Komplexa tal - vad är det?

Komplexa tal har traditionellt undervisats i de finländska gymnasierna som en valbar kurs. Denna situation har för��ndrats i och med de nya läroplanerna som tagits i bruk senast hösten 2005. Den nya, striktare läroplanen ger inte lika stora valmöjligheter för skolorna att bestämma undervisningsstoffet, inte ens för de valbara kurserna, och därför har många gymnasier varit tvungna att sluta undervisa om komplexa tal. För att fortsättningsvis ge en möjlighet för gymnasieelever att studera komplexa tal finns detta kompendium. Kompendiet fyller två syften. I de gymnasier där komplexa tal fortfarande finns med i läroplanen kan kompendiet användas som läromedel på ifr��gavarande kurs. Kompendiet torde vara önskat eftersom det inte existerar något modernt, finlandssvenskt läromedel där de komplexa talen tas upp. Kompendiets andra, huvudsakliga syfte är att finnas till att ge en möjlighet för de elever, som inte går ett gymnasium där komplexa tal undervisas, att på egen hand lära sig grunder om komplexa tal. Kunskap om utvidgandet av talomr��det fr��n reella talen till komplexa hör till matematisk allmänbildning, och är till stor nytta om man är intresserad av att fortsätta studera matematik eller naturvetenskaper efter gymnasiet. Kompendiet kommer att läggas ut på nätet för att få det lättillgängligt. I det första kapitlet behandlas matematikens uppkomst. Det andra kapitlet är en introduktion till varför man behöver komplexa tal, där gås tal- och mängdlära igenom samtidigt som de i kompendiet använda beteckningarna introduceras. I det tredje kapitlet behandlas de komplexa talen; grundläggande r��kneregler, absolutbelopp och argument, komplexa tal i polär form och lösning till högregradsekvationer är centrala begrepp. de Moivers formel är ett av de viktigare målen, även Eulers formel behandlas kort. Problematik med negativa kvadratr��tter tas också upp. Det fjärde kapitlet handlar om de komplexa talens intressanta historia. I kompendiet finns rikligt med exempel och övningsuppgifter. Kapitel fem innehåller extra övningsuppgifter och i kapitel sex finns lösningarna till samtliga uppgifter. Trots att kompendiets omfång avsevärt ökas i och med dessa lösningar är det av värde att de finns med för att kompendiets huvudsakliga syfte skall uppfyllas: att eleverna på egen hand skall kunna lära sig stoffet.

Correspondence with N.H. Gould, Newport, R.I.

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Senataxin controls meiotic silencing through ATR activation and chromatin remodeling

Senataxin, defective in ataxia oculomotor apraxia type 2, protects the genome by facilitating the resolution of RNA–DNA hybrids (R-loops) and other aspects of RNA processing. Disruption of this gene in mice causes failure of meiotic recombination and defective meiotic sex chromosome inactivation, leading to male infertility. Here we provide evidence that the disruption of Setx leads to reduced SUMOylation and disruption of protein localization across the XY body during meiosis. We demonstrate that senataxin and other DNA damage repair proteins, including ataxia telangiectasia and Rad3-related protein-interacting partner, are SUMOylated, and a marked downregulation of both ataxia telangiectasia and Rad3-related protein-interacting partner and TopBP1 leading to defective activation and signaling through ataxia telangiectasia and Rad3-related protein occurs in the absence of senataxin. Furthermore, chromodomain helicase DNA-binding protein 4, a component of the nucleosome remodeling and deacetylase chromatin remodeler that interacts with both ataxia telangiectasia and Rad3-related protein and senataxin was not recruited efficiently to the XY body, triggering altered histone acetylation and chromatin conformation in Setx−/− pachytene-staged spermatocytes. These results demonstrate that senataxin has a critical role in ataxia telangiectasia and Rad3-related protein- and chromodomain helicase DNA-binding protein 4-mediated transcriptional silencing and chromatin remodeling during meiosis providing greater insight into its critical role in gene regulation to protect against neurodegeneration.

