858 resultados para Triangle Inequality


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This month’s long-awaited release of the Trans-Pacific Partnership (TPP) text was the result of years of negotiations on trade ties between nations around the Pacific Rim. Some six weeks earlier, another set of deliberations came to an end as the United Nations unveiled its 17 Sustainable Development Goals (SDGs), which aim to eradicate poverty and reduce inequality by addressing critical issues such as food security, health care, access to education, clean and affordable water, clean energy, and climate action. Unfortunately, the two documents are incompatible. Several chapters of the TPP impinge upon the SDGs, potentially undermining the UN’s efforts to promote sustainable development and equality throughout the Pacific region. Moreover, many developing countries, least-developed countries, and small island states in the Pacific region are excluded from the preferential trade deal.

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Tools known as maximal functions are frequently used in harmonic analysis when studying local behaviour of functions. Typically they measure the suprema of local averages of non-negative functions. It is essential that the size (more precisely, the L^p-norm) of the maximal function is comparable to the size of the original function. When dealing with families of operators between Banach spaces we are often forced to replace the uniform bound with the larger R-bound. Hence such a replacement is also needed in the maximal function for functions taking values in spaces of operators. More specifically, the suprema of norms of local averages (i.e. their uniform bound in the operator norm) has to be replaced by their R-bound. This procedure gives us the Rademacher maximal function, which was introduced by Hytönen, McIntosh and Portal in order to prove a certain vector-valued Carleson's embedding theorem. They noticed that the sizes of an operator-valued function and its Rademacher maximal function are comparable for many common range spaces, but not for all. Certain requirements on the type and cotype of the spaces involved are necessary for this comparability, henceforth referred to as the “RMF-property”. It was shown, that other objects and parameters appearing in the definition, such as the domain of functions and the exponent p of the norm, make no difference to this. After a short introduction to randomized norms and geometry in Banach spaces we study the Rademacher maximal function on Euclidean spaces. The requirements on the type and cotype are considered, providing examples of spaces without RMF. L^p-spaces are shown to have RMF not only for p greater or equal to 2 (when it is trivial) but also for 1 < p < 2. A dyadic version of Carleson's embedding theorem is proven for scalar- and operator-valued functions. As the analysis with dyadic cubes can be generalized to filtrations on sigma-finite measure spaces, we consider the Rademacher maximal function in this case as well. It turns out that the RMF-property is independent of the filtration and the underlying measure space and that it is enough to consider very simple ones known as Haar filtrations. Scalar- and operator-valued analogues of Carleson's embedding theorem are also provided. With the RMF-property proven independent of the underlying measure space, we can use probabilistic notions and formulate it for martingales. Following a similar result for UMD-spaces, a weak type inequality is shown to be (necessary and) sufficient for the RMF-property. The RMF-property is also studied using concave functions giving yet another proof of its independence from various parameters.

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Grave sculpture as interpreter of life and death. Grave sculptures done by Heikki Häiväoja, Kain Tapper and Matti Peltokangas 1952-2002. The thoughts of Philippe Ariès and Erwin Panofsky on western funeral art constitute the starting point of this study. These scholars speak about the 20th century as a period of decline regarding western funeral art. The reason for this situation lies, according to them, in the fact that death has been rejected and become a private affair in modern society. Especially Panofsky sees an important reason for the decay of funeral art also in the separation of death from religion. In this study, I approach the view of Ariès and Panofsky from the angle of Finnish funeral art. The subject of the study is grave sculptures of three Finnish sculptors: Heikki Häiväoja, Kain Tapper and Matti Peltokangas, from 1952 to 2002. (The analysis of the grave sculptures has been performed with the Iconology of Erwin Panofsky. The analysis has been deepened by the ideas of a graveyard as a semiotic text according to Werner Enninger and Christa Schwens. In order to confirm their argumentation, they analyse the graveyard text with the model of communicative functions of Roman Jakobson and verify that the graveyard is a cultural text according to Juri Lotman.) Results of the study In the grave sculptures of the sculptors, different worldviews appear alongside Christian thoughts indicating a new stage in the tradition of funeral art. In the grave sculptures characterised as Christian, the view of life after death is included. In these memorials the direction of life is prospective, pointing to the life beyond. Death is a border, beyond which one is unable to see. Nevertheless the border is open or marked by the cross. On this open border, death is absence of pain, glory and new unity. In memorials with different worldviews, the life beyond is a possibility which is not excluded. Memorials interpret life retrospectively; life is a precious memory which wakens grief and longing. Many memorials have metaphysical and mystic features. In spite of democratization the order and valuation of social classes appear in some memorials. The old order also materializes in the war memorials relating the same destiny of the deceased. Different burial places, nevertheless, do not indicate social inequality but are rather signs of diversity. The sculptors' abstract means of modern funeral art deepen the handling of the subject matter of death and reveal the mystery of it. Grave sculptures are a part of Finnish and sacral modern art, and there is an interaction between funeral art and modern art. Modern art acquires a new dimension, when grave sculptures become a part of its field. Grave sculptures offer an alternative to anonymous burying. The memorial is a sign of the end of life; it gives death significance and publicity and creates a relation to the past of the society. In this way, grave sculptures are a part of the chain of memory of the western funeral art, which extends throughout Antiquity until ancient Egypt. (In this study I have spoken of funeral art as a chain of memory using the thoughts of Danièle Hervieu-Léger.) There are no signs of decay in the grave sculptures, on the contrary the tradition of funeral art continues in them as a search for the meaning of life and death and as an intuitive interpretation of death. As such, grave sculptures are part of the Finnish discussion of death.

