Splittings of free groups, normal forms and partitions of ends

Splittings of a free group correspond to embedded spheres in the 3-manifold M = # (k) S (2) x S (1). These can be represented in a normal form due to Hatcher. In this paper, we determine the normal form in terms of crossings of partitions of ends corresponding to normal spheres, using a graph of trees representation for normal forms. In particular, we give a constructive proof of a criterion determining when a conjugacy class in pi (2)(M) can be represented by an embedded sphere.

Completeness of the Coulomb wave functions in quantum mechanics

We give an explicit, direct, and fairly elementary proof that the radial energy eigenfunctions for the hydrogen atom in quantum mechanics, bound and scattering states included, form a complete set. The proof uses only some properties of the confluent hypergeometric functions and the Cauchy residue theorem from analytic function theory; therefore it would form useful supplementary reading for a graduate course on quantum mechanics.

Optical Tweezers for Single Molecule Biology

Molecular machinery on the micro-scale, believed to be the fundamental building blocks of life, involve forces of 1-100 pN and movements of nanometers to micrometers. Micromechanical single-molecule experiments seek to understand the physics of nucleic acids, molecular motors, and other biological systems through direct measurement of forces and displacements. Optical tweezers are a popular choice among several complementary techniques for sensitive force-spectroscopy in the field of single molecule biology. The main objective of this thesis was to design and construct an optical tweezers instrument capable of investigating the physics of molecular motors and mechanisms of protein/nucleic-acid interactions on the single-molecule level. A double-trap optical tweezers instrument incorporating acousto-optic trap-steering, two independent detection channels, and a real-time digital controller was built. A numerical simulation and a theoretical study was performed to assess the signal-to-noise ratio in a constant-force molecular motor stepping experiment. Real-time feedback control of optical tweezers was explored in three studies. Position-clamping was implemented and compared to theoretical models using both proportional and predictive control. A force-clamp was implemented and tested with a DNA-tether in presence of the enzyme lambda exonuclease. The results of the study indicate that the presented models describing signal-to-noise ratio in constant-force experiments and feedback control experiments in optical tweezers agree well with experimental data. The effective trap stiffness can be increased by an order of magnitude using the presented position-clamping method. The force-clamp can be used for constant-force experiments, and the results from a proof-of-principle experiment, in which the enzyme lambda exonuclease converts double-stranded DNA to single-stranded DNA, agree with previous research. The main objective of the thesis was thus achieved. The developed instrument and presented results on feedback control serve as a stepping stone for future contributions to the growing field of single molecule biology.

Phase-shift randomness in one-dimensional disordered conductors in the quasi-metallic domain

An invariant imbedding method yields exact analytical results for the distribution of the phase theta (L) of the reflection amplitude and for low-order resistance moments (pn) for a disordered conductor of length L in the quasi-metallic regime L<proof of the validity of the random-phase assumption for studying scaling of resistance in one dimension is thus obtained.

Microstructure and Properties of the Spray-Formed and Extruded 7075 Al Alloy

In the present investigation, a very good combination of strength and ductility, 630MPa 0.2% proof stress and 14.8% elongation to fracture in tensile test, has been obtained for the 7075 Al alloy after optimizing the processing parameters for spray forming, hot extruding the spray deposit, and peak aging the samples taken from the extruded rod. The spray deposits contained some porosity but it was almost eliminated on hot extrusion. Electron probe microanalysis revealed that even though spray forming was carried out in an open atmosphere, it did not affect the oxygen content and its distribution in the material on spray forming, because the atomizing argon gas provided a protective cover to molten droplets and prevented their oxidation. The chemical composition of the spray-formed material was found to be almost the same as the raw material, and the major alloying elements were found to be uniformly distributed in the extruded rod.

