In this work we propose a metric to assess academic productivity based on publication outputs. We are interested in knowing how well a research group in an area of knowledge is doing relatively to a pre-selected set of reference groups, where each group is composed by academics or researchers. To assess academic productivity we propose a new metric, which we call P-score. Our metric P-score ass...

in this paper the general relatively isotropic l -curvature finsler metrics are studied. it isshown that on constant relatively landsberg spaces, the concepts of weakly landsbergian, landsbergianand generalized landsbergian metrics are equivalent. some necessary conditions for a relativelyisotropic l -curvature finsler metric to be a riemannian metric are also found.

Let P = ({1, 2, . . . , n,≤) be a poset that is an union of disjoint chains of the same length and V = Fq be the space of N -tuples over the finite field Fq. Let Vi = F ki q , 1 ≤ i ≤ n, be a family of finitedimensional linear spaces such that k1 + k2 + . . . + kn = N and let V = V1⊕V2⊕ . . .⊕Vn endow with the poset block metric d(P,π) induced by the poset P and the partition π = (k1, k2, . . ....

The present paper deals with the wastewater pond accident in Nagybánya (Romania) in 2000 of which the result was an about 100 tons of highly toxic cyanide spill into the River Tisza. Measurements and laboratory tests were performed during the toxic wave transport. On the basis of this data set mass balance calculations were performed by hydraulic and transport models to investigate and better u...

Example 2.0. (1) Let M = CP n 2 with the classical Fubini-Study metric and diameter π2 . Let Br(p) be the metric ball of radius r and center p in CP n 2 , and let Sr(p) = ∂Br(p) be the metric sphere of radius r centered at p. It is well-known that Sπ 2 (p) is isometric to CP n 2 . The first author is supported in part by an NSF grant. Mailing Address: Department of Mathematics, University of No...

It was proved by M. Bonk, J. Heinonen and P. Koskela that the quasihyperbolic metric hyperbolizes (in the sense of Gromov) uniform metric spaces. In this paper we introduce a new metric that hyperbolizes all locally compact noncomplete metric spaces. The metric is generic in the sense that (1) it can be defined on any metric space; (2) it preserves the quasiconformal geometry of the space; (3) ...

1 Distance metrics and similarity measures 2 1.1 Distance metrics . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.2 Vector norm and metric . . . . . . . . . . . . . . . . . . . . . . . 3 1.3 The `p norm and `p metric . . . . . . . . . . . . . . . . . . . . . 4 1.4 Distance metric learning . . . . . . . . . . . . . . . . . . . . . . . 7 1.5 The mean as a similarity measure . . . . . . ...

Our main observation concerns closed geodesics on surfaces M with a smooth Finsler metric, i.e. a function F : TM → [0,∞) which is a norm on each tangent space TpM , p ∈ M , which is smooth outside of the zero section in TM , and which is strictly convex in the sense that Hess(F ) is positive definite on TpM \ {0}. One calls a Finsler metric F symmetric if F (p,−v) = F (p, v) for all v ∈ TpM . ...