I denna uppsats presenteras grundläggande delar av hyperbolisk geometri. Uppsatsen är indelad i två kapitel. I första kapitlet studeras Möbiusavbildningar på Riemannsfären. Andra kapitlet presenterar modellen av hyperbolisk geometri i övre halvplanet H, skapad av Poincaré på 1880-talet.Huvudresultatet i uppsatsen är Gauss ? Bonnét´s sats för hyperboliska trianglar..

Vi började vårt projekt med grunderna till verktyg för att utveckla spel i 2d. Dessa ämnade vi färdigställa under projektet och med dem utveckla en speldemo. Eftersom vi hade gemensamma visioner om spelutveckling så bestämde vi oss för att samarbeta, och fokusera på våra respektive områden. Med att utveckla egna verktyg ville vi få en större förståelse för de grundläggande mekanismerna av en spelmotor och möjligheten att påverka dessa efter våra specifika behov. Det var också för att hålla koden fri från licensierade komponenter för att i framtiden kunna underlätta distribution..

Understensho?jden is Stockholm's largest eco-village which was built in the early 1990s with the vision of enabling ecological living for people. However the ecovillage is no longer considered as environmentally friendly because of its relatively high energy consumption, and non-updated energy system. The purpose of this study is therefore to investigate how Understensho?jden should reduce their energy consumption and upgrade its energy system by using Blower-Door, IR-camera and Design Builder.

?Halmstads Fastighets AB? is a local real estate company investing in sustainable development. One problem though is that the domestic waste, particularly the source separation, at the three resident blocks for students? isn´t working very well. This creates inconveniences for people and environment as well as decreasing the impression on the estates.This project has had the ambition to improve the domestic waste and increase the amount of source separation at HFAB´s student hostels.

In this final thesis a rough description of aluminium extrusion is made, the importance of temperature of both the raw material and the extruded profile for a good profile quality. The difficulty in controlling these temperatures are discussed and attempts to increase the control are described. The attempts are basically made by controlling the furnace that is heating the raw material. This is done in a manner that the raw material reaches its final temperature shortly before it is extruded. An IR-camera at the press can be used for profile temperature measurements.

Syftet med den här rapporten är att se om elever som har svårigheter inom ett specifikt matematiskt område får den undervisning de behöver för att nå upp till målen. En diagnos gjordes med elever i år fyra inom området geometri. De har därefter haft en lektion där en pedagog blivit filmad. Därefter gjordes ytterligare en diagnos med eleverna för att se om resultatet är bättre, sämre eller är oförändrat. Det insamlade materialet analyserades ur ett variationsteoretiskt perspektiv.

Understensho?jden is Stockholm's largest eco-village which was built in the early 1990s with the vision of enabling ecological living for people. However the ecovillage is no longer considered as environmentally friendly because of its relatively high energy consumption, and non-updated energy system. The purpose of this study is therefore to investigate how Understensho?jden should reduce their energy consumption and upgrade its energy system by using Blower-Door, IR-camera and Design Builder.

Understensho?jden is Stockholm's largest eco-village which was built in the early 1990s with the vision of enabling ecological living for people. However the ecovillage is no longer considered as environmentally friendly because of its relatively high energy consumption, and non-updated energy system. The purpose of this study is therefore to investigate how Understensho?jden should reduce their energy consumption and upgrade its energy system by using Blower-Door, IR-camera and Design Builder.

This essay concerns the interpretation of house plans in three-aisled longhouses and hall-buildings, in Scandinavia during Iron Age. Full scale house reconstructions need a better basis of interpretations to understand the patterns of roof supporting post holes in excavated house plans. This has led to the thesis, presented here, that the layout of house plans during Iron Age is based on geometrical proportions. In order to prove this, geometric house plans were applied and compared with excavated house plans in 11different case studies, including the fortification of Fyrkat Denmark. It was found that all house plans in the case studies indicate, that the geometrical proportions 1:2, 1:3 and 2:3 of a given circle must have been used for the basic layout of the roof supporting post holes, using a compass and a straightedge.

Ett flertal både internationella och nationella undersökningar visar att svenska skolelever blir allt sämre på matematik. Ett delområde som ofta utpekas är geometri. Denna undersökning syftar till att ta reda på hur ämnet geometri har utvecklats i den svenska skolan samt vilka metoder och begrepp lärare använder sig av när de undervisar i geometri i de tidigare skolåren. Empirin har hämtats från åtta semistrukturerade intervjuer och från studier av gamla läroplaner. Resultatet visar att lärare använder en mängd begrepp och metoder i sin undervisning men att det finns ett behov av fortbildning hos lärarna.

The problem presented in this report is that of finding a method to calculate the lift force from a single-element airfoil of arbitrary shape. A number of restrictions are used in order to simplify calculations while retaining reasonable accuracy. The problem is solved for the two-dimensional case only and no finite-wing effects are taken into account. Furthermore, inviscid and incompressible flow is assumed. The method used to solve the problem is the vortex panel method, with vortex singularities distributed over simplified airfoil geometry.

The saw blade producer, Håkansson Sågblad AB, patented in the U.S. a new blade profiledesigned specially to cut fish and meat. The most important advantage of that blade is that its teethare not set, therefore the material lost when cutting is really smaller. The special geometry of thatprofile made that nobody had found a proper way to produce it before.The goal of the outlined work is to develop a machine to produce these new blades in afeasible way.The research approach of the project can roughly be divided into three phases:1.- Invention and development of a proper distribution of blades to produce a big amount ofthem at the same time.2.- Research of the best production process to produce the blades.3.- Main design of the machine to produce the blades.In the Thesis these three points are carefully developed and studied in the form of the startpoint of a really bigger project. Some tests had been done in order to prove all the analytical ideasand the results obtained had been satisfactory enough to give Håkansson the start point of a bigbusiness.

The purpose of this study is to investigate the children?s mathematics learning through play. The questions to be answered are: how can teachers facilitate children?s mathematics learning through play? How can play affect children?s math learning? Are the children aware of the role of play in their mathematics learning?My method is based on interviews and observations. My informants are three teachers who work in two different preschools.

This study investigates augmented reality using third person perspective and what precision can be achieved by using this method. There have been prior studies in regards to precision using augmented reality, however studies using third person perspective is scarce. This study presents a solution using a static camera capturing the user as well as the plane to augment from behind. This augmented image is then transferred to a handheld device that is held by the user. Using this method the user will be free to manipulate and work with the plane without removing the device that captures the scene, a common problem when using visual reference markers in augmented reality.

The organic farmland is increasing all the time and the goal is that 15 % of the Swedish farmland will be in organic production in year 2010. The organic production needs new and more effective ways to control weeds, and there is the row harrowing coming as a good complement to the conventional weed harrowing. In this experiment is weed harrowing whit different row spaces and row harrowing with a spacing of 25 cm compared. Then are the weed picked and the weight taken of them. The yield is compared in the 7 different ways of treatment. The results is not showing any significant differences in yield even when the row spacing is 25 cm instead of 12,5 cm. Even the spring wheat that is a sensitive crop and has bad tillering is doing well in this experiment. Now with modern technology where the row harrow is controlled by a camera that making the row harrow to follow the rows is it the soil coverage of the crop that is the limit for the speed. With wide machinery is the very good coverage even with a row harrow..