The number concept : its origin and development /

Includes bibliographical references and indexes.

Number : a link between divine intelligence and human. An argument /

Mode of access: Internet.

q-Analog of the gap equation for cuprates

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Conceito de número: uma contribuição da análise comportamental da cognição

Fundamenta-se o presente estudo na análise comportamental da cognição, cujas formulações permitem compreender o conceito de número como uma rede de relações entre estímulos e/ou entre estímulos e respostas. O desempenho de seis crianças de três a sete anos de idade e uma adolescente portadora da Síndrome de Down foi analisado em uma série de tarefas consideradas pré-requisitos para aprendizagens matemáticas mais complexas. Para isso, foi utilizada uma versão informatizada do procedimento de discriminação condicional em um contexto de matching to sample. As relações presentes, ausentes e as não bem estabelecidas no repertório dos sujeitos foram graficamente representadas em diagramas que configuram-se como que retratos do repertório individual. Tal recurso facilita o planejamento do ensino estratégico de umas poucas relações com vistas à emergência das relações ausentes e/ou o fortalecimento daquelas nas quais o sujeito apresenta desempenho pobre, de modo a completar a rede. A guisa de conjeturas, apresentam-se sugestões de intervenção.

A noção de função em Frege

Pós-graduação em Educação Matemática - IGCE

Uma proposta para utilização do computador no processo de ensino e aprendizagem dos primeiros números do sistema hindu-arábico

The aim of this work is presenting the development and the results of a research, which focus of interest has been the making of softwares that could help the process of teaching and learning of the hindu-arabic numerals system, on children in the alphabetical stage. Since the most important presupposes to this work are the development of the number concept according to Jean Piaget (1986-1980) and the reality of the classroom, then three different moments have been fixed: the creation of a beginning scheme of computer activities; the aplication of these activities on children in the alphabetical stage; and, finally, an analysis of the limits and possibilities of these activities while an environment cause of actions that would benefit the process of teaching and learning of the mentioned content. Finally, based on the anlysis of the results obtained, the next step was fixing a more consistant set of computer activities, which makes up a proposal to the use of computer in the process of teaching and learning of the first hindu-arabic numbers

Design concept evaluation based on rough number and information entropy theory

Concept evaluation at the early phase of product development plays a crucial role in new product development. It determines the direction of the subsequent design activities. However, the evaluation information at this stage mainly comes from experts' judgments, which is subjective and imprecise. How to manage the subjectivity to reduce the evaluation bias is a big challenge in design concept evaluation. This paper proposes a comprehensive evaluation method which combines information entropy theory and rough number. Rough number is first presented to aggregate individual judgments and priorities and to manipulate the vagueness under a group decision-making environment. A rough number based information entropy method is proposed to determine the relative weights of evaluation criteria. The composite performance values based on rough number are then calculated to rank the candidate design concepts. The results from a practical case study on the concept evaluation of an industrial robot design show that the integrated evaluation model can effectively strengthen the objectivity across the decision-making processes.

Effective coordination concept applied for phase change (GeTe)(m)(Sb(2)Te(3))(n) compounds

In this work, we employed the effective coordination concept to study the local environments of the Ge, Sb, and Te atoms in the Ge(m)Sb(2n)Te(m+3n) compounds. From our calculations and analysis, we found an average effective coordination number (ECN) reduction of 1.59, 1.42, and 1.37, for the Ge, Sb, Te atoms in the phase transition from crystalline, ECN=5.55 (Ge), 5.73 (Sb), 4.37 (Te), to the amorphous phase, ECN=3.96 (Ge), 4.31 (Sb), 3.09 (Te), for the Ge(2)Sb(2)Te(5) composition. Similar changes are observed for other compositions. Thus, our results indicate that the coordination changes from the crystalline to amorphous phase are not large as previously assumed in the literature, i.e., from sixfold to fourfold for Ge, which can contribute to obtain a better understanding of the crystalline to amorphous phase transition. (C) 2011 American Institute of Physics. [doi:10.1063/1.3533422]

How to be a chaste species pluralist-realist: the origins of species modes and the synapomorphic species concept

The biological species (biospecies) concept applies only to sexually reproducing species, which means that until sexual reproduction evolved, there were no biospecies. On the universal tree of life, biospecies concepts therefore apply only to a relatively small number of clades, notably plants and animals. I argue that it is useful to treat the various ways of being a species (species modes) as traits of clades. By extension from biospecies to the other concepts intended to capture the natural realities of what keeps taxa distinct, we can treat other modes as traits also, and so come to understand that the plurality of species concepts reflects the biological realities of monophyletic groups. We should expect that specialists in different organisms will tend to favour those concepts that best represent the intrinsic mechanisms that keep taxa distinct in their clades. I will address the question whether modes of reproduction such as asexual and sexual reproduction are natural classes, given that they are paraphyletic in most clades.