Temperature-dependence of 35Cl N.Q.R. in sodium chloroacetate

N.q.r. in sodium chloroacetate has been investigated at temperatures from 77 K to room temperature (c.300 K). A single line has been observed throughout this temperature range. Torsional frequencies of the molecule have been calculated in the above temperature range from Bayer's theory. Also the temperature coefficient of the torsional frequencies has been calculated by Brown's method.

Beatific Enjoyment in Scholastic Philosophy and Theology: 1240-1335

This dissertation examines the concept of beatific enjoyment (fruitio beatifica) in scholastic theology and philosophy in the thirteenth and early fourteenth century. The aim of the study is to explain what is enjoyment and to show why scholastic thinkers were interested in discussing it. The dissertation consists of five chapters. The first chapter deals with Aurelius Augustine's distinction between enjoyment and use and the place of enjoyment in the framework of Augustine's view of the passions and the human will. The first chapter also focuses upon the importance of Peter Lombard's Sentences for the transmission of Augustine's treatment of enjoyment in scholastic thought as well as upon Lombard's understanding of enjoyment. The second chapter treats thirteenth-century conceptions of the object and psychology of enjoyment. Material for this chapter is provided by the writings - mostly Sentences commentaries - of Alexander of Hales, Albert the Great, Bonaventure, Thomas Aquinas, Peter of Tarentaise, Robert Kilwardby, William de la Mare, Giles of Rome, and Richard of Middleton. The third chapter inspects early fourteenth-century views of the object and psychology of enjoyment. The fourth chapter focuses upon discussions of the enjoyment of the Holy Trinity. The fifth chapter discusses the contingency of beatific enjoyment. The main writers studied in the third, fourth and fifth chapters are John Duns Scotus, Peter Aureoli, Durandus of Saint Pour��ain, William of Ockham, Walter Chatton, Robert Holcot, and Adam Wodeham. Historians of medieval intellectual history have emphasized the significance of the concept of beatific enjoyment for understanding the character and aims of scholastic theology and philosophy. The concept of beatific enjoyment was developed by Augustine on the basis of the insight that only God can satisfy our heart's desire. The possibility of satisfying this desire requires a right ordering of the human mind and a detachment of the will from the relative goals of earthly existence. Augustine placed this insight at the very foundation of the notion of Christian learning and education in his treatise On Christian Doctrine. Following Augustine, the twelfth-century scholastic theologian Peter Lombard made the concept of enjoyment the first topic in his plan of systematic theology. The official inclusion of Lombard's Sentences in the curriculum of theological studies in the early universities stimulated vigorous discussions of enjoyment. Enjoyment was understood as a volition and was analyzed in relation to cognition and other psychic features such as rest and pleasure. This study shows that early fourteenth-century authors deepened the analysis of enjoyment by concentrating upon the relationship between enjoyment and mental pleasure, the relationship between cognition and volition, and the relationship between the will and the beatific object (i.e., the Holy Trinity). The study also demonstrates the way in which the idea of enjoyment was affected by changes in the method of theological analysis - the application of Aristotelian logic in a Trinitarian context and the shift from virtue ethics to normative ethics.

Der Orden Pour le Mérite für Wissenschaften und Künste von 1842 bis 1983.

A brochure, listing all members of the order, 1842-1983. A typescript adds members until 1985 and lists Jewish members, 1842-1981.

