Academic literature on the topic 'PhD thesis ; Proof planning'

AbstractThe theorem referred to in the title is a technical result that is needed for the classification of elliptic and K3 fibrations birational to Fano 3-fold hypersurfaces in weighted projective space. We present a complete proof of the curve exclusion theorem, which first appeared in the author's PhD thesis and has since been relied upon in solutions to many cases of the fibration classification problem. We give examples of these solutions and discuss them briefly.

The goal of the paper is to present some results concerning the approximation of convex functions by linear positive operators. First, one recalls some results concerning the univariate real valued convex functions. Next, one presents the notion of higher order convexity introduced by Popoviciu [Popoviciu, T., Sur quelques propri´et´ees des fonctions d’une ou deux variable r´eelles, PhD Thesis, La Faculte des Sciences de Paris, 1933 (June)]. The Popoviciu’s famous theorem for the representation of linear functionals associated to convex functions of m−th order (with the proof of author) is also presented. Finally, applications of the convexity to study the monotonicity of sequences of some linear positive operators and also mean value theorems for the remainder term of some approximation formulas based on linear positive operators are presented.

Historic structures generally and historic timber (roof) structures especially are not included into structural engineering curricula, in Romania. Roof structures and timber structures in general were also for a long time totally absent from all from construction and architecture university and craftsmen tuition curricula. The information gathered by dedicated professionals should be offered to young professionals, or those seeking specialisation in built heritage conservation, in a structured way: guidelines / handbooks, to prevent non-professional approaches. The Guide is to be finished in 2010 as integrated part of the PhD thesis of structural engineer D. Makay, supervised by Professor B. Szabó: Transylvanian Baroque Roof Structures.

When I was preparing my PhD in 1993, the subject “Eastern Christians” or “Christians in the Islamic World” was almost nonexistent in the mass media or in scholarly works. In fact, I prepared my thesis not under the supervision of a specialist in the Middle East but rather under that of a specialist in European Catholicism during the early modern era.

This article looks at two previous study reports on postgraduate supervision, views, and experiential as well as academic advice from other scholars. It presents the various perspectives on the central phenomenon relationship between the supervisor and the doctoral student at the initial stages of the PhD programme, arguments, suggestions and insights into the nature and substance of PhD supervision, early articulation of expectations and clarifying them; commitment to establishment of clear goals; and developing a study plan and time-table that are consistent with work. It also explores knowledge and a warm, supportive relationship; planning from the beginning, including research mapping and concept charting; proper time-management; and internalising the criteria for examination of a PhD thesis, capacity to relate the research topic to the discipline; encouraging the use of writing as a voyage of discovery. It argues that all these are vital to sustaining the momentum and completion of a PhD by research. It concludes that postgraduate supervision requires that supervisors and doctoral students by research clarify and discuss their expectations at the beginning and on a continuous and regular basis; that differences in perception or procedure can present the supervisor and the student with debilitating challenges that can impede progress and eventually fail to get the coveted PhD.

AbstractCorrect handling of names and binders is an important issue in meta-programming. This paper presents an embedding of constraint logic programming into the αML functional programming language, which provides a provably correct means of implementing proof search computations over inductive definitions involving names and binders modulo α-equivalence. We show that the execution of proof search in the αML operational semantics is sound and complete with regard to the model-theoretic semantics of formulae, and develop a theory of contextual equivalence for the subclass of αML expressions which correspond to inductive definitions and formulae. In particular, we prove that αML expressions, which denote inductive definitions, are contextually equivalent precisely when those inductive definitions have the same model-theoretic semantics. This paper is a revised and extended version of the conference paper (Lakin, M. R. & Pitts, A. M. (2009) Resolving inductive definitions with binders in higher-order typed functional programming. InProceedings of the 18th European Symposium on Programming (ESOP 2009), Castagna, G. (ed), Lecture Notes in Computer Science, vol. 5502. Berlin, Germany: Springer-Verlag, pp. 47–61) and draws on material from the first author's PhD thesis (Lakin, M. R. (2010)An Executable Meta-Language for Inductive Definitions with Binders. University of Cambridge, UK).

