using the electrostatic capacity of a condenser, the existence of a distance function on a finsler space is discussed. this distance function divides finsler spaces into the two classes, denoted here by i and ii. the topology generated by this distance on the finsler spaces of class ii coincides with its intrinsic topology. this work provides a natural extension of mathematical analysis tools n...

Information theoretic measures of incremental parser load were generated from a phrase structure parser and a dependency parser and then compared with incremental eye movement metrics collected for the same temporarily syntactically ambiguous sentences, focussing on the disambiguating word. The findings show that the surprisal and entropy reduction metrics computed over a phrase structure gramm...

We show how certain diffeomorphism-invariant functionals on differential forms in dimensions 6, 7 and 8 generate in a natural way special geometrical structures in these dimensions: metrics of holonomy G2 and Spin(7), metrics with weak holonomy SU(3) and G2, and a new and unexplored example in dimension 8. The general formalism becomes a practical tool for calculating homogeneous or cohomogenei...

We study a model for language evolution which was introduced by Nowak and Krakauer ([12]). We analyze discrete distance spaces and prove a conjecture of Nowak for all metrics with a positive semidefinite associated matrix. This natural class of metrics includes all metrics studied by different authors in this connection. In particular it includes all ultra-metric spaces. Furthermore, the role o...

introduction “green infrastructure” is a term that describes the abundance and distribution of natural features providing ecological services necessary for community wellbeing specially in urban areas where these are limited. green infrastructure is increasingly espoused by landscape conservation and metropolitan planning because it is an effective way to surrogate ecological network functions ...

logistic regression (lr) was used to model urban growth between the years 1987 and 2001 in gorgan city, north east of iran. three groups of variables including economic-social, land use and biophysical variables were used in the modeling practice. using covariance of the independent variables, distance to administrative and sporting centers plus distance to cities were removed. roc (relative op...

the main objective of this paper is to find the necessary and sufficient condition of a given finslermetric to be einstein in order to classify the einstein finsler metrics on a compact manifold. the consideredeinstein finsler metric in the study describes all different kinds of einstein metrics which are pointwiseprojective to the given one. this study has resulted in the following theorem tha...

This paper describes an independent validation study for a suite of reusability metrics for component based design published in the literature. The metrics under validation were originally proposed using a semi-formal notation, namely a combination of mathematical formulae with natural language descriptions for elementary parts of those formulae. They were then computed using proprietary tools....