Sentence examples for basis for the representation from inspiring English sources

One crucial step is the selection of a nonconventional basis for the representation of the field of order 2m over the field of order 2, a fact which almost contradicts the elementary theorem that the Galois field of order 2m is unique, and that all bases define the same field.

To obtain the evolutionary kernel, in particular the window, we consider the bandpass DPSS as basis for the representation of baseband and passband signals.

We contend that this group can form the basis for the representation of the radar environment in terms of operators on the space of waveforms.

The currently active DPOs cannot be used as the basis for the representation of all Filipinos with disabilities as many do not belong to these organizations (Tabuga 2010).

KEGG Orthology (KO) consisting of manually defined ortholog groups that correspond to KEGG pathway nodes and BRITE hierarchy nodes, is the basis for the representation of KEGG reference pathway maps and BRITE functional hierarchies (Kanehisa et al.[2010]).[2010]

Otherwise go back to Step 2. In a very broad sense, an FES can be used as the basis for the representation of different forms of system knowledge, or to model the interactions and relationships among the system variables.

In the development of DL nothing seems to hinge on the associativity of the base system: it would seem entirely feasible, in other words, to develop DL as an extension of a non-associative basis, allowing for the representation of constituent-structure information.

Given a series of length N, and a maximum lag M, the eigenvectors are data-adaptive basis functions for the representation of the series and are called empirical orthogonal functions (EOFs), by analogy with the PC analysis of meteorological fields.

The algorithm uses direct product decomposition, and splitting fields determined using subgroups information in order to generate a canonical basis for the irreducible representations.

The basis for the structure information representation is the view of a molecule as an information network.

Laïcité, as a constitutional value and as a principle representing the neutrality of the state regarding religion, could have been the basis for equal representation and recognition of all faiths (Art. 2 of the Constitution) instead of emerging against Islam as an "official religion of France".