Kitaev's quantum double models in 2D provide some of the most commonly studied examples of topological quantum order. In particular, the ground space is thought to yield a quantum error-correcting code. We offer an explicit proof that this is the case for arbitrary finite groups. Actually a stronger claim is shown: any two states with zero energy density in some contractible region must have the same reduced state in that region. Alternatively, the local properties of a gauge-invariant state are fully determined by specifying that its holonomies in the region are trivial. We contrast this result with the fact that local properties of gauge-invariant states are not generally determined by specifying all of their non-Abelian fluxes --- that is, the Wilson loops of lattice gauge theory do not form a complete commuting set of observables. We also note that the methods developed by P. Naaijkens (PhD thesis, 2012) under a different context can be adapted to provide another proof of the error correcting property of Kitaev's model. Finally, we compute the topological entanglement entropy in Kitaev's model, and show, contrary to previous claims in the literature, that it does not depend on whether the ``log dim R'' term is included in the definition of entanglement entropy.

AbstractIn 1940, a PhD was published in Germany about the claiming behaviour of several countries and the whaling industry in Antarctica. It shows already at this time that a need for regulation on that issue was required. The intertwined relationships between the claiming nations demanded an overarching framework where these complex issues could be managed. This paper elaborates on the state of the claiming parties before the 1940s and will demonstrate that the development for a comprehensive regulation was the only way to avoid a global conflict. The doctoral thesis from 1940 will be the focal point of the discussion.

Fareeha Zafar’s book Canals, Colonies and Class: British Policy in the Punjab 1880-1940 is essentially an edited reproduction of her PhD thesis, The Impact of Canal Construction on the Rural Structures of the Punjab: The Canal Colony Districts, 1880 To 1940. The thesis was completed about 35 years ago at the School of Oriental and African Studies, the University of London (now SOAS, the University of London). She studies the British colonisation process in the Punjab and its effect on the local environment, the production patterns, and social relations, understanding that despite several similar studies on the region, no serious effort had been made to synthesise these issues the way she does in this book. However, in the form of a new book, the synthesis does not add much value as it reiterates the British colonisers’ well-known strategies, namely irrigation development as a tool to settle disarmed forces and nomads and, thereby, strengthening a class of local landed elite to maintain their power in the colonies, their revenue-seeking policies, indebtedness of the landed class and alike. Nevertheless, considering the timing of the original contribution, the book, if read together with the contributions such as Khuhro (1978/1999) and Cheesman (1997), provides a relatively rich description of geographers’ analyses of the British policies, their intentions, and their effects.

Proof planning is a paradigm for the automation of proof that focuses on encoding intelligence to guide the proof process. The idea is to capture common patterns of reasoning which can be used to derive abstract descriptions of proofs known as proof plans. These can then be executed to provide fully formal proofs. This thesis concerns the development and analysis of a novel approach to proof planning that focuses on an explicit representation of choices during search. We embody our approach as a proof planner for the generic proof assistant Isabelle and use the Isar language, which is human-readable and machine-checkable, to represent proof plans. Within this framework we develop an inductive theorem prover as a case study of our approach to proof planning. Our prover uses the difference reduction heuristic known as rippling to automate the step cases of the inductive proofs. The development of a flexible approach to rippling that supports its various modifications and extensions is the second major focus of this thesis. Here, our inductive theorem prover provides a context in which to evaluate rippling experimentally. This work results in an efficient and powerful inductive theorem prover for Isabelle as well as proposals for further improving the efficiency of rippling. We also draw observations in order to direct further work on proof planning. Overall, we aim to make it easier for mathematical techniques, and those specific to mechanical theorem proving, to be encoded and applied to problems.

An intelligent agent must be capable of using its past experience to develop an understanding of how its actions affect the world in which it is situated. Given some objective, the agent must be able to effectively use its understanding of the world to produce a plan that is robust to the uncertainty present in the world. This thesis presents a novel computational framework called the Adaptive Modelling and Planning System (AMPS) that aims to meet these requirements for intelligence. The challenge of the agent is to use its experience in the world to generate a model. In problems with large state and action spaces, the agent can generalise from limited experience by grouping together similar states and actions, effectively partitioning the state and action spaces into finite sets of regions. This process is called abstraction. Several different abstraction approaches have been proposed in the literature, but the existing algorithms have many limitations. They generally only increase resolution, require a large amount of data before changing the abstraction, do not generalise over actions, and are computationally expensive. AMPS aims to solve these problems using a new kind of approach. AMPS splits and merges existing regions in its abstraction according to a set of heuristics. The system introduces splits using a mechanism related to supervised learning and is defined in a general way, allowing AMPS to leverage a wide variety of representations. The system merges existing regions when an analysis of the current plan indicates that doing so could be useful. Because several different regions may require revision at any given time, AMPS prioritises revision to best utilise whatever computational resources are available. Changes in the abstraction lead to changes in the model, requiring changes to the plan. AMPS prioritises the planning process, and when the agent has time, it replans in high-priority regions. This thesis demonstrates the flexibility and strength of this approach in learning intelligent behaviour from limited experience.

