Sentence examples for measure with compact from inspiring English sources

Letμbe an orthogonal measure with compact support of finite length in Cn.

Let μ be a finite positive Borel measure with compact support K⊆C, and regard L∞ as an algebra of multiplication operators on the Hilbert space L2.

In particular, under mild conditions on a measure with compact support, we show that each possible universality limit is the reproducing kernel of a de Branges space of entire functions that equals a classical Paley Wiener space.

Our convergence analysis also provides a proof for the existence of the global weak solution to the b-equation when the initial data is a nonnegative Radon measure with compact support.

⇒ (v) Suppose that for all f, we have L f = ∫ C T ξ f ( z ) d γ ( z ), where γ is a complex Borel regular measure with compact support.

Then (varphi ) can be written as a sum of a harmonic function and the potential begin{aligned} U^{mu } z)=int _{mathbb C}log |zeta -z|dmu (zeta ), end{aligned}where (mu ) is a positive measure with compact support in (mathbb C) such that (mu =Delta varphi /2pi ) near (z_0).

The fracture resistance curves (R-curves) of BaTiO3 and commercial PZT PIC 151 were measured with compact tension specimens under the influence of an electric field applied parallel to the crack front.

The main results in [62, 63, 64], however, are formulated for the continuity equation or for Radon measures with compact support in ({mathbb R}^d).

The list of recent developments is quite impressive and includes: creation of the theory of non-classical orthogonal polynomials with re­ spect to exponential weights; the theory of orthogonal polynomials with respect to general measures with compact support; the theory of incomplete polynomials and their widespread generalizations, and the theory of multipoint Pade approximation.

We show that in any complete metric space the probability measures μ with compact and connected support are the ones having the property that the optimal transportation distance to any other probability measure ν living on the support of μ is bounded below by a positive function of the L∞ transportation distance between μ and ν.

Presepsin concentration in blood was measured with a compact automated immunoanalyzer, PATHFAST®, based on a chemiluminescent enzyme immunoassay (CLEIA) (Mitsubishi Chemical Medience, Japan) [ 12, 13].