Sentence examples for principal angles from inspiring English sources
This assumption is known as the Equal Principal Angles assumption (EPAs), or Wagner's hypothesis.
Such singular values have a strong relationship to the cosines of principal angles in matrix perturbation theory.
Both methods use the criteria of principal angles between subspaces spanned between the previous and current prolongation operators.
We show on synthetic data that our method performs well in the traditionally challenging settings of subspaces with large intersection, subspaces with small principal angles, and noisy data.
Geometric characterization of global sensitivity spaces through their dimensions and relative positions by the principal angles between global search subspaces bring a first set of information on the impact of uncertainties on the functioning parameters on the optimal solution.
Two mathematical concepts are used to characterize the geometry of these spaces and to identify possible impacts of variability in data or changes in the models or solution procedures: the dimension of the maximal free generator subspace in vector spaces and the principal angles between subspaces.
It enables the measurement of not only the phase retardation but also the principal angle.
The nucleation and steady state growth of InN is probed with sub-monolayer resolution by principal angle reflectance (PAR) spectroscopy.
The distribution rule of solid material and the relationship between the minimum compliance of optimal structures and the principal angle of composite layups are discussed.
These signatures were processed by the Characteristic Direction method14 to identify differentially expressed genes, and then up- and down-regulated gene sets were analyzed with Enrichr6,7, L1000CDS29, Principal Angle Enrichment Analysis (PAEA 15, and GeneMANIA5.
Experimental results on real-time data have shown that the developed technique can achieve excellent results in measuring starting time and principal angle and good results for the angular width and velocity measurement compared to the CMEs listed in the manually assembled catalog.
