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31	Cônicas, álgebra linear e geogebra, uma combinação que deu certo / Conical, linear algebra and geogebra, a right combination Souza , Vitor Rodrigues Braga de 26 September 2014 (has links) Submitted by Luanna Matias (lua_matias@yahoo.com.br) on 2015-05-15T18:43:17Z No. of bitstreams: 2 Dissertação - Vitor Rodrigues Braga de Souza - 2014.pdf: 2674878 bytes, checksum: c37a3227405eafd0a6bcd6cdfe2ddf04 (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5) / Approved for entry into archive by Luanna Matias (lua_matias@yahoo.com.br) on 2015-05-15T19:28:34Z (GMT) No. of bitstreams: 2 Dissertação - Vitor Rodrigues Braga de Souza - 2014.pdf: 2674878 bytes, checksum: c37a3227405eafd0a6bcd6cdfe2ddf04 (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5) / Made available in DSpace on 2015-05-15T19:28:34Z (GMT). No. of bitstreams: 2 Dissertação - Vitor Rodrigues Braga de Souza - 2014.pdf: 2674878 bytes, checksum: c37a3227405eafd0a6bcd6cdfe2ddf04 (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5) Previous issue date: 2014-09-26 / In the rst part of this work, we present all conical with their cartesian equations and their graphs. Then, we made an approach to concepts of linear algebra, vector spaces, linear transformations, eigenvalues and eigenvectors in order to build matrices of linear transformations able to rotate, translate or even make these conical shear. Constructed matrices, GeoGebra software for constructing graphs obtained by transformation matrices were used. Besides this geometric part, we discuss the quadratic forms in order to identify a conic analyzing only the coe cients of its quadratic form and the eigenvalues. The end result was an excellent visual material built from software GeoGebra applying the concepts of Linear Algebra. We can not fail to mention that the construction of the taper in GeoGebra techniques that replace the ruler, compass and the string used by the ancient Greeks were implemented. / Na primeira parte desse trabalho, apresentamos todas as cônicas com suas respectivas equações cartesianas e seus respectivos grá cos. Em seguida, zemos uma abordagem de conceitos de Álgebra Linear, espaços vetoriais, transformações lineares, autovalores e autovetores a m de, construir as matrizes de transformações lineares capazes de rotacionar, transladar ou até fazer o cisalhamento destas cônicas. Construídas as matrizes, foi utilizado o software GeoGebra para a construção dos grá cos obtidos pelas matrizes de transformação. Além dessa parte geométrica, abordamos as formas quadráticas no intuito de identi car uma cônica analisando apenas os coe cientes da sua forma quadrática e os autovalores associados. O resultado nal foi um excelente material visual construído a partir do software GeoGebra aplicando os conceitos de Álgebra Linear. Não podemos deixar de citar que foram implementadas técnicas de construção das cônicas no GeoGebra que substituem a régua, o compasso e o barbante utilizados pelos gregos antigos. Elipse Hipérbole Parábola Autovalores Autovetores Transformações lineares Matrizes de transformações lineares Geogebra Ellipse Hyperbola Parabola Eigenvalues Eigenvectors Linear transformations Matrices of linear transformations ALGEBRA::LOGICA MATEMATICA
32	Detaljstudie av tryckbrott i betongsliprar : Samband mellan tryckprovsresultat och val av dimensioneringsmetod / Detail study of compression failure in concrete sleepers : Correlation between pressure test results and choice of design method Bülow Angeling, Jenny, Wikell, Sebastian January 2016 (has links) En jämförelse av Abetongs beräkningsunderlag och statistik från tryckprov visar att sliprarna klarar mycket mer belastning än vad beräkningarna visar. I den här studien har en utvärdering av använda beräkningsmetoder gjorts, samt en jämförelse mellan olika dimensioneringsprinciper för att komma så nära resultaten vid tryckprov som möjligt. Beräkningar med förenklat tryckblock och idealiserad-rektangulär parabolisk arbetskurva visade att det senare alternativet gav ett något högre värde på sliprarnas momentkapacitet, men förändringen förklarade inte varför den verkliga momentkapaciteten är så mycket högre än den framräknade. Den faktor som enligt den här undersökningen