A difícil aceitação dos números negativos: um estudo da teoria dos números de Peter Barlow (1776-1862)

The present study seeks to present a historico-epistemological analysis of the development of the mathematical concept of negative number. In order to do so, we analyzed the different forms and conditions of the construction of mathematical knowledge in different mathematical communities and, thus, identified the characteristics in the establishment of this concept. By understanding the historically constructed barriers, especially, the ones having ontologicas significant, that made the concept of negative number incompatible with that of natural number, thereby hindering the development of the concept of negative, we were able to sketch the reasons for the rejection of negative numbers by the English author Peter Barlow (1776 -1862) in his An Elementary Investigation of the Theory of Numbers, published in 1811. We also show the continuity of his difficulties with the treatment of negative numbers in the middle of the nineteenth century

Kontraszelekció és erkölcsi kockázat a politikában. Vázlat az információs aszimmetria közgazdaságtani fogalmainak politikatudományi alkalmazhatóságáról (Negative selection and moral risk in politics. An outline of the usefulness to political science of the economic concept of information asymmetry)

Az írás a kontraszelekció és az erkölcsi kockázat információ-gazdaságtani fogalmának politikatudományi alkalmazhatósága mellett érvel. Azt kívánja bemutatni, hogy a politikai piac szereplői közti információs aszimmetria mechanizmusainak éppúgy lehetnek súlyos negatív hatásai a demokratikus politikai rendszer működésére nézve, mint ahogy a gazdasági szereplők közti információs aszimmetria - Nobel-díjas közgazdászok érvei szerint - alááshatja a piaci verseny hatékonyságát. Az írás új megvilágításba helyezi a - már Platón óta ismert - politikai kontraszelekció jelenségét, továbbá részletesen foglalkozik az erkölcsi kockázat és a megbízó-megbízott relációk megjelenésével a politikában. Érinti tovább azoknak a mechanizmusoknak - a jelzésnek és a szűrésnek - a megjelenését a politikában, melyeket a közgazdászok az információs aszimmetria csökkentésére ajánlanak. / === / The paper argues in favour of employing in political science the economic concept of information asymmetry, seeking to show that the mechanisms of information asymmetry among the players on the political market may have negative effects on the operation of a democratic political system as information asymmetry among economic actors – according to arguments of Nobel prize-winning economists – has on the efficiency of market competition. The paper sheds new light on the phenomenon of negative political selection (known since Plato's time), and goes on to deal in detail with the appearance of moral risk and client/agent relations in politics. The author touches also on the appearance in politics of mechanisms – signals and filters – that economists suggest for reducing information asymmetry.

Chinese Men and "Leftover Women" : How do Chinese Men Position Themselves in Relation to the Concept of Labelling Women as "Leftover"?

In recent years there has been a resurgence of gender inequality in China. Today, women are pressured to get married by the state and their social surroundings, as they told if they remain unmarried and have the "three highs"; high age, education and salary, they will become leftovers on the marriage market. Previous research on the concept of labelling women as "leftover" has 4 shown that labelling women as "leftover" can have several different negative impacts. In this thesis, both the theory of masculine hegemony and the theory of symbolic interaction have been used. The concept creates a hegemonic masculinity as it is a normative practice that promotes the subordination of women. However, as the concept is based on the notion that all Chinese men, or at least those of relevant social standing, would find the "three highs" undesirable, it is relevant to see how Chinese men in fact do position themselves in relation to the hegemonic masculinity on an individual level. In symbolic interaction, the concept of gender is created through social construction when people attach special meanings to the sex of a person, a process which is called "doing gender". Therefore symbolic interaction is used to see what special meaning Chinese men attach to women having the "three highs" and masculine hegemony to put their answers into a larger context. If it could be shown that Chinese men do not comply with the hegemonic masculinity, Chinese women would not have to feel obliged to adjust to the hegemonic masculinity and thereby making it easier for them to pursue higher education, high paying jobs and marrying at a later age. However, as this thesis is a qualitative study, and therefore a limited number of data subjects, the generalizability of the result should not be exaggerated. The interviews that were conducted for this thesis showed that the data subjects were familiar with the concept and that they considered it to be natural for there to be women China labelled as "leftover". Nevertheless, in relation to their own marital choices, the data subjects did not attach the negative meaning as set out by the hegemonic masculinity, a result which to some extent was confirmed by the data subjects’ experiences and other control questions. The result is interesting, and enforces Connell and MesserSchmidt’s theory, that even though a hegemonic masculinity is normative, not everyone has to comply with it. As the cornerstone of the concept is that Chinese men find women with the "three highs" undesirable, the result of the study shows that there is a need for the concept to be further examined and questioned.

