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.
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.
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 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".
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).
Their first trick is now to replace the original fibration by the pull back via a map (varphi : B' rightarrow B) which is ramified at each critical value t of multiplicity N. In this way they obtain a surface (X') which is singular, with singular points q of type (A_{N-1}), i.e., with local equation (z^N = xy).
It should be noted that Hitchcock and Alma enjoyed a 54-year-old marriage which was singular and unusual in Hollywood.
