Sentence examples for convergence such that from inspiring English sources

The series converges only at (t=0); the series converges for all (tgeq 0); there exists (R>0) (called the radius of convergence) such that (2.1) converges for all (tin (0,R)) and diverges for all (t>R).

Then, the desired position of each driving subsystem is proposed to attain the driven system tracking with the sub-guaranteed cost, which is employed for the generalized coupling error (GCE) design to convert the complicated coupling issue into the GCE convergence, such that the complexity of controller design is extremely simplified.

In the following proof, we use ≍ to denote the almost sure convergence such that a≍b represents (a - b xrightarrow [Mto infty ]{a.s.}0).}0

In [12], the authors presented an approach that relies on cluster center initialization and color quantization allowing faster and more accurate convergence such that it is suitable to segment very large color images.

These findings show neural convergence such that premotor and somatomotor regions traditionally associated with speech production are also engaged during perception.

Secondly, we can design optimal ILC with monotonic convergence and fast convergence speed such that learning transient behavior is reduced.

Furthermore the GMRES solver should be coupled to the Newton convergence criterion such that fewer GMRES iterations are computed.

We are not given the true or but these can be consistently estimated by and so we can expect convergence to such that and, respectively.

With Hessian matrix approximated as H = J T J, a Gauss-Newton step may be added to improve convergence speed such that δ u = ξ H − 1 [ J T Δ ], where ξ is a scalar chosen via a line-search algorithm to further minimize the error functional for each step.

The significant convergence that such analyses provide herein does support roles for genetic variants with these properties in some aspects of individual differences in susceptibility to dependence.

In 2013, Kakavandi [3] introduced the so-called half-space topology such that convergence in this topology is equivalent to Δ-convergence for any sequence in a complete (operatorname {CAT}(0)) space.