scholarly journals Discovering Geometric Inequalities: The Concourse of GeoGebra Discovery, Dynamic Coloring and Maple Tools

Mathematics ◽  
2021 ◽  
Vol 9 (20) ◽  
pp. 2548
Author(s):  
Tomás Recio ◽  
Rafael Losada ◽  
Zoltán Kovács ◽  
Carlos Ueno

Recently developed GeoGebra tools for the automated deduction and discovery of geometric statements combine in a unique way computational (real and complex) algebraic geometry algorithms and graphic features for the introduction and visualization of geometric statements. In our paper we will explore the capabilities and limitations of these new tools, through the case study of a classic geometric inequality, showing how to overcome, by means of a double approach, the difficulties that might arise attempting to ‘discover’ it automatically. On the one hand, through the introduction of the dynamic color scanning method, which allows to visualize on GeoGebra the set of real solutions of a given equation and to shed light on its geometry. On the other hand, via a symbolic computation approach which currently requires the (tricky) use of a variety of real geometry concepts (determining the real roots of a bivariate polynomial p(x,y) by reducing it to a univariate case through discriminants and Sturm sequences, etc.), which leads to a complete resolution of the initial problem. As the algorithmic basis for both instruments (scanning, real solving) are already internally available in GeoGebra (e.g., via the Tarski package), we conclude proposing the development and merging of such features in the future progress of GeoGebra automated reasoning tools.

Author(s):  
Emmeline Gyselinck ◽  
Timothy Colleman

This paper focuses on the intensifying use of the fake reflexive resultative construction,as demonstrated in the example Hij lacht zich een breuk om die mop (tit. 'He laughs himselfa fracture because of that joke'). Although the literal use of the (English) fake reflexiveresultative construction has been the subject of several studies, scant attention hasbeen paid to the potential of this construction for conveying an intensifying meaning,though these intensifying uses show an intriguing mix of productivity and lexical idiosyncrasythat deserves careful analysis. This case study will zoom in on the use of theintensifying fake reflexive resultative construction in present-day Belgian and NetherlandicDutch. The analysis will reveal some discrepancies between two national variants ofDutch and shed light on the development of subschemas displaying various degrees ofproductivity on the one hand and the possible lexicalisation of strong combinations on theother.


2017 ◽  
Vol 12 (1) ◽  
pp. 64-75
Author(s):  
Zehavit Gross

This paper aims to explore how Palestinian Arab and Jewish university students in Israel, attending a course on conflict resolution, deal with their stereotypical views of the Other and their prejudices, as well as their complex emotions of fear, hate, anxiety, and love during a period of tension and violence. On the one hand, they have a natural desire for professional partnership and friendship with their fellow students. On the other hand, they are attending this class in a Jewish university, in the heart of the Middle East, where acts of terrorism occur almost daily. This violence changes the power structure and the dynamics of their mutual relationships. Through an analysis of a specific case study the paper aims to shed light on how bridging theory and practice can generate a better understanding of complex situations, enabling reflection and developing signposts to improve coping mechanisms within peace education frameworks in times of terror.


Author(s):  
María Francisca García Alcázar ◽  
María Ángeles Martín Romera

El presente artículo aborda el estudio de los continos reales incidiendo tanto en su carácter de oficio regio, como elemento clave para entender el desarrollo de la figura del oficial en la época premoderna, como en el valor que el cargo tuvo en las estrategias familiares y personales de aquellos que lo ejercieron. Para ello se combina la visión conjunta del reino que proporcionan los archivos reales con un estudio concreto de la oligarquía de Valladolid. Este último estudio se apoya a su vez en un doble enfoque: por un lado la prosopografía de las élites vallisoletanas y, por otro, el análisis de sus redes sociales. El resultado es una aproximación a la integración real de estos servidores regios en la sociedad local que permite comprender el papel que este cargo pudo tener en sus trayectorias personales, así como el interés de los monarcas por nombrar como continos a determinados individuos. Como oficio, su flexibilidad e indefinición permitía variar los servicios y condiciones en función de las necesidades tanto de la monarquía como de los sujetos implicados.AbstractThis article analyses the royal continos by addressing both the nature of the  office as a key element in the development of officialdom in the pre-Modern era, and the way in which holding the position of contino affected personal and family strategies. This study includes a global perspective on continos in the kingdom by exploring royal documentation, as well as a case study of the oligarchy of Valladolid. This specific case is based on a double approach: on the one hand, the prosopography of urban elites, and on the other hand, the analysis of their social networks. As a result, it combines an analysis of the impact of the office on these royal servants’ personal trajectories and integration in a local context, as well as the king’s rationality behind the appointment of these officials. The contino office was particularly flexible and its indefinite nature allowed a degree of variability in the service and conditions based on the needs both of the monarchy and of those individuals involved.


