Sentence examples for procedure of dimension from inspiring English sources

Using exact solutions as the basis for the two-dimensional expansion, we found that the usual procedure of dimension reduction works perfectly in this case because the unknown wavenumber is eventually removed in the expansion process, and the depth of the solid is considered through integration constants that are exponentially decaying functions of the wavenumber, which is to be specified.

Our methods used are the procedure of descending dimension and theory of majorization; and apply techniques of mathematical analysis and permanents in algebra.

It provides a computable procedure for processes of dimension up to 5 × 5.

In contrast, the right parts of Tables 7, 8 and 9 present the results of additional applying the proposed procedure of reducing the dimension of solution space in the matrix updating problem described in Sect.

After annealing procedure of the surface, dimensions of the gold nanoislands were in the range of 40-80 nm in diameter [26, 27].

It is important to properly select the pre-stressing anchoring system, appropriate layout and arrangement of pre-stressing wires, pre-stressing procedure and dimension of pre-stressing forces in the individual wires.

The aim of dimension reduction procedures is to summarize the original p-dimensional data space in a form of a lower k-dimensional components subspace ((k ll p)).

In our experience, R provides the most extensive collection of dimension reduction procedures available, many of which are in the dr package [56], but not all software have packages devoted to the implementation of dimension reduction.

Two mathematical concepts are used to characterize the geometry of these spaces and to identify possible impacts of variability in data or changes in the models or solution procedures: the dimension of the maximal free generator subspace in vector spaces and the principal angles between subspaces.

The only parameter we need to set in this procedure is the number of dimensions X to preserve when performing SVD.

Good estimates for the required composition, geometry, dimensions and preparation procedure of various types of delivery systems will be available, taking into account the desired administration route, drug dose and release profile.