376 resultados para kemiallinen analyysi


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The aim of this study is to explore by systematic textual analysis the crucial conceptions of constructive alignment and to reconstruct the concept of constructive alignment and examine the relation between conceptual relationships in John Biggs’s texts. In this study, I have also analyzed the presuppositions of the concept of constructive alignment and its possible implications. The research material includes Biggs’s (1996b; 2003) article entitled Enhancing Teaching through Constructive Alignment and book entitled Teaching for Quality Learning at University. The primary purpose of the systematic textual analysis is to reconstruct concepts and gain access to a new or more profound understanding of the concepts. The main purpose of the constructive alignment is to design a teaching system that supports and encourages students to adopt a deep approach learning. At the center of the constructive alignment are two concepts: constructivism in learning and alignment in teaching. A tension was detected between these concepts. Biggs assumes that students’ learning activities are primed by the teaching. Because of this it is not important what the teacher does. At the same time he emphasizes that teaching interacts with learning. The teacher’s task is to support student’s appropriate learning activities. On the basis of the analysis, I conclude these conceptions are not mutually exclusive. Interaction between teaching and learning has an effect on student’s learning activities. The most essential benefit of the model of constructive alignment is that Biggs brings together and considers teaching at the same level with learning. A weakness of Biggs’s model relates to the theoretical basis and positions of the concept of constructive alignment. There are some conflicts between conceptions of epistemology in Biggs’s texts. In addition, Biggs writes about constructivism also as conceptions of epistemology, but doesn’t consider implications of that position or what follows or doesn’t follow from that commitment. On the basis of the analysis, I suggest that constructivism refers in Biggs’s texts rather to constructivism in learning than philosophical constructivism. In light of this study, constructive alignment doesn´t lead to philosophical constructivism. That’s why constructive alignment stays out of idealism. Biggs’s way of thinking about teachers possibility to confronting students’ misconceptions and evaluate and assess students’ constructions support a realist purpose in terms of philosophical stance. Realism does not drift toward general problems of relativism, like lack of criteria for assessing or evaluate these constructions.

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DOMESTIC SKILLS AS THE ART OF EVERYDAY LIFE. An inquiry about domestic skills as a way of being-in-the-world in the light of existentialist-hermeneutics phenomenology. This study focuses on analyzing domestic skills in a phenomenological manner. The description phenomenological emerges from the interpretation process, which originates from the ontological question of domestic skills. The ontological question of how domestic skills are directs one s phenomenological gaze to the experiencing of domestic skills, rather than merely viewing their action or technical aspects. Along with the ontological question, the axiological question of what the meaning of domestic skills is drives the analysis. This study is both theoretical and philosophical. Phenomenology is the guiding philosophy, theory and methodology of the inquiry. Existentialist-hermeneutics is the emphasis which most appropriately describes the phenomenological attitude adopted within the analysis. Martin Heidegger s philosophy of being and Maurice Merleau-Ponty s philosophy of the lived body essentially form the theoretical base for the inquiry. The analysis reveals domestic skills within a core of Care and the Other. Care and the Other are anchored both in Heidegger s analysis of Dasein and in Merleau-Ponty s analysis of the reversible being-in-the-world. The social nature of being and the action-oriented intentionality of the lived body are embodied in Care and the Other. This ontological base of domestic skills enables us to see the extensions that inhabit in it. These extensions are redoing, emotional experiencing, adapting and emancipating. The analysis connects ability and action, which is why domestic skills and household activity must be seen as a united whole. This united whole is not the matter of the two components of the phenomenon, but is rather the matter of domestic skills as a way of being-in-the-world. Domestic skills are a channel for the phenomenon Home Economics to manifest in our lives. This is the gaze that presents domestic skills as to be like the poetry of everyday life. The main result of the study is the elucidation of the ontology of domestic skills and the naming of its extensions. This growth of philosophical understanding makes it possible to strengthen the science of home economics.

