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.

Developing Students’ Mathematical Thinking and Algorithmic Culture in IT Classes

Report published in the Proceedings of the National Conference on "Education in the Information Society", Plovdiv, May, 2012

On the Algebraic Properties of Convex Bodies

AMS subject classification: 52A01, 13C99.

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.

A Characterization Theorem for the K-functional Associated with the Algebraic Version of Trigonometric Jackson Integrals

2000 Mathematics Subject Classification: 41A25, 41A36.

A Note on the L2-norm of the Second Fundamental Form of Algebraic Manifolds

2000 Mathematics Subject Classification: 53C42, 53C55.

Women’s adaptation to STEM domains promotes resilience and a lesser reliance on heuristic thinking

Experiences that compel people to challenge social stereotypes can promote enhanced cognitive flexibility on a range of judgmental domains. Women in STEM (science, technology, engineering, and math) fields are chronically exposed to such experiences and may therefore also demonstrate these benefits. Two studies examined the differential effects of counterstereotypical experiences on women from STEM and non-STEM fields. Results showed that imagining or recollecting these experiences led women from STEM fields to exhibit a lesser reliance on heuristic thinking compared to women from non-STEM fields, and this difference was mediated by self-perceived resilience to the negative impact of gender stereotyping. Implications for psychologists’ and educators’ understanding of the relationship between counterstereotypical experiences and heuristic thinking are discussed.

Creative thinking experimentations for entrepreneurship with a disruptive, personalised and mobile game-based learning ecosystem

Based on an unprecedented need of stimulating creative capacities towards entrepreneurship to university students and young researchers, this paper introduces and analyses a smart learning ecosystem for encouraging teaching and learning on creative thinking as a distinct feature to be taught and learnt in universities. The paper introduces a mashed-up authoring architecture for designing lesson-plans and games with visual learning mechanics for creativity learning. The design process is facilitated by creativity pathways discerned across components. Participatory learning, networking and capacity building is a key aspect of the architecture, extending the learning experience and context from the classroom to outdoor (co-authoring of creative pathways by students, teachers and real-world entrepreneurs) and personal spaces. We anticipate that the smart learning ecosystem will be empirically evaluated and validated in future iterations for exploring the benefits of using games for enhancing creative mindsets, unlocking the imagination that lies within, practiced and transferred to multiple academic tribes and territories.

Some extended psychological benefits of challenging social stereotypes:decreased dehumanization and a reduced reliance on heuristic thinking

One way to promote equality is to encourage people to generate counterstereotypic role models. In two experiments, we demonstrate that such interventions have much broader benefits than previously thoughtreducing a reliance on heuristic thinking and decreasing tendencies to dehumanize outgroups. In Experiment 1, participants who thought about a gender counterstereotype (e.g., a female mechanic) demonstrated a generalized decrease in dehumanization towards a range of unrelated target groups (including asylum seekers and the homeless). In Experiment 2 we replicated these findings using alternative targets and measures of dehumanization. Furthermore, we found the effect was mediated by a reduced reliance on heuristic thinking. The findings suggest educational initiatives that aim to challenge social stereotypes may not only have societal benefits (generalized tolerance), but also tangible benefits for individuals (enhanced cognitive flexibility).

Algebraic duality theorems for infinite LP problems

In this paper we consider a primal-dual infinite linear programming problem-pair, i.e. LPs on infinite dimensional spaces with infinitely many constraints. We present two duality theorems for the problem-pair: a weak and a strong duality theorem. We do not assume any topology on the vector spaces, therefore our results are algebraic duality theorems. As an application, we consider transferable utility cooperative games with arbitrarily many players.

Úton a megoldásalapú gondolkodás felé – szolgálatosodási jellemzők magyarországi termelővállalatoknál (Towards solution-based thinking: characteristics of servitization at Hungarian manufacturing companies)

A cikk fő célja a magyarországi termelővállalatok szolgálatosodási folyamatának jellemzése a versenyképesség- kutatás adatainak felhasználásával. Relevanciáját az adja, hogy a nemzetközi szakirodalom a jelenséget inkább a fejlett országokban vizsgálja. A szerzők kutatásukban körüljárták, hogy a szolgálatosodás nemzetközi szakirodalom által elfogadott jellemzői mennyiben tekinthetők érvényesnek a magyarországi viszonyok közepette. A szolgálatosodást három szinten vizsgálták: stratégia, működés és pénzügyi eredményesség. Vizsgálatuk eredményei azt mutatják, hogy a nemzetközi szakirodalommal összhangban a szolgáltatások stratégiai szerepe még alacsony a magyarországi termelővállalatoknál a termelési stratégia többi versenycéljához képest. Ugyanakkor mintájukban már megtalálhatók azok a vállalatok, amelyek mind stratégiai, mind működési szinten jelentősebb hangsúlyt fektetnek a szolgáltatások nyújtására. Fontos eredmény ugyanakkor, hogy a szolgálatosodástól elvárt pénzügyi előnyök még ezeknél a vállalatoknál sem realizálódnak. _______ The main purpose of the authors is to describe the servitization process of Hungarian manufacturing companies based on data of the Competitiveness research. The relevance of this article is given by the fact that international literature analyzes this phenomenon mainly in developed countries. In the present paper they analyze to what extent characteristics of the servitization process, generally accepted in the literature, are also applicable in a developing macroenvironment, i.e. Hungary. They approach servitization from three different perspectives: strategy, operations and financial payoffs. Results of their analysis show that, in concordance with the literature, the strategic role of services at the Hungarian manufacturing companies is still lower than other manufacturing competitive priorities. However, their sample contains a number manufacturing companies that place a greater emphasis on offering services both on strategic and operational level. An important conclusion of their study is that in case of these companies financial benefits attributable to higher levels of servitization do not yet seem to materialize.

The knowledge and use of critical thinking teaching strategies of faculty in associate degree nursing education programs

The purpose of this study was to determine the knowledge and use of critical thinking teaching strategies by full-time and part-time faculty in Associate Degree Nursing (ADN) programs. ^ Sanders CTI (1992) instrument was adapted for this study and pilot-tested prior to the general administration to ADN faculty in Southeast Florida. This modified instrument, now termed the Burroughs Teaching Strategy Inventory (BTSI), returned reliability estimates (Cronbach alphas of .71, .74, and .82 for the three constructs) comparable to the original instrument. The BTSI was administered to 113 full-time and part-time nursing faculty in three community college nursing programs. The response rate was 92% for full-time faculty (n = 58) and 61% for part-time faculty (n = 55). ^ The majority of participants supported a combined definition of critical thinking in nursing which represented a composite of thinking skills that included reflective thinking, assessing alternative viewpoints, and the use of problem-solving. Full-time and part-time faculty used different teaching strategies. Full-time faculty most often used multiple-choice exams and lecture while part-time faculty most frequently used discussion within their classes. One possible explanation for specific strategy choices and differences might be that full-time faculty taught predominately in theory classes where certain strategies would be more appropriate and part-time faculty taught predominately clinical classes. Both faculty types selected written nursing care plans as the second most effective critical thinking strategy. ^ Faculty identified several strategies as being effective in teaching critical thinking. These strategies included discussion, case studies, higher order questioning, and concept analysis. These however, were not always the strategies that were used in either the classroom or clinical setting. ^ Based on this study, the author recommends that if the profession continues to stress critical thinking as a vital component of practice, nursing faculty should receive education in appropriate critical teaching strategies. Both in-service seminars and workshops could be used to further the knowledge and use of critical thinking strategies by faculty. Qualitative research should be done to determine why nursing faculty use self-selected teaching strategies. ^