This paper describes our work in-progress on a new automatic indexing technique for large one-dimensional (1D) or time-series data. The principal idea of the proposed time-series data indexing method is to encode the shape of time-series into an alphabet of characters and then to treat them as text. As far as we know this is a novel approach to 1D data indexing. In this paper we report our prel...

The notion of a first order topological structure was introduced by Pillay [1] as a generalization of the notion of an o-minimal structure. The idea is to provide a general framework in which model theory can be used to analyze a topological structure whose topology isn’t necessarily induced by a definable order. In the o-minimal case, the topology is generated from a basis where each basis set...

We prove a general possibility result for collective decision problems where individual allocations are one-dimensional, preferences are single-peaked (strictly convex), and feasible allocation profiles cover a closed convex set. Special cases include the celebrated median voter theorem ([10], [21]) and the division of a non disposable commodity by the uniform rationing rule ([47]). We construc...

The lattice theoretic terminology used in this paper is consistent with Birkhoff [2]. The topological terms can be found in [5] or [8] with the following exceptions. If X and Y are sets, X\Y denotes the relative compliment of Y with respect to X. If A is a subset of a topological space then A*, A"and FiA)=A*\A° denote the topological closure, interior and boundary of A. The symbol 0 denotes the...

Preparing polymer-like materials through supramolecular chemistry is an area of growing interest, yet full understanding of how non-covalent forces may be used to prepare such materials is lacking and as a result the success of these strategies is often serendipitous. Recent examples of discrete one-dimensional supramolecular fibers employing the most important types of non-covalent interaction...

In this paper we investigate the properties of a one-dimensional quantum wire of interacting electrons in the Wigner crystal limit. Recent theoretical work has explored some of the classical and quantum phase transitions associated with this system. For example, there exists a critical density above which the system can lower its energy by forming a quasi-one-dimensional zig-zag chain. We also ...

the effect of magnetic field on the liquid-liquid equilibrium of two ternary systems (water + acetic acid + butyl acetate and water + acetic acid + dimethyl succinate) at 298.15 k under atmospheric pressure was investigated. the results obtained show that the strength of the magnetic field (0.02 t) affects the solubility of acetic acid in the used organic solvents. distribution coefficients and...

Recent experimental and theoretical work has indicated conditions in which a trapped, low density Bose gas ought to behave like the 1D delta-function Bose gas solved by Lieb and Liniger. Up until now, the theoretical arguments have been based on variational/perturbative ideas or numerical investigations. There are four parameters: density, transverse and longitudinal dimensions, and scattering ...