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It assumes that the function (a x,y)) is discontinuous across the interface (Gamma_{i}) while it is continuous away from the interfaces.
In particular, explicit formulas are deduced for functions that are locally Lipschitz continuous away from a given one point singularity x0∈ Ω, i.e., u∈W1,p(Ω;R2)∩W1,∞(Ω ⧹{x0} R2) for some p>1.
(2) There exists a function (K x, y)) continuous away from the diagonal ({(x, y): x=y}) such that biglvert K x,y -K x,z bigrvert +biglvert K(y,y -K x,z bigrvert leq Cfrac{|y-z|^{delta}}{|x-z|^{n+biglvertlta}{alpha}}}, if (2|y-z|^{alpha}leq|x-z|) for some (0
There exists a function (K x, y)) continuous away from the diagonal ({(x, y): x=y}) such that biglvert K x,y -K x,z bigrvert +biglvert K(y,y -K x,z bigrvert leq Cfrac{|y-z|^{delta}}{|x-z|^{n+biglvertlta}{alpha}}}, if (2|y-z|^{alpha}leq|x-z|) for some (0
In 1960, Ikebe [265] used eigenfunction expansions to solve problems (A) and (B) when (nu =3) and V obeys (15.1) near infinity for (alpha >2) and moreover, V is Hölder continuous away from a finite number of points where it is locally (L^2).
Let C Open image in new windowbe a curve parametrised in a neighbourhood of the singular point z(0) = 0 by z(t) = t + ı y(t) with |t| ≤ ε, where y(t) is a continuous function on the interval whose derivative is continuous away from zero in and bounded in this interval.
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If is a continuous function, meaning that its graph is an unbroken curve with no gaps, then is a continuous function away from.
I found the idea that we could move away from continuous growth and still flourish refreshing.
Practically, there seemed little point moving to Continuous Delivery without breaking away from the culture of a fortnightly release cycle.
On the other hand, lipophilic antioxidants are less effective in retarding oxidation in bulk lipids because they disperse in the continuous oil phase far away from the catalytic sites of the micelles while they are effective in protecting o/w emulsions because they orient more at the water-oil interface 33, 39, 61, 169.
The F i 's are absolutely continuous, with continuous densities f i uniformly bounded away from 0 and ∞ at the quantile points ξ i (τ,x i ),i=1,2,….
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com