We establish a p-adic version of the inequalities linking values of Koksma’s functions of two algebraically dependent transcendental numbers and show that in a very special, but nontrivial case these inequalities become equalities.

In recent years, there has been a resurgence of interest in the value construct among both practitioners and marketing researchers. The purpose of this article is to introduce the reader to the different articles included in this special issue of Industrial Marketing Management on Customer Value in Business Markets. The issue takes a look at value from three different perspectives: value creati...

To advance the understanding of different diagrammatic reasoning architectures that reason directly with images, we examine the relationship between Anderson's Inter-Diagrammatic Reasoning (IDR) architecture and Furnas' BITPICT architecture using the technique of cross-implementation. Implementing substantial functionality of each in the other, and noting what is easy and what is difficult, yie...

Forms of convenience voting, including voting-by-mail (VBM), provide citizens the opportunity to cast ballots without being exposed to the information revealed in the final weeks leading up to Election Day. This creates the possibility that informational differences will cause VBM and polling place voters to vote differently. We test this hypothesis by looking at whether the increased use of VB...

The last decade has seen a resurgence of interest in the use of ortho-normalised parameterisations for system estimation applications. This has produced a large body of theoretical work that has sought to provide sound scientific underpinnings. The paper here has a different focus in that emphasis is placed on practical dividends associated with orthonormal parameterisations.

In recent years there has been a resurgence in interest in philosophical aspects of chemistry, dating from the early 1990s (1-3). It is gratifying to see that this development has not been confined to analytical philosophy but has frequently spilled over into issues concerning the history of chemistry. Giunta’s recent article (4) is therefore of great interest because it represents an example o...

The most powerful assumption in data analysis is that of independence. Unfortunately, it is almost impossible to check, so it often must stay as an assumption. One way out of this trap is to assume less independence than usual: Instead of assuming all n observations are i.i.d. (independently and identically distributed), it is often more credible to assume that several blocks of the data are in...

The two-sided market of newspapers with its two customer groups, readers and advertisers, is changing due to digitalization. This former stable and profitable market has lately suffered from both decreasing subscription and advertiser revenue. In this paper we use the term ubiquitous media environments to represent the vision of future media environments enabling device independent mass-scale d...

We study the theory T ∗ of the structure induced by parameter free formulas on a dense algebraically independent subset of a model of a geometric theory T . We show that while being a trivial geometric theory, T ∗ inherits most of the model theoretic complexity of T related to stability, simplicity, rosiness, NIP and NTP2. In particular, we show that T is strongly minimal, supersimple of SU-ran...

We prove sharp irrationality measures for a q-analogue ofπ and related q-series, and indicate open problems on linear and algebraic independence of the series that might be viewed as q-analogues of some classical mathematical constants.