The concept of strategic entrepreneurship has received increased attention over the past ten years. Viewed as the intersection of entrepreneurship and strategy, this field of research is populated by conceptual studies which focus mainly on the nature and perceived benefits of strategic entrepreneurship. Similarly, the study of entrepreneurship in a public sector context has gained increasing support in recent years, but also remains underexplored. To address these gaps, this thesis considers: What are the underlying elements and financial implications of strategic entrepreneurship in New Zealand’s state-owned enterprises [SOEs]? New Zealand’s SOE sector, comprising 17 government-owned, commercially focused organisations, is considered to be a prime subject for this research. Well known for their implementation of new public management [NPM], many New Zealand SOEs have also been publicly recognised as both innovative and entrepreneurial. The research question is addressed by first developing a preliminary framework of strategic entrepreneurship from literature on entrepreneurship and strategy. This framework is then examined in the context of case studies on activity which is entrepreneurial and/or strategic within 12 of the 17 SOEs operating in New Zealand as at 2006. Transcripts from a series of interviews, and publicly available documents are analysed thematically. SOEs’ financial statements over a five year period are also analysed. The thesis contributes in two broad areas. First, much-needed empirical support is lent to the concept of strategic entrepreneurship. Key elements of strategic entrepreneurship identified include opportunity identification, innovation, acceptance of risk, flexibility, vision, growth, and leveraging from core skills and resources such that existing knowledge and skills are transferred and applied to create new products, services, and markets. Important supporting elements identified include an open, flexible, and progressive culture, operational excellence, and cost minimisation. The nature of each of these elements is also investigated. A detailed understanding of the relationship between strategic entrepreneurship and wealth creation reveals various internal and external factors which may influence the nature and strength of the relationship. These factors include changes within the organisation, as well as changes in the economic and political environment, and are important influences on the resulting returns realised. Second, this thesis offers valuable evidence in support of emerging change in the public sector towards the adoption of strategic entrepreneurship. Support for the value of NPM is provided, with clear evidence of financial returns from New Zealand’s SOE sector. Further, a key finding is the structured and systematic approach to entrepreneurial activity within the context of NPM in several New Zealand SOEs. Such behaviour is referred to in this thesis as new public entrepreneurship. This form of activity offers the potential for competitive advantage and financial gain traditionally associated with entrepreneurial activity, but also limits the respective risks through its structured, systematic approach.

Writing up your research is as important as undertaking the research itself. It serves as the record of the (hopefully) exhaustive work you have carried out and provides the evidence for your conclusions and interpretations. It is best to anticipate that your paper or thesis should be easy to read by an independent individual who may not have your expertise in the field you are writing about. It should flow, make sense, have structure, and demonstrate originality. Planning your write-up should be considered at the time of planning the project methodology itself, and the process of writing up is best carried out in parallel with the study as it evolves. This chapter will discuss some tips to editing the structure as you go. In general, there is an underlying structure to any write-up, be it a paper in a peer reviewed journal or a thesis. The generally accepted structure is as follows: • Abstract: • Introduction • Methods (or ‘methodology’ or ‘patients and methods’) • Results • Conclusion(s) • Introduction • Methods (or ‘methodology’ or ‘patients and methods’) • Results • Discussion • Conclusion(s) • References or bibliography. These titles are applicable to publications in peer-reviewed journals. Although the structure is universal, the style of write-up is different between writing a paper for a peer-reviewed journal, which requires a clear and concise approach, and a thesis, which needs greater detail. Universities usually have relaxed guidelines regarding the structure of chapters in writing up your thesis (e.g. PhD). However, it is generally advised that however you record your research, the above structure is incorporated into your write-up. For your thesis, there are additional ‘chapter titles’ in the write-up structure you may consider. Below is a comprehensive structured list which, in addition to the core titles (in bold), provides options you may consider to add to your thesis; • Title page • Acknowledgements • Abstract: • Introduction • Methods (or ‘methodology’ or ‘patients and methods’) • Results • Conclusion(s) • Declaration of originality • Table of contents • List of abbreviations • List of tables • List of figures • Introduction • Methods (or ‘methodology’ or ‘patients and methods’) • Results • Discussion • Conclusion(s) • Achievements • Appendices • References/bibliography .

