Abstract. Let Dn be the generalized unit disk of degree n. In this paper, we find Riemannian metrics on the Siegel-Jacobi disk Dn × C (m,n) which are invariant under the natural action of the Jacobi group explicitly and also compute the Laplacians of these invariant metrics explicitly. These are expressed in terms of the trace form. We give a brief remark on the theory of harmonic analysis on t...

The current project is a preliminary attempt at assessing the potential of a three-dimensional virtual reality Stroop task (VRST) for investigation of supervisory attentional processing. The VRST was compared with paper-and-pencil and computer automated (two-dimensional) versions of the Stroop. Psychophysiological measures were also used to assess varying levels of user arousal. The three versi...

In this paper, we study generalized Douglas-Weyl Finsler metrics. We find some conditions under which the class of generalized Douglas-Weyl (&alpha, &beta)-metric with vanishing S-curvature reduce to the class of Berwald metrics.

urban landscape structural analysis; focused on the remnant patch mosaic network as the component with closest interdependency with air and water related processes was undertaken to find and propose environmental planning suggestions.assessments demonstrate that remnant patch mosaic network structure of tehran is still restorable. with appropriate corrective measures based on the natural lay ou...

development of remote sensing (rs) and gis techniques and that of landscape metrics in the late 1980s have caused to introduce a new dimension in the landscape ecology arena (the relationship between spatial patterns and ecological processes). however, scale dependence of some of landscape metrics and rs systems of different spatial resolution has resulted in particular attention into selection...

We argue that there are currently two major bottlenecks to the commercial use of statistical machine learning approaches for natural language generation (NLG): (a) The lack of reliable automatic evaluation metrics for NLG, and (b) The scarcity of high quality in-domain corpora. We address the first problem by thoroughly analysing current evaluation metrics and motivating the need for a new, mor...

Background Patient, public, consumer, and community (P2C2) engagement in organization-, community-, and systemlevel healthcare decision-making is increasing globally, but its formal evaluation remains challenging. To define a taxonomy of possible P2C2 engagement metrics and compare existing evaluation tools against this taxonomy, we conducted a systematic review.   Methods A broad search strate...

Let $(M,g)$ be a Riemannian manifold and $(TM,\tilde{g})$ its tangent bundle with the $g-$natural metric. In this paper, family of metallic structures $J$ is constructed on $TM,$ found conditions under which these are integrable. It proved that $(TM,\tilde{g},J)$ decomposable if only flat.

dually flat finsler metrics form a special and valuable class of finsler metrics in finsler information geometry,which play a very important role in studying flat finsler information structure. in this paper, we prove that everylocally dually flat generalized randers metric with isotropic s-curvature is locally minkowskian.