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Austria and Finland are persistently referred to as the “success stories” of post-1945 European history. Notwithstanding their different points of departure, in the course of the Cold War both countries portrayed themselves as small and neutral border-states in the world dictated by superpower politics. By the 1970s, both countries frequently ranked at the top end in various international classifications regarding economic development and well-being in society. This trend continues today. The study takes under scrutiny the concept of consensus which figures centrally in the two national narratives of post-1945 success. Given that the two domestic contexts as such only share few direct links with one another and are more obviously different than similar in terms of their geographical location, historical experiences and politico-cultural traditions, the analogies and variations in the anatomies of the post-1945 “cultures of consensus” provide an interesting topic for a historical comparative and cross-national examination. The main research question concerns the identification and analysis of the conceptual and procedural convergence points of the concepts of the state and consensus. The thesis is divided into six main chapters. After the introduction, the second chapter presents the theoretical framework in more detail by focusing on the key concepts of the study – the state and consensus. Chapter two also introduces the comparative historical and cross-national research angles. Chapter three grounds the key concepts of the state and consensus in the historical contexts of Austria and Finland by discussing the state, the nation and democracy in a longer term comparative perspective. The fourth and fifth chapter present case studies on the two policy fields, the “pillars”, upon which the post-1945 Austrian and Finnish cultures of consensus are argued to have rested. Chapter four deals with neo-corporatist features in the economic policy making and chapter five discusses the building up of domestic consensus regarding the key concepts of neutrality policies in the 1950s and 1960s. The study concludes that it was not consensus as such but the strikingly intense preoccupation with the theme of domestic consensus that cross-cut, in a curiously analogous manner, the policy-making processes studied. The main challenge for the post-1945 architects of Austrian and Finnish cultures of consensus was to find strategies and concepts for consensus-building which would be compatible with the principles of democracy. Discussed at the level of procedures, the most important finding of the study concerns the triangular mechanism of coordination, consultation and cooperation that set into motion and facilitated a new type of search for consensus in both post-war societies. In this triangle, the agency of the state was central, though in varying ways. The new conceptions concerning a small state’s position in the Cold War world also prompted cross-nationally perceivable willingness to reconsider inherited concepts and procedures of the state and the nation. At the same time, the ways of understanding the role of the state and its relation to society remained profoundly different in Austria and Finland and this basic difference was in many ways reflected in the concepts and procedures deployed in the search for consensus and management of domestic conflicts. For more detailed information, please consult the author.

