Sentence examples for be extended by continuity from inspiring English sources

The u can be extended by continuity to the entire interval [ c, d ], and thus we obtain a function u that satisfies the Lipschitz condition.

Immunity was extended by legislation in 2008.

The validity of rail safety authorisations would be extended to ensure the continuity of rail services between the UK and the EU, provided the UK does the same.

This work proposes how the continuity equation approach can be extended to multiple dimensions in the phase space defined by the relevant orbital parameters.

Brett added that existing contracts with those organisations currently operating as neighbourhood networks have been extended and that continuity of service will not be affected.

Here, the function (u^{-1} cdot phi (rho, 0, -{mathcal C} cdot u^{rho })) is extended at zero as u ↓0 by continuity, where ({mathcal C} in mathbf {R}_^{1}) is a constant.

Ideas from numerical variational analysis are extended to define and explore notions of continuity and differentiability of multiset-mappings, and prove a fixed-point theorem for iteration mappings.

The continuity has been extended in several directions and has been applied to problems in different fields.

To create continuity, the Murrow dialogue was extended into the "Tootsie" clip, at muffled volume.

Parkour is extended acrobatic movement on the fly, and, as something to watch, it gains enormously from continuity.

To ensure continuity, the dataset analyzed by Procópio et al. [31], comprising SBBD's first 25 years, was extended with data from the remaining 5 years (2011 2015) as collected from BDBComp1, the Brazilian Digital Library of Computing [15].