Corporate Brand Repositioning with CSR as the Differentiating Factor: A Study on Consumer Perceptions

Purpose – This research paper studies how the strategy of repositioning enables marketers to communicate CSR as their brand’s differentiating factor. It aims at understanding how consumer perceptions can be managed to generate brand value through corporate brand repositioning when CSR is the differentiating factor. The purpose of this paper is to answer the following research question: How can consumer perceptions be managed to generate brand value through corporate brand repositioning when CSR is the differentiating factor? The two research objectives were: 1. to build a model, which describes the different components of consumer perceptions involved in generation of brand value through repositioning when CSR is the differentiating factor, 2. to identify the most critical components in the context of the case company, IKEA for generation of brand value during the process of corporate brand repositioning Design/methodology/approach – This paper is based on the literature review covering the logic of brand value generation, repositioning strategy and consumer perceptions connected to CSR activities. A key concept of the positioning theory, the brand’s differentiating factor, was explored. Previous studies have concluded that desirability of the differentiating factor largely determines the level of brand value-creation for the target customers. The criterion of desirability is based on three dimensions: relevance, distinctiveness and believability. A model was built in terms of these desirability dimensions. This paper takes a case study approach where the predefined theoretical framework is tested using IKEA as the case company. When developing insights on the multifaceted nature of brand perceptions, personal interviews and individual probing are vital. They enable the interviewees to reflect on their feelings and perceptions with their own words. This is why the data collection was based on means-end type of questioning. Qualitative interviews were conducted with 12 consumers. Findings – The paper highlights five critical components that may determine whether IKEA will fail in its repositioning efforts. The majority of the critical components involved believability perceptions. Hence, according to the findings, establishing credibility and trustworthiness for the brand in the context of CSR seems primary. The most critical components identified of the believability aspect were: providing proof of responsible codes of conduct via conducting specific and concrete CSR actions, connecting the company’s products and the social cause, and building a linkage between the initial and new positioning while also weakening the old positioning. Originality/value – Marketers’ obligation is to prepare the company for future demands. Companies all over the globe have recognized the durable trend of responsibility and sustainability. Consumer´s worry about the environmental and social impact of modern lifestyles is growing. This is why Corporate Social Responsibility (CSR) provides brands an important source of differentiation and strength in the future. The strategy of repositioning enables marketers to communicate CSR as their brand’s differentiating factor. This study aimed at understanding how consumer perceptions can be managed to generate brand value through corporate brand repositioning when CSR is the differentiating factor.

Tax havens and their impacts on the non-haven countries

Tax havens have attracted increasing attention from the authorities of non-haven countries. The financial crisis exacerbates the negative attitude to tax havens. Offshore zones are now under strong pressure from the international, both financial and political institutions. Thus, the thesis will focus on the current problem of the modern economy, namely tax havens and their impact on the non-haven countries. This thesis will be based on the several articles, in particular “Tax Competition With Parasitic Tax Havens” by Joel Slemrod and John D. Wilson (University of Michigan, 2009) and “Do Havens Divert Economic Activity” by James R. Hines Jr., C. Fritz Foley and Mihir A. Desai (Ross School of Business, 2005). This paper provides two completely different and contradictory viewpoints on the problem of coexisting tax havens and non-haven countries. There are two models, examined in this work, present two important researches. The first one will be concentrated on the positive effect from tax havens whereas the last model will be focused on the completely negative effect from offshore jurisdictions. The first model gives us a good explanation and proof of its statement why tax havens can positively influence on nearby high-tax countries. It describes that the existence of offshore jurisdictions can stimulate the growth of operations and facilitates economic activity in non-haven countries. In contrast to above mentioned, the model with quite opposite view was presented. This economic model and its analysis confirms the undesirability of the existence of offshore areas. Taking into consideration, that the jurisdictions choose their optimal policy, the elimination of offshores will have positive impact on the rest of countries. The model proofs the statement that full or partial elimination of tax havens raises the equilibrium level of the public good and increases country welfare. According to the following study, it can be concluded that both of the models provide telling arguments to prove their assertions. Thereby both of these points of view have their right to exist. Nevertheless, the ongoing debate concerning this issue still will raise a lot of questions.

