Sentence examples for metric setting from inspiring English sources

Firstly, we adopt several well-known metrical notions to order-theoretic metric setting.

We extend the recent L1 uncertainty inequalities obtained in [13] to the metric setting.

This paper proposes a novel metric setting to measure two important aspects of information diversity, information coverage and information redundancy.

Our approach yields a metric space of "isometric" unital complete order isomorphism classes of metrized operator systems which in many cases exhibits the same convergence properties as those in the quantum metric setting, as for example in Rieffel's approximation of the sphere by matrix algebras using Berezin quantization.

The central fixed point result in the metric setting for such mappings is the following theorem.

This alternative criterion represents what is usually considered in mutational equations in the (purely) metric setting (see [10, 11, 51]).

In the evaluation, ten metric sets with four metrics in the set were used to calculate ten different quality indexes that were then evaluated on 25 projects.

Another metric set used in texture analysis is Minkowski functionals, a family of statistical metrics able to characterise n-dimensional space geometrically and topologically (Arns et al., 2010).

The results indicate that six metric sets are interchangeable, making the calculation of the QI easy.

The quality index (QI) that is used to calculate acknowledged project effort is empirically evaluated in order to find interchangeable metric sets that can be used when calculating QI.

To help restoration planners and practitioners develop the most useful and informative design and monitoring programs, we propose the use of multi-criteria decision analysis (MCDA) methods, broadly defined, to select optimal ecosystem restoration metric sets.