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In most of the cases, a question arises about the contribution of shale matrix system to the fracture system.
As a second approach, the Green function formulation is extended to a block matrix system to determine the localization factors for disordered periodic structures.
The proposed approach allows a pentadiagonal banded matrix system to be split into quasi-disjoint subsystems by using a linear algebraic transformation technique.
In this brief paper, using results from the theory of averaging of bilinear systems, we provide a graph theoretic characterization for the existence of periodic control inputs that stabilize a sparse matrix system to the origin.
Having detailed the Picard-type iteration we use to solve the problems and derived the structure of the matrix system to be solved at each step, we utilize the theory of saddle point systems to develop efficient preconditioned iterative solution techniques for these problems.
We designed a whole-body DWI 1.5 T MR (Siemens, Erlangen) protocol using exclusively a single-shot spin-echo EPI sequence with acquisition parameters detailed in Ref.. Patients were positioned with five sets of integrated phased-array surface coils installed simultaneously (total imaging matrix system) to cover from head to upper thighs for signal reception.
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Cryopreservation is one of the most practical methods for the long-term storage of cell-matrix systems to ensure off-shelf availability in tissue engineering, stem cell therapy and drug testing.
Additionally, dynamic-mechanical analysis have been used to identify the glass transition range of the thermoplastic matrix system and to find correlation to the temperature-dependent mechanical properties.
The initial approach to achieve a robust matrix system is to use an optimal concentration of the rate controlling polymer and obtain consistent gel formation.
After modifying the matrix system (4.9) to incorporate boundary conditions, the solution is obtained as (4.12).
In this paper, the operational times are modeled and introduced into the matrix system model to activate the matrix system functioning.
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