Powers and Logarithms

There are applied power mappings in algebras with logarithms induced by a given linear operator D in order to study particular properties of powers of logarithms. Main results of this paper will be concerned with the case when an algebra under consideration is commutative and has a unit and the operator D satisfies the Leibniz condition, i.e. D(xy) = xDy + yDx for x, y ∈ dom D. Note that in the Number Theory there are well-known several formulae expressed by means of some combinations of powers of logarithmic and antilogarithmic mappings or powers of logarithms and antilogarithms (cf. for instance, the survey of Schinzel S[1].

Investigating the role of capacitive coupling between the operating table and the return electrode of an electrosurgery unit in the modification of the current density distribution within the patients’ body

Background: Electrosurgery units are widely employed in modern surgery. Advances in technology have enhanced the safety of these devices, nevertheless, accidental burns are still regularly reported. This study focuses on possible causes of sacral burns as complication of the use of electrosurgery. Burns are caused by local densifications of the current, but the actual pathway of current within patient's body is unknown. Numerical electromagnetic analysis can help in understanding the issue. Methods: To this aim, an accurate heterogeneous model of human body (including seventy-seven different tissues), electrosurgery electrodes, operating table and mattress was build to resemble a typical surgery condition. The patient lays supine on the mattress with the active electrode placed onto the thorax and the return electrode on his back. Common operating frequencies of electrosurgery units were considered. Finite Difference Time Domain electromagnetic analysis was carried out to compute the spatial distribution of current density within the patient's body. A differential analysis by changing the electrical properties of the operating table from a conductor to an insulator was also performed. Results: Results revealed that distributed capacitive coupling between patient body and the conductive operating table offers an alternative path to the electrosurgery current. The patient's anatomy, the positioning and the different electromagnetic properties of tissues promote a densification of the current at the head and sacral region. In particular, high values of current density were located behind the sacral bone and beneath the skin. This did not occur in the case of non-conductive operating table. Conclusion: Results of the simulation highlight the role played from capacitive couplings between the return electrode and the conductive operating table. The concentration of current density may result in an undesired rise in temperature, originating burns in body region far from the electrodes. This outcome is concordant with the type of surgery-related sacral burns reported in literature. Such burns cannot be immediately detected after surgery, but appear later and can be confused with bedsores. In addition, the dosimetric analysis suggests that reducing the capacity coupling between the return electrode and the operating table can decrease or avoid this problem. © 2013 Bifulco et al.; licensee BioMed Central Ltd.

Hough Transform Approach to Identification of Flare Stars in Multi-exposure Plate Images

ACM Computing Classification System (1998): I.2.8 , I.2.10, I.5.1, J.2.

A sphere of resonance for networked learning in the ‘non-places’ of our universities

The logic of ‘time’ in modern capitalist society appears to be a fixed concept. Time dictates human activity with a regularity, which as long ago as 1944, George Woodcock referred to as The Tyranny of the Clock. Seventy years on, Hartmut Rosa suggests humans no longer maintain speed to achieve something new, but simply to preserve the status quo, in a ‘social acceleration’ that is lethal to democracy. Political engagement takes time we no longer have, as we rush between our virtual spaces and ‘non-places’ of higher education. I suggest it’s time to confront the conspirators that, in partnership with the clock, accelerate our social engagements with technology in the context of learning. Through Critical Discourse Analysis (CDA) I reveal an alarming situation if we don’t. With reference to Bauman’s Liquid Modernity, I observe a ‘lightness’ in policy texts where humans have been ‘liquified’ Separating people from their own labour with technology in policy maintains the flow of speed a neoliberal economy demands. I suggest a new ‘solidity’ of human presence is required as we write about networked learning. ‘Writing ourselves back in’ requires a commitment to ‘be there’ in policy and provide arguments that decelerate the tyranny of time. I am though ever-mindful that social acceleration is also of our own making, and there is every possibility that we actually enjoy it.

