A statistical analysis of functional data, obtained as reflectance values measured using a hyperspectral sensor, was used to determine water content in vine leaves. Our study was conducted using a sample of 80 vine leaves whose water content was determined by calculating the weight difference between leaves before and after drying in an oven. Two regression models, one linear and the other non-...

Axial Flux Permanent Magnet Machines benefit from manufacturing advantages and reduction in end winding length through the use of tooth-concentrated fractional windings but display increased space harmonic content, leading to higher eddy current losses in the rotor iron and permanent magnets. The choice of a double layer tooth-concentrated fractional winding for the modeling and design of a 24 ...

Let Mn be a simple triangulation of the sphere S, drawn uniformly at random from all such triangulations with n vertices. Endow Mn with the uniform probability measure on its vertices. After rescaling graph distance by (3/(4n)), the resulting random measured metric space converges in distribution, in the Gromov–Hausdorff– Prokhorov sense, to the Brownian map. In proving the preceding fact, we i...

The dynamic window approach is a well known navigation scheme developed by Fox et. al. [1] and extended by Brock and Khatib [2]. It is safe by construction and has been shown to perform very efficiently in experimental setups. However, one can construct examples where the proposed scheme fails to attain the goal configuration. What has been lacking is a theoretical treatment of the algorithm’s ...

Padé approximants are used to find approximate vortex solutions of any winding number in the context of Gross-Pitaevskii equation for a uniform condensate and condensates with axisymmetric trapping potentials. Rational function and generalised rational function approximations of axisymmetric solitary waves of the Gross-Pitaevskii equation are obtained in two and three dimensions. These approxim...

The technically pure copper is being replaced by aluminium as conductive material in electrical transformers for power systems. This evolution brings new manufacturing challenges. One major difficulty is the limited weld ability and non-acceptable residual deformations of the aluminium, when welded by fusion arc welding processes. The Friction Stir Welding (FSW) was selected for evaluation cons...

We study details of the approach to the Hagedorn temperature in string theory in various static spacetime backgrounds. We show that the partition function for a single string at finite temperature is the torus amplitude restricted to unit winding around Euclidean time. We use worldsheet path integral to derive the statement that the the sum over random walks of the thermal scalar near the Haged...

a mathematical modelling for more-winding single-phase transformer is presented. the incidence matrix-which gives the informations about the connection of the ends of the windings between the nodes-is multiplied leftside and rightside with the inverse of the inductance matrix of the more winding transformer. the result is a matrix which gives the relationship between nodes potentials and nodes ...

This article is devoted to an investigation of a reality condition of a hyperelliptic loop soliton of higher genus. In the investigation, we have a natural extension of Jacobi am-function for an elliptic curves to that for a hyperelliptic curve. We also compute winding numbers of loop solitons.