Sentence examples for in larger dimensional from inspiring English sources

All analyses that involved multiple axes determined whether the alignments of planes (when only 2 PC axes were examined) or multi-dimensional hyperplanes ("flat" surfaces of >2 dimensions embedded in larger dimensional spaces) were significantly different.

All analyses that involved multiple axes determined whether the alignments of planes (when only two RW axes were examined) or multi-dimensional hyperplanes ("flat" surfaces of more than two dimensions embedded in larger dimensional spaces) were significantly different between two populations (e.g., F2 vs. LF/TRC).

In large dimensional space, there are large numbers of directions to point, so you would seem to need quite a lot of arms and legs.

The flow in transonic conditions exhibits strong nonlinearities which require accurate physical modeling techniques, in turn resulting in large dimensional systems that are computationally costly to solve.

A major consequence of using massive MIMO is the so-called channel hardening effect [38] resulting from the fact that Gaussian vectors randomly selected in large dimensional space are, with high probability, nearly orthogonal.

The present work considers a model reduction approach for fault diagnosis with generalised likelihood ratio (GLR) method to improve upon its diagnostic performance and computational efficiency in large dimensional applications.

MGD is not a projection method and all the information pertinent to classification is stored in large dimensional mean vectors and covariance matrices corresponding to each class.

MCMC techniques are used to sample from distributions and more generally to solve optimisation and integration problems in large dimensional spaces (Andrieu et al. [ 8]).

The usefulness of the proposed adaptive Kriging surrogate model in terms of accuracy and efficiency for reliability assessment of engineering structural systems is shown in the paper with two relevant numerical examples, involving a highly nonlinear analytical limit state function in two-dimensions and an advanced nonlinear finite element analysis structural model in a larger dimensional space.

It is found that hydrogen in larger three-dimensional vacancy-clusters change the annihilation characteristics drastically.

It was found that hydrogen and helium in larger three-dimensional vacancy clusters change the annihilation characteristics dramatically.