Sentence examples for proved instability from inspiring English sources

for (1.6) and demonstrated that there exist at least two roots with positive real parts in the case p τ > π 2. Myshkis, analyzing the roots of the characteristic equation (1.11), proved instability of equation (1.6) for each couple of positive constants p and τ (see [[4], Chapter III, Section 16, pp.105-106]).

In this paper we will prove instability for wider ranges of quadrature formulae than previously considered.

This conclusion is strengthened by results obtained by comparison with the proven instability mutants GK-M298K and GK-S263P [ 59] which clearly showed a lowering of their Δ G of denaturation and impaired refolding after urea denaturation.

Consequently, it has been proved that instabilities and failure may develop before reaching the classic failure limit given by a plasticity limit.

For distributed delays, such instability may be possible, but no analytical method is known up to today proving oscillatory instability.

We prove that instability of pure point spectrum implies absence of uniform localization.

In order to prove the instability of (u M^{m}rightarrow N), we need to consider some special variational vector fields along u.

In order to prove the instability of (u N^{n}rightarrow M^{m}), we need to consider some special variational vector fields along u.

The method of normal forms is used to prove total instability and to calculate limit cycles of a generalized nonlinear system.

Xenografted organoids from the submerged culture system did not metastasize when transduced with the five-gene module; however, metastases were produced when mutations were introduced into a colorectal adenoma line with proven chromosomal instability.

Expectations that the surrender of the March 23 Movement (M23) rebel group in November 2013 would reduce instability proved unwarranted, as other militias moved in to take its place.