Rethinking Urban Design Problems through Morphological Regions Ezgi Küçük¹, Ayşe Sema Kubat² ¹Urban Planning Coordinator, Marmara Municipalities Union ²Prof., Dr., Istanbul Technical Univercity, Faculty of Architecture, Department of City and Regional Planning E-mail: ezgikucuk89@gmail.com, kubat@itu.edu.tr Keywords: the Historical Peninsula, morphological regions, urban blocks, urban design, Beyazıt Square Conference topics and scale: Urban form and social use of space The concept of urban square is a debated issue in the context of urban design practices in Islamic cities. Recognizing the relation between urban morphology and urban design studies in city planning and urban design practices is highly vital. Beyazıt Square, which is the center of the city of Istanbul, could not be integrated to the other parts of the city either configurationally or socially although many design projects have been previously planned and discussed. In this study, the Historical Peninsula of Istanbul is observed as an essential unit of the traditional path reflecting each civilization, namely Roman, Byzantium, Ottoman and Republic of Turkey that have been settled in the region. Transformations in urban blocks in Beyazıt region are elaborated through a series of morphological analyses based on the Conzenian approach of urban morphology. Morphological regions of the Historical Peninsula are identified and Beyazıt region is addressed in detail in terms of the transformations in urban block components, that are; street, plot and buildings. The effects of surrounding units which are the mosque, university buildings, booksellers and Grandbazaar on Beyazıt Square are discussed according to the morphological analyses that are applied to the region. Previous design practices and the existing plan of the area are observed through the analyses including town plan, building block, and land use and ownership patterns. It is revealed that existing design problems in Beyazıt Square come from the absence of urban morphological analyses in all planning and design practices. Through morphological regions as well as the conservation plans, urban design projects can be reconsidered. References Baş, Y. (2010) ‘Production of Urbanism as the Reproduction of Property Relations: Morphologenesis of Yenişehir-Ankara’, PhD thesis, Middle East Technical University. Barret, H.J. (1996) ‘Townscape changes and local planning management in city conservation areas: the example of Birmingham and Bristol’, PhD thesis, University of Birmingham. Bienstman, H. (2007) ‘Morphological Concepts and Landscape Management: The Cases of Alkmaar and Bromsgrove’, PhD thesis, University of Birmingham. Conzen, M.R.G. (1960) Alnwick Northumberland: a study in town-plan analysis, Institute of British Geographers, London. Conzen, M.R.G. (2004) Thinking About Urban Form: papers on urban morphology 1932-1998, Peter Lang, Bern. Çelik, Z. (1993) The Remaking of Istanbul: Portrait of an Ottoman City in the Nineteenth Century, University of California Press, Berkeley. Günay, B. (1999) Property Relations and Urban Space, METU Faculty of Architecture Press, Ankara. Kubat, A.S. (1999) ‘The morphological history of Istanbul’, Urban Morphology 3.1, 28-41. Noziet, H. (2008) ‘Fabrique urbaine: a new concept in urban history and morphology’, Urban Morphology, 13.1, 55-56. Panerai, P., Castex, J., Depaule, J. C. and Samuels, I. (2004) Urban Forms: The Death and Life of the Urban Block, Architectural Press, Oxford. Tekeli, İ. (2010) Türkiye’nin Kent Planlama ve Kent Araştırmaları Tarihi Yazıları, (Articles of Turkey’s History of Urban Planning and Urban Studies), Tarih Vakfı Yurt Yayınları, Istanbul. Whitehand, J.W.R. (2001) ‘British urban morphology: the Conzenian tradition’, Urban Morphology 5.2, 3-10. Whitehand, J.W.R. (2009) ‘The structure of urban landscapes: strengthening research and practice’, Urban Morphology 13.1, 5-22.