A variety of new mean value theorems are presented along with interesting proofs and generalizations of the standard theorems. Three proofs are given for the ordinary Mean Value Theorem for derivatives, the third of which is interesting in that it is independent of of Rolle's Theorem. The Second Mean Value Theorem for derivatives is generalized, with the use of determinants, to three functions and also generalized in terms of nth order derivatives. Observing that under certain conditions the tangent line to the curve of a differentiable function passes through the initial point, we find a new type of mean value theorem for derivatives. This theorem is extended to two functions and later in the paper an integral analog is given together with integral mean value theorems. Many new mean value theorems are presented in their respective settings including theorems for the total variation of a function, the arc length of the graph of a function, and for vector-valued functions. A mean value theorem in the complex plane is given in which the difference quotient is equal to a linear combination of the values of the derivative. Using a regular derivative, the ordinary Mean Value Theorem for derivatives is extended into Rn, n>1.

Introduction: Previous literature indicates that standard economic analysis is often not well suited for the evaluation of research investments, necessitating the use of other methods. This work uses a mixed methods approach to investigate the economic value relationship between academia and industry, towards a holistic understanding of how research benefits arise and can be measured to provide greater insight into the drivers of the system, its sustainability, and economic competitiveness. Methods: Each of the pillars of the National Innovation System (NIS) model, adapted to assess the economic value relationship between academia and industry, were evaluated. The first research element (government) focused on the macroeconomic and regulatory context by evaluating the federal SBIR/STTR programs through an in-depth case study. The second element focused on the education and training system (academia) by assessing how technology transfer offices at universities measure research value. The final element of the study (industry) focused on communication infrastructures by investigating the digital tools used by medical technology firms to accelerate innovation beyond organizational boundaries. The academia and industry research elements each consisted of document review and semi-structured interviews. Results: While the federal SBIR/STTR programs were found to be a significant catalyst for the academic-industry economic value relationship, especially at the most crucial proof-of-concept stage, policy discrepancies between stakeholders might affect the desired program outcomes. Consensus measures and metrics were identified for both academia and industry, which inform the product and factor market conditions that drive academic-industry innovation capacity. In many cases, challenges behind these measures were also raised, highlighting the need for sensitivity to institutional mission, culture and other conditions when applying these measures. Valuation differences were also found to exist between public and private universities in entrepreneurial engagement and economic development. Conclusions: The measurement categories across both academia and industry describe adequate, dependable resources as the overarching product market theme and a talented and interconnected workforce as the overarching factor market theme. Taken together, they lead to more effective knowledge generation and diffusion, as well as a more informed NIS model with specific and practical utility for the economic value relationship between academia and industry. / Steven Ceulemans

No description available.

The following dissertation uses an exploratory and confirmatory approach to explain relationship value within the grape and wine industry in Australia. Specifically, the research develops and empirically captures and compares buyers’ and sellers’ perceptions pertaining to relationship value. A three phase model was developed from a comprehensive literature review and further enriched through a qualitative field study involving sixteen in-depth interviews with wineries and their grape suppliers in Western Australia. The hypothesised structural equation models were tested using data gathered from a comprehensive survey of 175 wineries and 400 wine grape suppliers located in South Australia, Victoria, New South Wales and Western Australia. Research findings highlight the similarities and differences in relationship value antecedents and outcomes for wineries and grape suppliers. In Phase One, it was evident from the working relationships studied that partner attributes included in the model – conflict resolution, communication, performance satisfaction, trust and cooperation - all made an important contribution towards the realisation of relationship value for both parties. A restrained use of power was found to be critical to avoid a reduction in the ability to resolve conflict, the level of performance satisfaction and trust in the relationship. / In Phase Two, profitability benefits were shown to be the strongest predictors of relationship value, whilst the realisation of market and scout benefits strongly assisted firms to innovate. Perceptions of relationship costs were comparatively low for both customers and suppliers. The results of the Phase Three model provide rare empirical evidence which showed that while both parties share these same key relational antecedents and value outcomes (profitability benefits, innovation and market/scout benefits and relationship costs), the means by which relationship value is conferred was significantly different. For customers, satisfaction with a supplier’s performance enhanced perceptions of the value of that relationship due to the potential to increase profitability. Also, customer perceptions of relationship value increased through trust and cooperation. In contrast, suppliers in a trusting and cooperative relationship with a customer have the opportunity to increase the value of their relationships to the extent that they are willing to innovate to build strategic position, reduce costs and improve quality to increase profitability. Cluster analysis revealed there were those firms with a high relational orientation and others with a low relational orientation within both winery and grape supplier groups. Specifically, those wineries and grape suppliers with higher levels of conflict resolution, communication, performance satisfaction, trust and cooperation had corresponding higher levels of relationship value.