påverkar betongens tryckhållfasthet och i sin tur ger en större momentkapacitet än vad tidigare beräkningar visar är förhindrad tvärutvidgning. Studien visar att hänsyn till förhindrad tvärutvidgning bör tas med i beräkningar på betongsliprars hållfasthet. Detta medför att det finns utrymme att minska betongklass på Abetongs slipermodell A26 från C58/70 till C50/60. / A comparison of the calculation data from Abetong and statistics from pressure tests shows that the sleepers can handle more load than the calculations show. In this study, an evaluation of used calculation methods has been made and a comparison between different principles of dimensioning to get as close to the result from the pressure tests as possible. Calculations with rectangular stress distribution and idealized parabola-rectangle diagram showed that the second alternative gave a bit higher value on the sleeper bending moment capacity, but the difference did not explain why the real bending moment capacity is so much higher than the calculated one. According to this study confined concrete gave a larger capacity than the previous calculations. With regards to that effect the compressive strength of the concrete almost doubled, which together with an increased critical strain gave a bending moment capacity very close the one obtained from the pressure tests. This study concludes that the confined concrete effect should be considered when calculating the concrete strength. This also means that there is a possibility to reduce the concrete strength of Abetong’s sleeper model A26 from C58/70 to C50/60. Concrete sleeper compression failure design method testing cross section dimension rectangular stress distribution idealized parabola-rectangle diagram confined concrete concrete strength pressure strength Betongsliper tryckbrott dimensionering provning tvärsnittsdimensionering förenklat tryckblock parabolisk-rektangulär arbetskurva tvärutvidgning betongklass tryckhållfasthet
33	Algebraické křivky v historii a ve škole / Algebraic curves in history and school Fabián, Tomáš January 2016 (has links) TITLE: Agebraic Curves in History and School AUTHOR: Bc. Tomáš Fabián DEPARTMENT: The Department of mathematics and teaching of mathematics SUPERVISOR: prof. RNDr. Ladislav Kvasz, Dr. ABSTRACT: The thesis includes a series of exercises for senior high school students and the first year of university students. In these exercises, students will increase their knowledge about conics, especially how to draw them. Furthermore, students can learn about two unfamiliar curves: Conchoid and Quadratrix. All these curves are afterwards used for solving other problems - some Apollonius's problems, Three impossible constructions etc. Most of the construction is done in GeoGebra software. All the tasks are designed for students to learn how to work with this software. The subject discussed is put into historical context, and therefore the exercises are provided with historical commentary. The thesis also includes didactic notes, important or interesting solutions of exercises, possible issues, mistakes and another relevant notes. KEYWORDS: conic, circle, ellipse, parabola, hyperbole, conchoid, quadratrix, trisecting an angle, squaring the circle, rectification of the circle, doubling a cube, Apollonius's problem, GeoGebra
34	[en] THEOLOGY OF THE CHILD: CHILDHOOD AS A WAY OF SPEAKING ABOUT GOD, CHRISTIAN LIFE AND THE VULNERABLE / [pt] TEOLOGIA DA CRIANÇA: A INFÂNCIA COMO CAMINHO DE SE FALAR SOBRE DEUS, A VIDA CRISTÃ E OS VULNERÁVEIS BENJAMIM SATHLER LENZ CESAR 30 August 2018 (has links) [pt] A Teologia da Criança é o campo de pesquisa que tem como sujeito teológico o ser humano de pouca idade e denuncia o adultocentrismo como estrutura de opressão. O centro de toda construção teológica se estabelece ao redor e a partir da figura da criança. A pesquisa tem como objetivo analisar a relação entre a experiência de Deus e a valorização da infância, sinalizando a existência de uma ligação estreita entre um e outro. A experiência com o Mistério ganha novos contornos a partir da mística singular das crianças, bem como a infância adquire novas cores a partir da revelação desse Mistério em Jesus Cristo. Os pequeninos são a parábola que as Escrituras utilizam para falar