Eru Ilúvatar : Jumala J.R.R. Tolkienin legendariumissa

The purpose of my research is to inquire into the essence and activity of God in the legendarium of the English philologist and writer J.R.R. Tolkien (1892-1973). The legendarium, composed of Tolkien’s writings related to Middle-earth, was begun when he created two Elvish languages, Quenya based on Finnish, Sindarin based on Welsh. Tolkien developed his mythology inspired by Germanic myths and The Kalevala. It is a fictional ancient history set in our world. The legendarium is monotheistic: God is called Eru ‘The One’ and Ilúvatar ‘Father of All’. Eru is the same as the Christian God, for Tolkien wanted to keep his tales consistent with his faith. He said his works were Christian by nature, with the religious element absorbed into the story and the symbolism. In The Silmarillion, set in the primeval ages of Middle-earth, the theological aspects are more conspicuous, while in The Lord of the Rings, which brings the stories to an end, they are mostly limited to symbolic references. The legendarium is unified by its realistic outlook on creaturely abilities and hope expressing itself as humbly defiant resistance. ”The possibility of complexity or of distinctions in the nature of Eru” is a part of the legendarium. Eru Ilúvatar is Trinitarian, as per Tolkien’s faith. Without contextual qualifiers, Eru seems to refer to God the Father, like God in the Bible. Being the creator who dwells outside the world is attributed to Him. The Holy Spirit is the only Person of the Trinity bestown with names: the Flame Imperishable and the Secret Fire. When Eru creates the material world with His word, He sends the Flame Imperishable to burn at the heart of the world. The Secret Fire signifies the Creative Power that belongs to God alone, and is a part of Him. The Son, the Word, is not directly mentioned, but according to one writing Eru must step inside the world in order to save it from corruption, yet remain outside it at the same time. The inner structure of the legendarium refers to the need for a future salvation. The creative word of Eru, “Eä! Let these things Be!”, probably has a connection with the Logos in Christianity. Thus we can find three “distinctions” in Eru: a Creator who dwells outside the world, a Sustainer who dwells inside it and a Redeemer who shall step inside it. Some studies of Tolkien have claimed that Eru is distant and remote. This seems to hold water only partially. Ilúvatar, the Father of All, has a special relation with the Eruhíni, His Children, the immortal Elves and the mortal Men. He communicates with them directly only through the Valar, who resemble archangels. Nevertheless, only the Children of Eru can fight against evil, because their tragic fortunes turn evil into good. Even though religious activities are scarce among them, the fundamental faith and ultimate hope of the “Free Peoples” is directed towards Eru. He is present in the drama of history as the “Author of the Story”, who at times also interferes with its course through catastrophes and eucatastrophes, ‘good catastrophes’. Eru brings about a catastrophe when evil would otherwise bring good to an end, and He brings about a eucatasrophe when creaturely strength is not sufficent for victory. Victory over corruption is especially connected with mortal Men, of whom the most (or least) insignificant people are the Hobbits. However, because of the “primeval disaster��� (that is, fall) of Mankind, ultimate salvation can only remain open, a hope for the far future.

Evidence of Partisan Emphasis on EMU during 1994–1999 : Comparing Finnish Parties

This study explores the EMU stand taken by the major Finnish political parties from 1994 to 1999. The starting point is the empirical evidence showing that party responses to European integration are shaped by a mix of national and cross-national factors, with national factors having more explanatory value. The study is the first to produce evidence that classified party documents such as protocols, manifestos and authoritative policy summaries may describe the EMU policy emphasis. In fact, as the literature review demonstrates, it has been unclear so far what kind of stand the three major Finnish political parties took during 1994–1999. Consequently, this study makes a substantive contribution to understanding the factors that shaped EMU party policies, and eventually, the national EMU policy during the 1990s. The research questions addressed are the following: What are the main factors that shaped partisan standpoints on EMU during 1994–1999? To what extent did the policy debate and themes change in the political parties? How far were the policies of the Social Democratic Party, the Centre Party and the National Coalition Party shaped by factors unique to their own national contexts? Furthermore, to what extent were they determined by cross-national influences from abroad, and especially from countries with which Finland has a special relationship, such as Sweden? The theoretical background of the study is in the area of party politics and approaches to EU policies, and party change, developed mainly by Kevin Featherstone, Peter Mair and Richard Katz. At the same time, it puts forward generic hypotheses that help to explain party standpoints on EMU. It incorporates a large quantity of classified new material based on primary research through content analysis and interviews. Quantitative and qualitative methods are used sequentially in order to overcome possible limitations. Established content-analysis techniques improve the reliability of the data. The coding frame is based on the salience theory of party competition. Interviews with eight party leaders and one independent expert civil servant provided additional insights and improve the validity of the data. Public-opinion surveys and media coverage are also used to complete the research path. Four major conclusions are drawn from the research findings. First, the quantitative and the interview data reveal the importance of the internal influences within the parties that most noticeably shaped their EMU policies during the 1990s. In contrast, international events play a minor role. The most striking feature turned out to be the strong emphasis by all of the parties on economic goals. However, it is important to note that the factors manifest differences between economic, democratic and international issues across the three major parties. Secondly, it seems that the parties have transformed into centralised and professional organisations in terms of their EMU policy-making. The weight and direction of party EMU strategy rests within the leadership and a few administrative elites. This could imply changes in their institutional environment. Eventually, parties may appear generally less differentiated and more standardised in their policy-making. Thirdly, the case of the Social Democratic Party shows that traditional organisational links continue to exist between the left and the trade unions in terms of their EMU policy-making. Hence, it could be that the parties have not yet moved beyond their conventional affiliate organisations. Fourthly, parties tend to neglect citizen opinion and demands with regard to EMU, which could imply conflict between the changes in their strategic environment. They seem to give more attention to the demands of political competition (party-party relationships) than to public attitudes (party-voter relationships), which would imply that they have had to learn to be more flexible and responsive. Finally, three suggestions for institutional reform are offered, which could contribute to the emergence of legitimised policy-making: measures to bring more party members and voter groups into the policy-making process; measures to adopt new technologies in order to open up the policy-formation process in the early phase; and measures to involve all interest groups in the policy-making process.