A visual description of early-number counting, addition and subtraction knowledge

Early-number is a rich fabric of interconnected ideas that is often misunderstood and thus taught in ways that do not lead to rich understanding. In this presentation, a visual language is used to describe the organisation of this domain of knowledge. This visual language is based upon Piaget’s notion of reflective abstraction (Dubinsky, 1991; Piaget, 1977/2001), and thus captures the epistemological associations that link the problems, concepts and representations of the domain. The constructs of this visual language are introduced and then applied to the early-number domain. The introduction to this visual language may prompt reflection upon its suitability and significance to the description of other domains of knowledge. Through such a process of analysis and description, the visual language may serve as a scaffold for enhancing pedagogical content knowledge and thus ultimately improve learning outcomes.

Investigating the deployment of project management : a new perspective based on the concept of certification

Purpose – The purpose of this paper is to provide a summary description of the doctoral thesis investigating the field of project management (PM) deployment. Researchers will be informed of the current contributions within this topic and of the possible further investigations and researches. The decision makers and practitioners will be aware of a set of tools addressing the PM deployment with new perspectives. Design/methodology/approach – Research undertaken with the thesis is based on quantitative methods using time series statistics (time distance analysis) and comparative and correlation analysis aimed to better define and understand the PM deployment within and between countries or groups. Findings – The results suggest a project management deployment index (PMDI) to objectively measure the PM deployment based on the concept of certification. A proposed framework to empirically benchmark the PM deployment between countries by integrating the PMDI time series with the two dimensional comparative analysis of Sicherl. The correlation analysis within Hoftsede cultural framework shows the impact of the national culture dimensions on the PM deployment. The forecasting model shows a general continual growth trend of the PM deployment, with continual increase in the time distance between the countries. Research limitations/implications – The PM researchers are offered an empirical quantification on which they can construct further investigations and understanding of this phenomenon. The number of possible units that can be studied offers wide possibilities to replicate the thesis work. New researches can be undertaken to investigate further the contribution of other social or economical indicators, or to refine and enrich the definition of the PMDI indicator. Practical implications – These results have important implications on the PM deployment approaches. The PMDI measurements and time series comparisons facilitate considerably the measurement and benchmarking between the units (e.g. countries) and against targets, while the readiness setting of the studied unit (in terms of development and cultural levels) impacts the PM deployment within this country. Originality/value – This paper provides a summary of cutting-edge research work in the studied field of PM deployment and a link to the published works that researchers can use to help them understand the thesis research as well as how it can be extended.

ICANN and the concept of democratic deficit

The Internet Corporation for Assigned Names and Numbers (ICANN) is an institution besieged. It has endeavored to be democratic but its attempts to do so have been disastrous. The typical explanation for this is that the problem is with ICANN: it fails to meet its democratic obligations. My view is that the problem is with our understanding of "democracy." Democracy is an empty concept that fails to describe few, if any, of our genuine political commitments. In the real world, the failings inherent in "democracy" have been papered over by some unusual characteristics of the physical political process. However, in online trans-national institutions like ICANN, democracy is exposed as a poor substitute for a number of other conceptions of our political commitments. This Article seeks to articulate these political commitments and to explain why democracy and ICANN are such a poor mix. It begins by charting the rise of ICANN and its attempts to be democratic. It then explains why democracy is an empty shell of a concept. It then explores some features of democracy and ICANN, explaining why the online world exposes limitations in implications of democracy such as the nature of the demos, the idea of constituencies, direct democracy, voting, and the like. It concludes that ICANN's example demonstrates that democracy is in fact anything but a coherent general theory of political action. We need to consider, then, whether we should continue to berate ICANN for its undemocratic actions.

The Development of the Concept of Music Education in Estonian Kindergartens, 1905-2008 : a Historical–Critical Overview