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B. cereus is a gram-positive bacterium that possesses two different forms of life:the large, rod-shaped cells (ca. 0.002 mm by 0.004 mm) that are able to propagate and the small (0.001 mm), oval shaped spores. The spores can survive in almost any environment for up to centuries without nourishment or water. They are insensitive towards most agents that normally kill bacteria: heating up to several hours at 90 ºC, radiation, disinfectants and extreme alkaline (≥ pH 13) and acid (≤ pH 1) environment. The spores are highly hydrophobic and therefore make them tend to stick to all kinds of surfaces, steel, plastics and live cells. In favorable conditions the spores of B. cereus may germinate into vegetative cells capable of producing food poisoning toxins. The toxins can be heat-labile protein formed after ingestion of the contaminated food, inside the gastrointestinal tract (diarrhoeal toxins), or heat stable peptides formed in the food (emesis causing toxin, cereulide). Cereulide cannot be inactivated in foods by cooking or any other procedure applicable on food. Cereulide in consumed food causes serious illness in human, even fatalities. In this thesis, B. cereus strains originating from different kinds of foods and environments and 8 different countries were inspected for their capability of forming cereulide. Of the 1041 isolates from soil, animal feed, water, air, used bedding, grass, dung and equipment only 1.2 % were capable of producing cereulide, whereas of the 144 isolates originating from foods 24 % were cereulide producers. Cereulide was detected by two methods: by its toxicity towards mammalian cells (sperm assay) and by its peculiar chemical structure using liquid-chromatograph-mass spectrometry equipment. B. cereus is known as one of the most frequent bacteria occurring in food. Most foods contain more than one kind of B. cereus. When randomly selected 100 isolates of B. cereus from commercial infant foods (dry formulas) were tested, 11% of these produced cereulide. Considering a frequent content of 103 to 104 cfu (colony forming units) of B. cereus per gram of infant food formula (dry), it appears likely that most servings (200 ml, 30 g of the powder reconstituted with water) may contain cereulide producers. When a reconstituted infant formula was inoculated with >105 cfu of cereulide producing B. cereus per ml and left at room temperature, cereulide accumulated to food poisoning levels (> 0.1 mg of cereulide per serving) within 24 hours. Paradoxically, the amount of cereulide (per g of food) increased 10 to 50 fold when the food was diluted 4 - 15 fold with water. The amount of the produced cereulide strongly depended on the composition of the formula: most toxin was formed in formulas with cereals mixed with milk, and least toxin in formulas based on milk only. In spite of the aggressive cleaning practices executed by the modern dairy industry, certain genotypes of B. cereus appear to colonise the silos tanks. In this thesis four strategies to explain their survival of their spores in dairy silos were identified. First, high survival (log 15 min kill ≤ 1.5) in the hot alkaline (pH >13) wash liquid, used at the dairies for cleaning-in-place. Second, efficient adherence of the spores to stainless steel from cold water. Third, a cereulide producing group with spores characterized by slow germination in rich medium and well preserved viability when exposed to heating at 90 ºC. Fourth, spores capable of germinating at 8 ºC and possessing the psychrotolerance gene, cspA. There were indications that spores highly resistant to hot 1% sodium hydroxide may be effectively inactivated by hot 0.9% nitric acid. Eight out of the 14 dairy silo tank isolates possessing hot alkali resistant spores were capable of germinating and forming biofilm in whole milk, not previously reported for B. cereus. In this thesis it was shown that cereulide producing B. cereus was capable of inhibiting the growth of cereulide non-producing B. cereus occurring in the same food. This phenomenon, called antagonism, has long been known to exist between B. cereus and other microbial species, e.g. various species of Bacillus, gram-negative bacteria and plant pathogenic fungi. In this thesis intra-species antagonism of B. cereus was shown for the first time. This brother-killing did not depend on the cereulide molecule, also some of the cereulide non-producers were potent antagonists. Interestingly, the antagonistic clades were most frequently found in isolates from food implicated with human illness. The antagonistic property was therefore proposed in this thesis as a novel virulence factor that increases the human morbidity of the species B. cereus, in particular of the cereulide producers.

