The surrogate is based on an Analysis of Variance (ANOVA) expansion, such as widely used in statistics, with orthogonal polynomials representing the ANOVA subspaces and a polynomial dimensional decomposition (PDD) representing its multi-dimensional components.
First, in an era where obstetric fistula continues to be a neglected disease affecting a vulnerable, excluded and stigmatized population, a package of comprehensive care that seeks to address the multi-dimensional components of the condition seems essential.
Our network analysis of the modules revealed that the multi-dimensional genomic components are tightly connected and the CNV, DM and microRNA can have combinatorial impact on expression of important oncogenes and tumor suppressor genes.
The dataset was projected onto planes defined by the first two principal components via inspection of multi dimensional scaling (MDS) plots (Fig. 2).
In a previous study we used principle components (PCs) to reduce the multi dimensional data sets into lower dimensions [ 13].
The code has a capability of analyzing multi-dimensional multi-component mixtures and includes models for friction, heat transfer, chemical reaction, and multi-component molecular diffusion.
So it was a multi dimensional challenge.
Poverty is multi dimensional.
Via a novel population balance model framework, a multi-dimensional multi-component model for a continuous granulation process was developed, describing time evolutions of distributions with respect to granule size, liquid distribution and granule composition.
The machinery comprises a multi-dimensional IRT component (for item calibration) and a normal theory, latent regression (LR) model that links the estimand to the background factors.
The paper presents an overview of a digital approach to enable prediction of the behaviour of complex multi-component three-dimensional components in separation or assembly processes.
