The subject of harmonic maps is vast and has found many applications, and it would require a very long book to cover all aspects, even superficially. Hence, we have made a choice; in particular, highlighting the key questions of existence, uniqueness and regularity of harmonic maps between given manifolds. Thus we shall survey some of the main methods of global analysis for answering these ques...

This paper presents a method based on the particle swarm optimization algorithm applied to estimate harmonic components in radial distribution feeders. It is important to mention that this method is not applied as harmonic state estimator, neither to estimate the total harmonic distortion at the substation. So, the proposed method can be employed to estimate the harmonic components in specific ...

A planar harmonic mapping in a simply connected domain D ⊂ C is a complex-valued function f u iv defined in D for which both u and v are real harmonic in D, that is, Δf 4fzz 0, where Δ represents the Laplacian operator. The mapping f can be written as a sum of an analytic and antianalytic functions, that is, f h g. We refer to 1 and the book of Duren 2 for many interesting results on planar har...

This paper presents a significant modification of our previously proposed speech recognizer’s front-end based on perceptual harmonic cepstral coefficients. The spectrum is split into two frequency bands, which correspond to the harmonic and non-harmonic components. A weighting function, which depends both on the voiced/unvoiced/ transitional classification and on the prominence of harmonic stru...

When the harmonic spectrum is known, or at least can be measured with a certain reliability or predicted, the additional losses can be easily calculated. The process of calculation should be made through the following steps: 1. Determination of all the components of additional losses due to the presence of harmonics. 2. Determination of the harmonic spectrum, either by measurement or by estimat...