The dissertation focuses on the development of music education in Estonian kindergartens and the factors influencing it, analysed in the historical perspective relying on post-positivist paradigm. The study is based on the factors and subjects’ views on kindergarten music education from 1905 to 2008, recorded in written sources or ascertained by means of questionnaire and interview. The dissertation deals with music’s functions, music education in retrospective, factors influencing child’s musical aptitude and development and teacher’s role in it through the prism of history. The formation of Estonian kindergarten music education and the phenomenon of its development have been researched by stages: the first manifestations of music in kindergarten in 1905 - 1940; the formation of the concept of music education in 1941 - 1967 and the application of a unified system in 1968 - 1990. The work also outlines innovative trends in music education at the end of the last millennium and the beginning of this century, in 1991 - 2008. The study relies on a combined design and an analysis of historical archival material and empirical data. The empirical part of the study is based on the questionnaire (n=183) and interviews (n=18) carried out with kindergarten music teachers. The data has been analysed using both qualitative and quantitative methods. The subject of the research is the content and activity types of kindergarten music education and the role of music teacher in their implementation. The study confirmed that fundamental changes took place in Estonian kindergarten music education due to the change in political power in the 1940s. Following the example of the Soviet system of education, music in kindergarten became an independent music educational orientation and the position of a professionally trained music teacher was established (1947). It was also confirmed that in the newly independent Estonian Republic under the influence of innovative trends a new paradigm of music education arose from the traditional singing-centred education towards the more balanced use of music activity types (attaching importance to the child-centred approach, an increase in the number and variety of activity types). The most important conclusions made in the dissertation are that there has been improvement and development deriving from contemporary trends in the clear concept that has evolved in Estonian kindergarten music education over a century; professionally trained music teachers have had a crucial role in shaping it; and kindergarten music education is firmly positioned as a part of preschool education in Estonian system of education. Key words: early childhood music education, history of music education, kindergarten music education, early childhood music teachers

Disaggregative Clustering Using the Concept of Mutual Nearest Neighborhood

A nonparametric, hierarchical, disaggregative clustering algorithm is developed using a novel similarity measure, called the mutual neighborhood value (MNV), which takes into account the conventional nearest neighbor ranks of two samples with respect to each other. The algorithm is simple, noniterative, requires low storage, and needs no specification of the expected number of clusters. The algorithm appears very versatile as it is capable of discerning spherical and nonspherical clusters, linearly nonseparable clusters, clusters with unequal populations, and clusters with lowdensity bridges. Changing of the neighborhood size enables discernment of strong or weak patterns.

Defining the ‘modified Griffin plot’ in vortex-induced vibration: revealing the effect of Reynolds number using controlled damping

In the present work, we study the transverse vortex-induced vibrations of an elastically mounted rigid cylinder in a fluid flow. We employ a technique to accurately control the structural damping, enabling the system to take on both negative and positive damping. This permits a systematic study of the effects of system mass and damping on the peak vibration response. Previous experiments over the last 30 years indicate a large scatter in peak-amplitude data ($A^*$) versus the product of mass–damping ($\alpha$), in the so-called ‘Griffin plot’. A principal result in the present work is the discovery that the data collapse very well if one takes into account the effect of Reynolds number ($\mbox{\textit{Re}}$), as an extra parameter in a modified Griffin plot. Peak amplitudes corresponding to zero damping ($A^*_{{\alpha}{=}0}$), for a compilation of experiments over a wide range of $\mbox{\textit{Re}}\,{=}\,500-33000$, are very well represented by the functional form $A^*_{\alpha{=}0} \,{=}\, f(\mbox{\textit{Re}}) \,{=}\, \log(0.41\,\mbox{\textit{Re}}^{0.36}$). For a given $\mbox{\textit{Re}}$, the amplitude $A^*$ appears to be proportional to a function of mass–damping, $A^*\propto g(\alpha)$, which is a similar function over all $\mbox{\textit{Re}}$. A good best-fit for a wide range of mass–damping and Reynolds number is thus given by the following simple expression, where $A^*\,{=}\, g(\alpha)\,f(\mbox{\textit{Re}})$: \[ A^* \,{=}\,(1 - 1.12\,\alpha + 0.30\,\alpha^2)\,\log (0.41\,\mbox{\textit{Re}}^{0.36}). \] In essence, by using a renormalized parameter, which we define as the ‘modified amplitude’, $A^*_M\,{=}\,A^*/A^*_{\alpha{=}0}$, the previously scattered data collapse very well onto a single curve, $g(\alpha)$, on what we refer to as the ‘modified Griffin plot’. There has also been much debate over the last three decades concerning the validity of using the product of mass and damping (such as $\alpha$) in these problems. Our results indicate that the combined mass–damping parameter ($\alpha$) does indeed collapse peak-amplitude data well, at a given $\mbox{\textit{Re}}$, independent of the precise mass and damping values, for mass ratios down to $m^*\,{=}\,1$.

