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The subject is "economic impact," which is singular, so it "has" been extreme, not have.
In a discussion group, one visitor argued that Mr. Hansard "was talking to the academy, which is singular".
I admit that I don't spend much time pondering a future when I won't be able to tell human from android (does watching "Battlestar Galactica" count?), but I do spend plenty of time pondering our present techno-reality, which is singular enough for me.
The equation given in (1.1) is taken into account by the condition defined at zero which is singular.
to have a positive weak solution in Ω with u = 0 on ∂Ω, which is singular at each x i as the parameters ρ, λ > 0 tend to 0 and where f u) is dominated exponential nonlinearities functions.
μsing, where μsing is the part of μ which is singular with respect to Lebesgue measure and F denotes a Borel transform, namely, Ffμ z)=∫(x−z)−1f(x) dμ(x) and Fμ z)=∫(x−z)−1dμ(x).
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Popper answers that scientific laws are always taken in conjunction with statements outlining the 'initial conditions' of the system under investigation; these latter, which are singular existential statements, do, when combined with the scientific law, yield hard and fast implications.
We construct positive weak solutions of the problem Δu+up="0 in Ω, which vanish in a suitable trace sense on ∂Ω, but which are singular at prescribed isolated points if p is equal or slightly above N+1N−1.
The method relies on a standard Nyström method for discretizing integral operators and it does not require analytic properties of the electromagnetic field (which are singular) at the corners.
We also consider another class of kernels which are singular at some point t 0 > 0. We assume that h ( t ) = ∑ k = 0 K h k δ ( k ) ( t - t 0 ), h k = h ¯ k, h K ≠ 0, (1.7)where δ is the Dirac delta function.
Similar constructions are carried out for solutions which are singular at any given embedded submanifold of ∂Ω of dimension k∈[0,N−2], if p equals or it is slightly above N−k+1N−k−1, and even on countable families of these objects, dense on a given closed set.
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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