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Remark 4 In view of the nomenclature introduced in this work and the algebraic presentation of the recursive equations of our method, the iterative system of equations (38), (41) and (48) may be presented in vector form as { A k x k + 1 = b k, ∀ k ∈ { 0, 1, …, K − 1 }, x 0 = x 0, (65).
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"Modern browsers also support the SVG format which allows icons to be presented in a scalable vector format – something that is very useful when the retina displays are coming to more devices," he notes.
With the initial conditions for Sin evaluated (i = s,f), one may turn to solving system (41) that can be presented in the following vector form: d S n d t = A S n (52).
It is clear that the range constitutes -dimensional linear space in spanned by the columns of, where, while constitutes -dimensional space of all vectors being orthogonal to any vector in relative to the usual inner product Thus, any vector may be presented in the form (2.3).
The targets are presented in a column vector where ith entry is the target for the ith row in the 2D matrix.
In addition, vectors were presented in orthogonal Cartesian coordinates so projection vectors in spherical coordinates are not known.
The notation of the formulas is as follows: Matrices are presented in bold uppercase (X), vectors in bold lowercase (t), and scalars are given in lowercase italic (a) or uppercase italic in case of the end of a series i = 1... I.
A unique multi-vector chromosome representation is presented in such a way that the first vector represents the destruction size and the probability, which is a DE vector, whereas the second vector simply consists of a job permutation assigned to each individual in the target population.
Both the mean and the mean-square behaviors of the weight error vector are presented in the ensuing analysis.
Table 2 shows the rank position of all the alternatives in Stage 2. The weighting vector is presented in Table 3.
Integration of intermittent renewable energy sources (REs) such as wind and solar into larger scale fossil fueled combined cycle power plant (CCPP) utilizing hydrogen as the energy vector is presented in this study in order to provide the needed load following energy profile and lower emissions.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com