Sentence examples for generalized compatibility from inspiring English sources
Thus the pair { F, G } satisfies the generalized compatibility.
Now, we prove that the pair { F, G } satisfies the generalized compatibility hypothesis.
Now, we prove that the pair { F, H } satisfies the generalized compatibility hypothesis.
In this paper, we introduce the notion of generalized compatibility of a pair { F, G }, of mappings F, G : X × X → X.
Since the pair { F, G } satisfies the generalized compatibility, from (3.20), we get lim n → + ∞ d ( F ( G ( x n, y n ), G ( y n, x n ) ), G ( F ( x n, y n ), F ( y n, x n ) ) ) = 0 (3.21).
In this work, we introduce the concept of ( H, F ) -closed set and the notion of generalized compatibility of a pair { F, H } of mapping F, H : X × X → X in the setting of G-metric spaces.
This method accounts for the compatibility of generalized displacements and generalized stresses on the interface between the plate and patches, and the transverse shear deformation and the rotary inertia of the plate and patches are also considered in the global algebraic equation system.
The techniques accounts for the compatibility of generalized displacements and generalized stresses on the interface both the elastic layers and piezoelectric layers, and the transverse shear deformation and the rotary inertia of laminate are also considered in the global algebraic equation of structure.
By the help of the generalized Hadamard Thomas conditions of compatibility, the velocities of four types of transient waves are found from the set of dynamic Cosserat equations, and the recurrent equations have been obtained which allow one to determine the discontinuities in the desired values and discontinuities in the arbitrary order time-derivatives of these values on each of four waves.
Further, Jungck [3] introduced more generalized commutativity, the so-called compatibility, which is more general than weak commutativity.
Nevertheless, there are few quantitative and automated approaches for mapping generalized tracks (e.g. Craw's compatibility track analysis [18], [23]) with software implementations.