Generalization of Response Number for Dynamic Plastic Response of Shells Subjected to impulsive Loading

A dimensionless number, termed as response number in Zhao [Archive of Applied Mechanics 68 (1998) 524], has been suggested for the dynamic plastic response of beams and plates made up of rigidly perfect plastic materials subjected to dynamic loading. Many theoretical and experimental results can be reformulated into new concise forms with the response number. The concept of a new dimensionless number, response number, termed as Rn(n), is generalized in Zhao [Forschung im Ingenieurwesen 65 (1999) 107] to study the elastic, plastic, dynamic elastic as well as dynamic plastic buckling problems of columns, plates as well as shells. The response number Rn(n) is generalized to the dynamic behaviour of shells of various shapes in the present paper.

Environmental judgment in early childhood and its relationship with the understanding of the concept of living beings

The evidence collected concerning the biocentric judgment that young children express when evaluating human actions on the environment leads some scholars to suggest that an essential understanding of the notion of living beings should appear earlier than previously believed. This research project aims to study that assumption. To this end, young children’s choice when they are put in situation of having to compare and choose the most negative option between environmentally harmful actions and the breaking of social conventions are examined. Afterwards, the results are categorized in relation to those obtained from the study of children’s grasp of the distinction between living beings and inanimate entities. The data is analysed according to the individuals’ age and overall, it suggests a lack of relationship between environmental judgment and the understanding of the concept of living beings. The final results are discussed in keeping with recent research in the field of moral development that underscores the role that unconscious emotional processing plays in the individual’s normative judgment.

Experimental Demonstration Of A New Concept Of Drag Reduction And Thermal Protection For Hypersonic Vehicles

A new idea of drag reduction and thermal protection for hypersonic vehicles is proposed based on the combination of a physical spike and lateral jets for shock-reconstruction. The spike recasts the bow shock in front of a blunt body into a conical shock, and the lateral jets work to protect the spike tip from overheating and to push the conical shock away from the blunt body when a pitching angle exists during flight. Experiments are conducted in a hypersonic wind tunnel at a nominal Mach number of 6. It is demonstrated that the shock/shock interaction on the blunt body is avoided due to injection and the peak pressure at the reattachment point is reduced by 70% under a 4A degrees attack angle.

A New Concept of Interprofessional Education in Planning Programmes: Reflections on Healthy Urban Planning Project

Although widely debated, some of the defining professional characteristics of planners appear to be competencies in co-ordination, mediation and multidisciplinary working. Despite this, there is little pedagogical reflection on how interprofessional skills are promoted in planning programmes. This paper reflects on the experience of bringing together undergraduate students from medicine and planning to explore the concept of Healthy Urban Planning in a real life context of an urban motorway extension. This reveals a number of unexpected outcomes of such collaboration and points to the value of promoting interprofessional education, both as a way of increasing interest in some of the key challenges now facing society and in order to induce greater professional reflection amongst our students.

A New Concept of Interprofessional Education in Planning Programmes: Reflections on a Healthy Urban Planning Project

Although widely debated, some of the defining professional characteristics of planners appear to be competencies in co-ordination, mediation and multidisciplinary working. Despite this, there is little pedagogical reflection on how interprofessional skills are promoted in planning programmes. This paper reflects on the experience of bringing together undergraduate students from medicine and planning to explore the concept of Healthy Urban Planning in a real life context of an urban motorway extension. This reveals a number of unexpected outcomes of such collaboration and points to the value of promoting interprofessional education, both as a way of increasing interest in some of the key challenges now facing society and in order to induce greater professional reflection amongst students.

Body Mass Index Is More Predictive of Progenitor Number in Bone Marrow Stromal Cell Population Than Age in Men: Expanding the Predictors of the Progenitor Compartment

Research has focused on in vitro expansion of bone marrow stromal cells with the aim of developing cell-based therapies or tissue-engineered constructs. There is debate over whether there is a reduction in stem cells/osteoprogenitors in the bone marrow compartment with increasing age. The aim of this study was to investigate patient factors that affect the progenitor pool in bone marrow samples. Six milliliters of marrow aspirate was obtained from the femoral canal of 38 primary hip replacement patients (aged 28-91). Outcome measures were total nucleated cell count, colony-forming efficiency, alkaline phosphatase expression, and expression of stem cell markers. There was a nonsignificant negative correlation between age and both colony-forming efficiency and stem cell marker expression. However, body mass index showed a positive, significant correlation with colony area and number in men-accounting for up to 75% of the variation. In conclusion, body mass index, not age, was highly predictive of the number of progenitors found in bone marrow, and this relationship was sex specific. These results may inform the clinician's treatment choice when considering bone marrow-based therapies. Further, it highlights the need to widen research into patient factors that affect the adult stem cell population beyond age and reinforces the need to consider sexes separately.