Gravitational lenses are unlike ordinary optical lenses, a phenomenon corrupting our optical view of the cosmos. When we look out intospace we see celestial bodies lying with astronomical distance from Earth. There is no guarantee that what we see out there in space is actually there where we are observing it, and it may be that we see multiple images of the same star! Studies have shown that thenumber of distorted images of an n-mass (n > 1) plane lens can not exceed 5(n -1) for lighter lenses or 5n for more massive lens. This mathematical thesis covers gravitational lensing and their properties that distort light rays coming towards us from distant celestial bodies. In addition of gravitational lensing, its properties and the proof of the maximum number of distorted images, a bigger part of this work even cover two very interesting mathematical tools - the so-called Schwarz function and Bezout theorem..

My work has been to create a magazine for iPad to explore this format, whichthere are mixed feelings about. Instead of seeing the digital format as an enemy ofthe printed magazine, I have chosen to see it as an opportunity.I have given myself the task of designing a magazine that can justify the useof the digital magazine. I have looked at the identity of the magazine, but mainlyexplored the format and its prerequisites.I was triggered to do the project when I saw people who are just making a pdfof the printed magazine and publish it digitally. I have during my work discoveredhow near or far away you can be from the printed magazine.The format of the iPad has multiple aspects to look upon; one that turned outto be clear in my project was navigation. Working with a spread has its problemsand opportunities; the same applies to an article that is larger than a screen.

In this report a model was constructed in order to determine how a number of covariates influence the gross domestic product, GDP. The covariates were chosen depending on their expected influence on GDP, for example education and life expectancy. The data used in this report are collected from the World Bank. The model to describe GDP has been calculated using multiple line arregression. In order to reach a reliable final model the number of covariates has been gradually decreased to eliminate insignificant covariates.

AbstractTitle: Corporate Social Responsibility within the banking-sector ? A case study of the CSR-strategies of Nordea.Seminar date: 130108State University: Mälardalen University ? Västerås Institution: School of Sustainable Development of Society and TechnologyLevel: Bachelor Thesis in Business Administration ? FÖA300Authors: Samir Ghaddab, Josefine Jonsson, Sam LindforsExaminor: Cecilia Lindh Thillenius Supervisor: Magnus LinderströmPages: 35 Attachments: 1 Key words: CSR, bank, sustainability, communication, awarenessResearch questions:- What is the nature of CSR-related work in Nordea, and how do they practice CSR? - How can Nordea raise awareness about CSR among employees and other stakeholders?Purpose: The purpose with this thesis was to get an increased understanding about how Nordea interprets CSR and how they work with CSR. Finally with relevant theories in mind, this thesis presents suggestions on possible changes and opportunities within Nordea?s CSR-activities and how they can co-operate with NGO?s like CSR Sweden.Methodology: A qualitative study with deductive methods. A case study has been done with semi-structured interviews at a company and a nonprofit organization.Conclusion: The reality in which Nordea operates conforms to the theories presented in the thesis when we look at the driving forces behind working with CSR and the demands on the company that stakeholders have.

Syftet med denna studie var att beräkna preliminär prevalens för sjukdomen multipel skleros (MS) i Värmland, med prevalensdag 21 december 2002, och jämföra den med andra prevalensstudier i Sverige. Utifrån patientjournaler vid länets sjukvårdsinrättningar noterades basala och medicinska data på ett registreringsformulär. För klassificering av MS har Poser ?s kriterielista tillämpats och granskningen av journaler har utförts av specialist neurologer. Prevalensen för definite/probable MS i Värmland, baserad på siffror som var insamlade augusti 2004, var 151/105 (95% CI 136-165), för kvinnor var prevalensen 211/105 (95% CI 187-235) och för män 89/105 (95% CI 73-105), vilket innebär att MS var 2,37 gånger vanligare för kvinnor.

The purpose of this project was to further develop and complete a quadcopter that had been built in an earlier course at KTH, so that it could be used for demonstration and education at the school. The quadcopter was at the beginning of the project completed when it came to hardware, and there was some software functionality implemented but no system for automatic stabilization. The main goal of the project was to implement such a system, and to combine it with the previous functionality to make the quadcopter operable and able to fly. To create a functioning and stable ground multiple basic software features has been implemented, and on top of that additional software to improve the safety, stability and functionality. The most important part is the control system that is responsible for converting sensor and control signals to suitable motor values.

The purpose with this thesis is to analyse different factors that can explain district heating prices for energy companies in Sweden. We are further interested in examining if the prices is affected by the use of industrial waste heat in their production and the company?s ownership structure. The method applied is a multiple regression analysis using a panel data set of 50 companies over 5 years (2008-2012). The data used is yearly data obtained from the Swedish district heating association.

