This paper gives an introduction to the theory of minimal Surfaces. It is in- tended for undergraduate students with some basic knowledge of differential geometry and complex analysis.After defining the concept of minimal surface and giving a brief histo- rical survey, we look at some well-known minimal Surfaces and a few of their characteristic properties. The connection between minimal Surfaces and harmonic functions is discussed and the Weierstrass-Enneper represen- tation formulas are introduced. We also present Bjo?rling?s problem and give some examples. .

This paper gives an introduction to the theory of minimal Surfaces. It is in- tended for undergraduate students with some basic knowledge of differential geometry and complex analysis.After defining the concept of minimal surface and giving a brief histo- rical survey, we look at some well-known minimal Surfaces and a few of their characteristic properties. The connection between minimal Surfaces and harmonic functions is discussed and the Weierstrass-Enneper represen- tation formulas are introduced. We also present Bjo?rling?s problem and give some examples. .

This paper gives an introduction to the theory of minimal Surfaces. It is in- tended for undergraduate students with some basic knowledge of differential geometry and complex analysis.After defining the concept of minimal surface and giving a brief histo- rical survey, we look at some well-known minimal Surfaces and a few of their characteristic properties. The connection between minimal Surfaces and harmonic functions is discussed and the Weierstrass-Enneper represen- tation formulas are introduced. We also present Bjo?rling?s problem and give some examples. .

This paper gives an introduction to the theory of minimal Surfaces. It is in- tended for undergraduate students with some basic knowledge of differential geometry and complex analysis.After defining the concept of minimal surface and giving a brief histo- rical survey, we look at some well-known minimal Surfaces and a few of their characteristic properties. The connection between minimal Surfaces and harmonic functions is discussed and the Weierstrass-Enneper represen- tation formulas are introduced. We also present Bjo?rling?s problem and give some examples. .

This paper gives an introduction to the theory of minimal Surfaces. It is in- tended for undergraduate students with some basic knowledge of differential geometry and complex analysis.After defining the concept of minimal surface and giving a brief histo- rical survey, we look at some well-known minimal Surfaces and a few of their characteristic properties. The connection between minimal Surfaces and harmonic functions is discussed and the Weierstrass-Enneper represen- tation formulas are introduced. We also present Bjo?rling?s problem and give some examples. .

This paper gives an introduction to the theory of minimal Surfaces. It is in- tended for undergraduate students with some basic knowledge of differential geometry and complex analysis.After defining the concept of minimal surface and giving a brief histo- rical survey, we look at some well-known minimal Surfaces and a few of their characteristic properties. The connection between minimal Surfaces and harmonic functions is discussed and the Weierstrass-Enneper represen- tation formulas are introduced. We also present Bjo?rling?s problem and give some examples. .

Gliding and sealing functions in Öhlins shock absorbing systems sets great demands onthe contacting Surfaces. In this particular case, the bushings and the sealings on acylinder piston. The surface wanted is a surface with both low frictional forces and smallleakage. This study was done with the goals of investigating and determining existingSurfaces due to the frictional force and leakage. How can we in an easy mannerdescribe these?A number of ten front forks were part of a main study.

A computer model based on minimization of the free energy, capable to predict contact angles and spreading transitions between Wenzel and Cassie mode for drops placed on Surfaces with different topography were implemented in matlab. Simulations were compared with experiments documented in the literature. These showed that reported transitions between Cassie and Wenzel mode can be explained by minimization of the free energy. In this report, a study on the possibility of constructing water repellent paper Surfaces with a combination of treatment with octadecyltrichlorosilane and topography changes, is included..

