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En diofantisk ekvation är en polynomekvation i två eller flera variabler, där polynomet har heltalskoefficienter och man söker heltalslösningar. Det enklaste (och kanske mest praktiskt användbara) fallet är det linjära, ax+by=c. I sådant fall är det enkelt att hitta lösningar (x,y), eller visa att inga lösningar existerar, med hjälp av Euklides algoritm eller kedjebråk. För diofantiska ekvationer This thesis deals with some special types of Diophantine equations. Two classic cases of Fermat's equation are shown to have no nontrivial integer solutions, using two different approaches. The rest of the thesis deals with some instances of y^2=x^3+k, commonly known as Mordell's equation. In most cases, no integer solutions exist.

In this paper we investigate whether a modern approach to identifying the desirable locations to launder money, the Walker Attractiveness Index, is suitable, and compare its projected results with those revealed by the Panama Papers leak. We find that the model does a poor job at predicting the real-world results, and propose that it be revised. To this we provide some policy recommendations that

Urbanization is a process where rural population move to urban places for better job opportunities and facilities. This is a natural process and more or less unavoidable. But when this process takes place rapidly and at large -scale, the urban cities will undergo various changes that will impact the environment. Rapid and large-scale urbanization is mainly observed in developing countries of Asia

In 2013 Kenya implemented their devolution, which is the process of devolving political functions, fiscal resources and administrative responsibilities to sub-national units. The central reason behind this constitutional change was to address the chronic ethnic conflicts of Kenya. A part of the ethnic conflict in Kenya is the plague of corruption, where it has divided the people of Kenya, putting

The purpose of this study has been to look at four peoples life stories about their experiences of drug use over time as well as to share their individual attitudes, and possible experiences, of drug-related support and treatment. The life stories of these four people were collected through semi structured interviews, after which they were analyzed based on narrative aspects conveyed in their stor

In this thesis we test the performance of hedge funds against several fund specific variables, mainly fund size. As a measure of the hedge funds performance we employ both excess and risk-adjusted returns. The first part the thesis employs unbalanced panel regressions where hedge funds excess returns are run on several fund specific variables. In the second part several financial performance measu

This bachelor degree project started out with the question of how future transportation is going to look like and what steps we need to take to ensure that the combustion engine will be in the past. The changes we need to do is evident; electric vehicles are a fast-moving industry, and a global adoption is just a few years ahead. The biggest holdback for accepting electric vehicles is battery capa

The dissertation examines the underpricing of sponsor-backed (private equity backed and venture capital backed) and non-sponsor backed initial public offerings (IPOs) listed on all US stock exchanges between January 1997 and December 2017. The authors identify 403 PE-backed IPOs, 179 VC-backed IPOs and 1469 non-sponsor (non-PE and non-VC) backed IPOs. Evidence suggests that PE-backed firms are lar

At the time for the starting point of this master thesis, the Electrolux Healthy Home department where at a high extent looking into how a system of products that could communicate with one another could give the user a better experience in the home. Products that where looked into for coupling where for example an air purifier with a robotic vacuum-cleaner, maybe also coupled with any other

This paper examines which asset classes that has given the highest risk-adjusted returns during the period of 1914-2013, with a focus on financial crises. The portfolios have been produced by calculation and optimization of the Sharpe ratio as a measure of risk-adjusted returns. The analysis included Sweden, the U.S and Japan and consisted of 9 different asset classes: global stocks, domestic stoc

När vi letar efter exoplaneter finns det ett antal olika metoder för att hitta dem. Den mest framgångsrika är transitmetoden där ljusstyrkan hos en stjärna studeras under en längre tid. När en planet passerar mellan sin stjärna och en observatör kan en minsking i stjärnans ljusstyrka ses. Uppreras detta i regelbunda intervall kan slutsatsen att det finns en planet runt stjärnan dras. Genom att stuA transit is a phenomenon where a planet passes between its host star and an observer blocking out part of the light from the star. This decrease can be measured and used to gain information about the planet. The Kepler and TESS telescopes are examples of space telescopes using the transit method to detect exoplanets. For systems with more than one planet around the same star variations between th

This project was based on a thesis about how product semiotics and aesthetics has defined a design standard for many products. Hence the development for those products may have stagnated. The proj- ect began by researching different products and domains to see how designers throughout the years had “thought outside the box”, to then try to see how much I could push towards that direction. The fi

This thesis explores from a student perspective, which factors contribute to school satisfaction among Finnish high school students. The study focuses on two main areas: the student-teacher relationship and student interaction that contributes to classroom connectedness, since research confirm that the two of them correlate with school satisfaction

Human communication is both polysemiotic and multimodal; it is comprised of ensembles of representations from different semiotic systems in different sensory modalities. These semiotic systems, such as language, gestures, and pictures consist of signs and relations between signs, with system-specific affordances (Kendon, 2004; Zlatev, 2009; Sonesson, 2014). These systems all have their unique stor

In today’s world, where viewing television is one of the most prominent leisure activities, it is only natural that the scenes seen on the screen can have an impact on the image that people have of certain destinations. While film tourism is not a new phenomenon, it is relatively young in academic research and many aspects and perspectives are yet to be examined. This paper makes use of the stakeh

Hungarian Prime Minister Viktor Orbán’s conception of Hungarian identity was set out to be revealed by observing twenty-five commemorative speeches delivered by him in the last sixteen years. The speeches were assessed through thematic narrative analysis. Research questions concerning (1) the use of historical narratives to strengthen national identity and prove the nation’s right to existence and

This paper revolves around two case studies. The purpose is to show how victims with different backgrounds are presented by Swedish news organizations. An analyze of twenty-nine news articles from two Swedish news sources, SVT (Swedish Television) and Expressen is done. The study used qualitive content analysis as a method. This method uses meaningful units, coding, categorization and thematizatio

The housing question has been a core societal issue for centuries. Since Engels (1988) intervened in the debate in 1872, housing has become increasingly central as a commodity in financialised capitalism. Hong Kong has experienced some of the most problems with housing, as it has been the most unaffordable place in the world eight years in a row (Demographia, 2018). Yet, there is more than unaffor