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It has been known for decades that particles can cause adverse health effects as they are deposited within the respiratory system. Atmospheric aerosol particles influence climate by scattering solar radiation but aerosol particles act also as the nuclei around which cloud droplets form. The principal objectives of this thesis were to investigate the chemical composition and the sources of fine particles in different environments (traffic, urban background, remote) as well as during some specific air pollution situations. Quantifying the climate and health effects of atmospheric aerosols is not possible without detailed information of the aerosol chemical composition. Aerosol measurements were carried out at nine sites in six countries (Finland, Germany, Czech, Netherlands, Greece and Italy). Several different instruments were used in order to measure both the particulate matter (PM) mass and its chemical composition. In the off-line measurements the samples were collected first on a substrate or filter and gravimetric and chemical analysis were conducted in the laboratory. In the on-line measurements the sampling and analysis were either a combined procedure or performed successively within the same instrument. Results from the impactor samples were analyzed by the statistical methods. This thesis comprises also a work where a method for the determination carbonaceous matter size distribution by using a multistage impactor was developed. It was found that the chemistry of PM has usually strong spatial, temporal and size-dependent variability. In the Finnish sites most of the fine PM consisted of organic matter. However, in Greece sulfate dominated the fine PM and in Italy nitrate made the largest contribution to the fine PM. Regarding the size-dependent chemical composition, organic components were likely to be enriched in smaller particles than inorganic ions. Data analysis showed that organic carbon (OC) had four major sources in Helsinki. Secondary production was the major source in Helsinki during spring, summer and fall, whereas in winter biomass combustion dominated OC. The significant impact of biomass combustion on OC concentrations was also observed in the measurements performed in Central Europe. In this thesis aerosol samples were collected mainly by the conventional filter and impactor methods which suffered from the long integration time. However, by filter and impactor measurements chemical mass closure was achieved accurately, and a simple filter sampling was found to be useful in order to explain the sources of PM on the seasonal basis. The online instruments gave additional information related to the temporal variations of the sources and the atmospheric mixing conditions.

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Tutkimukseni tehtävä on selvittää, millä tavoin CMX-yhtyeen sanoituksissa käytetään kristinuskoon liittyviä ilmaisuja. CMX on vuonna 1985 perustettu suomalainen yhtye, joka on vuoteen 2008 mennessä julkaissut kaksitoista täysimittaista albumia. CMX-yhtyettä on vaikea sijoittaa yhteen musiikin genreen. Yksinkertaistaen voidaan todeta, että yhtyeen musiikki kehittyi punkista raskaan rockin ja iskelmämusiikin yhdistelmäksi, joka sisältää runsaasti progressiivisen rockin piirteitä. Tutkimukseni kannalta yhtyeen keskeisin jäsen on sen basisti ja laulusolisti Aki Yrjänä, koska hän on myös sanoittanut kaikki tutkimuksessa analysoitavat kappaleet. Aki Yrjänä käyttää taiteilijanimeä A. W. Yrjänä. Valitsin tutkimukseni aineistoksi yhtyeen vuonna 1997 ilmestyneen Cloaca Maxima -levykokoelman, koska se esittelee kattavasti yhtyeen musiikkia vuosilta 1989-1997 ja sisältää valtaosan yhtyeen tunnetuimmista kappaleista. Etsin sanoituksista kristinuskoon liittyvät ilmaisut sisällönanalyysillä. Analysoin ilmaisuja lingvistisen semantiikan avulla sekä vertaamalla niitä erilaisiin uskonkäsityksiin neljässä tutkimusluvussa. Ensimmäinen tutkimusluku sisältää ilmaisut, jotka liittyvät kristinuskon organisaatioon. Analysoin siinä Cloaca Maximan kohdat, joissa