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It would be also interesting to study the SPLIT CLUSTER DELETION problem in which only edge deletions are allowed to transform the input graph into a split cluster graph.
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The transformation method allows to transform the mixed optimization problem into the continuous one.
The graph obtained is completed by the addition of a source and a sink node allowing to transform the optimization program to a problem of maximum flow over the graph.
This mechanical configuration allows to transform the underactuated system into a nonlinear system that is referred to as the normal form, whose control design techniques for stabilization are well known.
In order to use a classical result of Vitanza (see, Theorem 2.1 in [13]) it is necessary to make an appropriate change of variables which allows to transform the operator L ˜ into a differential operator L ˜ ∗ whose lower order coefficients, in particular, belonging to Lebesgue spaces and their moduli of continuity can be estimated by moduli of continuity of the corresponding coefficients of L ˜.
The regression line between the dk parameter and the 5′/3′-intensity ratio of the controls allows to transform the quality threshold of the latter ratio into a dk threshold.
However, in experiments aimed at determining fractionation factors, only a small fraction of the reactant is typically allowed to transform to the product to avoid isotope distillation.
A national hero, Abdul Qadeer Khan, who had masterminded the building of his country's atomic bomb, was allowed to transform himself into the largest and most sophisticated exporter of bomb-making designs and equipment.
The conversion of linear into angular motion and the suitable control of an integrated electric machine allow to transform part of the vibrational energy into electricity.
It allows to transform SOA design patterns modeled with the semi-formal SoaML language and linked together with composition operators to a compound pattern.
In this paper, we describe in detail the procedure allowing to transform a large-scale time-delay system into a standard linear system of small dimension and show how the H2 norm of the resulting system is an accurate approximation for the H2 norm of the original time-delay system.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com