This simplifies the time domain (multi-dimensional) matrix inversion problem to bin-by-bin separation in the frequency domain.
The statistical evaluation shows that centering and scaling, prior to the application of SVD, operate on the input multi-dimensional matrix generally in a non-destructive way.
However, evaluation is generally so complex that it requires examination of a series of indicators representing various goals, organised in hierarchies (multi-level index models) or related through complex interactions (multi-dimensional matrix models).
After the accident, we found that there is a multi-dimensional matrix of perceived trust-benefits (with risks -attitude-intention to use, in explaining the public acceptance of risks -attitude-intentiongies.
With the techniques of vectorization and multi-dimensional matrix computation, the TIMMA-R algorithm has been made more efficient and scalable for large-scale analyzes.
Methods based on genetic distance matrices usually lose information during the process of tree-building by converting a multi-dimensional matrix into a phylogenetic tree.
The outputs from NMR experiments are NMR spectra, which are, mathematically speaking, multi-dimensional matrices.
In Stage 2, the software generated outputs are obtained which contains protein and modification site level annotations along with quantitative intensity measures from each experiment in Stage 1, these are often large spreadsheets with data in the form of multi-dimensional matrices.
In the literature usually the f(·| B i)'s are specified as multi dimensional normal density functions with cluster specific mean vectors and variance matrices.
So it was a multi dimensional challenge.
Poverty is multi dimensional.