R U there yet? using virtual classrooms to transform teaching practice

Access to quality higher education is challenging for many Western Australians that live outside the metropolitan area. In 2010, the School of Education moved to flexible delivery of a fully online Bachelor of Education degree for their non -metropolitan students. The new model of delivery allows access for students from any location provided they have a computer and an internet connection. A number of academic staff had previously used an asynchronous environment to deliver learning modules housed within a learning management system (LMS) but had not used synchronous software with their students. To enhance the learning environment and to provide high quality learning experiences to students learning at a distance, the adoption of synchronous software (Elluminate Live) was introduced. This software is a real-time virtual classroom environment that allows for communication through Voice over Internet Protocol (VoIP) and videoconferencing, along with a large number of collaboration tools to engage learners. This research paper reports on the integration of a live e-learning solution into the current LMS environment. Qualitative data were collected from academic staff through informal interviews and participant observation. The findings discuss (i) perceived level of support; (ii) identification of strategies used to create an effective online teacher presence; (iii) the perceived impact on the students' learning outcomes; and (iv) guidelines for professional development to enhance pedagogy within the live e-learning environment.

PolyPatEx : an R package for paternity exclusion in autopolyploids

Microsatellite markers have demonstrated their value for performing paternity exclusion and hence exploring mating patterns in plants and animals. Methodology is well established for diploid species, and several software packages exist for elucidating paternity in diploids; however, these issues are not so readily addressed in polyploids due to the increased complexity of the exclusion problem and a lack of available software. We introduce polypatex, an r package for paternity exclusion analysis using microsatellite data in autopolyploid, monoecious or dioecious/bisexual species with a ploidy of 4n, 6n or 8n. Given marker data for a set of offspring, their mothers and a set of candidate fathers, polypatex uses allele matching to exclude candidates whose marker alleles are incompatible with the alleles in each offspring–mother pair. polypatex can analyse marker data sets in which allele copy numbers are known (genotype data) or unknown (allelic phenotype data) – for data sets in which allele copy numbers are unknown, comparisons are made taking into account all possible genotypes that could arise from the compared allele sets. polypatex is a software tool that provides population geneticists with the ability to investigate the mating patterns of autopolyploids using paternity exclusion analysis on data from codominant markers having multiple alleles per locus.

