Sentence examples for provide a generalised from inspiring English sources

In Remark 3, we provide a generalised version of inequality (1.8) (cf. Proposition 3) in the measure-theoretic (and probabilistic) form.

We provide a generalised version of the Ostrowski inequality (1.8) (cf. Proposition 3) in the measure-theoretic (and probabilistic) form in Remark 3.

In this section, we provide a generalised version of the Ostrowski inequality (1.8) of Proposition 3, as well as bounds for the discrepancy in Jensen's integral inequality.

This paper will show an S N diagram with two failure types and will provide a generalised method of drawing correct S N curves for every single type of failure.

These emission rates are incorporated with simple meteorological forcing into a box model to provide a generalised urban air pollution model for transportation within any city and validated against published data.

The model results demonstrate the cumulative impact of the different factors affecting the freshwater lens response and recovery to the overwash event for each island type, and provide a generalised assessment of island susceptibility to overwash on a global scale, despite limited data availability for many small islands.

The design model is unified with a recently developed model for tubular columns subjected to transverse impact, providing a generalised solution for the design of metal tubular columns for dynamic loads.

Traversability is identified by predicting the resultant track forces acting on the track terrain interface and the adopted models are modified to provide an analytical generalised solution.

These fundamental relationships provide a set of generalised design guidelines for RSW of aluminium that will have significant relevance to manufacturing communities.

Then we provide a connection between these generalised ("mutational") solutions and distributional solutions to the transport equation.

This provides an effective generalised algorithm for learning [15, 16, 17].