Sentence examples for obtaining a necessary from inspiring English sources

A further contribution of this paper is obtaining a necessary and sufficient condition in terms of design parameters for local asymptotical stability of the modified ANF.

In particular, we obtain a necessary and sufficient condition for our module to be completely contractive.

Under the complete case, we obtained a necessary and sufficient condition for the reference dictionary to be the unique "sharp" local minimum among all possible dictionaries.

For the stochastic switching topology case, we obtain a necessary and sufficient condition of mean-square couple-group consensus.

We obtain a necessary and sufficient result for stability of compensated scalar linear systems under constant time delay.

Moreover, for some special cases, we can obtain a necessary and sufficient condition on the spectrality of μM,D.

First we obtain a necessary and sufficient condition on the existence of orthogonal multiple vector-valued wavelets by means of paraunitary vector filter bank theory.

We obtain a necessary and sufficient condition for conditional gaugeability and show the equivalence between conditional gaugeability and subcriticality of generalized Schrödinger type operators.

A new approach of water absorption measurement was developed using hydrostatic weighing in order to observe the kinetic absorption of aggregates, and to obtain a necessary water quantity added in different steps in concrete mix.

On one hand, the information theory approach obtains a necessary condition to guarantee the approximate universality property that is, to achieve the high signal-to-noise ratio (SNR) trade-off over any slow fading channel distribution.

We obtain a necessary and sufficient condition on the control parameter such that the up down equilibrium point (at which links 1 and 2 are in the upright and downward positions, respectively) is the only undesired closed-loop equilibrium point.