Sentence examples for the corresponding necessary from inspiring English sources

The corresponding necessary and sufficient conditions are: (16).

The robust stabilization problem is also studied and the corresponding necessary and sufficient condition is given using the notation of dual system.

The service of agricultural technological processes in the first line provides their provision with the corresponding necessary and serviceable technical means, both in power generating and technology systems [1,2].

The corresponding necessary numbers of subjects in a study aiming at detecting a 20% exposure difference between two independent groups of equal size were 154, 78, and 68, respectively (p≤0.05, power 0.80).

At the receiver, the corresponding descrambler, necessary to re-obtain the information vector, allows to increase the number of residual errors outgoing Eve's decoder.

After employing the corresponding KKT necessary optimality conditions and simplifying, we have the system of L nonlinear equations below: ∑ j = 1 L − 1 p j ( V ( s j + 1 ) − V ( s j ) ) + p L ( 1 − V ( s L ) + V ( s 1 ) ) = P av, p j − 1 = p j V ( s j + 1 ) − V ( s j ) f ( s j ) + 1, j = 2, …, L − 1 p L − 1 = p L 1 − V ( s L ) + V ( s 1 ) f ( s L ) + 1. (50).

In this work, we have provided a framework in which the large eigenvalues and the corresponding eigenvectors necessary for differentiating the population structure are theoretically connected to the variance-covariance parameters of the random vector of the allele frequencies of the populations.

The end result is a full set of optimal GSTA parameters, both dimensional and non-dimensional, as well as the corresponding thermodynamic parameters necessary to predict the behavior of the system at temperatures for which data were not available.

To demonstrate the approach, the paper gives a detailed analysis, the corresponding sufficient and necessary conditions as well as stable regions in parameter space of concern for the delay-independent stability of a vibrating system with time delays in state feedback, an active-tendon for a tall structure and an active suspension of a quarter car model.

In the no-mask condition, the corresponding minimal values necessary for optimal adaptation are 15 ms and 50 ms. To sum up, the temporal integration of post-saccadic visual information for eliciting saccadic adaptation depends both on the type of saccades and on the presence of a visual mask.

Additional information was sought the corresponding authors if necessary.