Mapping and Merging of Anatomical Ontologies

This article presents the principal results of the Ph.D. thesis Intelligent systems in bioinformatics: mapping and merging anatomical ontologies by Peter Petrov, successfully defended at the St. Kliment Ohridski University of Sofia, Faculty of Mathematics and Informatics, Department of Information Technologies, on 26 April 2013.

Exploring mapping-based visualisations of large remote image databases

Image database visualisations, in particular mapping-based visualisations, provide an interesting approach to accessing image repositories as they are able to overcome some of the drawbacks associated with retrieval based approaches. However, making a mapping-based approach work efficiently on large remote image databases, has yet to be explored. In this paper, we present Web-Based Images Browser (WBIB), a novel system that efficiently employs image pyramids to reduce bandwidth requirements so that users can interactively explore large remote image databases. © 2013 Authors.

Supersymmetry and Ghosts in Quantum Mechanics

2000 Mathematics Subject Classification: 81Q60, 35Q40.

Enhanced connectivity and QoE through LTE-WiFi interworking in Smart Cities

Mobile communication and networking infrastructures play an important role in the development of smart cities, to support real-time information exchange and management required in modern urbanization. Mobile WiFi devices that help offloading data traffic from the macro-cell base station and serve the end users within a closer range can significantly improve the connectivity of wireless communications between essential components including infrastructural and human devices in a city. However, this offloading function through interworking between LTE and WiFi systems will change the pattern of resource distributions operated by the base station. In this paper, a resource allocation scheme is proposed to ensure stable service coverage and end-user quality of experience (QoE) when offloading takes place in a macro-cell environment. In this scheme, a rate redistribution algorithm is derived to form a parametric scheduler to meet the required levels of efficiency and fairness, guided by a no-reference quality assessment metric. We show that the performance of resource allocation can be regulated by this scheduler without affecting the service coverage offered by the WLAN access point. The performances of different interworking scenarios and macro-cell scheduling policies are also compared.

The existence of an inverse limit of inverse system of measure spaces - a purely measurable case

The existence of an inverse limit of an inverse system of (probability) measure spaces has been investigated since the very beginning of the birth of the modern probability theory. Results from Kolmogorov [10], Bochner [2], Choksi [5], Metivier [14], Bourbaki [3] among others have paved the way of the deep understanding of the problem under consideration. All the above results, however, call for some topological concepts, or at least ones which are closely related topological ones. In this paper we investigate purely measurable inverse systems of (probability) measure spaces, and give a sucient condition for the existence of a unique inverse limit. An example for the considered purely measurable inverse systems of (probability) measure spaces is also given.

Anatomy and lessons of the global financial crisis. Is US consumption financed by Chinese savings?

Savings and investments in the American money market by emerging countries, primarily China, financed the excessive consumption of the United States in the early 2000s, which indirectly led to a global financial crisis. The crisis started from the real estate mortgage market. Such balance disrupting processes began on the American financial market which contradicted all previously known equilibrium theories of every school of economics. Economics has yet to come up with models or empirical theories for this new disequilibrium. This is why the outbreak of the crisis could not be prevented or at least predicted. The question is, to what extent can existing market theories, calculation methods and the latest financial products be held responsible for the new situation. This paper studies the influence of the efficient market and modern portfolio theory, as well as Li’s copula function on the American investment market. Naturally, the issues of moral risks and greed, credit ratings and shareholder control, limited liability and market regulations are aspects, which cannot be ignored. In summary, the author outlines the potential alternative measures that could be applied to prevent a new crisis, defines the new directions of economic research and draws the conclusion for the Hungarian economic policy.

