We propose a method that computes a conformal mapping from a multiply connected mesh to the so-called slit domain, which consists of a canonical rectangle or disk in which 3D curved landmarks on the original surfaces are mapped to concentric or parallel lines in the slit domain. In this paper, we studied its application to brain surface parameterization. After cutting along some landmark curve ...

In this paper, we define both the upper and lower order of a sense-preserving harmonic mapping in D . We generalize to case some known results about holomorphic functions with positive show consequences function having finite order. addition, improve related result when there is equality distortion theorem for mappings Some examples are provided illustrate developed theory.

Among the most influential publications in speech perception is Liberman, Delattre, and Cooper's [Am. J. Phys. 65, 497-516 (1952)] report on the identification of synthetic, voiceless stops generated by the Pattern Playback. Their map of stop consonant identification shows a highly complex relationship between acoustics and perception. This complex mapping poses a challenge to many classes of r...

This paper introduces the indicators for surge arrester condition assessment based on the leakage current analysis. Maximum amplitude of fundamental harmonic of the resistive leakage current, maximum amplitude of third harmonic of the resistive leakage current and maximum amplitude of fundamental harmonic of the capacitive leakage current were used as indicators for surge arrester condition mon...

In this paper a novel method based on evolutionary algorithms is presented to estimate the harmonic components. In general, the optimization of the harmonic estimation process is a multi-component problem, in which evaluation of the phase and harmonic frequency is the nonlinear part of the problem and is solved based on the mathematical and evolutionary methods; while estimation of amplitude of...

Let f be a sense-preserving harmonic mapping in the unit disk. We give a sufficient condition in terms of the pre-Schwarzian derivative of f to ensure that it can be extended to a quasiconformal map in the complex plane. Introduction A well-known criterion due to Becker [5] states that if a locally univalent analytic function φ in the unit disk D satisfies (1) sup z∈D ∣∣∣∣φ′′(z) φ′(z) ∣∣∣∣ (1− ...

In this work we investigate the Lp−Lq-mapping properties of resolvent associated with time-harmonic isotropic Maxwell operator. As spectral parameters close to spectrum are also covered by our analysis, obtain an Lp−Lq-type Limiting Absorption Principle for Our analysis relies on new results Helmholtz systems zero order non-Hermitian perturbations. Moreover, provide improved version Hermitian (...

the harmonic in distribution systems becomes an important problem due to an increase in nonlinear loads. this paper presents a new approach based on a graph algorithm for optimum placement of passive harmonic filters in a multi-bus system, which suffers from harmonic current sources. the objective of this paper is to minimize the network loss, the cost of the filter and the total harmonic disto...