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These matrices determine the weight of individual terms in the objective function.
As before, if we consider a horizontal line that is strictly between the horizontal line that passes through the nodes of rank j and the horizontal line that passes through the nodes of rank (j +1) then these matrices determine the minimal and maximal possible numbers of intersections of this line with branches of subtree i.
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The final argument uses that the bundle of Cartan matrices determines the GRS.
Based on the overall property matrices determined, the equations of motion of the whole vibrating system are defined.
The ordered deposition of calcium carbonate (under the control of organic matrices) determines the texture of biominerals found in a large variety of calcified structures [ 39, 54].
OrthoMCL is based on a generic clustering MCL algorithm (Enright et al., 2002; Van Dongen, 2000), which uses simulation of stochastic flow on the edges of the graph, with Markov matrices determining the transition probabilities among nodes of the graph.
Therefore, the interface bonding strength and the deformability of the matrix determine the quality of such metal matrix composites.
Additionally the mechanical properties of the microenvironment, i.e. the extracellular matrix, determine the nature of the tissue, which also needs to be mimicked in the material.
The principle of development is the following matrix: determine the eigenvectors (Vp) of each criterion for each item is described in equation 1.
Both metal ion and polymeric matrix determine the properties of such copolymers, and it makes it feasible to purposely affect the properties of the final material.
Here, we present a unified framework in which we show that the eigenvalues of the coupling matrix determine the stability of the synchronized state, while the eigenvectors correspond to patterns emerging from desynchronization.
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