The immense complexity associated with the task of finding the scrambling matrix ensures the effectiveness of encryption.
The successful analysis of a biologically active tissue with high lipid content as a matrix ensures the robustness and wide applicability of the developed methodologies.
Thus, although condition of Proposition 5 is less easy to check than the one corresponding to the existence of the GNE, from (66) it can be inferred that whenever the ratio between each direct and interference channel is small, matrix V is likely to satisfy the diagonal dominance property and thus to be a P-matrix, ensuring the uniqueness of the GNE.
A pronounced influence of temperature on the reaction kinetics was manifested in the diminution of charge transfer resistance and activation energy of the ethanol oxidation with Pd incorporation into the Pt matrix, ensuring greater tolerance of the alloyed catalyst towards ethanolic residues.
The design technique relies on the replacement of the output matrix of the controlled system with an equally dimensioned matrix ensuring H2-optimality in the standard disturbance decoupling problem, while maintaining the relative degree and the steady-state gain of the original system.
Co-polymerization allows fixing lignin inside polymer matrix ensuring high stability of the resulting material.
Equation (3) is a simple distance accumulation operation with the transition matrix ensuring that transitions between states can only occur if that transition was seen in the original dataset.
As initial probabilities, Eq. (7) uses the approximations for all states x ∈ W j. The diagonal matrix ensures that the probability mass located in W j -1\ W j is ignored during the computation, that is, only elements of the intersection W j -1 ∩ W j can have nonzero entries in the vector D j.
Affinity chromatography is an extremely versatile method for characterizing interactions between dissimilar reactants because the biospecificity incorporated into the design of the affinity matrix ensures applicability of the method regardless of the relative sizes of the two reacting solutes.
This is done by shifting the integration point locations when computing the entries of the mass matrix, while ensuring the mass conservation.
The results showed that all produced batches were homogeneous and both freeze-drying and spray drying techniques were suitable for matrix dehydrating, ensuring the material stability.
