplicity, and slower growth rate (Kuang et al. 2005).
The formulation presented here renders the computational procedure very efficient by reducing the multiplicity of the integrals.
However, significant association (p-value > 0.05) was not observed in reducing crypt multiplicity.
Celecoxib treatment was efficacious for the prevention of intact neu-induced rat mammary carcinomas, reducing tumor multiplicity in two independent trials by 56% (P < 0.0001, Table 1 and Figure 1a) and by 74% (P = 0.0003, Table 1 and Figure 1c).
Though one reason for use of a composite is to reduce the multiplicity problems associated with multiple separate endpoints, composites can do so only if it is agreed that treatment impact on each of the endpoints is of value and if the endpoints move in the same direction.