Studies on Plant Demography: Ranunculus Repens L., R. Bulbosus L. and R. Acris L.: III. A Mathematical Model Incorporating Multiple Modes of Reproduction

This paper presents a comparative population dynamics study of three closely related species of buttercups (Ranunculus repens, R. acris, and R. bulbosus). The study is based on an investigation of the behaviour of the seeds in soil under field conditions and a continuous monitoring of survival and reproduction of some 9000 individual plants over a period of 21/2 years in a coastal grassland in North Wales. The data were analysed with the help of an extension of Leslie's matrix method which makes possible an simultaneous treatment of vegetative and sexual reproduction. It was found that R. repens (a) depends more heavily on vegetative as compared with sexual reproduction, (b) shows indications of negatively density-dependent population regulation, and (c) exhibits little variation in population growth rates from site to site and from one year to the next. In contrast, R. bulbosus (a) depends exclusively on sexual reproduction, (b) shows indications of a positively density-dependent population behaviour, and (c) exhibits great variation in population growth rates from site to site and from one year to the next. R. acris exhibits an intermediate behaviour in all these respects. It is suggested that the attributes of R. repens are those expected of a species inhabiting a stable environment, while R. bulbosus exhibits some of the characteristics of a fugitive species.

Sequence distribution in Acrylonitrile-methylacrylate random copolymers by N.M.R spectroscopy

The sequence distribution studies on the acrylonitrile-methylmethacrylate copolymer of high methylmethacrylate (M) content (30%R studies is reported in this paper. A tentative assignment has been made forthe isolated M centered unit AMA, 2M centered units MMA (or AMM) based on the shape of the peaks observed for methixy and a-methyl protons. The presence of MMM type of triad sequences is indicated by the pattern of a-methyl protons.

Molecular characterisation of the Vacuolating Autotransporter Toxin in Uropathogenic Escherichia coli

The vacuolating autotransporter (AT) toxin (Vat) contributes to Uropathogenic Escherichia coli (UPEC) fitness during systemic infection. Here we characterised Vat and investigated its regulation in UPEC. We assessed the prevalence of vat in a collection of 45 UPEC urosepsis strains and showed that it was present in 31 (68%) of the isolates. The isolates containing the vat gene corresponded to three major E. coli sequence types (ST12, 73 and 95) and these strains secreted the Vat protein. Further analysis of the vat genomic locus identified a conserved gene located directly downstream of vat that encodes a putative MarR-like transcriptional regulator, which we termed vatX. The vat-vatX genes were present in the UPEC reference strain CFT073 and RT-PCR revealed both genes are co-transcribed. Over-expression of vatX in CFT073 led to a 3-fold increase in vat gene transcription. The vat promoter region contained three putative nucleation sites for the global transcriptional regulator H-NS; thus the hns gene was mutated in CFT073 (to generate CFT073hns). Western blot analysis using a Vat-specific antibody revealed a significant increase in Vat expression in CFT073hns compared to wild-type CFT073. Direct H-NS binding to the vat promoter region was demonstrated using purified H-NS in combination with electrophoresis mobility shift assays. Finally, Vat-specific antibodies were detected in plasma samples from urosepsis patients infected by vat-containing UPEC strains, demonstrating Vat is expressed during infection. Overall, this study has demonstrated that Vat is a highly prevalent and tightly regulated immunogenic SPATE secreted by UPEC during infection.

Load-Deflection Behavior of Restrained R/C Skew Slabs

A method is presented for determining the complete load-deflection behavior of reinforced concrete skew slabs restrained at the edges and subjected to uniformly-distributed loading. The analysis is considered in three stages. In the first stage the load-deflection behavior up to the cracking load is considered. The behavior between the cracking load and the yield line load is considered in the second stage. The load-deflection behavior beyond the yield line load, taking into account the effect of the membrane action, is considered in the third stage. Details of an experimental program of casting and testing 12 reinforced concrete skew slabs restrained at the edges are presented to verify the results of the analysis.

N. m. r. and infrared spectroscopic studies of hydrogen bonding in hindered alcohols. An instance of a true hydrogen bonded dimer in an alcohol

Hydrogen bonding in the highly hindered alcohol 2,4-dimethyl-3-ethyl-3-pentanol has been studied by proton n.m.r. and infrared spectroscopy. This alcohol associates to form a dimer but no higher hydrogen bonded species; hence the monomer���dimer equilibrium can be studied without interference from competing processes. Spectral and thermodynamic properties for the hydrogen bonding are reported.