sobre Deus, a vida cristã e os vulneráveis desse mundo, transcendendo assim a razão, a instituição e o consumo como lógica adultocentrica e propondo a mística, a liberdade e a generosidade como alternativa para se fazer como criança. Os adultos podem e devem reconhecer nas crianças um caminho para a experiência real de Deus. / [en] Theology of the child is the research field which has as theological subject the earlier-phases human beings and which denounced the adultcentrism as an oppression structure. The core of all theological construction is established around and from the figure of a child. The research has as its main objective to analyze the relation between experiencing God and the appreciation of childhood, pointing out the existence of a close relationship between them. The experience with Mystery assumes new perspectives through the peculiar, mystic worldview of the children. Also, childhood acquires new colors through the revelation of this Mystery in Jesus Christ. The little ones are the parable which are used by Scriptures to talk about God, Christian life and the vulnerable people of this world, transcending as such the reason, the institution and the consumption as adultcentric logic and proposing the mysticism, freedom and generosity as an alternative to become like children. Adults can and should recognize in children a way to really experiencing God. [pt] CRIANCA [en] CHILD [pt] INFANCIA [en] CHILDHOOD [pt] TEOLOGIA DA LIBERTACAO [en] THEOLOGY OF LIBERATION [pt] TEOLOGIA [en] THEOLOGY [pt] MISTICA [en] MYSTICISM [pt] MISTERIO [en] MYSTERY [pt] PARABOLA [en] PARABLE [pt] PEQUENINOS [en] LITTLE CHILDREN [pt] ADULTOCENTRISMO [en] ADULTCENTRISM [pt] CRIANCITUDE [en] TO BECOME AS CHILDREN
35	[en] PROCLAMATION AND PRAXIS OF GOD S KINGDOM: AN ESCHATOLOGICAL SENSE IN THINKING OF EDWARD SCHILLEBEECKX / [pt] ANÚNCIO E PRÁXIS DO REINO DE DEUS: UMA PERCEPÇÃO ESCATOLÓGICA NO PENSAMENTO DE EDWARD SCHILLEBEECKX ALDO FERNANDES DA ROCHA 12 July 2016 (has links) [pt] A presente dissertação trata do anúncio e práxis do Reino de Deus, com a finalidade de perceber os elementos escatológicos da temática, presentes no pensamento de Edward Schillebeeckx, contidos na obra Jesus, a história de um vivente, além de outras obras do autor e de outros autores em diálogo com ele. A metodologia adotada é a da revisão bibliográfica, e os pontos de relevância são o anúncio, a práxis do Reino, e a percepção dos elementos escatológicos destacados por Schillebeeckx. Jesus anunciou o Reino de Deus, por meio das bem-aventuranças, parábolas e a reinterpretação da Lei mosaica a favor dos pobres, trazendo de Deus a ajuda salvadora para a humanidade. Se as bem-aventuranças são o programa de vida do Reino, as parábolas são sua ilustração vital, e todas elas se referem ao próprio Jesus, que é, em pessoa, o Reino de Deus. Consequente do anúncio, a práxis do Reino em Jesus se verifica em suas atitudes de cura e libertação do mal, revelando a compaixão e misericórdia de Deus. O anúncio e práxis do Reino geram a comunidade de discípulos, que, após a morte e ressurreição de Jesus, na força do Espírito Santo, dá continuidade à sua missão na história. Com Jesus, o Profeta escatológico, o Reino de Deus se aproxima da humanidade e realiza já o que ainda há de ser plenamente experimentado no futuro escatológico de Deus. / [en] This dissertation deals with the proclamation and praxis of the God s Kingdom, in order to realize the eschatological elements of the theme, present in the thought of Edward Schillebeeckx, contained in the book Jesus, the story of a living, and other works by the author and other authors in dialogue with him. The methodology adopted is the literature review, and the points of relevance are the announcement, the praxis of the kingdom, and the perception of the eschatological elements highlighted by Schillebeeckx. Jesus proclaimed the Kingdom of God, through the Beatitudes, parables and the reinterpretation of the Mosaic Law for the poor people, bringing God s saving help for Humanity. If the beatitudes are the life program of the kingdom, the parables are a vital illustration, and they all refer to Jesus himself, who is, himself, the kingdom of God. Subsequent announcement, the praxis of the kingdom in Jesus is