Hybrid multi-objective optimization and hybridized self-organizing response surface method

Numerical optimization is a technique where a computer is used to explore design parameter combinations to find extremes in performance factors. In multi-objective optimization several performance factors can be optimized simultaneously. The solution to multi-objective optimization problems is not a single design, but a family of optimized designs referred to as the Pareto frontier. The Pareto frontier is a trade-off curve in the objective function space composed of solutions where performance in one objective function is traded for performance in others. A Multi-Objective Hybridized Optimizer (MOHO) was created for the purpose of solving multi-objective optimization problems by utilizing a set of constituent optimization algorithms. MOHO tracks the progress of the Pareto frontier approximation development and automatically switches amongst those constituent evolutionary optimization algorithms to speed the formation of an accurate Pareto frontier approximation. Aerodynamic shape optimization is one of the oldest applications of numerical optimization. MOHO was used to perform shape optimization on a 0.5-inch ballistic penetrator traveling at Mach number 2.5. Two objectives were simultaneously optimized: minimize aerodynamic drag and maximize penetrator volume. This problem was solved twice. The first time the problem was solved by using Modified Newton Impact Theory (MNIT) to determine the pressure drag on the penetrator. In the second solution, a Parabolized Navier-Stokes (PNS) solver that includes viscosity was used to evaluate the drag on the penetrator. The studies show the difference in the optimized penetrator shapes when viscosity is absent and present in the optimization. In modern optimization problems, objective function evaluations may require many hours on a computer cluster to perform these types of analysis. One solution is to create a response surface that models the behavior of the objective function. Once enough data about the behavior of the objective function has been collected, a response surface can be used to represent the actual objective function in the optimization process. The Hybrid Self-Organizing Response Surface Method (HYBSORSM) algorithm was developed and used to make response surfaces of objective functions. HYBSORSM was evaluated using a suite of 295 non-linear functions. These functions involve from 2 to 100 variables demonstrating robustness and accuracy of HYBSORSM.

The role of spirituality in transformative learning

The purpose of this phenomenological study was to explore the role of spirituality in Mezirow's (1978, 1990, 1991, 1997, 1998, 2000, 2003) 10-phase process of transformative learning. This study used Mezirow's transformative learning theory as its theoretical framework. Semi-structured interviews were conducted, transcribed, and analyzed for 12 doctoral students and candidates who had a transformative learning experience and who identified themselves as being spiritual. Interview data were analyzed using inductive, deductive, and comparative analyses. Four themes emerged from the inductive analysis of the data: (a) the nature of spirituality, (b) the variety of emotions, (c) the influences of spirituality, and (d) the nature of personal changes. The theory's 10 phases were used as a guide in deductively analyzing data concerning the participants' experiences. The deductive analysis revealed that spirituality played a role in at least 7 of the 10 phases of transformative learning for each participant. Overall, from the participants' perspectives, the role of spirituality was that of a guide in influencing their cognition and behavior, and that of a supporter in influencing their emotions. The comparative analysis revealed that at least three of the four themes from the inductive analysis were reflected in each of the 10 phases of transformative learning used in the deductive analysis. Based on the findings from this study, the researcher proposed a modification of Mezirow's phases of transformative learning. An additional phase was identified: framing and naming the transformed perspective, and two phases were renamed. The findings from this study imply that given the importance of the role participants attributed to spirituality in their transformative learning in influencing their cognition, behavior, and emotions, the role of spirituality should be considered for inclusion in transformative learning theory. Recommendations for further research on the validation and replicability of the proposed modification to transformative learning theory are given.

Trade, justice, and the politics of difference: Small developing states in the World Trade Organization

The purpose of this research project was to investigate two distinct types of research questions – one theoretical, the other empirical: (1) What would justice mean in the context of the international trade regime? (2.Using the small developing states of the Commonwealth Caribbean as a case study, what do Commonwealth Caribbean trade negotiators mean when they appeal to justice? Regarding the first question, Iris Young's framework which focuses on the achievement of social justice in a domestic context by acknowledging social differences such as those based on race and gender, was adopted and its relevance argued in the international context of interstate trade negotiation so as to validate the notion of (size, location, and governance capacity) difference in this latter context. The point of departure is that while states are typically treated as equals in international law – as are individuals in liberal political theory – there are significant differences between states which warrant different treatment in the international arena. The study found that this re-formulation of justice which takes account of such differences between states, allows for more adequate policy responses than those offered by the presumption of equal treatment. Regarding the second question, this theoretical perspective was used to analyze the understandings of justice from which Commonwealth Caribbean trade negotiators proceed. Interpretive and ethnographic methods, including participant observation, interviews, field notes, and textual analysis, were employed to analyze their understandings of justice. The study found that these negotiators perceive such justice as being justice to difference because of the distinct characteristics of small developing states which combine to constrain their participation in the international trading system; based on this perception, they seek rules and outcomes in the multilateral trade regime which are sensitive to such different characteristics; and while these issues were examined in a specific region, its findings are relevant for other regions consisting of small developing states, such as those in the ACP group.