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This thesis is grounded on four articles. Article I generally examines the factors affecting dental service utilization. Article II studies the factors associated with sector-specific utilization among young adults entitled to age-based subsidized dental care. Article III explores the determinants of dental ill-health as measured by the occurrence of caries and the relationship between dental ill-health and dental care use. Article IV measures and explains income-related inequality in utilization. Data employed were from the 1996 Finnish Health Care Survey (I, II, IV) and the 1997 follow-up study included in the longitudinal study of the Northern Finland 1966 Birth Cohort (III). Utilization is considered as a multi-stage decision-making process and measured as the number of visits to the dentist. Modified count data models and concentration and horizontal equity indices were applied. Dentist s recall appeared very efficient at stimulating individuals to seek care. Dental pain, recall, and the low number of missing teeth positively affected utilization. Public subvention for dental care did not seem to statistically increase utilization. Among young adults, a perception of insufficient public service availability and recall were positively associated with the choice of a private dentist, whereas income and dentist density were positively associated with the number of visits to private dentists. Among cohort females, factors increasing caries were body mass index and intake of alcohol, sugar, and soft drinks and those reducing caries were birth weight and adolescent school achievement. Among cohort males, caries was positively related to the metropolitan residence and negatively related to healthy diet and education. Smoking increased caries, whereas regular teeth brushing, regular dental attendance and dental care use decreased caries. We found equity in young adults utilization but pro-rich inequity in the total number of visits to all dentists and in the probability of visiting a dentist for the whole sample. We observed inequity in the total number of visits to the dentist and in the probability of visiting a dentist, being pro-poor for public care but pro-rich for private care. The findings suggest that to enhance equal access to and use of dental care across population and income groups, attention should focus on supply factors and incentives to encourage people to contact dentists more often. Lowering co-payments and service fees and improving public availability would likely increase service use in both sectors. To attain favorable oral health, appropriate policies aimed at improving dental health education and reducing the detrimental effects of common risk factors on dental health should be strengthened. Providing equal access with respect to need for all people ought to take account of the segmentation of the service system, with its two parallel delivery systems and different supplier incentives to patients and dentists.

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Regional autonomy in Indonesia was initially introduced as a means of pacifying regional disappointment at the central government. Not only did the Regional Autonomy Law of 1999 give the Balinese a chance to express grievance regarding the centralist policies of the Jakarta government but also provided an opportunity to return to the regional, exclusive, traditional village governance (desa adat). As a result, the problems faced by the island, particularly ethnic conflicts, are increasingly handled by the mechanism of this traditional type of governance. Traditional village governance with regard to ethnic conflicts (occurring) between Balinese and migrants has never been systematically analyzed. Existing analyses emphasized only the social context, but do not explain either the cause of conflicts and the ensuing problems entails or the virtues of traditional village governance mechanisms for mediating in the conflict. While some accounts provide snapshots, they lack both theoretical and conflict study perspective. The primary aim of this dissertation is to explore the expression and the causes of conflict between the Balinese and migrants and to advance the potential of traditional village governance as a means of conflict resolution with particular reference to the municipality of Denpasar. One conclusion of the study is that the conflict between the Balinese and migrants has been expressed on the level of situation/contradiction, attitudes, and behavior. Yet the driving forces behind the conflict itself consist of the following factors: absence of cooperation; incompatible position and perception; inability to communicate effectively; and problem of inequality and injustice, which comes to the surface as a social, cultural, and economic problem. This complex of factors fuels collective fear for the future of both groups. The study concludes that traditional village governance mechanisms as a means of conflict resolution have not yet been able to provide an enduring resolution for the conflict. Analysis shows that the practice of traditional village governance is unable to provide satisfactory mechanisms for the conflict as prescribed by conflict resolution theory. Traditional village governance, which is derived from the exclusive Hindu-Balinese culture, is accepted as more legitimate among the Balinese than the official governance policies. However, it is not generally accepted by most of the Muslim migrants. In addition, traditional village governance lacks access to economic instruments, which weakens its capacity to tackle the economic roots of the conflict. Thus the traditional mechanisms of migrant ordinance , as practiced by the traditional village governance have not yet been successful in penetrating all aspects of the conflict. Finally, one of the main challenges for traditional village governance s legal development is the creation of a regional legal system capable of accommodating rapid changes in line with the national and international legal practices. The framing of the new laws should be responsive to the aspirations of a changing society. It should not only protect the various Balinese communities interests, but also that of other ethnic groups, especially those of the minority. In other words, the main challenge to traditional village governance is its ability to develop flexibility and inclusiveness.

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This paper extends the iterative linear matrix inequality algorithm (ILMI) for systems having non-ideal PI, PD and PID implementations. The new algorithm uses the practical implementation of the feedback blocksto form the equivalent static output feedback plant. The LMI based synthesis techniques are used in the algorithm to design a multi-loop, multi-objective fixed structure control. The benefits of such a control design technique are brought out by applying it to the lateral stabilizing and tracking feedback control problem of a 30cm wingspan micro air vehicle.

