A fundamental problem in any communication system is: given a communication channel between a transmitter and a receiver, how many “independent” signals can be exchanged between them? Arbitrary communication channels that can be described by linear compact channel operators mapping between normed spaces are examined in this paper. The (well-known) notions of degrees of freedom at level ǫ and es...

OBJECTIVE The objective of this study is to identify points of agreement and disagreements among general practitioners (GPs) in Denmark concerning how the existential dimension is understood, and when and how it is integrated in the GP-patient encounter. DESIGN A qualitative methodology with semi-structured focus group interviews was employed. SETTING General practice setting in Denmark. ...

This study is concerned with the identification and analysis of dimensions of communication in dialogue, with the aim to provide theoretical and empirical arguments for chosing the dimensions in the ISO standard for dialogue act annotation 24617-2 “Semantic annotation framework, Part 2: Dialogue acts”. A ‘dimension’ in this context is a cluster of semantically related communicative functions wh...

Let Ω be a bounded simply connected domain in the complex plane, C. Let N be a neighborhood of ∂Ω, let p be fixed, 1 < p < ∞, and let û be a positive weak solution to the p Laplace equation in Ω ∩N. Assume that û has zero boundary values on ∂Ω in the Sobolev sense and extend û to N \ Ω by putting û ≡ 0 on N \ Ω. Then there exists a positive finite Borel measure μ̂ on C with support contained in ...

Device-to-device (D2D) communications is expected to become an integral part of the future 5G cellular systems. The connectivity performance of D2D sessions is heavily affected by the dynamic changes in the signal-to-interference ratio (SIR) caused by random movement of communicating pairs over a certain bounded area of interest. In this paper, taking into account the recent findings on the mov...

In this paper, we discuss recent progress on the existence of canonical metrics on manifolds in dimensions 3 and 4, and the structure of moduli spaces of such metrics. The existence of a “best possible” metric on a given closed manifold is a classical question in Riemannian geometry, attributed variously to H. Hopf and R. Thom, see [22] for an interesting perspective. A good deal of motivation ...

We study the maximum possible sign rank of N×N sign matrices with a given VC dimension d. For d = 1, this maximum is 3. For d = 2, this maximum is Θ̃(N1/2). Similar (slightly less accurate) statements hold for d > 2 as well. We discuss the tightness of our methods, and describe connections to combinatorics, communication complexity and learning theory. We also provide explicit examples of matric...

We present the comparison between theoretical and empirical PL relations in V and I bands for the Large Magellanic Cloud. We found that, within the current intrinsic dispersions, theoretical predictions are in remarkable agreement with observational data. We also discuss the PLC relations in (V,B-V) and (V,V-I) as well as the dependence of distance determinations on uncertainties in colors, in ...

Shuffled leap frog algorithm (SFLA) is a new nature-inspired intelligent algorithm, which uses the whole update and evaluation strategy on solutions. For solving multi-dimension function optimization problems, this strategy will deteriorate the convergence speed and the quality of solution of algorithm due to interference phenomena among dimensions. To overcome this shortage, a dimension by dim...