Sentence examples for hierarchy obtained from inspiring English sources

The hierarchy obtained in this way is called the iterative hierarchy.

The hierarchy obtained is called the cumulative hierarchy.

Each column in Figure 11 represents the lowest energy consumption values of the hierarchy obtained for a given mechanism.

The new hierarchy obtained after the inference process is presented in Fig. 12, where one can observe that QoSSpecMOSG711CoSA is an individual of the class Client1, and therefore, CoSA meets the quality requested by the client.

The ((1+1))-dimensional discrete integrable hierarchy obtained in the paper can be reduced to a new ((1+1))-dimensional integrable nonlinear difference system with three-potential functions, and the ((2+1))-dimensional discrete integrable hierarchy presented in the paper is obtained by a non-isospectral Lax pair based on the loop algebra and a zero-curvature equation.

In this section we could have discussed the discrete integrable couplings of the ((2+1))-dimensional positive and negative integrable discrete hierarchy obtained in the paper; however, for the sake of simpler computations, we only want to investigate discrete nonlinear integrable couplings of the positive part of equation (35).

Finally, apply the trace identity frac{delta}{delta u}operatorname{tr}biggl(Wfrac{partial U_{n}}{partiallambda }biggr)= lambda^{-gamma}frac{partial}{partiallambda}lambda^{gamma}operatorname{tr}(WU_{u_{i}}),quad i=1,2,ldots, p, to deduce the Hamiltonian structure of the discrete integrable hierarchies obtained by the discrete zero curvature equations.

The bias to this sub-hierarchy is evident as the Disorder sub-hierarchy obtains the best results.

The priority of a given alternative with respect to meeting an objective at the next level up in the hierarchy is obtained by summing the products of the alternative weight and each objective weight at the level below in the hierarchy.

The total energy consumption of the memory hierarchy was obtained for each optimization mechanism.

By making use of Tu scheme, the multi-component WKI hierarchy is obtained.