Evidence in European Asylum Procedures

This thesis explores the particular framework of evidentiary assessment of three selected appellate national asylum procedures in Europe and discusses the relationship between these procedures, on the one hand, and between these procedures and other legal systems, including the EU legal order and international law, on the other. A theme running throughout the thesis is the EU strivings towards approximation of national asylum procedures and my study analyses the evidentiary assessment of national procedures with the aim of pinpointing similarities and differences, and the influences which affect these distinctions. The thesis first explores the frames construed for national evidentiary solutions by studying the object of decision-making and the impact of legal systems outside the national. Second, the study analyses the factual evidentiary assessment of three national procedures - German, Finnish and English. Thirdly, the study explores the interrelationship between these procedures and the legal systems influencing them and poses questions in relation to the strivings of EU and methods of convergence. The thesis begins by stating the framework and starting points for the research. It moves on to establish keys of comparison concerning four elements of evidentiary assessment that are of importance to any appellate asylum procedure, and that can be compared between national procedures, on the one hand, and between international, regional and national frameworks, on the other. Four keys of comparison are established: the burden of proof, demands for evidentiary robustness, the standard of proof and requirements for the methods of evidentiary assessment. These keys of comparison are then identified in three national appellate asylum procedures, and in order to come to conclusions on the evidentiary standards of the appellate asylum procedures, relevant elements of the asylum procedures in general are presented. Further, institutional, formal and procedural matters which have an impact on the evidentiary standards in the national appellate procedures are analysed. From there, the thesis moves on to establish the relationship between national evidentiary standards and the legal systems which affect them, and gives reasons for similarities and divergences. Further, the thesis studies the impact of the national frameworks on the regional and international level. Lastly, the dissertation makes a de lege ferenda survey of the relationship between EU developments, the goal of harmonization in relation to national asylum procedures and the particular feature of evidentiary standards in national appellate asylum procedures. Methodology The thesis follows legal dogmatic methods. The aim is to analyse legal norms and legal constructions and give them content and context. My study takes as its outset an understanding of the purposes for legal research also regarding evidence and asylum to determine the contents of valid law through analysis and systematization. However, as evidentiary issues traditionally are normatively vaguely defined, a strict traditional normative dogmatic approach is not applied. For the same reason a traditionalist and strict legal positivism is not applied. The dogmatics applied to the analysis of the study is supported by practical analysis. The aim is not only to reach conclusions concerning the contents of legal norms and the requirements of law, but also to study the use and practical functioning of these norms, giving them a practcial context. Further, the study relies on a comparative method. A functionalist comparative method is employed and keys of comparison are found in evidentiary standards of three selected national appellate asylum procedures. The functioning equivalences of German, Finnish and English evidentiary standards of appellate asylum procedures are compared, and they are positioned in an European and international legal setting. Research Results The thesis provides results regarding the use of evidence in national appellate asylum procedures. It is established that evidentiary solutions do indeed impact on the asylum procedure and that the results of the procedure are dependent on the evidentiary solutions made in the procedures. Variations in, amongst other things, the interpretation of the burden of proof, the applied standard of proof and the method for determining evidentiary value, are analysed. It is established that national impacts play an important role in the adaptation of national appellate procedures to external requirements. Further, it is established that the impact of national procedures on as well the international framework as on EU law varies between the studied countries, partly depending on the position of the Member State in legislative advances at the EU level. In this comparative study it is, further, established that the impact of EU requirements concerning evidentiary issues may be have positive as well as negative effects with regard to the desired harmonization. It is also concluded that harmonization using means of convergence that primaly target legal frameworks may not in all instances be optimal in relation to evidentiary standards, and that more varied and pragmatic means of convergence must be introduced in order to secure harmonization also in terms of evidence. To date, legal culture and traditions seem to prevail over direct efforts at procedural harmonization.

Spectral Invariance of SG Pseudo-Differential Operators on L-P(R-n)

We prove the spectral invariance of SG pseudo-differential operators on L-P(R-n), 1 < p < infinity, by using the equivalence of ellipticity and Fredholmness of SG pseudo-differential operators on L-p(R-n), 1 < p < infinity. A key ingredient in the proof is the spectral invariance of SC pseudo-differential operators on L-2(R-n).

