The effect of separation distance between turbines on overall cluster performance were simulated using computational fluid dynamics software and we found that at a equivalent to two rotors, there was an improvement +8.06% in the average compared single, isolated turbine. A very small noted 12 rotor diameters. performances three individual pyramid- inverted pyramid-shaped vertical axis wind turb...

We study the threshold θ bootstrap percolation model on the homogeneous tree with degree b+ 1, 2 ≤ θ ≤ b, and initial density p. It is known that there exists a nontrivial critical value for p, which we call pf , such that a) for p > pf , the final bootstrapped configuration is fully occupied for almost every initial configuration, and b) if p < pf , then for almost every initial configuration,...

Since clusters were first introduced[5], node counts have increased rapidly. Currently, a variety of clusters with more than one thousand nodes are listed on the TOP500 list. In the next three years, clusters with more than four thousand nodes are expected. Cluster management functionality has lagged behind all areas of system software. In order to effectively manage the clusters of today and t...

Since clusters were first introduced[5], node counts have increased rapidly. Currently, a variety of clusters with more than one thousand nodes are listed on the TOP500 list. In the next three years, clusters with more than four thousand nodes are expected. Cluster management functionality has lagged behind all areas of system software. In order to effectively manage the clusters of today and t...

A coupled-cluster approach for systems of N bosons in external traps is developed. In the coupled-cluster approach the exact many-body wavefunction is obtained by applying an exponential operator exp{T} to the ground configuration |φ0〉. The natural ground configuration for bosons is, of course, when all reside in a single orbital. Because of this simple structure of |φ0〉, the appearance of exci...

The facility location problem has occupied a central place in operations research since the early 1960's, as it models design decisions on the placement of factories, warehouses, schools, or hospitals to serve a set of customers efficiently. For an overview of previous work see the survey chapter by Cornue-jols, Nemhauser & Wolsey in [21]. Recently, it has received renewed research interest bec...

Geographic clustering of innovative industries is associated with the entry and success of spinoff firms. We develop a model to explain the multiple empirical patterns regarding cluster growth and spinoff formation and performance, without relying on agglomeration externalities. Clustering naturally follows from spinoffs locating near their parents. In our model, firms grow and spinoffs form th...

Small clusters of nanoparticles are ideal substrates for SERS measurements, but the SERS signal enhancement by a particular cluster is strongly dependent on its structural characteristics and the measurement conditions. Two methods for high-throughput assembly of silver nanocubes into small clusters at predetermined locations on a substrate are presented. These fabrication techniques make it po...

In dynamical critical site percolation on the triangular lattice or bond percolation on Z , we define and study a local time measure on the exceptional times at which the origin is in an infinite cluster. We show that at a typical time with respect to this measure, the percolation configuration has the law of Kesten’s Incipient Infinite Cluster. In the most technical result of this paper, we sh...