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A simple economic objective function is stated and used on eight different cases with varying constraints.
Let us consider an example of the two-pole channel model where the transfer function is stated as follows: H ( z ) = 1 - 0.5 z - 1 ( 1 - 0.8 e j π / 2 z - 1 ) ( 1 - 0.8 e - j π / 2 z - 1 ).
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In order to solve this problem, initially, random overall coverage was used to establish warehouses, and the objective function was stated to minimize the logistic costs and the number of warehouses which can be established.
The equivalence between these two objective functions is stated and proved as Theorem 1.
The most cardinal and classical inequality for convex functions is stated in the following.
These functions are stated as follows.
Constraints for this objective function, as well as for other objective functions are stated in the following.
To make the proofs as self-contained as possible, some notations of Orlicz spaces and superquadratic functions are stated in Section 2 and we also present some preliminaries.
The characterization and a few properties, in the spirit of Theorem 2 and Proposition 1, of partial metric aggregation functions were stated without proof in [17] and they will be detailed in Section 2.
Figure 6 shows the first three 'bands' of the HSH, i.e. l=0..2, and the first 16 functions are stated explicitly in Equation 22. Figure 6 Visualization of the first three bands of hemispherical harmonics.
Putative functions are stated in lowercase.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com