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By global continuity of f with respect to ( v p ) p, in correspondence with p ∈ N and x ∈ X there is a neighborhood U x of x with ρ ( f ( z ), f ( x ) ) ≤ v p whenever z ∈ U x.
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This work shows a design procedure which guarantees automatically the global continuity of the law of displacement.
From Propositions 3.5, 3.13 and (13) we get global continuity of f.
The coupling between surface flow, infiltration and evaporation is achieved by incorporating the infiltration and evaporation fluxes into the global continuity equation of the spilled oil.
Last, we prove the global Hölder continuity of solutions provided that their restrictions on boundary are Hölder continuous.
BY continuity of T, (Tx_{n}to Tz) as (ntoinfty).
By the continuity of g, we have G is continuous.
The continuity of the sculpted object is governed by the continuity of the trivariates.
By the continuity of, we have (3.12).
By the continuity of and, we have.
By the continuity of, we know that.
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CEO of Professional Science Editing for Scientists @ prosciediting.com