Objective: The aim of this study was to compare equations used to calculate BMR to values of BMR obtained from measurements in order to determine the most suitable equation to be used on children and adolescents with CF.Design: The participants where children and adolescents with CF. Data was collected from the division of Clinical Nutrition at Uppsala Akademiska Sjukhus. Age, weight, height, BMI, BMR, FFM and FM was recorded from 27 measurements. BMR from the participants collected from the indirect respiratory calorimetry was compared to the results obtained from five equations used to obtain a calculated value of BMR.Results: Tverskayas equation was best correlated with the measured BMR for the whole group. The equation underestimated BMR for the participants with a measured BMR over 1400 kcal/24h and overestimated BMR for participants with a measured BMR under 1400 kcal/24h.

Algebra in school, - a study on students` algebraic knowledge of the field equations in ninth grade.International (TIMSS) and national mathematics studies detects that Swedish pupils math skills is deteriorating in comparison to other countries. Therefore has the subject of mathematics become one of the school subjects which are becoming increasingly in focus. The government has made a big effort, Matematiklyftet, in mathematics in primary education, 650 million has been invested and the Agency has been tasked to train all current mathematics teachers through peer collegial learning. This effort is the most pervasive in modern times in Sweden.The aim of this study is that we as prospective mathematics teachers want to find our approach to surveys results. By using the Governments? diagnoses, Diamant, student group interviews, teacher interviews and theories in mathematics education, we want to make students' algebraic knowledge of the field equations visible.

The purpose of this report is to evaluate different methods for identifying states in robot models. Both linear and non-linear filters exist among these methods and are compared to each other. Advantages, disadvantages and problems that can occur during tuning and running are presented. Additional measurements from accelerometers are added and their use with above mentioned methods for state estimation is evaluated. The evaluation of methods in this report is mainly based on simulations in Matlab, even though some experiments have been performed on laboratory equipment.The conclusion indicates that simple non-linear models with few states can be more accurately estimated with a Kalman filter than with an extended Kalman filter, as long as only linear measurements are used.

This study is based on an interest in trying to understand what is needed to ensure that students actually learn in a learning object, in this study equations. Algebra is an area of mathematics in several studies proved to be a stumbling block for many students. Using letters in mathematis is difficult for most students according to research reports and it is also consistent with my own experince as a teacher. The purpose of this study was to seek answers to what in the lesson content and also during the interview that allowed the students to learn more about the learning object. Based on students' prior knowledge and the difficulties students might have with the learning object and the offer of learning, I try to get an answer to what might have contribut the students to developed knowledge of the learning object.

During consultation procedures between forest owners and the Sámi, data on, e.g., reindeer lichen biomass on the current site is needed. Hitherto, the existing methods of measuring lichen cover and biomass has been either objective methods such as the Point Intercept method, which is time consuming, or some sort of subjective visual estimation, which is faster but less accurate. However, both these methods are sensitive to different observers and/or to different inventories. This paper addresses the further development and evaluation of a photographical inventory method that uses colour distribution in images to estimate lichen biomass. During the autumn of 2011 six different locations, with different grazing pressure and lichen cover, in Norrbotten county were inventoried using both the Point Intercept method and the photographical method, complemented with collection of biomass samples.

Objective: The aim of this study was to compare equations used to calculate BMR to values of BMR obtained from measurements in order to determine the most suitable equation to be used on children and adolescents with CF.Design: The participants where children and adolescents with CF. Data was collected from the division of Clinical Nutrition at Uppsala Akademiska Sjukhus. Age, weight, height, BMI, BMR, FFM and FM was recorded from 27 measurements. BMR from the participants collected from the indirect respiratory calorimetry was compared to the results obtained from five equations used to obtain a calculated value of BMR.Results: Tverskayas equation was best correlated with the measured BMR for the whole group. The equation underestimated BMR for the participants with a measured BMR over 1400 kcal/24h and overestimated BMR for participants with a measured BMR under 1400 kcal/24h.

Denna skrift är huvudsakligen en översättning av delar av kompendiet Integral Equations av Yury V. Shestopalov och Yury G. Smirnov (Karlstads universitet 2002), till vilken jag bifogat några egna exempel och en biografi över Ivar Fredholm. Skriften är författad i början av 2005, då jag läste kursen "Integralekvationer" för Yury Shestopalov..

Denna uppsats behandlar elevers attityder till ekvationer. Den tidigare forskningen ger en mängd orsaker till elevers svårigheter med ekvationer. Vad tycker eleverna själva? Denna uppsats kommer fram till att eleverna tycker ekvationer är svårt, att undervisningen från tidigare årskurser brister, och att ekvationer saknar verklighetsförankring..

The aim of this master thesis was to create a dynamic model for the processes in a solid fuel boiler of the moving grate type. Another aim with the model was to keep it as simple as possible but still able to catch the dynamics of the processes in the bedplate of the boiler. The creation of the model had its origin from drying and combustion equations used in earlier modeling work of boilers. The represented model has been used to simulate different kinds of disturbances in a boiler and different ways to control the boiler. These tests show that controlling a number of parameters in the bed of the boiler is an effective way to keep the grate stable during disturbances.

In this report we describe an adaptive simulated annealing method for sizing the devices in analog circuits. The motivation for use an adaptive simulated annealing method for analog circuit design are to increase the efficiency of the design circuit. To demonstrate the functionality and the performance of the approach, an operational transconductance amplifier is simulated. The circuit is modeled with symbolic equations that are derived automatically by a simulator..

This paper presents a study of the computer game ?Minesweeper?. The aim of the game is to search through a rectangular area of mined squares without hitting any mines. By using a strategy based on making every operation as safe as possible, series of the game have been simulated. The size of the playground is four times four squares.

The purpose of this essay is to acquire variables that explain and may be used as a base for wage estimation in the private sector in Sweden. The factors that are assumed to have an impact on wage estimation are based on earlier Swedish and international studies. Business survey data, which is based upon monthly questions to firms in various sectors of the Swedish economy posed by the Swedish National Institute of Economic Research, will be analyzed to find out weather they have an impact on Swedish wage settings or not. Tests including business survey data are yet rarely frequent, why this essay will be some kind of a pioneer within the area. To estimate significant factors that influence wage setting in Sweden, three different wage equations have been modeled and tested with a regression model.

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.

 AbstractThis Master?s thesis analyses the dynamics of the medieval counterweight lever engine, ortrebuchet, a type of mechanical artillery. The purpose is to study the differences between different types of these machines, and see if computer simulations can be used to validate preserved advice on construction. Simulations include machines with a fixed counterweight, a hinged counterweight and a combination of both counterweights.Due to the almost complete lack of archaeological finds and insufficient historical source material there are still, after more than a century of research, many unanswered questions concerning the design and performance of these machines.The present study is based on an analysis by Jahsman (2004). A more detailed mathematical model employing Coulomb-friction is used.

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.