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For an exposition of the integral operators with scalar-valued kernels see [1] and for the application of multiplier theorems see [2].
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Application of the Lagrange multiplier technique gives the new function: ∑ i = 1 N α i ∑ j = 1 r log 2 ( 1 + λ i j P i j ) - μ ∑ i = 1 N ∑ j = 1 r P i j Ω i j BS ∕ An - P maxBS/An (23).
The modelling approach to the direct (project investment cost), indirect (based on application of Type 1 multipliers) and induced (based on application of Type 2 multipliers) contributions to GDP are outlined in detail in Section The financial model developed.
An application of power-aware multipliers on FIR design is also included.
We calculate biomass demand on basis of national renewable energy projections [ 76] with the application of conversion efficiency multipliers based on [ 5, 77] and the assumption that 11% of European electricity generation is based on co-generation of heat and electricity [ 78].
Percentages were also employed to characterize the number of patients with an indication for lipid-lowering therapy after application of the EULAR recommended multiplier.
Indication for and receipt of therapy were then assessed before and after the application of the European Union League Against Rheumatism EULARrecommendedded multiplier to the Framingham risk score.
These eigenvalues are used in Part II [1] for response analysis of the complete system and the eigenvalues of the complete system will be obtained by the application of Lagrange equations and multipliers.
We provide an application for the completely isometric isomorphism problem of multiplier algebras of noncommutative complete Pick spaces.
The financial model developed is complex in nature involving the application of a range of national multiplier and wage data across a wide range of industry sectors for a number of different countries.
The results for the complete system are obtained by application of Lagrange equations and Lagrange multipliers.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com