Estradiol - 17β induces polyaromatic hydrocarbon-inducible cytochrome P-450 in chicken liver

A cDNA clone has been isolated from a chicken liver library prepared against messenger RNA isolated after chronic estradiol-17β treatment. The clone, pP-450 IA - 61, has an insert of 900nt and the sequence shows high homology to CYPIA2 subfamily from four other species. A single injection of estradiol-17β to immature chicken results in a striking induction of mRNA hybridizing to labeled pP-450IA - 61. The probe also hybridizes to mRNA induced by 3 — methylcholanthrene in chicken. These results offer direct proof for the similarity in the mode of action at the transcriptional level of polyaromatic hydrocarbons and estrogenic compounds.

Factors affecting perceptions of corporate social responsibility implementation: an emphasis on values

This dissertation is a broad study of factors affecting perceptions of CSR issues in multiple stakeholder realms, the main purpose being to determine the effects of the values of individuals on their perceptions regarding CSR. It examines perceptions of CSR both at the emic (observing individuals and stakeholders) and etic levels (conducting cross-cultural comparison) through a descriptive-empirical research strategy. The dissertation is based on quantitative interview data among Chinese, Finnish and US stakeholder groups of industry companies (with an emphasis on the forest industries) and consists of four published articles and two submitted manuscripts. Theoretically, this dissertation provides a valuable and unique philosophical and intellectual perspective on the contemporary study of CSR `The Harmony Approach to CSR'. Empirically, this dissertation does values assessment and CSR evaluation of a wide variety of business activities covering CSR reporting, business ethics, and three dimensions of CSR performance. From the multi-stakeholder perspective, this dissertation use survey methods to examine the perceptions and stakeholder salience in the context of CSR by describing, comparing the differences between demographic factors as well as hypothetical drivers behind perceptions. The results of study suggest that the CSR objective of a corporation's top management should be to manage the divergent and conflicting interests of multiple stakeholders, taking others than key stakeholders into account as well. The importance of values as a driver of ethical behaviour and decision-making has been generally recognized. This dissertation provides more empirical proof of this theory by highlighting the effects of values on CSR perceptions. It suggests that since the way to encourage responsible behaviour and develop CSR is to develop individual values and cultivate their virtues, it is time to invoke the critical role of moral (ethics) education. The specific studies of China and comparison between Finland and the US contribute to a common understanding of the emerging CSR issues, problems and opportunities for the future of sustainability. The similarities among these countries can enhance international cooperation, while the differences will open up opportunities and diversified solutions for CSR in local conditions.

Dual-trap optical tweezers with real-time force clamp control

Single molecule force clamp experiments are widely used to investigate how enzymes, molecular motors, and other molecular mechanisms work. We developed a dual-trap optical tweezers instrument with real-time (200 kHz update rate) force clamp control that can exert 0–100 pN forces on trapped beads. A model for force clamp experiments in the dumbbell-geometry is presented. We observe good agreement between predicted and observed power spectra of bead position and force fluctuations. The model can be used to predict and optimize the dynamics of real-time force clamp optical tweezers instruments. The results from a proof-of-principle experiment in which lambda exonuclease converts a double-stranded DNA tether, held at constant tension, into its single-stranded form, show that the developed instrument is suitable for experiments in single molecule biology.

The role of p73 in cancer – a pathway towards more effective cancer therapy

The p53-family consists of three transcription factors, p53, p73 and p63. The family members have similar but also individual functions connected to cell cycle regulation, development and tumorigenesis. p53 and p73 act mainly as tumor suppressors. During DNA damage caused by anticancer drugs or irradiation, p53 and p73 levels are upregulated in cancer cells leading to apoptosis and cell cycle arrest. p53 is mutated in almost 50 per cent of the cancers, causing the cancer cells unable to undergo cell death. Instead, p73 is rarely mutated in cancer cells and because of that could be more viable target for anticancer therapy. The network surrounding the regulation of p73 is extensive and has several potential targets for cancer therapy. One of the most studied is Itch ligase, the negative regulator of p73 levels. Gene therapy directed towards knockdown of Itch ligase is a potential approach but in need for more in vivo proof. p73 has two isoforms, transactivating TA-forms and dominant-negative ΔN-forms. The specific regulation of these isoforms could also offer a possible way for more effective cancer treatment. The literature work includes information of structures, isoforms, functions and possible therapeutic targets of p73. Also the main therapeutic approaches to date are introduced. The experimental part is based on transfection and cytotoxicity studies done e.g. in pancreatic cancer cells (Mia PaCa-2, PANC1, BxPc-3 and HPAC). The aim of the experimental work was to optimize the conditions for effective transfection with DAB16 dendrimer nanoparticles and to measure the cytotoxicity of plain dendrimers and DAB16-pDNA complexes. Also the protein levels of p73 and Itch ligase were measured by Western blotting. The work was done as a part of a bigger project, which was aiming to down regulate Itch ligase (negative regulator of p73) by siRNA/shRNA. Tranfection results were promising, showing good transfection efficacy with DAB16 N/P30 in pancreatic cancer cells (except in BxPc-3). Pancreatic cancer cells showed recovery in 3 days after they were exposed to plain dendrimer solution or to DAB16-pDNA. Measurement of protein levels by Western blotting was not optimal and the proposals for the improvement regarding e.g. the gels and the extracted protein amounts have been done.