2017 ◽  
Vol 71 (3) ◽  
pp. 811-831
Author(s):  
Lale Behzadi

AbstractThis article links classifying activities to practices of emotion. Re-reading al-Tanūkhī’s collectional-Faraj baʿd al-shidda(“Deliverance after hardship”), it focuses on the arrangement of the book on the one hand, and on how the involved emotions are handled on the other. This double approach suggests that by connecting the fields “order” and “emotion” the scope of knowledge with regard to the Arabic scholarly tradition can be reviewed and extended. Against the background of the widespread impulse to arrange and classify, the emotional spectrum is given a framework which generalizes, even rationalizes, the feeling itself. In turn, emotional representations in the stories shed light onto the fragile mechanisms of encyclopedic presuppositions and on definitions in general. Since both concepts are affected and shaped by narrative structures, story-telling can be considered as a significant means of structuring the world.


2017 ◽  
Vol 6 (2) ◽  
pp. 121 ◽  
Author(s):  
Renato Camodeca ◽  
Alex Almici

The purpose of this paper is to explore the change experienced by the Italian listed companies through the implementation of integrating reporting. The objective of this study is to shed light on the company’s moving reasons towards integrating reporting and on its effects on the company’s thinking approach.This paper builds on multi-source data gathered through web-site visits, company materials and interviews, according to an interpretive case study approach.The authors found that the process of change experienced by the selected companies deserves consideration for at least two reasons: on the one hand, as a transition from a stand alone to an integrated thinking approach; on the other hand, as a transition from an implicit to a more explicit approach to sustainability.The paper is, to the best of the knowledge, the first one to explore the process of change experienced by the Italian listed companies through the implementation of integrated reporting.


Author(s):  
Asuncion Fresnoza-Flot

Studies on the marital break-up of “mixed couples” in which partners have different nationalities and/or ethnicities pay little attention to how individual partners, notably the one with a migration background, experience the law and institutions concerning their children. Drawing on ethnographic observations and interviews with Filipino women in Belgium and the Netherlands, this paper investigates these migrants’ socio-legal experiences to shed light on their children’s situation during the divorce process. Paying attention to the principle of the “best interests of the child”, data analyses reveal that the children of women experiencing problematic divorce and/or domestic violence have more direct encounters with laws and/or institutions than those whose parents separated on good terms. Likewise, young people whose parent(s) resort to socio-legal assistance in their country of residence are more exposed to the legal aspects of divorce. This case study underlines the intersubjective dimension of divorce and suggests that state policies do shape individual lives.


2018 ◽  
Vol 18 (1) ◽  
pp. 46-54
Author(s):  
Irmala Sukendra ◽  
Agus Mulyana ◽  
Imam Sudarmaji

Regardless to the facts that English is being taught to Indonesian students starting from early age, many Indonesian thrive in learning English. They find it quite troublesome for some to acquire the language especially to the level of communicative competence. Although Krashen (1982:10) states that “language acquirers are not usually aware of the fact that they are acquiring language, but are only aware of the fact that they are using the language for communication”, second language acquisition has several obstacles for learners to face and yet the successfulness of mastering the language never surmounts to the one of the native speakers. Learners have never been able to acquire the language as any native speakers do. Mistakes are made and inter-language is unavoidable. McNeili in Ellis (1985, p. 44) mentions that “the mentalist views of L1 acquisition hypothesizes the process of acquisition consists of hypothesis-testing, by which means the grammar of the learner’s mother tongue is related to the principles of the ‘universal grammar’.” Thus this study intends to find out whether the students go through the phase of interlanguage in their attempt to acquire second language and whether their interlanguage forms similar system as postulated by linguists (Krashen).


