One of the purposes of this work was to find out what it means to have a conceptual understanding of geometry. It describes how the geometry evolved from history and the geometry that is taught in grade one to nine and collage. The area examined was based on fundamental geometric objects for example two- and three- dimensional objects and its characteristics and especially focusing on the areas of perimeter, area and volume. The literature- review showed that the conceptual understanding was primary to developing a good knowledge of geometry. The second purpose of his study examined whether pupils achieved the goals in geometry by working with a Mathematics Book.

This paper gives an introduction to the theory of minimal surfaces. It is in- tended for undergraduate students with some basic knowledge of Differential Geometry and complex analysis.After defining the concept of minimal surface and giving a brief histo- rical survey, we look at some well-known minimal surfaces and a few of their characteristic properties. The connection between minimal surfaces and harmonic functions is discussed and the Weierstrass-Enneper represen- tation formulas are introduced. We also present Bjo?rling?s problem and give some examples. .

The reason I am writing this essay is due to my curiosity on how children are interested in and how their understanding in geometry is at preschool years.My interest lies in children and arithmetic and especially geometry, which is something I belive that children deal with a great deal in their everyday routines, both in school and at home.What do children do when they work with geometry, and are they aware of what they do? To figure this out, I have taken my findings from three different interviews that I have done atmy preschool with a group of children that have been preselected.I am also curious about whether there is a difference in different types of schools. In this essay I have compared the preschool I work with a Montessori school and a third type of schoolwhere the children spends most of their day´s outdoors called ?Ur och Skur?In my results I can not see any major differences in these three preschools work with mathematics. The childrens knowledge is at a similar level and the work with geometry hasbeen implemented in a similar way..

The reason I am writing this essay is due to my curiosity on how children are interested in and how their understanding in geometry is at preschool years.My interest lies in children and arithmetic and especially geometry, which is something I belive that children deal with a great deal in their everyday routines, both in school and at home.What do children do when they work with geometry, and are they aware of what they do? To figure this out, I have taken my findings from three different interviews that I have done atmy preschool with a group of children that have been preselected.I am also curious about whether there is a difference in different types of schools. In this essay I have compared the preschool I work with a Montessori school and a third type of schoolwhere the children spends most of their day´s outdoors called ?Ur och Skur?In my results I can not see any major differences in these three preschools work with mathematics. The childrens knowledge is at a similar level and the work with geometry hasbeen implemented in a similar way..

This paper gives an introduction to the theory of minimal surfaces. It is in- tended for undergraduate students with some basic knowledge of Differential Geometry and complex analysis.After defining the concept of minimal surface and giving a brief histo- rical survey, we look at some well-known minimal surfaces and a few of their characteristic properties. The connection between minimal surfaces and harmonic functions is discussed and the Weierstrass-Enneper represen- tation formulas are introduced. We also present Bjo?rling?s problem and give some examples. .

This paper gives an introduction to the theory of minimal surfaces. It is in- tended for undergraduate students with some basic knowledge of Differential Geometry and complex analysis.After defining the concept of minimal surface and giving a brief histo- rical survey, we look at some well-known minimal surfaces and a few of their characteristic properties. The connection between minimal surfaces and harmonic functions is discussed and the Weierstrass-Enneper represen- tation formulas are introduced. We also present Bjo?rling?s problem and give some examples. .

This paper gives an introduction to the theory of minimal surfaces. It is in- tended for undergraduate students with some basic knowledge of Differential Geometry and complex analysis.After defining the concept of minimal surface and giving a brief histo- rical survey, we look at some well-known minimal surfaces and a few of their characteristic properties. The connection between minimal surfaces and harmonic functions is discussed and the Weierstrass-Enneper represen- tation formulas are introduced. We also present Bjo?rling?s problem and give some examples. .

This paper gives an introduction to the theory of minimal surfaces. It is in- tended for undergraduate students with some basic knowledge of Differential Geometry and complex analysis.After defining the concept of minimal surface and giving a brief histo- rical survey, we look at some well-known minimal surfaces and a few of their characteristic properties. The connection between minimal surfaces and harmonic functions is discussed and the Weierstrass-Enneper represen- tation formulas are introduced. We also present Bjo?rling?s problem and give some examples. .

This paper gives an introduction to the theory of minimal surfaces. It is in- tended for undergraduate students with some basic knowledge of Differential Geometry and complex analysis.After defining the concept of minimal surface and giving a brief histo- rical survey, we look at some well-known minimal surfaces and a few of their characteristic properties. The connection between minimal surfaces and harmonic functions is discussed and the Weierstrass-Enneper represen- tation formulas are introduced. We also present Bjo?rling?s problem and give some examples. .

