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Today, that kind of sentiment is quite vanished outside Ulster, and there will be no vehement demonstrations against Rome's latest illustrious convert.
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Since (u-u_{0}) vanishes outside Ω, we have (mathbf{R}^{n}setminusOmega subset{u-u_{0}=0}).
Suppose that λ ( x ) ∈ C ( R 2 ) vanishes outside D, and let us introduce an auxiliary function u ( x, φ ) = ∫ γ ( x, φ ) λ d σ, (1).
Let Ω ⊆ R d be an open, bounded, strictly star-shaped and symmetric set, and assume that ϵ > 0 and f is a continuous, positive definite function which vanishes outside Ω (i.e. supp f ⊆ Ω ¯ ).
E ⋐ F means that Ē is a compact subset of F. C is the set of all continuous functions u : Ω → ℝ. spt u is the smallest closed set such that u vanishes outside spt u.
Another company posted a video online that shows patients suddenly vanishing outside a medical office because they cannot afford treatment.
How beautiful a street is in winter!" The shell of home is a prison of sorts, as much as a protection, a casing of familiarity and continuity that can vanish outside.
Obviously, S does not vanish outside the rectangle Ω.
The splines ϕ m (x) and their two principle derivatives vanish outside the interval [xm−2,xm+2].
(b) Equation (1.3) holds for all infinitely differentiable functions vanishing outside a bounded set. .
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CEO of Professional Science Editing for Scientists @ prosciediting.com