2018 ◽  
Vol 59 (1) ◽  
pp. 65-79
Author(s):  
Katarzyna Nikorowicz-Zatorska

Abstract The present paper focuses on spatial management regulations in order to carry out investment in the field of airport facilities. The construction, upgrades, and maintenance of airports falls within the area of responsibility of local authorities. This task poses a great challenge in terms of organisation and finances. On the one hand, an active airport is a municipal landmark and drives local economic, social and cultural development, and on the other, the scale of investment often exceeds the capabilities of local authorities. The immediate environment of the airport determines its final use and prosperity. The objective of the paper is to review legislation that affects airports and the surrounding communities. The process of urban planning in Lodz and surrounding areas will be presented as a background to the problem of land use management in the vicinity of the airport. This paper seeks to address the following questions: if and how airports have affected urban planning in Lodz, does the land use around the airport prevent the development of Lodz Airport, and how has the situation changed over the time? It can be assumed that as a result of lack of experience, land resources and size of investments on one hand and legislative dissonance and peculiar practices on the other, aviation infrastructure in Lodz is designed to meet temporary needs and is characterised by achieving short-term goals. Cyclical problems are solved in an intermittent manner and involve all the municipal resources, so there’s little left to secure long-term investments.


2011 ◽  
Vol 1 (3) ◽  
pp. 34-66
Author(s):  
Joyce Valdovinos

The provision of water services has traditionally been considered a responsibility of the state. During the late 1980s, the private sector emerged as a key actor in the provision of public services. Mexico City was no exception to this trend and public authorities awarded service contracts to four private consortia in 1993. Through consideration of this case study, two main questions arise: First, why do public authorities establish partnerships with the private sector? Second, what are the implications of these partnerships for water governance? This article focuses, on the one hand, on the conceptual debate of water as a public and/or private good, while identifying new trends and strategies carried out by private operators. On the other hand, it analyzes the role of the state and its relationships with other actors through a governance model characterized by partnerships and multilevel networks.Spanish La provisión del servicio del agua ha sido tradicionalmente considerada como una responsabilidad del Estado. A finales de la década de 1980, el sector privado emerge como un actor clave en el suministro de servicios públicos. La ciudad de México no escapa a esta tendencia y en 1993 las autoridades públicas firman contratos de servicios con cuatro consorcios privados. A través de este estudio de caso, dos preguntas son planteadas: ¿Por qué las autoridades públicas establecen partenariados con el sector privado? ¿Cuáles son las implicaciones de dichos partenariados en la gobernanza del agua? Este artículo aborda por una parte, el debate conceptual del agua como bien público y/o privado, identificando nuevas tendencias y estrategias de los operadores privados. Por otra parte, se analizan el rol y las relaciones del Estado con otros actores a través de un modelo de gobernanza, definido en términos de partenariados y redes multi-niveles.French Les services de l'eau ont été traditionnellement considérés comme une responsabilité de l'État. À la fin des années 1980, le secteur privé est apparu comme un acteur clé dans la fourniture de certains services publics. La ville de Mexico n'a pas échappé à cette tendance et en 1993, les autorités publiques ont signé des contrats de services avec quatre consortiums privés. À travers cette étude de cas, nous nous interrogerons sur deux aspects : pourquoi les autorités publiques établissentelles des partenariats avec le secteur privé ? Quelles sont les implications de ces partenariats sur la gouvernance de l'eau ? Cet article s'intéresse, d'une part, au débat conceptuel sur l'eau en tant que bien public et/ou privé, en identifiant les tendances nouvelles et les stratégies menées par les opérateurs privés. D'autre part y sont analysés le rôle de l'État et ses relations avec d'autres acteurs à travers un modèle de gouvernance, défini en termes de partenariats, et des réseaux multi-niveaux.


2018 ◽  
Vol 69 (8) ◽  
Author(s):  
Doina Vesa ◽  
Cristian Martu ◽  
Razvan Leata ◽  
Ludmila Lozneanu ◽  
luminita Radulescu ◽  
...  

Paranasal mucoceles are a type of cysts that evolve slowly and are asymptomatic; this poses a difficulty in diagnosing the patient because the symptoms can go unnoticed. The mucocele evolves unpredictably. On the one hand, it can become infected turning into pyoceles and on the other hand, it can invade important regions such as the orbital, cranial or genian regions, creating facial asymmetry. This is a retrospective case study of 37 patients diagnosed with sinus mucoceles, followed up by clinical examination and paraclinical tests such as CT and MRI scans. The biochemical components of the liquid from within the mucocele were analyzed and the following criteria were recorded: NaCl-, Cl-, Na+ and cholesterine as well as cellular components such as mastocytes, macrophages, hematocytes and leucocytes. In all cases, the treatment option was surgery with favorable post-operative and follow-up evaluation. The mucoceles that appeared post-operatively (maxillary and ethmoid sinuses) evolved more rapidly than the mucoceles that were induced byan external injury. Longer follow-up of operated patients permitted a more timely diagnosis of recurrences.


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