Sentence examples for dependent operator from inspiring English sources

The following lemma presents a general result on the differentiability with respect to parameter of the fixed point of a parameter dependent operator.

In [1] it is introduced an interesting linearization property for parameter dependent operators in Banach spaces.

The Young's modulus of the viscoelastic beam is the time-dependent operator, which is defined either via the Kelvin Voigt fractional derivative model or via the standard linear solid fractional derivative model.

Each time-dependent operator refers to such timestamp during evaluation.

In the present study, we study the discretisation in time of problem (1) with time-dependent operator A in a general setting.

We indicate how the concept generalizes to parameter-dependent operators.

The results show promise for EAs applying knowledge-dependent operators with an adaptive operator selection strategy and reveal some limitations of methods that adaptively apply knowledge-dependent constraints.

While both knowledge-dependent operators and knowledge-dependent constraints have shown promise in improving the search performance of an EA, there are no known experiments comparing their efficacy.

All state-dependent operators are uniformly parametrized within the physical space of the problem (pressure-composition intervals).

To address the lack of such comparative experiments, this paper benchmarks one EA using knowledge-dependent operators and two EAs using knowledge-dependent constraints against an analogous knowledge-independent EA on a design problem for a climate-monitoring satellite system.

While the |π〉 base keeps the phenomenology of the overlap between neighboring atomic orbitals, the |π0〉 base allows the construction of diagonal matrices of position-dependent operators.