We begin the development of a theory of Banach spaces in the definable setting of o-minimal structures. We outline several results which develop the theory of compact embeddings for explicitly given function spaces. One aim is to explain the substantive underpinnings of an important observation used in the proof of the Reparameterization Theorem of Pila and Wilkie in [2]. We place this observat...

Abstract Pyhäsalmi, in the Town of Pyhäjärvi, hosts one northernmost deep underground laboratories Europe, Callio Lab. Its origins are physics (Centre for Underground Physics CUPP), but gradually it has turned into a multi- and transdisciplinary research environment utilising both surface underground. Besides research, infrastructure is open business innovation under – Mine Business. The pre-in...

nitrogen oxides and carbon monoxide gases together with dust are known as the major pollutants arising during the blasting operations using the ammonium nitrate-fuel oil (anfo) explosive at the sungun surface mine, located in the northwest of iran. the pollutants were monitored during some blasting operations at the mine. it was concluded that the gases and dust clouds initially went up to the ...

sarcheshmeh copper mine, with the final reserves of 828 million tons of sulfur ore and average grade of 0.74%, is known to be the largest open pit of iran and most probably the second largest copper mine in the world. this mine is located in the seismotectonic zone of central-iran, and 23 km away from the 150 km long rafsanjan active fault.in this study the vulnerability of the west wall of the...

BEA is studying proposals to change the treatment of insurance services in the national accounts. There are 5 proposed changes: investment income will be added as a supplement to the premiums paid by policyholders; investment income is to include interest, dividends and capital gains; a measure of expected investment income will be incorporated; a measure of expected claims will be incorporated...

Various alternatives are available when designing a data collection system for portfolio investment (PI) statistics, in the context of balance of payments (BOP) and international investment position (IIP). Such systems differ according to the reporting agents they target, periodicity and level of aggregation, while the corresponding results vary in terms of implementation and running costs, ava...

Project executives believe complex multinational investment selection is complicated because there are many criteria to evaluate and the decision-making theories are difficult to implement in practice. The 2008 global recession has forced companies to rebalance existing programs and products. Thus, project selection is not merely a go/no-go decision for a single project but instead it is a mult...

CONDENSED statements of Association finances for the year 1952, prepared by the auditing firm of G. P. Graham & Company, are published herewith, in order that the entire membership may be fully informed regarding the financial operations, obligations, and resources of the AAAS. The first two statements summarize operating receipts and expenditures. Once again the annuity payments to the Cattell...

We expose a theorem of Pila and Wilkie on counting rational points in sets definable in o-minimal structures and some applications of this theorem to problems in diophantine geometry due to Masser, Peterzil, Pila, Starchenko, and Zannier.

William L. Wilkie is Nathe Professor of Marketing, University of Notre Dame (e-mail: [email protected]). How Did This Issue Come About? For much of my career, I have been intrigued with trying to comprehend what the field of marketing is actually about (and what it might be about, what it could be about, what it should be about, and so forth). In recent years, I have joined with my colleague Eliza...