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An optimal pitch steering programme of a solid-fuel satellite launch vehicle to maximize either (1) the injection velocity at a given altitude, or (2) the size of circular orbit, for a given payload is presented. The two-dimensional model includes the rotation of atmosphere with the Earth, the vehicle's lift and drag, variation of thrust with time and altitude, inverse-square gravitational field, and the specified initial vertical take-off. The inequality constraints on the aerodynamic load, control force, and turning rates are also imposed. Using the properties of the central force motion the terminal constraint conditions at coast apogee are transferred to the penultimate stage burnout. Such a transformation converts a time-free problem into a time-fixed one, reduces the number of terminal constraints, improves accuracy, besides demanding less computer memory and time. The adjoint equations are developed in a compact matrix form. The problem is solved on an IBM 360/44 computer using a steepest ascent algorithm. An illustrative analysis of a typical launch vehicle establishes the speed of convergence, and accuracy and applicability of the algorithm.

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Life expectancy at birth is one of the main indicators of health inequality. Current health and social status indicators for Australian Indigenous people demonstrate major discrepancies in comparison to other Australians. For example, in Australia in 2005–2007 the Indigenous life expectancy gap at birth was 11.5 years for males and 9.7 years for females (Australian Bureau of Statistics, 2009). This gap has remained relatively constant over the last few decades (ABS, 2008). While the main causes of death for Indigenous Australians are similar to those of non-Indigenous Australians, the percentages attributed to the different disease categories are significantly different. For example, death from external causes is 16.2% for the Indigenous population compared to 6.3% for non-Indigenous, and diabetes is 8% for Indigenous Australians compared to 2.4% for non-Indigenous (ABS, 2008; AIHW, 2008). The Australian Government’s response to this troubling issue, urged on by unprecedented support from the public, was the Close the Gap initiative which aims to reduce the gap in life expectancy within a generation (Shadow Report, 2010). Since the introduction of the Close the Gap strategy there have been some claims of success. For example, the Honourable Warren Snowden (Snowden, 2010), Minister for Indigenous Health, outlines some of the changes that have occurred as a result of the implementation of the Indigenous Chronic Disease Package, funded at $805.5 million over four years, as: 294 new positions...

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When Vietnam joined the World Trade Organization (WTO) in 2007 it was granted an accession period up to 2014. During this period tariffs would have to fall according to the accession agreement. This paper evaluates this 2007–2014 trade liberalization by building an applied general equilibrium model and calibrating it to the Vietnamese data. The model pays careful attention to the fact that Vietnam has many state-owned enterprises. The model simulations show that the WTO tariff reductions will reduce overall welfare. Moreover, the biggest loss will take place among the poor rural households in Vietnam. This paper proposes other tariff reforms that will both raise overall welfare and reduce income inequality.

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Kafka On The Shore consists of three simple concrete letterforms floating on a gallery wall. Reminiscent of minimalist sculpture, the mathematical expression of the letterforms states that ‘r’ is greater than ‘g’. Despite this material simplicity, the solemn presentation of the formula suggests a sense of foreboding, a quiet menace. The work was created as a response to the economic theories of Thomas Piketty presented in his book Capital in the Twenty-First Century. The primary finding of Piketty’s data-driven research is the formula presented by the work; that historically, wealth and inequity both flourish when the rate of return on capital (r) is greater than the rate of economic growth (g). With this simple mathematical summary the book acts as a sobering indictment on the present state of economic inequality.