Syftet med detta arbete är att designa och utvärdera ett stridssystem för ett rollspel, som skall ha en högre grad av meningsfulla val än de två kommersiella rollspel som utvärderas tillsammans med det egenutvecklade stridssystemet. För att få en högre grad av meningsfulla val så designas stridssystemet efter två teorier: triangulära val och multiple-dice systems. Graden av meningsfulla val utvärderas genom strukturerade intervjuer där respondenterna svara på en enkät.Utvärderingen visade att det egenutvecklade stridssystem inte uppnådde en högre grad av meningsfulla val än de två kommersiella stridssystemen.Rollspelet bör i framtiden modifieras för att korrigera de problem som framkom genom utvärderingen. Utvärderingsmetoden som användes i arbetet kan utvärdera graden av meningsfulla val i alla typer av spel..

The purpose of this study has been to increase the awareness of what significance models of explanation have for intervention programmes, aimed at perpetrators of intimate partner violence, within the Swedish social services. The study is not gender neutral, it centres on male batterers in heterosexual relationships. The study is based on qualitative interviews with five people working within the topical field. I analyzed their statements using an ecological model of understanding violence. The main finding was that the people I interviewed had a multiple understanding when it came to comprehending the violence, but that when it came down to the actual intervention they targeted mainly on elements in the individual spectra, such as feelings of frustration.

This study was made in an attempt to give the forest research centre Mógilsá a producedtetratherm map and a better understanding of how topography and temperature influencethe growth of two tree species. The digital tetratherm map model, covering the northernpart of Iceland, was developed to investigate the correlation between tetratherm and thegrowth of Picea sitchensis and Larix (sukaczewii + sibirica). The study confirms theusefulness of digital terrain models in providing data for a lot of different factors and forthe tetratherm model. Hopefully will this tetratherm map be used in future studies.Secondly, investigations were made correlating the growth of the two species againsttopographic factors representing height above sea level, distance to the sea, slope andtopex. Thirdly, investigations were made comparing the aspect and the ground shape tothe growth.The growth rate of Larix had strong significant correlations to the tetratherm and thedistance to the sea- factors.

Background: There have been several reforms within the Swedish educational system since the 1960´s, not only within the elementary school but also within the teachers? education and the school leaders´ educational program.Aim: My aim with this study is to explore if teachers´ expectations and experiences of school leadership have changed since the many educational reforms began in the 1960´s.Method: For this study I have a used a comparative design. By making qualitative interviews with five teachers born in the 1940´s and five teachers born in the 1980´s I have then analyzed the result.Result: Regardless of the 40 years of age difference and the multiple reforms within the educational system in Sweden the result shows that the teachers in this study did not have any clear expectations on their school leaders as they started their careers..

AbstractAccording to several researchers finance is scarce, scarcer for small businesses than for big enterprises. Small and medium-sized enterprises, SMEs, that want to start exporting and sales or manufacturing abroad need capital to get ready. Which capital structure and financial costs do they have, and which forms of finance do they actually use for that purpose. New american research by Mansi, Reeb (2002) has suggested, that there is a positive connection between leverage and a negative one between financial costs and internationalization, and that a non-linear model better describes this connection.This study has gathered data in two ways: Through a questionnaire from 37 SMEs and balance sheet figures from totally 166 manufacturing SMEs. In order to examine, whether the company was active on the international market, 200 SMEs in south Sweden were asked, if they exported to, produced or sold on any other market than their home market.

Abstract?Understand the customers value in use ? A multiple case study of three industrial companies? or ?Förstå kundens bruksvärde ? En multipel fallstudie av tre industriella företag? brings out the problem that it is easy to assume, what the value is for the customer.The questions asked for this thesis are:? How does the companies in focus, gather information about what effects the customers value in use?? How do the companies use this information in their business?The purpose is to examine how some industrial companies gather information about the customer?s value in use, on the bases from the five activities from Porter and how they can use this information.Three semi structured interviews were made for this investigation, with representatives from Atlas Copco Rock Drills, IL Recycling and Johnson Pump.The conclusions are that to gather information about the customers value in use, the company must work close with the customer. This information helps the company to improve their products, services and their relationships..

This paper deals with the concept "Information Overload" (IO). It describes the intellectualcontent of the idea as well as its supposed domains of activity. Furthermore it problemizes theimage of "Information", "Information Society" and other concepts related to those phenomenons.A division by two fundamental different distinctions of IO are being made. InformationOverload serves as a name for:I. An information-intensive environment.II.

Syftet med detta arbete är att designa och utvärdera ett stridssystem för ett rollspel, som skall ha en högre grad av meningsfulla val än de två kommersiella rollspel som utvärderas tillsammans med det egenutvecklade stridssystemet. För att få en högre grad av meningsfulla val så designas stridssystemet efter två teorier: triangulära val och multiple-dice systems. Graden av meningsfulla val utvärderas genom strukturerade intervjuer där respondenterna svara på en enkät.Utvärderingen visade att det egenutvecklade stridssystem inte uppnådde en högre grad av meningsfulla val än de två kommersiella stridssystemen.Rollspelet bör i framtiden modifieras för att korrigera de problem som framkom genom utvärderingen. Utvärderingsmetoden som användes i arbetet kan utvärdera graden av meningsfulla val i alla typer av spel..