Sentence examples for a small condition from inspiring English sources

Under a small condition on the initial value, we prove the global existence and optimal decay estimate of solutions.

In the supercritical case, they obtained local results in H s, s > ( N − α ) / 2 + 1 and extended to be global under a small condition ∥ θ 0 ∥ H s ≤ c ν, for s > N / 2 + 1, where c is a small fixed constant.

A constituted matrix with a smaller condition number responds better to design targets.

In doing so, the matrix to be inverted has a smaller condition number than that of the conventional LLS approach.

We show that shorter reshaping filters than conventionally used yield a smaller condition number, i.e., a higher robustness against RIR perturbations.

It is shown that shorter reshaping filters than conventionally used yield a smaller condition number, i.e., a higher robustness against RIR perturbations.

Since condition numbers can be thought of as a combined quality measure of orthogonality and length defects, the final output reduced basis from Algorithm 5 is the one with a smaller condition number.

Xu [19, 22] has shown through numerical simulations that arranging the basis vectors in ascending order could improve the quality of reduction in the sense of producing a smaller condition number.

This means that the intuitive choice of given in [6, 13] is a fairly good solution especially for cases when the channel covariance matrix has a relatively small condition number.

A relatively small condition number indicates that the change in direction of the rotational axis during the movement was relatively large, i.e. the amount of conjunct movements is large.

The unperturbed frequencies satisfy a small divisors condition and we explicitly estimate how this condition can be released when the family tends to the unperturbed one.