Sentence examples for index matrices from inspiring English sources
The index matrices and their simplified forms of the multivariable Adomian polynomials are introduced.
We obtain the recurrence relations for the simplified index matrices, which provide a convenient algorithm for rapid generation of the multivariable Adomian polynomials.
GaAs surfaces have been utilized as high index matrices to lower the metallic localized surface resonance frequencies to near-infrared for telecommunication applications [13, 14].
Therefore, the coherency of generators could be identified by the elements of the synthesized similarity index matrix I Coherency.
The bond order of octadecane ion was obtained on the basis of Wiberg bond index matrix in the NAO basis.
In addition, using the same index mapping in Table1, we obtain the index matrix I 4 as follows I 4 = 0 0 0 0 0 1 0 1 0 0 1 1 0 1 1 0, (29).
To link and quantify profits and costs, we proposed an "index of ecological two-sidedness" as the Ratio of CC to CP (i.e., RCC/CP), whose values can be combined using some modern mathematical methodologies, where the RCC/CP index matrix, WCC/CP, is defined as the index optimization matrix of CC divided by the index optimization matrix of CP.
To develop an eco-engineering assessment system based on these parameters, we used a matrix of the ratios of comprehensive cost to comprehensive profit (RCC/CP), where the RCC/CP index matrix WCC/CP is defined as the index optimization matrix of CC divided by the index optimization matrix of CP.
The proposed criterion function, known as a separability index matrix (SIM), provides features pertinent to the classification task and a very low computational cost.
As a result, the refractive index matrix of anisotropic KDP crystal used in this work was ( left[begin{array}{ccc}1.53& 0& 0 0& 1.53& 0 0& 0& 1.49end{array}right] ) [21 23].
It will describe the state of both the electromagnetic field and the quantum metamaterial, characterized by a nondiagonal, nonlocal, state- and position-dependent 'refractive index' matrix.