This research has investigated factors that affect the successful commercialization of intellectual capital. The concept of social constructs of meaning for the interview participants provides the fundamental perspective of this research. The research was undertaken on the basis of a constructivist ontology, the epistemology was interpretivist, and a qualitative methodology was used. A constructivist ontology was selected due to the research aim to understand the perceptions of the interview participants. The interpretivist approach provided the framework to interpret meaning of the perceptions in the appropriate business context. The data collection methods included unstructured interviews of people holding key decision making positions within their organizations. The conceptual nature of intellectual capital and commercialization enabled the research to be viewed from a phenomenological perspective and aspects of grounded theory were applied in seeking meaning from interviewee perceptions to surface a theoretical model. The data analysis included coding of the interview transcripts utilizing NVivo qualitative research software and sorting the data into nodes. The nodes represented categories of information which became the foundations of the constructs. These nodes were examined for relationship and meaning until a theoretical model emerged from the data. The findings culminated in six (6) main constructs which were subsequently aggregated to form a composite model of factors which influence the commercialization process. / In addition a further discovery was made in terms of an `Intellectual Capital Approach' model which enables a classification and hierarchical relationship of intellectual capital to be mapped as a starting point for problem solving and strategy formulation. The results of this research have immediate application to business in terms of informing management about identification of intellectual capital and to consider alternative scenarios for wealth creation by way of commercialization.

This study examines the operating costs of, and intentional compliance with, the value added tax (VAT) in Ethiopia. The study focuses on assessing the magnitude and nature of operating costs, identifying areas in the design and administration of the tax that contribute to the operating costs and the problems in the operation of the tax at large, and also on the link between VAT compliance costs and intentional output VAT reporting compliance decisions. The study adopts a mixed methods research approach to test a series of hypotheses and answer research questions that emerge through the review of existing literature and the experiences of the researcher in respect of the Ethiopian tax system. Specifically, the study uses surveys of taxpayers and tax practitioners, experimental design, interviews with tax officials and documentary analysis. The study statistically analyses the data elicited from the surveys and experimental design. It also analyses the results of in-depth interviews with tax officials and examination of documents held by tax authorities and other institutions. The results of this combined research methodology reveal that VAT operating costs in Ethiopia in the fiscal year 2005/06 appear to be relatively low. However, this low level of operating costs may not imply that the VAT system in Ethiopia is simple. In particular, in the case of administrative costs it is argued that it may indicate that the tax authorities are under-resourced which in turn may have affected their ability to accomplish the responsibilities entrusted to them. In respect of compliance costs, although the total costs seem to be low, it is contended that their regressiveness is likely to impact on the equity of the tax system as a whole. Further, the results show that VAT compliance costs and intentional VAT reporting compliance decisions are inversely correlated; but this correlation is statistically weak. The results also identify several concerns in the design and administration of the tax that have bearing on the operating costs and the operation of the tax. Specifically, the existence of the relatively high registration threshold, the high frequency of VAT reporting, the use of the invoice method of accounting (the latter two pertain mainly to small businesses) and weak administration are noted. iv The thesis suggests a series of measures which could be taken by the government and by the tax authorities in particular, to address the various problems identified in the study. These measures include strengthening the administration; allowing small businesses to adopt the cash basis of accounting and report less frequently; and reducing the registration threshold. The use of tax education is also emphasised as a strategy to improve compliance.

