" In view of all that we have said in the foregoing sections, the many obstacles we appear to have surmounted, what casts the pall over our victory celebration? It is the curse of dimensionality, a malediction that has plagued the scientist from the earliest days. " – Richard Bellman 1. Introduction Many real data sets are very high dimensional. In some scenarios, real data sets may contain hun...

We present a novel algorithm, called Links, designed to perform online clustering on unit vectors in a high-dimensional Euclidean space. The algorithm is appropriate when it is necessary to cluster data efficiently as it streams in, and is to be contrasted with traditional batch clustering algorithms that have access to all data at once. For example, Links has been successfully applied to embed...

In wireless sensor network, determine the position of the node position or events is very important to its surveillance activities, however, in the traditional wireless sensor network, are using two-dimensional spatial positioning technology, aiming at this problem, this article will wireless sensor network (WSN) 2 d algorithm is extended to 3 d space, analyzes the main factors affecting the po...

In this paper, a new design of demultiplexer based on two-dimensional photonic crystal ringresonator is proposed. The structure is made of a hexagonal lattice of silicon rods with therefractive index 3.46 in coefficient of air with refractive index 1. The transmission efficiencyand Quality factor for our proposed demultiplexer, respectively, are more than 65% and1600. The normalized transmissio...

In this article, we apply the operational matrix to find the numerical solution of two- dimensional nonlinear Volterra integro-differential equation (2DNVIDE). Form this prospect, two-dimensional shifted Legendre functions (2DSLFs) has been presented for integration, product as well as differentiation. This method converts 2DNVIDE to an algebraic system of equations, so the numerical solution o...

turbocharging an engine boosts its power by increasing the amount of input air. this task is accomplished by using the exhaust gas to power a turbine which is engaged with a compressor. the variable geometry turbocharger, vgt is a unique turbocharger that the diffuser vane angle can be changed over a wide range of positions. the mathematics of turbomachinery flow analysis is intensive and uses ...