Sentence examples for matrix elements have from inspiring English sources

The calculated ET matrix elements have been compiled in Table 1.

For comparison we have plotted in Fig. 1 for 3 nm quantum dot both the anisotropic Coulomb matrix elements and isotropic ones V pp (h) versus h, in case the anisotropic matrix elements have their highest possible values.

It is shown that in the disk limit of a general ellipsoid the relevant matrix elements have a well-defined limit, and that the formulation is attractive for numerical calculations.

Still, in practice the PWMs are used along with different normalization strategies [ 14], e.g., commonly used log-odds transformation of counts [ 15], with resultant matrix elements having any real value.

For both metallic and semiconducting nanotubes, it is found that the absorption matrix element has a maximum absolute value at the van Hove singularity (vHS) k point around the Fermi energy for each band.

Gaussian random measurement matrix is the most commonly used measurement matrix, and its elements have enough randomness to satisfy the design requirement of measurement matrix in CS.

The formulations and derivation of the explicit stiffness matrices of the elements have already been proposed and obtained earlier by the authors.

This led to the so-called Sussex matrix elements, which have been widely applied by nuclear structure researchers.

The stiffness matrix and the mass matrix of the structure, whose elements have the initial errors, are unknown except for the fact that they belong to given bounded matrix sets.

The number of statistically significant principal components was assessed using the techniques previously described, as well as matrix randomization tests, in which the probability of attaining an equal or greater magnitude for each eigenvector is assessed by performing PCAs on data matrices in which the elements have been shuffled randomly.

For most matrix elements we had over one-hundred pairs, with the highest number of encountered pairs (∼25%) in layers 5, and 6 (Fig. 4A,D), most likely due to their relatively larger thicknesses, and the larger cell sizes in those layers, making it easier to isolate single neurons in those layers [59], [60].