Texten är en essä utifrån nya översättningar av Ciceros De fato och Senecas De providentia, utgivna på Augusti bokförlag. På svenska heter boken Om ödet/Om försynen. Översättare är Lars Nyberg. I essän berättar jag även om den nya teknik som gjort det möjligt att avkoda de förkolnade bokrullarna i Herculaneum.

In Sweden, extensive use and the inherent heterogeneity of train traffic have significantly increased the sensitivity of the train system so that the delay of one train can easily propagate to others. Repeated experiences with train delays can lead passengers to perceive that railway transportation is unreliable. Despite being considered a green mode of transport, this environmental benefit truly

In this chapter, Hannah Strømmen examines the uses of texts in the practices of far-right populism, specifically the uses of the sacred scriptures of Muslims and Christians. Identifying patterns of scripture-practice is promising because it demonstrates the way different incarnations of the far right utilize shared strategies, particularly when it comes to the role Christianity and Islam play in c

Short presentation of Swedish-German filmmaker Peter Weiss (1916 - 1982) and his films in connection with a new streaming service from the Filmform foundation

Insulin is packaged into secretory granules that depart the Golgi and undergo a maturation process that involves changes in the protein and lipid composition of the granules. Here, we show that insulin secretory granules form physical contacts with the endoplasmic reticulum and that the lipid exchange protein oxysterol-binding protein (OSBP) is recruited to these sites in a Ca2+-dependent manner.

Postern tar upp mitt avhandlingsprojekt med särskilt fokus på den första delstudien.

Cemented carbide inserts coated with CVD α-alumina, particularly those exhibiting a (0001) texture, have proven highly effective in steel turning. Despite the established superior performance of (0001) textured alumina coatings, the underlying reasons remain unclear. This study explores the influence of the crystallographic texture of alumina on wear mechanisms in various chip-tool contact zones o

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.

The study of minimal surfaces has a long history, due to the important applications. Given a fixed boundary, one wants to minimise the surface area: this can be used, for example, to minimise the area of the roof of a building. Similarly, looking for constant mean curvature (CMC) provides us with many interesting applications in physics – one of the easiest examples are soap bubbles. In this work

We establish the theory of normal families of meromorphic functions taking values in the extended complex plane, which can be regarded as a metric space equipped with the spherical metric. Using the notion of spherical derivatives, we state and prove Marty's theorem on normal families of meromorphic functions. As a result, we deduce the classical Montel's theorem on relatively compact fami

Neural networks can be utilized for an ever widening selection of tasks. In this thesis the most common optimization algorithms underlying neural networks are investigated: classical momentum, Nesterov momentum, AdaGrad, AdaDelta, RMSprop, Adam, AdaMax, and Nadam. The underlying mathematics that these algorithms are based on is described. There is a summary of key components of a neural network—ac

In this thesis, entropy conservative and entropy stable finite volume methods for one-dimensional scalar conservation laws are studied. The need for weak solutions is shown and entropy is explored to obtain uniqueness. Using discrete analogues of properties of entropy solutions, entropy stable finite volume methods are constructed and implemented to solve a number of scalar conservation laws, in p

In this thesis we introduce the mathematical fields of representation theory and character theory, providing a broad outline of the main concepts of each from the background of a general knowledge of abstract algebra. We cover a broad introduction to the representations of groups viewed as group and algebra homomorphisms and as modules over the group algebra, then proceed to consider key results o

In this thesis we will attempt to classify groups and rings based on whether the associated group rings are Noetherian or not. As this is still an open problem, we present the current state of research. While there are several classes of groups proven not to have Noetherian group rings, such as non-amenable and non-Noetherian groups, so far, virtually polycyclic groups are the only class for which

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

In this thesis, we examine the Arnoldi iteration - an iterative algorithm used for finding a Hessenberg form of a matrix as well as approximating its eigenvalues by forming an orthonormal basis of a Krylov subspace. We explore the mechanism behind the work of the algorithm and how the values it finds approximate the eigenvalues. In the process of answering these questions we consider the concepts

In this paper a parallel implementation of three methods, Jacobi, Gauss-Seidel and Successive over relaxation (SOR), for solving large and sparse linear systems derived from Poisson type PDEs are investigated in order to find the faster solver method. Workload which is decoupled can be done faster in parallel than sequentially. We use a grid to discretize the PDE and the order of the grid cells yi

In this thesis we will explore methods to generate random numbers from any distribution. The basic idea behind generating random numbers is to use a mathematical sequence for which it should be impossible to guess what the next number is without knowing exactly how the sequence is generated. Although any hard to guess sequence would work, this thesis focuses on the linear congruential sequence, $