mainitaan kirkko, alttari, saarnamies tai saarnaaja. Toinen tutkimusluku sisältää ilmaisut, jotka liittyvät raamatullisiin hahmoihin. Analysoin siinä Cloaca Maximan sanoitukset, joissa esiintyy Maria, Jeesus, Henki, Jumala, Saatana, Perkele, enkeleitä tai henkivaltoja. Olen myös analysoinut Aamutähti-kappaleen nimeä, joka voi Venus-planeetan lisäksi viitata kristillisessä traditiossa Mariaan, Jeesukseen tai Saatanaan. Kolmas tutkimusluku sisältää ilmaisut, jotka löytyvät sekä Cloaca Maximan sanoituksista että Raamatusta. Analysoin siinä Helvetin hyvä paimen -kappaleen nimeä, Jeesuksen "seuraa minua" -ilmaisua hyödyntävää Siivekäs-kappaleen kohtaa sekä Kätketty kukka -kappaleen sanoja, jotka liittyvät hautajaiskaavan siunaussanoihin. Sen lisäksi olen analysoinut kolmannessa tutkimusluvussa Cloaca Maximan sanoitukset, joissa esiintyy sana armo, taivaankansi tai taivaanvahvuus. Neljäs tutkimusluku sisältää ilmaisut, jotka osoittavat Jumalaan kohdistuvaa asennetta. Eri asenteiden keskeiset ajatukset ovat, että Jumalan löytäminen vaatii taitoa, ihmiset unohtavat Jumalan ja että Jumalaa ei ole olemassa. Tutkimukseni tuloksena on, että kristinuskoon liittyviä ilmaisuja käytetään Cloaca Maximan sanoituksissa hyvin erilaisissa tehtävissä. Ilmaisut itsessään ovat myös usein monitulkintaisia, ja kappaleen sisältämät ilmaisut voivat olla keskenään ristiriitaisia. Metaforina käytettävistä ilmaisuista erottuu kaksi ryhmää, joista ensimmäisen ryhmän ilmaisut toimivat kuoleman ja jälkimmäisen ryhmän ilmaisut subjektin tunteiden metaforina. Yrjänän eri lähteistä löytyvistä kommenteista voidaan päätellä, että hän ei halua ohjata kuulijoiden tekemiä tulkintoja mihinkään suuntaan ja että sanoituksien monitulkintaisuus on tarkoituksellista.

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Lipid analysis is commonly performed by gas chromatography (GC) in laboratory conditions. Spectroscopic techniques, however, are non-destructive and can be implemented noninvasively in vivo. Excess fat (triglycerides) in visceral adipose tissue and liver is known predispose to metabolic abnormalities, collectively known as the metabolic syndrome. Insulin resistance is the likely cause with diets high in saturated fat known to impair insulin sensitivity. Tissue triglyceride composition has been used as marker of dietary intake but it can also be influenced by tissue specific handling of fatty acids. Recent studies have shown that adipocyte insulin sensitivity correlates positively with their saturated fat content, contradicting the common view of dietary effects. A better understanding of factors affecting tissue triglyceride composition is needed to provide further insights into tissue function in lipid metabolism. In this thesis two spectroscopic techniques were developed for in vitro and in vivo analysis of tissue triglyceride composition. In vitro studies (Study I) used infrared spectroscopy (FTIR), a fast and cost effective analytical technique well suited for multivariate analysis. Infrared spectra are characterized by peak overlap leading to poorly resolved absorbances and limited analytical performance. In vivo studies (Studies II, III and IV) used proton magnetic resonance spectroscopy (1H-MRS), an established non-invasive clinical method for measuring metabolites in vivo. 1H-MRS has been limited in its ability to analyze triglyceride composition due to poorly resolved resonances. Using an attenuated total reflection accessory, we were able to obtain pure triglyceride infrared spectra from adipose tissue biopsies. Using multivariate curve resolution (MCR), we were able to resolve the overlapping double bond absorbances of monounsaturated fat and polyunsaturated fat. MCR also resolved the isolated trans double bond and conjugated linoleic acids from an overlapping background absorbance. Using oil phantoms to study the effects of different fatty acid compositions on the echo time behaviour of triglycerides, it was concluded that the use of long echo times improved peak separation with T2 weighting having a negligible impact. It was also discovered