A quantitative approach to the organizational design problem

The span of control is the most discussed single concept in classical and modern management theory. In specifying conditions for organizational effectiveness, the span of control has generally been regarded as a critical factor. Existing research work has focused mainly on qualitative methods to analyze this concept, for example heuristic rules based on experiences and/or intuition. This research takes a quantitative approach to this problem and formulates it as a binary integer model, which is used as a tool to study the organizational design issue. This model considers a range of requirements affecting management and supervision of a given set of jobs in a company. These decision variables include allocation of jobs to workers, considering complexity and compatibility of each job with respect to workers, and the requirement of management for planning, execution, training, and control activities in a hierarchical organization. The objective of the model is minimal operations cost, which is the sum of supervision costs at each level of the hierarchy, and the costs of workers assigned to jobs. The model is intended for application in the make-to-order industries as a design tool. It could also be applied to make-to-stock companies as an evaluation tool, to assess the optimality of their current organizational structure. Extensive experiments were conducted to validate the model, to study its behavior, and to evaluate the impact of changing parameters with practical problems. This research proposes a meta-heuristic approach to solving large-size problems, based on the concept of greedy algorithms and the Meta-RaPS algorithm. The proposed heuristic was evaluated with two measures of performance: solution quality and computational speed. The quality is assessed by comparing the obtained objective function value to the one achieved by the optimal solution. The computational efficiency is assessed by comparing the computer time used by the proposed heuristic to the time taken by a commercial software system. Test results show the proposed heuristic procedure generates good solutions in a time-efficient manner.

History education and the construction of national identity in Iran

This study examined the representation of national and religious dimensions of Iranian history and identity in Iranian middle school history textbooks. Furthermore, through a qualitative case study in a school in the capital city of Tehran, teachers' use of textbooks in classrooms, students' response, their perceptions of the country's past, and their definitions of national identity is studied. The study follows a critical discourse analysis framework by focusing on the subjectivity of the text and examining how specific concepts, in this case collective identities, are constructed through historical narratives and how social actors, in this case students, interact with , and make sense of, the process. My definition of national identity is based on the ethnosymbolism paradigm (Smith, 2003) that accommodates both pre-modern cultural roots of a nation and the development and trajectory of modern political institutions. Two qualitative approaches of discourse analysis and case study were employed. The textbooks selected were those published by the Ministry of Education; universally used in all middle schools across the country in 2009. The case study was conducted in a girls' school in Tehran. The students who participated in the study were ninth grade students who were in their first year of high school and had just finished a complete course of Iranian history in middle school. Observations were done in history classes in all three grades of the middle school. The study findings show that textbooks present a generally negative discourse of Iran's long history as being dominated by foreign invasions and incompetent kings. At the same time, the role of Islam and Muslim clergy gradually elevates in salvaging the country from its despair throughout history, becomes prominent in modern times, and finally culminates in the Islamic Revolution as the ultimate point of victory for the Iranian people. Throughout this representation, Islam becomes increasingly dominant in the textbooks' narrative of Iranian identity and by the time of the Islamic Revolution morphs into its single most prominent element. On the other hand, the students have created their own image of Iran's history and Iranian identity that diverges from that of the textbooks especially in their recollection of modern times. They have internalized the generally negative narrative of textbooks, but have not accepted the positive role of Islam and Muslim clergy. Their notion of Iranian identity is dominated by feelings of defeat and failure, anecdotal elements of pride in the very ancient history, and a sense of passivity and helplessness.