found in their attitude healing and deliverance from evil, revealing the compassion and mercy of God. The announcement and praxis of the kingdom generate a community of disciples who, after the death and resurrection of Jesus, in the power of the Holy Spirit, continues His mission in history. With Jesus, the eschatological prophet, God s Kingdom is approaching humanity and accomplishes what has yet to be fully experienced in the eschatological future of God. [pt] REINO DE DEUS [en] REIGN OF GOD [pt] FE [en] FAITH [pt] RESSURREICAO [en] RESURRECTION [pt] ANUNCIO [en] ANNOUNCEMENT [pt] PRAXIS [en] PRAXIS [pt] PARABOLA [en] PARABLE [pt] EDWARD SCHILLEBEECKX [pt] PROFETA ESCATOLOGICO [pt] METANOIA [en] METANOIA [pt] BEM AVENTURANCAS [en] BEATITUDES
36	Algebraické křivky v historii a ve škole / Algebraic Curves in History and School Fabián, Tomáš January 2015 (has links) TITLE: Agebraic Curves in History and School AUTHOR: Bc. Tomáš Fabián DEPARTMENT: The Department of mathematics and teaching of mathematics SUPERVISOR: prof. RNDr. Ladislav Kvasz, Dr. ABSTRACT: The thesis includes a series of exercises for senior high school students and the first year of university students. In these exercises, students will increase their knowledge about conics, especially how to draw them. Furthermore, students can learn about two unfamiliar curves: Conchoid and Quadratrix. All these curves are afterwards used for solving other problems - some Apollonius's problems, Three impossible constructions etc. Most of the construction is done in GeoGebra software. All the tasks are designed for students to learn how to work with this software. The subject discussed is put into historical context, and therefore the exercises are provided with historical commentary. The thesis also includes didactic notes, important or interesting solutions of exercises, possible issues, mistakes and another relevant notes. KEYWORDS: conic, circle, ellipse, parabola, hyperbole, conchoid, quadratrix, trisecting an angle, squaring the circle, rectification of the circle, doubling a cube, Apollonius's problem, GeoGebra
37	The use of technology to motivate, to present and to deepen the comprehension of math Kobal, Damjan 02 May 2012 (has links) (PDF) The aim of the workshop is to present and discuss several ideas which relate to technology as well as to creative teaching. Educational experience, common sense and educational research have all proven how important for comprehensive understanding different cognitive representations are. We will present and discuss several elementary mathematical ideas of which mechanical realisations mean ingenius technological inventions (for example: ‘car differential’ and ‘digital sound technology’). Technological insights can provide deep intuitive understanding of otherwise abstract mathematical concepts and therefore yield also better comprehension of mathematics. Besides that we will use and present the technology in the form of dynamic geometry programs to show, provoke and motivate rethinking and deeper understanding of several elementary mathematical concepts. Motivation Technologie Dynamische Geometrie intuitiv rational Fahrradgetriebe arithmetisches Mittel Differenzialgetriebe im Auto Geodäsie Parabel Dimmen und Flashen der Scheinwerfer Funktion Analog Digital Motivation Technology Dynamic Geometry Intuitive Ratio Bicycle Gears Arithmetic Mean Car Differential Geodesics Parabola Dim and Flash Headlights Function Analog Digital ddc:510 rvk:SD 2009
38	Uniform Marker Field na válci / Uniform Marker Field on a Cylinder Kříž, Radim January 2013 (has links) This work presents a new extension for Uniform Marker Field, which is able to detect UMF on the cylinder. First part of the text deals with Augmented reality and focuses on systems using markers. It discusses the actual state-of-the-art systems and its possibilities. After that it focuses more deeply on the marker system Uniform marker field and its grayscale variants. Next part of the work describes properties of the cylinder projected in real space. Important properties for detecting are discussed in detail. Then the proposal and description of detection algorithm is presented. Implementation of algorithm is tested and evaluated on the very end of this thesis.