that the echo time behaviour of the methyl resonance of omega-3 fats differed from other fats due to characteristic J-coupling. This novel insight could be used to detect omega-3 fats in human adipose tissue in vivo at very long echo times (TE = 470 and 540 ms). A comparison of 1H-MRS of adipose tissue in vivo and GC of adipose tissue biopsies in humans showed that long TE spectra resulted in improved peak fitting and better correlations with GC data. The study also showed that calculation of fatty acid fractions from 1H-MRS data is unreliable and should not be used. Omega-3 fatty acid content derived from long TE in vivo spectra (TE = 540 ms) correlated with total omega-3 fatty acid concentration measured by GC. The long TE protocol used for adipose tissue studies was subsequently extended to the analysis of liver fat composition. Respiratory triggering and long TE resulted in spectra with the olefinic and tissue water resonances resolved. Conversion of the derived unsaturation to double bond content per fatty acid showed that the results were in accordance with previously published gas chromatography data on liver fat composition. In patients with metabolic syndrome, liver fat was found to be more saturated than subcutaneous or visceral adipose tissue. The higher saturation observed in liver fat may be a result of a higher rate of de-novo-lipogenesis in liver than in adipose tissue. This thesis has introduced the first non-invasive method for determining adipose tissue omega-3 fatty acid content in humans in vivo. The methods introduced here have also shown that liver fat is more saturated than adipose tissue fat.

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This study takes as its premise the prominent social and cultural role that the couple relationship has acquired in modern society. Marriage as a social institution and romantic love as a cultural script have not lost their significance but during the last few decades the concept of relationship has taken prominence in our understanding of the love relationship. This change has taken place in a society governed by the therapeutic ethos. This study uses material ranging from in-depth interviews to various mass media texts to investigate the therapeutic logic that determines our understanding of the couple relationship. The central concept in this study is therapeutic relationship which does not refer to any particular type of relationship. In contemporary usage the relationship is, by definition, therapeutic. The therapeutic relationship is seen as an endless source of conflict and a highly complex dynamic unit in constant need of attention and treatment. Notwithstanding this emphasis on therapy and relationship work the therapeutic relationship lacks any morally or socially defined direction. Here lies the cultural power and according to critics the dubious aspect of the therapeutic ethos. For the therapeutic logic any reason for divorce is possible and plausible. Prosaically speaking the question is not whether to divorce or not, but when to divorce. In the end divorce only attests to the complexity of the relationship. The therapeutic understanding of the relationship gives the illusion that relationships with their tensions and conflicting emotions can be fully transferred to the sphere of transparency and therapeutic processing. This illusion created by relationship talk that emphasizes individual control is called omnipotence of the individual. However, the study shows that the individual omnipotence is inevitably limited and hence cracks appear in it. The cracks in the omnipotence show that while the therapeutic relationship based on the ideal of communication gives an individual a mode of speaking that stresses autonomy, equality and emotional gratification, it offers little help in expressing our fundamental dependence on other people. The study shows how strong an attraction the therapeutic ethos has with its grasp on the complexities of the relationship in a society where divorce is so common and the risk of divorce is collectively experienced.

