On The Critical Points of some Iteration Methods for Solving Algebraic Equations. Global Convergence Properties

In this work we give su±cient conditions for k-th approximations of the polynomial roots of f(x) when the Maehly{Aberth{Ehrlich, Werner-Borsch-Supan, Tanabe, Improved Borsch-Supan iteration methods fail on the next step. For these methods all non-attractive sets are found. This is a subsequent improvement of previously developed techniques and known facts. The users of these methods can use the results presented here for software implementation in Distributed Applications and Simulation Environ- ments. Numerical examples with graphics are shown.

Weierstrass Points with First Non-Gap Four on a Double Covering of a Hyperelliptic Curve

2000 Mathematics Subject Classification: Primary 14H55; Secondary 14H30, 14H40, 20M14.

Fibrés Vectoriels Semi-Stables sur une Courbe de Genre Deux et Association des Points dans L’espace Projectif

2000 Mathematics Subject Classification: 14D20, 14J60.

Quasi-Likelihood Estimation for Ornstein-Uhlenbeck Diffusion Observed at Random Time Points

2000 Mathematics Subject Classification: 60J60, 62M99.

PC Points and their Application to Vector Optimization

AMS subject classification: 90C29, 90C48

Estimation of uncertainty in three-dimensional coordinate measurement by comparison with calibrated points

This paper details a method of estimating the uncertainty of dimensional measurement for a three-dimensional coordinate measurement machine. An experimental procedure was developed to compare three-dimensional coordinate measurements with calibrated reference points. The reference standard used to calibrate these reference points was a fringe counting interferometer with a multilateration-like technique employed to establish three-dimensional coordinates. This is an extension of the established technique of comparing measured lengths with calibrated lengths. Specifically a distributed coordinate measurement device was tested which consisted of a network of Rotary-Laser Automatic Theodolites (R-LATs), this system is known commercially as indoor GPS (iGPS). The method was found to be practical and was used to estimate that the uncertainty of measurement for the basic iGPS system is approximately 1 mm at a 95% confidence level throughout a measurement volume of approximately 10 m × 10 m × 1.5 m. © 2010 IOP Publishing Ltd.

Five Turning Points in the Historical Progress of Statistics - My Personal Vision

Statistics has penetrated almost all branches of science and all areas of human endeavor. At the same time, statistics is not only misunderstood, misused and abused to a frightening extent, but it is also often much disliked by students in colleges and universities. This lecture discusses/covers/addresses the historical development of statistics, aiming at identifying the most important turning points that led to the present state of statistics and at answering the questions “What went wrong with statistics?” and “What to do next?”. ACM Computing Classification System (1998): A.0, A.m, G.3, K.3.2.

On the Critical Points of Kyurkchiev’s Method for Solving Algebraic Equations

This paper is dedicated to Prof. Nikolay Kyurkchiev on the occasion of his 70th anniversary This paper gives sufficient conditions for kth approximations of the zeros of polynomial f (x) under which Kyurkchiev’s method fails on the next step. The research is linked with an attack on the global convergence hypothesis of this commonly used in practice method (as correlate hypothesis for Weierstrass–Dochev’s method). Graphical examples are presented.

Corrigendum for "Weierstrass Points with first Non-Gap four on a Double Covering of a Hyperelliptic Curve"

In the proof of Lemma 3.1 in [1] we need to show that we may take the two points p and q with p ≠ q such that p+q+(b-2)g21(C′)∼2(q1+… +qb-1) where q1,…,qb-1 are points of C′, but in the paper [1] we did not show that p ≠ q. Moreover, we hadn't been able to prove this using the method of our paper [1]. So we must add some more assumption to Lemma 3.1 and rewrite the statements of our paper after Lemma 3.1. The following is the correct version of Lemma 3.1 in [1] with its proof.

Fekete-Szegoe problem for certain subclasses of analytic functions with respect to symmetric points

MSC 2010: 30C45

Weierstrass Points with First Non-Gap Four on a Double Covering of a Hyperelliptic Curve II

2000 Mathematics Subject Classification: Primary 14H55; Secondary 14H30, 14J26.

New Coefficient Conditions for Functions Starlike with Respect to Symmetric Points

2000 Mathematics Subject Classification: Primary 30C45, secondary 30C80.

Evaluation in translation:critical points of translator decision-making

Book review: Evaluation in Translation: Critical Points of Translator Decision-Making, by Jeremy Munday, London, Routledge, 2012, 194 pp., £95 (hardback), ISBN 978-0-415-57769-4, £26.99 (paperback), ISBN 978-0-415-57770-0.

A tudásmenedzsment és az IT audit kapcsolódási pontjai - a tudásmenedzsment-rendszerek auditja (Connection points of knowledge management and IT audit – audit of knowledge management systems)

A cikkben a szerzők megvizsgálják a tudásmenedzsment komplex rendszerfejlesztési projektekben és az informatikai auditban játszott szerepét. Fő céljuk, hogy a tudásmenedzsment-rendszerek fejlesztéséhez kapcsolódó audit támogatására értékelési modellt készítsenek. Cikkükben megvizsgálják a tudásmenedzsmentnek az IT-auditban játszott általános szerepét, az auditban érintett tudásvagyon védelmének kérdését, a tudásmenedzsment-folyamatok szerepét a rendszerfejlesztésben (auditszempontból), a kontrollok implementálását, valamint a tudásmenedzsment és az IT-audittal kapcsolatos szabványok, módszertanok kapcsolatát. Az eredmények illusztrálására egy az Európai Unió 7. keretprogramjából finanszírozott nemzetközi projekt (GUIDE, IST–2003–507498) szolgál. ________________ Authors investigate the role of knowledge management in complex system development projects and IT audit. The primary goal is to provide an evaluation framework for an assessment of the development of special knowledge management solutions. On the other hand IT audit itself is a knowledge-dependent activity. The paper analyses the role of knowledge management in IT audit in general, the protection of knowledge assets during an audit, the role of knowledge management processes during system development (from audit point of view) and in the implementation of controls, the relationship of knowledge management with audit standards. Authors investigate the specialities of KM developments from audit point of view (particularly important aspects of audit, specific control objectives) A case study, based on experiences gained from GUIDE project (IST-2003-507498 funded by the European Commission’s 6th Framework Programme) illustrates the findings.