The realization that entanglement can affect macroscopic properties of bulk solid-state systems is a challenge in physics and Chemistry. Theoretical physicists often are considered the entanglement between nearest-neighbor (NN) spins and tried to find its characterizations in terms of macroscopic thermodynamics observables as magnetization and specific heat. Here, we focus on the entanglement b...

As we know, both nearest neighbor and range searching problems are among the most important and fundamental problems in computational geometry because of its numerous important application areas [1, 2]. Specially, in many modern database applications, high-dimensional searching problems arise when complex objects are represented by vectors of d numeric features. As the dimension d increases hig...

Spatial data mining is a special kind of data mining. Patterns, clusters, classifications, etc., can be derived from the big data available. Especially, nearest neighbor search approach with respect to a query point plays a key role in arriving at the final decision making. Like Computer Integrated Manufacturing, Facility Layout, Cellular Manufacturing, nearest neighbor search has been found se...

I ARS'IRACT This paper is a survey of techniques used for searching in a multidimensicnal space. Though we ccnsider specifically the Froblem of searching for fixed radius near neighbors (that is, all points within a fixed distance of a given point), the structures presented bere are applicable to eiany different search problems in multidimensional spaces. The orientation of this paper is practi...

Understanding functions of proteins is one of the most important challenges in many studies of biological processes. The function of a protein can be predicted by analyzing the functions of structurally similar proteins, thus finding structurally similar proteins accurately and efficiently from a large set of proteins is crucial. A protein structure can be represented as a vector by 3D-Zernike ...

It is well known that for Gaussian channels, a nearest neighbor decoding rule, which seeks the minimum Euclidean distance between codeword and received channel output vector, maximum likelihood solution hence capacity-achieving. Nearest remains convenient yet mismatched general key message of this paper performance can be improved by generalizing its metric to incorporate state dependent proces...