In this paper, we provide a simple approximation for the distance from an arbitrary location to the kth nearest point. Distance is measured as the Euclidean and the rectilinear distances on a continuous plane. The approximation demonstrates that the kth nearest distance is proportional to the square root of k and inversely proportional to the square root of the density of points. The accuracy o...

Within image analysis the distance transform has many applications. The distance transform measures the distance of each object point from the nearest boundary. For ease of computation, a commonly used approximate algorithm is the chamfer distance transform. This paper presents an efficient linear-time algorithm for calculating the true Euclidean distance-squared of each point from the nearest ...

given four complex matrices a, b, c and d where a 2 cnn and d 2 cmm andlet the matrix(a bc d)be a normal matrix and assume that  is a given complex number that is not eigenvalue of matrix a. we present a method to calculate the distance norm (with respect to 2-norm) from d to the set of matrices x 2 cmm such that,  be a multiple eigenvalue of matrix(a bc x). we also nd the nearest matrix ...

one of the really important challenges facing agricultural producers is the choice of their product distribution channels. the present study is aimed at investigating the citrus marketing channel strategy and its determinants among citrus orchardists of mazandaran using a nested logit model. some two hundred and fifty two orchardists from 15 cities of mazandaran were taken as the study samples....

Distance to the kth nearest facility is important when facilities are closed Emergency facilities !! Hospitals !! Fire stations !! Refuges Facilities are closed because of accidents and disasters Analytical expressions for the kth nearest distance have been obtained Grid Random Grid Random For finding the relationship between the distances, we need the joint distribution Distribution of the kth...