In the 19th century E. Mathieu discovered and studied five multiply transitive permutation groups. The grops are called the Mathieu groups and it turned out that all five are simple. In this thesis these remarkable groups are constructed, with special focus on the largest Mathieu group M24. All maximal subgroups of M24 will be described and classied. It is also shown that the other Mathieu groups

We consider the scale of standard weighted Bergman spaces in the unit disc. We show that in this scale of spaces the shift operator satisfies a certain operator identity. By duality arguments this operator identity leads to an operator inequality for the Bergman shift operator in the parameter range $-1

Sturm's oscillation theorem says that the zeros of the nth eigenfunction of a Sturm-Liouville problem with separated boundary conditions divides the domain into n connected pieces. We present a proof of this theorem which partly uses a variational characterization of the eigenfunctions. We also show how the variational characterization can be adapted to study some properties of the eigenvalues

Imaging of stellar surfaces in visible wavelengths is one of the current frontiers in astronomy. With a few exceptions, stars can not be seen in visible light as anything but point objects with current technology. Being able to properly image stars would open up the door to a vast field of new discoveries, permitting direct studies of phenomena such as rotationally deformed stars, circumstellar di

This paper consists of two parts. In the first part the following problem is presented (see [1]): a king invites n couples for dinner at his round table with 2n+1 seats. For each couple there is an in advance prescribed distance between 1 and n at which the two spouses of the couple have to be seated from each other. We show that there is a solution to the king’s problem for every choice of distan

A Poisson integral formula for a weighted Laplacian in the unit disc Beskrivning: In this paper a counterpart of the classical Poisson integral formula is found for a weighted Laplace differential operator in the unit disc. In the process the corresponding Dirichlet boundary value problem is solved for arbitrary continuous boundary data. The associated power series expansions are calculated and in

Digital watermarking is done by adding a piece of data to a signal, which depending on the target media type, may be a picture, audio or video signal. The purpose of this additional signal is to provide a consistent signature linked to the original source which then remains through the act of copying. This allows the author to obstruct the act of theft by adding this signal to his or her creation.

In order to study the influence of the weather on the snowmelt in the Tarfala Valley, a survey of the runoff from the snow in the valley, was performed in May and June 1988, at the Tarfala Research Station. The aim of the survey was to find a simple numerical model that corresponds well to the runoff from the snow and to identify reasons for deviating runoff in different places. The survey was bas

Följande arbete utgör en 10 poängs-uppsats vid Naturgeografiska institutionen, Lunds universitet. Syftet med studien var att undersöka vilken skoglig information en Landsat TM scen innehåller avseende vissa skogliga beståndsvariabler. En skogsfastighet utanför Oskarshamn i Småland utgjorde undersökningsområde. Fastigheten består av cirka 1300 ha produktiv skogsmark indelat i 198 avdelningar. Lands

Undersökningen har visat att koncentrationer av luftföroreningar i bl a gatumiljö är avhängiga olika meteorologiska parametrar. Sålunda finns tydliga samband mellan koncentration och vindhastighet. Mellan koncentration och nederbörd respektive luftfuktighet finns någon typ av samband. De olika parametrarna påverkas i olika hög grad av omlandets och stadens morfologi. Rapporten redogör dels generel

Lönebildningen är en central samhällsprocess med avgörande betydelse för såväl den enskilde löntagaren, arbetsgivarna, arbetsmarknadens parter och staten. Den genererar förutsättningarna för bland annat sysselsättningen och den internationella konkurrenskraften. I en tvärvetenskaplig kontext av arbetsrätt med inslag av statsvetenskap, ekonomisk historia och arbetsmarknadsekonomi åskådliggörs en ko

In this essay the encyclopedia Kvinnan och hemmet from 1951 is examined by using Yvonne Hirdman’s theoretical framework of the gender system and its two principles and as a methodical approach the hermeneutic circle is used. The purpose of this essay is to analyze which female and male ideals that are to be found in Kvinnan och hemmet and how these ideals are described in relation to each other. T

Miljoner människor faller årligen offer för människohandel världen över och efterfrågan på framförallt kvinnor och barns sexuella tjänster är stor. Sverige har en unik lagstiftning mot köp av sexuella tjänster med nära koppling till och avskräckande effekt på människohandelsindustrin. För att möjliggöra mer nyanserade bedömningar, exempelvis i fall där den som erbjuder tjänsten är offer för männisEach year millions of people are victim of human trafficking and the demand for women’s and children's sexual services is particularly high. Sweden has a unique law criminalizing the purchase of sexual services, which is closely linked to the human trafficking industry. On July 1st, the maximum penalty for the purchase of sexual services will be raised to imprisonment for one year. This will a

The Black Scholes Merton (BSM) contingent claims approach to modeling corporate default risk entails mapping a distance to default (DD) to a probability of default (PD) in application. To accomplish this, the research community typically assumes a normal distribution. The authors question the practical relevancy of such research, since the BSM contingent claims approach most commonly used in pract