First, holding population constant is important for measuring how concentrated the hospital industry is – there is a large difference between 500 beds for a population of 5,000 and 500 beds for a population of 50,000.
China allocated about a third of its $580bn recovery plan to green measures, concentrating on energy efficiency.
We present two methods for constructing consistent approximations to Dirac delta measures concentrated on piecewise smooth curves or surfaces.
Assume that a signed measure of subsets of is such that the total variation measure is a discrete measure concentrated in a three-point set and (2.15).
Investments include £30m to be spent over three years on a Green Investment Package of energy efficiency measures, concentrating on domestic property.
If we take m = x ∗ δ t , where δ t is the Dirac measure concentrated in t, then m ∈ M ( [ 0, a 0 ], E ∗ ) and from (12) it follows that 〈 x ∗, u n ( t ) − u ( t ) 〉 → 0 as n → ∞.
We establish a general superposition principle for curves of measures solving a continuity equation on metric spaces without any smooth structure nor underlying measure, representing them as marginals of measures concentrated on the solutions of the associated ODE defined by some algebra of observables.
Theorem 2.2 Suppose that μ is a nonnegative Radon measure concentrated on a Borel set E of zero p-capacity, and that g n is a bounded sequence of nonnegative L 1 functions which converges to μ in the narrow topology of measures.
We derive necessary and sufficient conditions for an infinite sequence of generalized functions to be realizable on S, namely to be the moment sequence of a finite measure concentrated on S. Our approach combines the classical results about the moment problem on nuclear spaces with the techniques recently developed to treat the moment problem on basic semi-algebraic sets of Rd.
That is, its characteristic function takes the form {mathbb {E}}bigl(e^{i u J_{t}}bigr)= t int_{0}^{infty}bigl(e^{iuz}-1bigr) nu dz), (2.1) where ν is the Lévy measure concentrated on ((0,infty)) satisfying int_{0}^{infty}(zwedge1) nu dz) < infty.
