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These objectives can be represented by a linear combination of reaction fluxes of interest, which results in a linear programming model: max c T · v (1) s.t.
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Using (15) and (16), the objective function can be represented as [13] C sel ( K p m ) = λ p − 1 diag Φ H Φ (19).
Based on the global optimization, the regularized BLT objective function can be represented by a directed graph and then be resolved by graph cuts algorithm in the whole region without source support constraint.
Theorem 2.1: The objective function in (1) can be represented as a Laplacian matrix that preserves the locality among samples.
Since the objective function in (4) can be represented as a Laplacian matrix, the locality of the samples is also preserved in the low-dimensional space.
If the surveillance vector s sur is modelled with respect to the reference vector s ref linearly, the objective function in the LS estimation can be represented as follows: min_{boldsymbol{theta}}parallel{{mathbf{s}}_{text{sur}}-mathbf{H}boldsymbolthetaparallel}, (5).
A second performance index can be represented by an objective fidelity criterion.
Thus, for an M-generator B-bus power system with L branches, the optimization objective for optimizing the controlled islanding schemes can be represented by hbox{min},O = sumlimits_{l = 1}^{L} {left| {(1 - a_{l} )F_{l}^{text{P}} } right|} (14 where (F_{l}^{text{P} }) is the actual active power of transmission line l before islanding; a l is the operating state of transmission line l.
Obviously, the objective error function for a delay-oriented approximation can be represented by (22).
The objective phenomena represented by these successive representations, however, can be represented as either successive or as simultaneous — I represent the positions of the boat as successive, but the parts of the house as simultaneous.
A further objective was to prove, whether the average isotherms can be represented by a single measured isotherms of the composite samples from the area.
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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