In this thesis we calculate the Hawking mass numerically for surfaces in Kerr spacetime. The Hawking mass is a useful tool for proving the Penrose inequality and the result does not contradict the inequality. It also does not contradict the assumption that the Hawking mass should be monotonic for surfaces in Kerr spacetime. The Hawking mass is quasi-local and defined by the spin coefficents of Newman and Penrose, so first we give a discussion about quasi-local quantities and then a short description of the Newman-Penrose formalism..

As a public nurse there is a great probability that you will meet patients that have had a myocardial infarction. We want to contribute to create a greater understanding of how a nurse can support and understand these people. The last 30 years the infarction care has made a big progress. Still many conceptions remain which means that for many people a myocardial infarction leads to a belief that this is the end of the working life, social life, sparetime activities and travelling. Due to this misbelief it is important that the nurse creates good conditions for the patient right from the start.

The purpose of this master thesis was to explore and develop prototypes for visualization of trade statistics in a market surveilance application. In such an anapplication a large amount of information is processed. This information is then summarized and presented to the market surveillance staff. The practical part of this thesis was done at Scila AB in Stockholm. Three prototypes were developed based on modern visualization methods.

The goals of this Bachelors? Thesis were to establish the production loss through the VTIS1 Pasteur at Arla Foods Linköping dairy and then suggest simple but effective solutions to minimize the losses for each production run. If the timeframe allowed it, some of the solutions would be implemented and tested in full production to determine their impact on economic and environmental savings.The very first step of this project was to establish the statistics over what losses there is in the production pipeline through VTIS1, from milk and powders in mixer tanks to finished and packed products in cold storage. Then, when knowing how much product was actually lost and where, those bottlenecks could be pinpointed and examined more closely. At this stage the focus was switched, from the otherwise complicated and broad manufacturing process, to the VTIS1-aggregate, since early data indicated there were quite substantial losses there.In conjunction with this project Arla Foods purchased an absorption photometer-measuring device (OPTEK AS16) that could be inserted straight into the product stream out of VTIS1, allowing real time measurements of its optical density.

The aim of this review is to assess the ethical implications of aquaculture, regarding fish welfare and environmental aspects. The aquaculture industry has grown substantially the last decades, both as a result of the over-fishing of wild fish populations, and because of the increasing consumer demand for fish meat. As the industry is growing, a significant amount of research on the subject is being conducted, monitoring the effects of aquaculture on the environment and on animal welfare. The areas of concern when it comes to animal welfare have here been divided into four different stages: breeding period; growth period; capturing and handling; and slaughter. Besides these stages, this report includes a chapter on the current evidence of fish sentience, since this issue is still being debated among biologists.

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 electric vehicle market has potential to contribute to Sweden?s national goal to have a fossil fuel independent transport sector by 2030. However, the market answers to a lot of challenges making it difficult for the market to fully reach its potential. The volume of electric vehicles has seen a steady increase during the last year (2012), although many of these vehicles are mostly for PR purposes or bought by the public sector that wants to lead by example. Still, barriers in the form of high purchase costs, an anxiety for the limited battery capacity and the lack of standardisation are some of the problems that the market is struggling to solve.

Syftet med denna studie var att undersöka elevers användning av lösningsstrategier i subtraktion samt lärares och läromedlens framställning av dessa, för att kunna komma fram till hur en framgångsrik undervisning i subtraktion, med fokus på lösningsstrategier, kan se ut. Undersökningen genomfördes i tre klasser i åk 3. Metoder i studien var elevenkät, intervju med lärare och läromedelsgranskning. Data bearbetades med hjälp av en egenkonstruerad begreppsmodell utifrån olika lösningsstrategier. Resultatet visar på en större variation av lösningsstrategier i undervisningen än i elevernas uträkningar.

Three methods of sensitivity and unceartainty analysis have been applied to the operative stormwater- and recipient model StormTac. The study area is the watershed of lake Flaten in the municipality Salem. StormTac?s submodels for stormwater, pollutant transport and the recipient are cosidired. In the sensitivity assessment, the model parametres and inputs were varied one at a time by a constant percentage according to the ?one at a time? (OAAT) method and the response of the outputs were calculated.

To fence in pastures for sheep today is a major cost, especially because of the time required when using current methods. What takes most time is starting to fence off a new area, but to maintain a fence is also a continuous effort. The main function is to keep the sheep at the field.! !By interviewing and observing sheep farmers on how they work with fence today and what their problems was, I got a better understanding of the problem. Also looking at a number of other things like the context, statistics on sheep farming, laws and competition mapping gave a wider image. But the most important part in my research occurred when I talked to experts about sheep behavior.

This paper presents a study of the Swedish public service television broadcaster - Sveriges Televisions (SVT) transfer pricing model. The aim of the thesis is to examine the motives for using transfer pricing from a theoretical perspective and if SVT?s transfer pricing model fulfils these motives. We will also examine any potential managerial problems the existing transfer-pricing model might cause and discuss how these could be solved. We have in our study found that the main motive for using transfer pricing within SVT is to allocate internal resources as efficiently as possible.

The aim of this study was to evaluate different types of volume and taper equations that can be used to predict single-tree stem volume and stem diameter at any given height along the tree stem for plantation grown Sitka spruce (Picea sitchensis (Bong.) Carr.), Norway spruce (Picea abies (L.) Karst) and White spruce (Picea glauca (Mounch) Voss) in Iceland. A number of published tree volume equations were tested and modified to predict the total stem volumes over bark but three logarithmic equations were taken for more in-depth analysis. Three taper equations were tested. Two variable-exponent equations (Kozak 1997, Kozak 2004) and one exponential equation described by Biging (1984). Data from a total of 617 sample trees were used in this study, collected from stands in various parts of the country and present different types of stands growing in different soil types and cover most of the site conditions suitable for forestry in Iceland.

During the period 2002-2012, 74 people committed suicide within the Swedish judicial system. During the same period of time 702 self-destructive actions and suicide attempts were reported. The purpose of this work was to investigate and illuminate the causes which are responsible for individuals committing suicide while in custody or in prison. The theory of this  work is an ethnographic study of a special social context. A study of literature, statistics and earlier scientific research was used in this study.

Syftet med denna studie är att få ökad insikt om hur förskolelärare uppfattar sitt eget arbete med att främja barns begreppsutveckling inom området volym. Syftet med studien är även att få ökad kunskap om vilka aspekter som påverkar den dagliga verksamheten inom området volym i förskoleklassen. Denna undersökning är baserad på intervjuer med sex förskolelärare, materialet har bearbetats och kategoriserats under fem stycken huvudrubriker som belyser olika aspekter av hur förskolelärarna uppfattar att de arbetar med området volym i förskoleklassen. Vi har valt att belysa denna undersökning ur ett sociokulturellt perspektiv. I vår analys har vi kommit fram till att det finns många olika aspekter som påverkar utformandet av verksamheten i förskoleklassen.

This paper aims to derive the Black-Scholes equation for readers without advanced knowledge in finance and mathematics. To succeed, this paper contains a theoretical chapter in which concepts such as options, interest rate, differential equations and stochastic variable are explained. This paper also presents the theory of stochastic processes such as the Wiener process and Ito process. In the chapter on the Black-Scholes model the Ito process is used to describe price of shares and with the help of Ito's lemma Black-Scholes equation can be derived. In the paper, assumptions are listed that apply to the Black-Scholes model and then uses the Black-Scholes equation to calculate the price of a European call option.