Sentence examples for monotonic way from inspiring English sources

The addition of Cr improves the behavior of the steels under irradiation, but not in a monotonic way.

We list some results when solution ({ x_{n} } ) of (1) tends to the point at infinity in a monotonic way.

In mixing of immiscible fluids, the final steady state drop size distribution, corresponding to a minimum mean drop size, is commonly approached in a monotonic way.

As a consequence of Theorem 2 every bounded solution of (1) approaches either an equilibrium solution or a period-two solution and every unbounded solution is asymptotic to the point at infinity in a monotonic way.

It is also found that the proposed damage rates can be efficiently used as descriptors of the presence of a crack as their magnitude increases faster than the crack size and in a monotonic way.

As a consequence of Theorem 2 every bounded solution of (1) approaches either an equilibrium solution or period-two solution or the singular point on the boundary and every unbounded solution is asymptotic to the point at infinity in a monotonic way; see [11].

To this general notion the current study adds that the effect of finite diffusion on evolution can be surprisingly complex such that the outcome of evolution depends on the intensity of diffusion in a non-monotonic way.

For example, the commonly applied 2Dt model (Table 1 and [ 18]) or the mixture of two Gaussian (Table 1 and [ 19]) lead to a function πA x) tending to the correct asymptotic value (resp. 1/2 and 0) but in non-monotonic ways (Fig. 2).

On the contrary, the exchange current density of counter-ions is a monotonic function of the electrode potential, whereas the capacity of the film/solution interface might depend on the potential in a non-monotone way.

To this purpose, an extensive experimental campaign was conducted with a specific setup allowing to impose prescribed levels of lateral displacement and varying the axial displacement in a monotonic or cyclic way.

In that way, the natural occurrence in Drosophila melanogaster embryos of different networks based on the feedforward loop (FFL) motif for reading morphogen gradients [2], together with the engineering in Escherichia coli of synthetic FFL circuits responding in a non-monotonic manner to a graded signal [5] [7], suggests that this architecture is particularly suitable for pattern formation.