Sentence examples for numerical range of the from inspiring English sources

We prove an inequality related to polynomial functions of a square matrix, involving the numerical range of the matrix.

This experimental phase was carried out on publicly available face datasets, considering different working strategies (i.e., the balancing/unbalancing of the training dataset and the numerical range of the input measurements).

These numbers ranged from 12 to 98 with the numerical range of the triplets spanning between 4 and 18.

Based on the numerical range of the experimental data, a mapping of various color gradients (e.g. red-yellow-green) is computed by instances of the Color class.

Table 2 lists the modifying factors established for BaP, the numerical range of the factors, and the factors proposed for use in this guideline value development.

The new contributions of this paper are to define the numerical ranges of the dimensionless force factor for the weak, moderate and strong coupling and to study the connections of dimensionless force factor, coupling loss factor, coupling quotient, critical coupling strength, electro-mechanical coupling factor, damping loss factor and modal densities in linear vibration energy harvesting systems.

The numerical range of an operator is the subset of the complex numbers given by [1, page 1]: (1]1].

The numerical range of, known also as the field of values of, is defined as the set of complex numbers given by (1.2).

The key idea in obtaining this result is the fact that the numerical range of such a linear relation is a proper subset of the complex plane.

The third term represents the physical constraint that limits the numerical range of light ray intensities.

Let T be a positive linear contraction on M such that τ○T⩽τ and such that the numerical range of T as an operator on L2(M) is contained in a Stoltz region with vertex 1.