An economic theory of public facilities in space

This paper deals with the determination of the number and locations of facilities in which a public service is made available to consumers. The solutions obtained by planning and voting are characterized and compared for both a benefit taxation, based on consumers' locations, and an income taxation.     

Production and location on a network under demand uncertainty

The Hakimi theorem is fundamental in location theory. It says that the set of nodes and market-places necessarily contains a profit-maximizing location when the transportation costs are concave in distance. The purpose of this letter is to discuss the validity of this theorem in the context of a two-stage stochastic model of the location of a firm on a network. In the first stage, the firm chooses its location and production level before knowing the exact demands. In the second stage, it observes the realization of the random variables representing the demands and decides upon the distribution of its production. It is shown that the Hakimi theorem still holds in this model when the firm is risk-neutral. On the other hand, in the case of a risk-averse firm, it ceases to be true in that all the points of the network must be considered to obtain an optimal location.     

A convenient, high-sensitivity approach to multiple-resonance NMR at nanolitre volumes with inductively-coupled micro-coils

We propose using singly-tuned μ-coils and (1)H-detection to obtain high-sensitivity in lieu of miniaturizing cumbersome multi-resonance circuits, with the existing MAS probe circuitry/coil providing RF at other frequencies. We demonstrate two key building blocks in solid-state NMR: cross-polarization and heteronuclear decoupling. As well, a (1)H-detected 2D HMQC is obtained.