This thesis is basically an attempt to discuss the intrinsic intersubjective nature of the so-called ideal sciences, i.e. geometry or arithmetic. Based upon a thorough analysis of Husserls The Origin of Geometry and Derridas Edmund Husserl's Origin of Geometry: an Introduction this thesis takes geometry as an example of an ideal science. The main question of the thesis is how an ideal science or object is constituted. The thesis consist of two main chapters - ?Geometry and Historicity? and ?Language?- and a concluding discussion.

Diagnosis means detection and isolation of faults. A model based diagnosis system is built on a mathematical model of the system. The difficulty when constructing the diagnosis system depends om how the model is formulated. In this report, a method is described that rewrites the model on such a form that the construction of the diagnosis algoritm is easy. The model is transformed by two state space transformations and the result will be a system on state space form where one part of the system becomes easy to supervise.

This is a thesis presents a differential gear which is found in a tracked vehicle called BvS10. The tracked vehicle is manufactured by BAE Systems Hägglunds AB in Örnsköldsvik, Sweden. The differential gear has a bolted house. The differential meets the requirement specifications, but the problem is that the bolts are sheared off because of the extreme torque that the differential is exposed to resist.Previous report on the differential show pictures of bolts which have been sheared off at the threads. This report is also includes three lists that explain seven different proposals which some are approved and some are not, and the report also presents the force, tensile, and shear stress.In a bolted connection there is both axial tension stress and radial shear stress, which can lead to wear out and broken bolts.

Den här C-uppsatsen, som handlar om geometri, har tre ingående delar. Den första delen berättar geometrins historiska utveckling från de första Babyloniska skrifterna via kända matematiker som Pythagoras och Euklides fram till utvecklingen av den icke-euklidiska geometrin. Den andra delen förklarar mer ingående några hållpunkter som uppmärksammades ur geometrins historia. Denna del beskriver Euklides axiomatiska framställning och bevis av Pythagoras sats, konstruktion med passare och linjal, Apollonius kägelsnitt samt en inblick i grunderna för projektiv geometri. I den avslutande delen har en jämförande studie gjorts av fyra olika läromedel för gymnasieskolan.

Planet rendering plays an important role in universe visualization and geographic visualization. The recent tools and methods allow better data acquisition, usually with very high resolution. However in computer graphics, there is always the limitation on the resolution of geometry and texture due to numerical imprecision. Not many applications can handle high resolution data effectively.This thesis introduces, Implicit Surface Scene, a level of detail scene management inspired by dynamic coordinate system and SCALEGRAPH? which change over time depending on the current camera position relative to the planet surface.

Bandvagnen BVS-10 är ettmidjestyrt fordon och består av en fram och bakvagn.På grund av terräng kan vissa geometriska förhållanden uppstå mellan dessa vagnar,vilket leder till att inspända moment kan uppstå i drivlinan. För att jämna utdessa inspändamoment med en bibehållen drivförmåga under varierande terrängdär friktionen mellan mark och band förändras, kan en differential integreras i fördelningsväxellådan.Rimligtvis bör samma differential som sitter i slutväxlarna förrespektive vagn användas även i fördelningsväxellådan. Differentialen som sitter islutväxeln för respektive vagn är av typen TrueTrac.BVS-10 är även ett amfibiskt fordon och skall därför även kunna klättra frånsimmande läge till fast mark. För att detta skall vara möjligt med en differential ifördelningsväxellådan behöver differentialen vara låsbar så att allt drivande momentfördelas till framvagnen.Syftet med detta examensarbete är att undersöka omdet är möjligt att integreraen låsbar TrueTrac differential i fördelningsväxeln och föreslå ett eller flera konceptför detta.Examensarbetet har drivits framåt somett produktutvecklingsprojekt vilket resulteradei ett slutkoncept innehållande en lösning med ett synkroniseringsdon.För att beräkna påfrestningar på lager, axlar och kugghjul i fördelningsväxellådanskapades en modell i beräkningsprogrammet KissSys, vilket resulterade i rimligaresultat.Efter handberäkningar går det att fastslå att låsningen av differentialen inte börgöras under höga vridmoment då de krafter som krävs för detta är stora. Vid låsningstillfälletsom för övrigt varar under en kort tid bör istället ett lägre momentkrävas.Slutkonceptet är designat för testning och inte tillverkning, vilket betyder attförslag på bearbetning av nuvarande komponenter har gjorts och att antalet nyakomponenter har försökts att hållas nere.Det går att konstatera att en låsbar differential av typen TrueTrac går att implementerai fördelningsväxellådan men utrymmet är begränsat.