Let C be a field of subsets of a set I. It is well known that the space FA of all the finitely additive games of bounded variation on C is the norm dual of the space of all simple functions on C. In this paper we prove that the space BV of all the games of bounded variation on C is the norm dual of the space of all simple games on C. This result is equivalent to the compactness of the unit ball...

An algorithm for the simultaneous filling-in of texture and structure in regions of missing image information is presented in this paper. The basic idea is to first decompose the image into the sum of two functions with different basic characteristics, and then reconstruct each one of these functions separately with structure and texture filling-in algorithms. The first function used in the dec...

It is generally assumed that a question intonationally is accompanied with a certain question tune, usually characterized by a final rise in pitch (e.g. Bolinger 1978). If we consider German question intonation, the tonal characteristics of yes-no-questions seem to match the general pattern of a final rise in pitch. According to the intonational accounts of Standard German yes-no-questions endi...

In this paper an attempt is made to investigate the possible temporal correlation between heavy precipitation episodes and cosmic rays’ activity, on various time scales. Cosmic rays measurements are sparse and cover less extended periods than those of precipitation. Precipitation is largely influenced by local climatic and even physiographic conditions, while cosmic rays’ distribution is far mo...

This paper develops and applies a new estimation technique for distinguishing transitory and permanent price and income elasticities of charitable giving using panel data. Twelve-year individual averages of income and deductions are combined with information on legislated changes in tax schedules, to construct instruments for permanent price and income variation. Unlike the previous literature,...

Lake Clark is an important nursery lake for sockeye salmon (Oncorhynchus nerka) in the headwaters of Bristol Bay, Alaska, the most productive wild salmon fishery in the world. Reductions in water clarity within Alaska lake systems as a result of increased glacial runoff have been shown to reduce salmon production via reduced abundance of zooplankton and macroinvertebrates. In this study, we rec...

Increasingly the problems of recognising faces under a variety of viewing conditions, including depth rotations, is being considered in the eld. The concept of norm-based coding in face recognition is not new but has been little investigated in machine models. Here we describe a norm-based face recognition system which is capable of generalising from a single training view to recognise novel vi...

New lower bounds on the total variation distance between the distribution of a sum of independent Bernoulli random variables and the Poisson random variable (with the same mean) are derived via the Chen-Stein method. The new bounds rely on a non-trivial modification of the analysis by Barbour and Hall (1984) which surprisingly gives a significant improvement. A use of the new lower bounds is ad...

The work reported in the paper continues previous research on the description of Danish intonation in mathematical terms using a linear regression model. The present paper focuses on the first post-tonic syllable which constitutes the fundamental frequency peak in the stress group in Standard Danish. The results indicate that—in contradistinction to the stressed syllables—the F0 variation over ...