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Lipid analysis is commonly performed by gas chromatography (GC) in laboratory conditions. Spectroscopic techniques, however, are non-destructive and can be implemented noninvasively in vivo. Excess fat (triglycerides) in visceral adipose tissue and liver is known predispose to metabolic abnormalities, collectively known as the metabolic syndrome. Insulin resistance is the likely cause with diets high in saturated fat known to impair insulin sensitivity. Tissue triglyceride composition has been used as marker of dietary intake but it can also be influenced by tissue specific handling of fatty acids. Recent studies have shown that adipocyte insulin sensitivity correlates positively with their saturated fat content, contradicting the common view of dietary effects. A better understanding of factors affecting tissue triglyceride composition is needed to provide further insights into tissue function in lipid metabolism. In this thesis two spectroscopic techniques were developed for in vitro and in vivo analysis of tissue triglyceride composition. In vitro studies (Study I) used infrared spectroscopy (FTIR), a fast and cost effective analytical technique well suited for multivariate analysis. Infrared spectra are characterized by peak overlap leading to poorly resolved absorbances and limited analytical performance. In vivo studies (Studies II, III and IV) used proton magnetic resonance spectroscopy (1H-MRS), an established non-invasive clinical method for measuring metabolites in vivo. 1H-MRS has been limited in its ability to analyze triglyceride composition due to poorly resolved resonances. Using an attenuated total reflection accessory, we were able to obtain pure triglyceride infrared spectra from adipose tissue biopsies. Using multivariate curve resolution (MCR), we were able to resolve the overlapping double bond absorbances of monounsaturated fat and polyunsaturated fat. MCR also resolved the isolated trans double bond and conjugated linoleic acids from an overlapping background absorbance. Using oil phantoms to study the effects of different fatty acid compositions on the echo time behaviour of triglycerides, it was concluded that the use of long echo times improved peak separation with T2 weighting having a negligible impact. It was also discovered that the echo time behaviour of the methyl resonance of omega-3 fats differed from other fats due to characteristic J-coupling. This novel insight could be used to detect omega-3 fats in human adipose tissue in vivo at very long echo times (TE = 470 and 540 ms). A comparison of 1H-MRS of adipose tissue in vivo and GC of adipose tissue biopsies in humans showed that long TE spectra resulted in improved peak fitting and better correlations with GC data. The study also showed that calculation of fatty acid fractions from 1H-MRS data is unreliable and should not be used. Omega-3 fatty acid content derived from long TE in vivo spectra (TE = 540 ms) correlated with total omega-3 fatty acid concentration measured by GC. The long TE protocol used for adipose tissue studies was subsequently extended to the analysis of liver fat composition. Respiratory triggering and long TE resulted in spectra with the olefinic and tissue water resonances resolved. Conversion of the derived unsaturation to double bond content per fatty acid showed that the results were in accordance with previously published gas chromatography data on liver fat composition. In patients with metabolic syndrome, liver fat was found to be more saturated than subcutaneous or visceral adipose tissue. The higher saturation observed in liver fat may be a result of a higher rate of de-novo-lipogenesis in liver than in adipose tissue. This thesis has introduced the first non-invasive method for determining adipose tissue omega-3 fatty acid content in humans in vivo. The methods introduced here have also shown that liver fat is more saturated than adipose tissue fat.

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This thesis explores migration and the attractiveness of urban living in the Greater Helsinki region. The aim of the thesis is to explore the attractiveness of the city of Helsinki in terms of regional migration and to identify what characterizes migration to Helsinki. The study focuses in particular on housing, which is a key factor influencing migration decisions in the region. Other central themes in the study are housing policy and regional competition among municipalities. This study focuses solely on households moving within Finnish borders excluding international migration. Migration is examined by comparing in- and out-migration in Helsinki, as well as studying migration to the city s inner and outer areas. The primary research material in the study is a questionnaire data collected by the National Consumer Research Centre. In this thesis the data is used for studying migrants aged 25 45. The main research method is analyzing the data statistically using the SPSS software. Methods include frequency analysis, cross tabulation, factor analysis and descriptive analysis. Additionally, statistical data is used to complement the questionnaire data. The research results indicate that Helsinki s in- and out-migration differs both in terms of the type of households that migrate as well as in the reasons why they migrate. Furthermore, differences can also be detected between migration to the inner and outer parts of Helsinki. According to the research results, a household s current phase of life is crucial in determining where and why they move within the Greater Helsinki region. A household s set of values on the other hand, seems to have a lesser impact on migration within the region, even though households moving to Helsinki seem to value a somewhat more urban lifestyle than the ones moving out of the city. The research also shows a direct correlation between the values of migrants and their current phase of life. Decisions of migrating are heavily influenced by wider societal issues. In the Greater Helsinki region the labor and housing market appear to have a great influence on the direction of migration streams. According to the results, households move to and from Helsinki for different reasons. The primary reasons for moving to Helsinki are related to the city s diverse labor market and to the working careers of households. Issues related to urban living and an urban lifestyle seem to be relevant although not the main reason why people move to Helsinki. The research material indicates that Helsinki s urban environment is both a pull and a push factor affecting the decisions of migrants. The city attracts those seeking urban living, but on the contrary does not appeal to households seeking more space and wishing to live closer to nature. According to the research, Helsinki with its densely built urban environment mainly attracts singles and childless couples, whereas the city region s other municipalities are more attractive for families with children. Housing policy is one of the main reasons determining where people move within the Helsinki region. As for the city of Helsinki, improving the city s attractiveness seems to be closely linked to how well the city manages to execute its future housing policies and how well alternative living preferences can be taken into account in planning.