39	The use of technology to motivate, to present and to deepen the comprehension of math Kobal, Damjan 02 May 2012 (has links) The aim of the workshop is to present and discuss several ideas which relate to technology as well as to creative teaching. Educational experience, common sense and educational research have all proven how important for comprehensive understanding different cognitive representations are. We will present and discuss several elementary mathematical ideas of which mechanical realisations mean ingenius technological inventions (for example: ‘car differential’ and ‘digital sound technology’). Technological insights can provide deep intuitive understanding of otherwise abstract mathematical concepts and therefore yield also better comprehension of mathematics. Besides that we will use and present the technology in the form of dynamic geometry programs to show, provoke and motivate rethinking and deeper understanding of several elementary mathematical concepts. info:eu-repo/classification/ddc/510 ddc:510
40	Metrical Problems in Minkowski Geometry Fankhänel, Andreas 19 October 2012 (has links) (PDF) In this dissertation we study basic metrical properties of 2-dimensional normed linear spaces, so-called (Minkowski or) normed planes. In the first chapter we introduce a notion of angular measure, and we investigate under what conditions certain angular measures in a Minkowski plane exist. We show that only the Euclidean angular measure has the property that in an isosceles triangle the base angles are of equal size. However, angular measures with the property that the angle between orthogonal vectors has a value of pi/2, i.e, a quarter of the full circle, exist in a wider variety of normed planes, depending on the type of orthogonality. Due to this we have a closer look at isosceles and Birkhoff orthogonality. Finally, we present results concerning angular bisectors. In the second chapter we pay attention to convex quadrilaterals. We give definitions of different types of rectangles and rhombi and analyse under what conditions they coincide. Combinations of defining properties of rectangles and rhombi will yield squares, and we will see that any two types of squares are equal if and only if the plane is Euclidean. Additionally, we define a ``new\'\' type of quadrilaterals, the so-called codises. Since codises and rectangles coincide in Radon planes, we will explain why it makes sense to distinguish these two notions. For this purpose we introduce the concept of associated parallelograms. Finally we will deal with metrically defined conics, i.e., with analogues of conic sections in normed planes. We define metric ellipses (hyperbolas) as loci of points that have constant sum (difference) of distances to two given points, the so-called foci. Also we define metric parabolas as loci of points whose distance to a given point equals the distance to a fixed line. We present connections between the shape of the unit ball B and the shape of conics. More precisely, we will see that straight segments and corner points of B cause, under certain conditions, that conics have straight segments and corner points, too. Afterwards we consider intersecting ellipses and hyperbolas with identical foci. We prove that in special Minkowski planes, namely in the subfamily of polygonal planes, confocal ellipses and hyperbolas intersect in a way called Birkhoff orthogonal, whenever the respective ellipse is large enough. Winkelmaß Birkhoff-Orthogonalität Codis Kegelschnitt gleichschenklig-rechtwinklig metrische Ellipse metrische Hyperbel metrische Parabel metrisches Parallelogramm Minkowski-Ebene normierte Ebene Parallelogramm Radon-Ebene Rechteck Rhombus glatte Ebene Quadrat streng konvexe Ebene angular measure Birkhoff orthogonality codis conic section isosceles orthogonality metric ellipse metric hyperbola metric parabola metric parallelogram Minkowski plane normed plane parallelogram Radon plane rectangle rhombus smooth plane square strictly convex plane ddc:516 Minkowski-Geometrie Kegelschnitt Viereck Winkel

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