In the Methods section, we evaluate its use as an exploration method within nested sampling, showing that a single slice sampling step applied in each dimension is sufficient to obtain correct results in up to 30 dimensions using n=25 active points.
We say that a dimension reduction is sufficient if the distribution of (Y|mathcal {R}(mathbf X )) is the same as that for (Y|mathbf X, ) which is the original conditional distribution of interest in regression models.
With the more sensitive and accurate MT-PCR-HRM technique, a two-dimension pooling strategy is sufficient.
Having recognised the significant limitations of morphological imaging in assessing therapeutic response, the demonstration that an early FDG reduction correlates well with subsequent reduction in tumour dimensions is not sufficient to validate PET as a therapeutic monitoring tool.
In addition, unless there is sufficient spinal dimensions data available to make a statistical analysis and conclude that the real situation of most of the human spine is symmetric with respect to the sagittal plane of the spine, the tiny asymmetries about the sagittal plane of the spine can not be avoided in the model construction.
Neurite outgrowth starts at approx. E11 E12 (embryonic days 11 12) leaving 8 9 days until birth for outgrowth to proceed, allowing release-deficient neurons to attain a length of 5 10 mm which, given the dimensions of mouse neonatal brain, is sufficient to form long-distance connections.
When the dimension (N) of the phone variation subspace is larger than the feature dimension D and the adaptation data is sufficient, the columns of the eigenphone matrix V form an over-complete dictionary.
Accordingly, a new question naturally arises: How many dimensions will be sufficient to carry the information contained in the cascade data?
This means that for these dimensions there was sufficient evidence in these cycles to state, with a confidence of 95%, that organisations which do have external recognition were rated more highly by their employees than those which do not.
Instead, based on earlier studies with poly-Arg peptides and heparin-binding foldamers, we expected that the creation of a positively charged patch of appropriate dimensions would be sufficient to bind the pentasaccharide.
