Sentence examples for of sufficient dimension from inspiring English sources

First, the court said, the 1990 law lacked an adequate legislative record showing that discrimination by the states themselves, as opposed to society in general, against people with disabilities was a problem of sufficient dimension to justify Congressional intervention.

However, the idea of sufficient dimension reduction is to attain a sufficient subspace, which includes all of the information we need.

38 Absent randomised trials of sufficient dimensions, we must be guided by observational data for hypnotics, as we have been guided by similar data for cigarettes.

Therefore the new class of in situ moldable and self-hardening biomaterials used in this study seems to be highly suitable in minimal invasive guided bone regeneration to achieve reproducible good results providing a sufficient and (bio mechanical highly stable dental implant site of sufficient dimensions.

The cut-away views of the density maps shown in Figure 6(A) effectively rule out a mechanism of this type for TtPilF: it is unlikely that there is a complete open channel through the central symmetry axis of sufficient dimensions to allow the passage of a DNA fibre, even once allowance has been made for the resolution of the cryoelectron microscopy reconstructions.

Combining the notions of dimension reduction and sufficiency, sufficient dimension reduction [11, 15, 23] is used to detect a lower dimension subspace of the predictor space, such that the response variable is independent with the predictor vectors providing all the information of this subspace.

For each of the sufficient dimension reduction procedures, testing is done to determine the dimensions.

Based on these tests, the dimensions selected for each of the sufficient dimension reduction procedures are summarized in Table 3.

There are asymptotic results for determining the number of dimensions in sufficient dimension reduction.

Table 3 Dimensions chosen by the marginal tests for each of the five sufficient dimension reduction methods Method (Y_1) (Y_2) (Y_3) SIR 5 6 3 Partial SIR 12 12 11 SAVE 15 14 15 yPHD 14 15 14 rPHD 12 12 12.

However, there is currently a limited selection of software for performing sufficient dimension reduction techniques.