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Background Diabetic foot ulcers (DFU) are a leading cause of diabetes-related hospitalisation and can be costly to manage without access to appropriate expert care. Within Queensland and indeed across many parts of Australia, there is an inequality in accessing specialist services for individuals with DFU. Recent National Health and Medical Research Council (NHMRC) diabetic foot guidelines recommend remote expert consultation with digital imaging should be made available to people with DFU to improve their clinical outcomes. Telemedicine appears to show promise in improving access to diabetic foot specialist services; however diabetic foot telemedicine models to date have relied upon videoconferencing, store and forward technology and/or customised appliances to obtain digital imagery which all require either expensive infrastructure or a timed reply to the request for advice. Whilst mobile phone advice services have been used with success in general diabetes management and telehealth services have improved diabetic foot outcomes, the rapid emergence in the use of mobile phones has established a need to review the role that various forms of telemedicine play in the management of DFU. The aim of this paper is to review traditional telemedicine modalities that have been used in the management of DFU and to compare that to new and innovative technology that are emerging. Process Studies investigating the management of DFU using various forms of telemedicine interventions will be included in this review. They include the use of videoconferencing technology, hand held digital still photography purpose built imaging devices and mobile phone imagery. Electronic databases (Pubmed, Medline and CINAHL) will be searched using broad MeSH terms and keywords that cover the intended area of interest. Findings It is anticipated that the results of this narrative review will provide delegates of the 2015 Australasian Podiatry Conference an insight into the types of emerging innovative diagnostic telemedicine technologies in the management of DFU against the backdrop of traditional and evidence based modalities. It is anticipated that the findings will drive further research in the area of mobile phone imagery and innovation in the management of DFU.

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We derive a very general expression of the survival probability and the first passage time distribution for a particle executing Brownian motion in full phase space with an absorbing boundary condition at a point in the position space, which is valid irrespective of the statistical nature of the dynamics. The expression, together with the Jensen's inequality, naturally leads to a lower bound to the actual survival probability and an approximate first passage time distribution. These are expressed in terms of the position-position, velocity-velocity, and position-velocity variances. Knowledge of these variances enables one to compute a lower bound to the survival probability and consequently the first passage distribution function. As examples, we compute these for a Gaussian Markovian process and, in the case of non-Markovian process, with an exponentially decaying friction kernel and also with a power law friction kernel. Our analysis shows that the survival probability decays exponentially at the long time irrespective of the nature of the dynamics with an exponent equal to the transition state rate constant.

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What is the future for public health in the twenty-first century? Can we glean an idea about the future of public health from its past? As Winston Churchill once said: ‘[T]he further backward you look, the further forward you can see.’ What can we see in the history of public health that gives us an idea of where public health might be headed in the future? (Gruszin et al. 2012). In the twentieth century there was substantial progress in public health in Australia. These improvements were brought about through a number of factors. In part, improvements were due to increasing knowledge about the natural history of disease and its treatment. Added to this knowledge was a shifting focus from legislative measures to protect health, to the emergence of improved promotion and prevention strategies, and a general improvement in social and economic conditions for people living in countries such as Australia. Gruszin et al. (2012) consider the range of social and economic reforms of the twentieth century as the most important determinants of the public’s health at the start of the twenty-first century (Gruszin et al. 2012 p 201). The same could not, however, be said for second or third world countries, many of whom have the most fundamental of sanitary and health protection issues still to deal with. For example, in sub-Saharan Africa and in Russia the decline in life expectancy can be said to be related to a range of interconnected factors. In Russia, issues such as alcoholism, violence, suicide, accidents and cardiovascular disease could be contributing to the falling life expectancy (McMichael & Butler 2007). In sub-Saharan Africa, a range of factors, such as HIV/AIDS, poverty, malaria, tuberculosis, undernutrition, totally inadequate infrastructure, gender inequality, conflict and violence, political taboos and a complete lack of political will, have all contributed to a dramatic drop in life expectancy (McMichael & Butler 2007).

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The paper presents a novel slicing based method for computation of volume fractions in multi-material solids given as a B-rep whose faces are triangulated and shared by either one or two materials. Such objects occur naturally in geoscience applications and the said computation is necessary for property estimation problems and iterative forward modeling. Each facet in the model is cut by the planes delineating the given grid structure or grid cells. The method, instead of classifying the points or cells with respect to the solid, exploits the convexity of triangles and the simple axis-oriented disposition of the cutting surfaces to construct a novel intermediate space enumeration representation called slice-representation, from which both the cell containment test and the volume-fraction computation are done easily. Cartesian and cylindrical grids with uniform and non-uniform spacings have been dealt with in this paper. After slicing, each triangle contributes polygonal facets, with potential elliptical edges, to the grid cells through which it passes. The volume fractions of different materials in a grid cell that is in interaction with the material interfaces are obtained by accumulating the volume contributions computed from each facet in the grid cell. The method is fast, accurate, robust and memory efficient. Examples illustrating the method and performance are included in the paper.