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Cliffordin algebrat ovat äärellisulotteisia reaali- tai kompleksikertoimisia algebroja, jotka yleistävät kvaterneja ja kompleksilukuja. Näitä algebroja on kutsuttu myös geometrisiksi algebroiksi. Tässä tutkielmassa tarkastellaan analyysiä Cliffordin algebroilla ja sen sovelluksia. Analyysi tässä tarkoittaa sitä, että tarkastellaan Cliffordin algebraarvoisia funktioita, jotka omaavat erikseen määriteltyjä sileysominaisuuksia. Sovelluskohteina ovat osittaisdifferentiaaliyhtälöt ja reuna-arvo-ongelmat. Menetelmät ovat klassisia kompleksianalyysin menetelmiä. Tutkielmassa esitellään Cliffordin algebrat yleisille neliömuodollisille avaruuksille. Keskeisiä algebrallisia ominaisuuksia ovat Frobeniuksen teoreema ja perusoperaatiot. On yleisesti tunnettua, että kvaterneilla voidaan esittää kolmiulotteisen ja neljäulotteisen avaruuden rotaatiot. Tutkielmassa esitellään, miten Cliffordin ryhmiä, jotka ovat Cliffordin algebrojen osajoukkoja, käytetään useamman ulottuvuuden rotaatioiden esityksessä. Toinen sovelluskohde on Möbius-kuvausten esittäminen Vahlenin matriiseilla. Tutkielman toisessa osiossa määritellään monogeeniset funktiot erään Diracin operaattorin nollaratkaisuina. Monogeenisten funktioiden pääominaisuus on Cauchyn integraalikaava. Välittömiä seurauksia ovat esimerkiksi potenssisarjakehitelmät, analyyttisuus, Liuvillen teoreema ja muut klassisen kompleksianalyysin tuloksien yleistykset. Toisaalta monet kompleksianalyysin tulokset eivät yleisty. Esimerkiksi monogeenisten funktioiden tulo ei ole yleisesti ottaen monogeeninen. Potenssisarjat voidaan esittää monogeenisten polynomeiden avulla. Esitämme kannan monogeenisten polynomien avaruudelle käyttäen CK-laajennusta. Cauchyn ytimen ominaisuuksien avulla tarkastelemme Diracin operaattorin reuna-arvo-ongelmia ja nk. D-ongelmaa. Käyttäen Rungen lauseen yleistystä osoitamme D-ongelman yleisen ratkaistavuuden. Toisaalta reuna-arvo-ongelman ratkaistavuus karakterisoidaan käyttäen Cauchyn ytimen reuna-arvo-ominaisuuksia ja hyppyrelaatioita. Keskeinen sovellus tuloksille on aikaharmonisen Maxwellin yhtälön reuna-arvo-ongelmien tarkastelu. Mielenkiintoista on myös, miten Diracin operaattori linearisoi Laplacen operaattorin ja aalto-operaattorin. Toisaalta Diracin operaattorin avulla voidaan ilmaista Maxwellin yhtälöt tiiviissä muodossa. Muita tuloksia tutkielmassa ovat meromorfifunktioiden määritelmä ja Mittag-Lefflerin lause. Tutkielman lopuksi tarkastellaan lyhyesti harmonisten funktioiden ja monogeenisten funktioiden suhdetta. Jokainen harmoninen funktio on jonkin monogeenisen funktion reaaliosa. Tosin monogeeninen funktio ei ole yksikäsitteisesti määrätty sen reaaliosan avulla.