At present day there are several different methods for measuring of paved Surfaces.The most common methods today are measuring with a total station, the GlobalNavigation Satellite System (GNSS) and terrestrial laser scanning (TLS). Recently thedevelopment of unmanned aerial vehicles, known as drones, has increasedexponentially and today there are several ways of using drones for measuring Surfacesby photographing and laser scanning.This thesis contains a comparison between the methods terrestrial laser scanning(TLS), and unmanned aerial vehicle photogrammetry (UAV). The measurements havebeen applied on two different test Surfaces, one of asphalt and one of gravel. Thepurpose of the comparison is to investigate whether the airborne photogrammetry isequivalent accurate in its height levels as the terrestrial laser scanning. For thecomparison to be more extensive, these two methods have not only been comparedin precision but also in the areas of ease of use and economy.The precision was analyzed by comparing the height levels in randomly placed controlpoints on the test Surfaces.

Aim: The aim of this study was to examine and explain the various methods available to rate the erosion damage, and on which teeth and tooth Surfaces of erosion damage mostly occurs in children and adolescents.Method: A literature review was conducted, based on 15 scientific articles that have been reviewed, evaluated and analyzed. Articles were searched for in the database PubMed.Result: Six of the articles used the TWI (tooth wear index), which is an index to diagnose the tooth wear in the primary and permanent dentition. Eight articles used other indices as they considered that the TWI was not sufficiently developed to register the degree of tooth wear on some teeth. Tooth wear in the primary dentition occurs most often in the canines and incisors. Tooth wear in the permanent dentition was found in the literature to be mostly occurring on the occlusal / incisal Surfaces of all teeth and tooth Surfaces.LyssnaConclusion: There is no common index in the articles but many of them use the TWI.

The kitchen is one of the most important rooms in our homes. It is a place for social engagements, meetings between people and activity. How the kitchen looks today is a concept sprung from the Swedish kitchen standard of 1952. Eventhou this standard no longer exists it is a model of how kitchens are designed today. The kitchens most often sold today come from one of four major kitchen manufacturers in Sweden.My thesis investiges an alternative kitchen concept.

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..

Storm water is rain and melted snow that runs off, primarily from impervious Surfaces.Future storm water management is facing the challenges of increased precipitation, asclimate changes, and increased areas of impervious Surfaces due to the expansion anddensification of the cities. Impervious Surfaces reduce the potential for water to infiltratein the ground leading to increased surface runoff and higher peak discharge.The runoff coefficient is closely related to the percentage of impervious Surfaces andrepresents the maximum percentage of a catchment that can contribute to runoff. In thisstudy, the objective was to evaluate the weighted runoff coefficient for three differenturban types; apartment buildings, townhouses and residential areas and a comparisonbetween today and the 1970`s was made.The runoff coefficient was determined by manual mapping of the different surface typesin each area based on data in the form of orthophotos and aerial photographs. The surfacetypes that were mapped were asphalt, permeable areas, tiles, sand/gravel and roof.Tiles and sand/gravel were the most difficult surface types to map. In order to see towhat extent these categories influenced the weighted runoff coefficient a sensitivityanalysis was carried out and the runoff coefficient based on surface type was changed indifferent scenarios.The results of the sensitivity analysis showed that the surface types tiles and sand/gravelhad little impact on the weighted runoff coefficient which in mainly due to the fact thatthe percentage of these Surfaces types of the total area is small.The result of the study showed that the largest change in the runoff coefficient occurredin residential areas where the increase in the percentage of impervious Surfaces causedby new roofs in the form of porches and garages and from paved or tiled driveways.

During the past 30 years the fuels for energy production in heating and power plants have changed. Fossil fuels have decreased in usage whereas bio fuels in Sweden have increased with 60% since the 1970's. Different fuels affects combustion and the release of various substances and particles into the flue gas. This is caused by the diverse components and chemical structures of fossil fuels and bio fuels. When the flue gas leave the combustion chamber and enters the path to the chimney particles in the gas are being transported out of the combustion chamber.

ABSTRACTThe aim of the study was to examine the prevalence and the location as well as the registration of gingival recessions among patients between 20-29 years of age, who are treated on the Dental Hygienist Programme at the University of Kristianstad. The study was performed as a recording study, where the first page of the base record paper was examined. We examined 295 base records. The result showed that gingival recessions only were registered on 3 % (n=10). Most of the injuries, 53 % (n=157), had been registered as toothbrush trauma.