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The book describes the solution of one barely+manageable problem after another -- the initial budget deal, the Mexican crisis, avoiding a government shutdown over+the debt ceiling, the Asian financial crisis, the insolvency of the giant Long-Term Capital Management hedge fund.
The mathematical appendix describes the solution of this model.
Since (17) describes the solution of a least-squares problem, ( hat {mathbf {R}}^{-1}(n)) can be replaced by the Moore-Penrose pseudoinverse, if ( hat {mathbf {R}}(n)) is not invertible [17].
For all measurements we have used three form of protein preparations as 'free HSA' not complexed with toxin; 'normal condition' describes the solution of HSA complexed with minimal craetinine concentration and 'uHSA' describes the term used for the protein/toxin complex responsible for maximal uremic conditions.
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Subsequently, setting all the equations from (7) to (10) equal to 0 describes the solution to the achievement of the steady state12.
Figures 3, 4, 5, 6 described the solution of u 3, u 4, u 6 and u 8 respectively.
In Section 2, we present the most important properties of the Weyl matrix and briefly describe the solution of Inverse problem 1 given in [19].
Compiler is software that facilitates programmers to describe the solution of their problems at an abstraction level and then translates that abstraction into machine-readable form [5].
The simulations performed for different values of the external input current parameter and one of the parameters controlling the noise allowed us to show that the spatio-temporal shape of the probability density function describing the solution of the McKean-Vlasov-Fokker-Planck equation was sensitive to the variations of these parameters, as shown in Figures 8 and 9.
This work describes the solution behavior of a paradigmatic DP with the chemical structure shown in Fig. 1, named PG4, where every repeat unit of the poly methacrylate) backbone carries one dendron of the fourth generation.
Let U be a strongly continuous propagator, i.e., a family of operators describing the solutions of a non-autonomous evolution equation, on an Lp-space, and assume that U is positive and satisfies Gaussian upper and lower bounds.
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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