In-Network Computation in Random Wireless Networks: A PAC Approach to Constant Refresh Rates with Lower Energy Costs

We propose a method to compute a probably approximately correct (PAC) normalized histogram of observations with a refresh rate of Theta(1) time units per histogram sample on a random geometric graph with noise-free links. The delay in computation is Theta(root n) time units. We further extend our approach to a network with noisy links. While the refresh rate remains Theta(1) time units per sample, the delay increases to Theta(root n log n). The number of transmissions in both cases is Theta(n) per histogram sample. The achieved Theta(1) refresh rate for PAC histogram computation is a significant improvement over the refresh rate of Theta(1/log n) for histogram computation in noiseless networks. We achieve this by operating in the supercritical thermodynamic regime where large pathways for communication build up, but the network may have more than one component. The largest component however will have an arbitrarily large fraction of nodes in order to enable approximate computation of the histogram to the desired level of accuracy. Operation in the supercritical thermodynamic regime also reduces energy consumption. A key step in the proof of our achievability result is the construction of a connected component having bounded degree and any desired fraction of nodes. This construction may also prove useful in other communication settings on the random geometric graph.

Proofs, Paradoxes, and Probabilities : The Logical Turn of Philosophy in Finland

This monograph describes the emergence of independent research on logic in Finland. The emphasis is placed on three well-known students of Eino Kaila: Georg Henrik von Wright (1916-2003), Erik Stenius (1911-1990), and Oiva Ketonen (1913-2000), and their research between the early 1930s and the early 1950s. The early academic work of these scholars laid the foundations for today's strong tradition in logic in Finland and also became internationally recognized. However, due attention has not been given to these works later, nor have they been comprehensively presented together. Each chapter of the book focuses on the life and work of one of Kaila's aforementioned students, with a fourth chapter discussing works on logic by authors who would later become known within other disciplines. Through an extensive use of correspondence and other archived material, some insight has been gained into the persons behind the academic personae. Unique and unpublished biographical material has been available for this task. The chapter on Oiva Ketonen focuses primarily on his work on what is today known as proof theory, especially on his proof theoretical system with invertible rules that permits a terminating root-first proof search. The independency of the parallel postulate is proved as an example of the strength of root-first proof search. Ketonen was to our knowledge Gerhard Gentzen's (the 'father' of proof theory) only student. Correspondence and a hitherto unavailable autobiographic manuscript, in addition to an unpublished article on the relationship between logic and epistemology, is presented. The chapter on Erik Stenius discusses his work on paradoxes and set theory, more specifically on how a rigid theory of definitions is employed to avoid these paradoxes. A presentation by Paul Bernays on Stenius' attempt at a proof of the consistency of arithmetic is reconstructed based on Bernays' lecture notes. Stenius correspondence with Paul Bernays, Evert Beth, and Georg Kreisel is discussed. The chapter on Georg Henrik von Wright presents his early work on probability and epistemology, along with his later work on modal logic that made him internationally famous. Correspondence from various archives (especially with Kaila and Charlie Dunbar Broad) further discusses his academic achievements and his experiences during the challenging circumstances of the 1940s.