Reducing the number of membership functions in linguistic variables

Dissertation presented at Universidade Nova de Lisboa, Faculdade de Ciências e Tecnologia in fulfilment of the requirements for the Masters degree in Mathematics and Applications, specialization in Actuarial Sciences, Statistics and Operations Research

Study of the of the concept of community buildings and its importance for land use efficiency

Nowadays cities are facing several environmental problems due to the population migration to urban areas, which is causing urban sprawl. This way, it is very important to define solutions to improve Land Use Efficiency (LUE). This article proposes the use of community buildings features as a solution to increase land use efficiency. Community buildings consider the design of shared building spaces to reduce the floor area of buildings. This work tests the performance of some case-study buildings regarding LUE to analyse its possible pros and cons. A quantifiable method is used to assess buildingsâ LUE, which considers the number of occupants, the gross floor area, the functional area, the implantation area and the allotment area. Buildings with higher values for this index have reduced environmental impacts because they use less construction materials, produce less construction and demolition wastes and require less energy for building operation. The results showed that the use of community building features can increase Land Use Efficiency of buildings.

The average crossing number of equilateral random polygons.

In this paper, we study the average crossing number of equilateral random walks and polygons. We show that the mean average crossing number ACN of all equilateral random walks of length n is of the form . A similar result holds for equilateral random polygons. These results are confirmed by our numerical studies. Furthermore, our numerical studies indicate that when random polygons of length n are divided into individual knot types, the for each knot type can be described by a function of the form where a, b and c are constants depending on and n0 is the minimal number of segments required to form . The profiles diverge from each other, with more complex knots showing higher than less complex knots. Moreover, the profiles intersect with the ACN profile of all closed walks. These points of intersection define the equilibrium length of , i.e., the chain length at which a statistical ensemble of configurations with given knot type -upon cutting, equilibration and reclosure to a new knot type -does not show a tendency to increase or decrease . This concept of equilibrium length seems to be universal, and applies also to other length-dependent observables for random knots, such as the mean radius of gyration Rg.

Transitoriness - a concept

Background: The realization of life's transitory nature, i.e., 'transitoriness', is an experience that patients who arediagnosed with cancer may have. Transitoriness constitutesa challenging situation for cancer patients, theirrelatives, and healthcare professionals. Although issuesregarding life's finitude and associated outcomes havebeen described in related concepts such as deathawareness, the concept of transitoriness remains vague.This paper will present attributes, outcomes, and antecedentsof this concept.Review methods: Rodgers' (2000) evolutionary conceptanalysis was utilized to explore the concept of 'transitoriness',which requires the review of at least 20% of theidentified relevant publications. A total of 239 articles wereidentified as being relevant. Of this total number, 27% (66articles) were selected, reviewed and analyzed.Findings: Three main themes emerged that describe theconcept of 'transitoriness'. They were 'awareness oflife's finitude', 'anxiety' and 'change'. On the one hand,the confrontation with life's finitude provokes existentialfear and anxiety in the person. On the other hand,persons have the possibility of re-assessing their lifesituation. Thus, they can identify and explore newavenues for coping.Conclusion and clinical relevance: The identification ofthe attributes of 'transitoriness', i.e., awareness, anxiety,and change, will help clinicians to better understand cancerpatients' experience of their illness situation. It will also bepossible to better support cancer patients in their copingprocess. Research that can foster the development ofinterventions that can enhance patients' healthcare experiencewill be promoted.

On the concept of optimality interval

The approximants to regular continued fractions constitute `best approximations' to the numbers they converge to in two ways known as of the first and the second kind.This property of continued fractions provides a solution to Gosper's problem of the batting average: if the batting average of a baseball player is 0.334, what is the minimum number of times he has been at bat? In this paper, we tackle somehow the inverse question: given a rational number P/Q, what is the set of all numbers for which P/Q is a `best approximation' of one or the other kind? We prove that inboth cases these `Optimality Sets' are intervals and we give aprecise description of their endpoints.

Concept de first responders en Suisse romande: état des lieux et perspectives [Concept of first responders in Western Switzerland: current situation and future perspectives].

The notion of "First Responder" (FR) refers to the system of first-aid volunteers who act to initiate the first-aid care before the classical emergency help arrives. In 2011, the French-speaking Switzerland counts 19 groups, divided up between four cantons (Fribourg, Vaud, Neuchâtel, Valais). The geographical distribution of those FR shows the stakes of these peripherical areas, with the accessibility difficulties for the emergency services, and a low demography of ambulances and doctors. The number of interventions carried out by the FR has significantly increased during the last years. The association of a quality formation, an excellent knowledge of the ground and a quick intervention has a positive impact on the survival of the patients with vital emergency or traumatic conditions.