id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
hij-848	Karimova, Lyutsiya; Makasheva, Guldana; Malyshev, Vitaliy; Kharchenko, Yelena; Kairalapov, Yerlan	Permissible Extrapolation Justification of the Multiplicative Multifactorial Model and Its Application to the White Soot Production Technology	2024	14	.pdf	application/pdf	8322	380	45	The basic nonlinear (multiplicative) model is expressed as a product of linear partial functions with normalization by their arithmetic mean values, while the dimensionalities of the partial dependencies for each factor are reduced during normalization and become dimensionless (unit fractions, u.f.). Our research is characterized by the possibility of combining linear and nonlinear mappings in multifactorial dependencies, if it is necessary to extrapolate beyond the studied range to obtain separate areas of optimal values of a multidimensional function.	cache/hij-848.pdf	txt/hij-848.txt