Sentence examples for solution implies that from inspiring English sources

A suboptimal solution implies that more resources than really needed will be deployed.

As we discussed above, the absence of a trivial solution implies that all solutions will be strictly monotonic.

The nonnegativity of the model's solution implies that (limsup_{trightarrowinfty }s ( t ) leq M_{1}), where (M_{1}=frac{b}{bar{b} }).

Second, the non-degeneracy of the radial solution implies that any eigenvalue of (bar{L}^{1}_{u}) cannot be equal to zero.

A proportional relationship between the coupled diffusion coefficient and the proton concentration in solution implies that homogeneous electron transfer in the film is accompanied with proton transfer from the reduced sites to the oxidized sites of the polymer.

First, notice that if x is a solution of (4) then p(·,x ∈. Hence the definition of lower solution implies that for all t ∈ I- we have α ( t ) ≤ Λ ( p ( ⋅, x + k ( t ) = x ( t ).

We have also shown that DNA-bound FNR reacts more rapidly with O2 than FNR free in solution, implying that transcriptionally active FNR is the preferred target for reaction with O2.

Nauru is but one in a line of "solutions" engineered by Australia to address the issue of irregular migration ("solution" implying that people fleeing is a novel problem rather than a millennia-old human activity, and a domestic issue at that, one that can be fixed with a simple, single fix).

The HER kinetics were also found to be the highest in a pH 11 solution, implying that conditions which favour Mg(OH 2 precipitation enhance the HER.

ΔE0′ between the micellar-hybridized DBC gel and non-hybridized gel was much larger than that between the micellar solution and aqueous solution, implying that the alteration of hydrophobicity of microdomains in hybrid system.

It is of interest to note that there is a negative dependence on temperature in the temperature range from 400 to 500°C in the same solution, implying that there is a retrograde solubility of the Re ReO2 buffer assemblage.