Optimal distribution substation placement is one of the major components of optimal distribution system planning projects. In this paper optimal substation placement problem is solved using Imperialist Competitive Algorithm (ICA) as a new developed heuristic optimization algorithm. This procedure gives the optimal size, site and installation time of medium voltage substation, using their relate...

An image can be seen as an element of a vector space so that it can be expressed in terms of a series expansion of any non necessarily orthogonal base of this space. This paper shows how a matrix-based formulation of this fact permits deriving a new reconstruction method of an image from its geometric moments where the basis functions used in the reconstruction and those used to obtain the mome...

Knowledge of a truncated Fourier series expansion for a 2nperiodic function of finite regularity, which is assumed to be piecewise smooth in each period, is used to accurately reconstruct the corresponding function. An algebraic equation of degree M is constructed for the M singularity locations in each period for the function in question. The M coefficients in this algebraic equation are obtai...

Let T be an estimate of the form Tn = T(F ) where F is the nn n' n sample cdf of n iid observations and T is a locally quadratic functional defined on cdf's. Then, the normalized jackknife estimates for bias, skewness, and variance of Tn approximate closely their bootstrap counterparts. Each of these estimates is consistent. Moreover, the jackknife and bootstrap estimates of variance are asympt...

We define Hodge correlators for a compact Kähler manifold X. They are complex numbers which can be obtained by perturbative series expansion of a certain Feynman integral which we assign to X. We show that they define a functorial real mixed Hodge structure on the rational homotopy type of X. The Hodge correlators provide a canonical linear map from the cyclic homomogy of the cohomology algebra...