The optimum design problem is alternatively formulated with constraint on the lowest eigenvalue of the stability matrix, and the sensitivity formula for the lowest eigenvalue is presented.
Then they can be alternatively formulated as finding the zero point of the operator T x) = F x) + N C (x) where N C ( x ) = { y ∈ C | y, z - x ≤ 0, ∀ z ∈ C } if x ∈ C, ∅ otherwise.
Furthermore, this scheme alternatively formulates the forward problem (which is defined by a closed-form solution) in terms of the depth to the top of the sheet rather than in terms of the depth to its center.
The same concept is alternatively formulated in phase space with the purpose of applying it to the analysis of mixed mode processes.
The output thereof represents the frequency composition of the signal, or alternatively formulated, how much power is presented in the different frequency bands.
However, although chemically more stable, the latter metabolites may, alternatively, be formulated as tetra-hydroxylated constitutional isomers.
Alternatively, one can formulate the reaction rates for both subgraphs independently.
The problem of determining simultaneously the flows of primary products through processors to the market as final products has been formulated alternatively as a transshipment model by King and Logan [10] and as a reduced matrix model by Rhody [11].
Alternatively, quinones were formulated in liposomes as described [33], [34].
Alternatively, this study has been able to synthesise the extant literature to formulate a matrix of dimensions and demarcations that will enable health authorities to assess local health needs and plan an appropriate set of core services accordingly.
Alternatively, CA can be formulated as: EC x Mix = ∑ i = 1 n p i EC x i − 1 (3).
