Sentence examples for class of representations from inspiring English sources
The class of representations studied in this work is described as follows.
As an illustration of the scope of our results, we highlight that a large class of representations which naturally occur in wavelet theory and time frequency analysis is handled by our scheme.
5.1.3, Lemma 2.9 has the drastic consequence that all (mathfrak {osp} -Casimir elements (I_ell ) are zero in a certain class of representations of (mathfrak {osp} -CasimirV^*)) for (V_0 simelements.
It is however a matter of ongoing debate whether some representations particularly depend on the hippocampus or whether disproportionate impairment of one class of representations with hippocampal damage merely reflects factors related to the experimental design of the studies.
A class of representation is further divided into two representations: primitive and composite.
The client robot describes different classes of representations from RGB-D data (Describing representations of the target).
The knowledge compilation (KC) map [1] can be viewed as a multi-criteria evaluation of a number of target classes of representations for propositional KC.
While, for fixed N, the set of equivalence classes of representations of ON is known not to have a Borel cross section, there are various subclasses of representations which can be classified.
A broad class of group representations are linear representations, i.e. the group is acting on a vector space, such as the three-dimensional Euclidean space R3.
We study a decomposition problem for a class of unitary representations associated with wavelet analysis, wavelet representations, but our framework is wider and has applications to multi-scale expansions arising in dynamical systems theory for non-invertible endomorphisms.
We should embed in our constitution, not two classes of representation but a Commons reform that allows for detailed debate by English members on English-only measures, but with final decisions on all matters taken by all who are elected.
