This thesis is mainly focused on a proof of the Jordan Curve Theorem. We follow Tverberg’s paper: A PROOF OF THE JORDAN CURVE THEOREM, but add some more details and graphics in order to make this topological proof more understandable. Later in this thesis, the proof of the Poincare-Bendixson Theorem will also be discussed, as an application of the Jordan Curve Theorem.

Fully implicit Runge-Kutta methods play an important role in the numerical integration of stiff differential equations. Radau IIA is the most commonly used fully implicit method due to its good theoretical performance. However, Radau IA and Lobatto IIIC might also be suitable for different problems. These three methods are constructed using simplified order conditions that ensures specific integra

Let (G, g) be a 4-dimensional Riemannian Lie group with a 2-dimensional left-invariant, conformal foliation with minimal leaves. Let J be an almost Hermitian structure on G adapted to the foliation. The corresponding Lie algebra must then belong to one of 20 families according to S. Gudmundsson and M. Svensson. We classify such structures J which are almost Kähler, integrable or Kähler. Hereby, we

This thesis investigates the inflationary impact of the European Electricity Market on its member countries, including the EU28, Norway, and Switzerland, from 2003 to 2019. The research question particularly focuses on whether this market impacts the level of inflation in its net exporting member countries. Utilising two panel data regression models, we explore the market's impact on the rate

This thesis examines the impact of the European Union's development aid on export and import levels in Sub-Saharan Africa, focusing on the role of democracy levels in the recipient countries. Using a multiple regression model with panel data from 1990 to 2018 across 27 countries, the study assesses the influence of the EU’s aid on trade, while also considering the factors GDP, population, life

This paper explores whether rising gang-related crime in Sweden affects investment decisions in the Swedish stock market, particularly examining if its impact varies between Swedish and foreign investors. The study focuses exclusively on public owners, leaving out non-public entities like small investors. Utilizing data from 2004 to 2023, which includes the 30 most traded Swedish stocks, two hypot

In recent years, the emergence of artificial intelligence and automated algorithms in financial advisory services have democratized financial advice and have the potential to revolutionize investment strategy. This shift is of importance for retail investors, as they deal with behavioral biases affecting their investment decisions. This thesis investigates robo-advisors' ability to mitigate th

Public transport is vital for the functioning of cities and necessary in reaching environmental goals. In the population dense county, Skåne, prices for public transport increased with an all-time high of up to 11 procent in 2023, affecting 250 000 travelers a day. To investigate how price changes affect demand for public bus transport in the Swedish south, a time series regression analysis for 20

This study aims to research the effect the conflict between Russia and Ukraine have had on third party countries' economic growth. Employing an econometric model with inspiration from previous research and Solow's growth model with augmentation to include human capital. The research spans the period from 1993 to 2022. The third party countries are categorized into four different groups bas

Copper transporting P-type (P1B-1-) ATPases are essential for cellular homeostasis. Nonetheless, the E1-E1P-E2P-E2 states mechanism of P1B-1-ATPases remains poorly understood. In particular, the role of the intrinsic metal binding domains (MBDs) is enigmatic. Here, four cryo-EM structures and molecular dynamics simulations of a P1B-1-ATPase are combined to reveal that in many eukaryotes the MBD im

The ice phenology of alpine lakes on the Tibetan Plateau (TP) is a rapid and direct responder to climate changes, and the variations in lake ice exhibit high temporal frequency characteristics. MODIS and passive microwave data are widely used to monitor lake ice changes with high temporal resolution. However, the low spatial resolutions make it difficult to effectively quantify the freeze-melt dyn

This thesis delves into the complex architecture of dynamic sensory information processing in the neocortex. Specifically, it asks how primary sensory cortical regions are influenced by local and widespread cortical state changes. Central to this question is the exploration of two historically opposing information processing frameworks emphasizing a local and global information processing principl

A key element for successful blood transfusion is compatibility of the patient and donor red blood cell (RBC) antigens. Precise antigen matching reduces the risk for immunization and other adverse transfusion outcomes. RBC antigens are encoded by specific genes, which allows developing computational methods for determining antigens from genomic data. We describe here a classification method for de

Many filters such as triple-band filter, multiband filter, UWB filter, and notch band filters have been investigated in recent decades [1]. Bandpass filters with the features of good performance, micro-package, ease of use, and low cost have been the focus of device miniaturization. However, most of these UWB filters with band-notched have been designed by using various slots either in the ground

Experimentation has been considered critical for successful software product and business development, including in video game startups. Video game startups need “wow” qualities that distinguish them from the competition. Thus, they need to continuously experiment to find these qualities before running out of time and resources. In this study, we aimed to explore how these companies perform experi

Northern peatlands, spanning across vast regions of the northern hemisphere, are critical carbon reservoirs essential for global carbon cycling and climate regulation. Their dual role as long-term atmospheric carbon dioxide (CO2) sinks and the largest natural source of methane (CH4) in the northern hemisphere allows them to accumulate more carbon than they emit, helping to mitigate the rise in atm

Objective: Interactive patient education, referred to as Heart School (HS), is an important part of cardiac rehabilitation (CR) after myocardial infarction (MI), which has been associated with improved outcomes. Little is known about HS attendance among foreign-born patients. The aims were to assess; 1) HS attendance in foreign-born versus native-born patients, 2) the association between the provi