Sentence examples for unbounded increase from inspiring English sources

Recent studies have shown that utilizing the elastic stability limit in elastomeric inclusions can lead to a theoretically unbounded increase in macroscopic damping properties.

Then there is an unbounded increasing sequence such that, for all and all.

Now, we introduce the set B = { { t k } : t k ∈ T, t k < t k + 1, k ∈ Z, lim t → ± ∞ = ± ∞ }, which denotes all unbounded increasing sequences of real numbers.

The position estimated by the Kalman filter has an increased accuracy because the filter combines two types of information with complementary properties: reading from INS is short term accurate with an unbounded increasing error, and location estimation based RSSI is characterized by a bounded positioning error.

Suppose that C ϕ maps the closed ball B ¯ ( 0, ( 2 p − 1 + 1 ) ) ⊂ B p, α ∗ into a compact subset of Q ∗ ( p, s ) ; hence, there exists an unbounded increasing subsequence ( n j ) j = 1 ∞ such that the image subsequence ( C ϕ f n j ) j = 1 ∞ converges with respect to the norm.

Both the average connection length and the total connection length are unbounded, increasing functions of the number of spheres.

As a result, the beam deformability was increased as the unbounded length increased at the same applied load.

Biological disturbances may easily lead to unbounded growth of cells.

We have (K= {{t_{k}}in R |t_{k}< t_{k+1}, kin N, lim_{krightarrowpminfty}t_{k}=pminfty }), and we thus denote the set of all sequences that are unbounded and increasing.

Furthermore, there exists the global stable manifold that separates the positive quadrant so that all orbits below this manifold are asymptotic to and all orbits above this manifold are asymptotic to All orbits that start on are attracted to The global stable manifold is the graph of a continuous, unbounded, strictly increasing function.

These proposals, however, do not guarantee a compact model, given that the number of nodes can increase unbounded in a non-stationary environment if not parameterized correctly.