This thesis investigates whether the tendency for Advanced Business Services to concentrate in Sydney and Melbourne implies a similar spatial bias in the propensity for innovation across the Australian economy. The various models of business innovation are reviewed. The traditional Schumpeterian view is characterized by a strategic leap in customer offer, based on some new break-through technology. Alternatively, innovation may proceed in incremental or organic fashion. Other conceptual frameworks for analyzing innovation conceive of it as a network process, which is becoming more prevalent as corporate value chains 'unbundle' with improved communication technologies, reduced barriers to capital transfers and new techniques for managing transaction risk. Regardless of which model of innovation is applied, Advanced Business Services have a critical role in sparking and facilitating innovation. This is gathering potency as the 'thinking part' of the value chain becomes increasingly separable from the 'making' and 'distribution' aspects of production. While Advanced Business Services are vital to successful innovation in the modern economy, they continue to operate within primitive commercial models where social networks and trust based relationships are paramount in successful client service. The innovation catalyst function of Advanced Business Services may be prone to a significant distance deterioration effect, because of the difficulty of maintaining the requisite social relationships over an extended geography. This, in turn, suggests an emergent core and periphery geography in innovation. The thesis examines this hypothesis through both demand and supply side analyses. The latter involves a random sample survey of approximately 100 Advanced Business Service firms in Melbourne. This confirms the tendency of these firms to favour local clients. The demand side analysis includes case studies of Advanced Business Service use and innovation outcomes amongst six metropolitan Melbourne based firms and six similar firms based some two hours drive away in Bendigo. In line with the hypothesis, the metropolitan cases show much stronger engagement with knowledge intensive advisory services than their counterparts in regional Victoria. The demand side analysis also includes a quantitative component, which is exploratory in nature owing to data limitations. It considers how innovation outcomes in manufacturing change with increasing distance from key Advanced Business Service centres. Innovation outcomes are proxied by variations in manufacturing worker wages. These results are also consistent with the hypothesis of distance deterioration in the innovation role of Advanced Business Services.

A key purpose of this qualitative study was to gain an understanding of classroom teachers' perceptions of the value and impact of formative assessment in secondary schools in Solomon Islands. The process of data collection included initial interviews with five classroom teachers selected from four secondary schools in Honiara, Solomon Islands. The interviews were conducted using semistructured interviews with each of the teachers and ended with a focus group conversation. The findings of this study indicated that formative assessment, as a classroom strategy, does have a place in secondary schools in Solomon Islands. Assessment for learning (AfL) is currently employed by these teachers, but the form of formative assessment as reported being used in Solomon Islands secondary school classrooms is limited by policies, systems and methods employed by schools. This study suggests that if classroom teachers are to become effective 'mediators of learning' they must have a better theoretical understanding of social constructivism and metacognition. Otherwise, assessment will always sit outside the process of learning, and classroom teachers and learners will always play traditional rather than contemporary roles in the learning and teaching (and assessment) process. For improvements to be made in areas highlighted in this study, focus must be on teacher knowledge and ability and the policies and practices of schools. Unless teachers, students, parents and policymakers see and value the potential of formative assessment, it will continue to be underemphasized, under-valued and under-used.

Master of Engineering (Research) / In many multi-objective missions there are situations when actions based on maximum information gain may not be the `best' given the overall mission objectives. In addition to properties such as entropy, information also has value, which is situationally dependent. This thesis examines the concept of information value in a multi-objective mission from an information theory perspective. A derivation of information value is presented that considers both the context of information, via a fused world belief state, and a system mission. The derived information value is used as part of the objective function for control of autonomous platforms within a framework developed for human robot cooperative control. A simulated security operation in a structured environment is implemented to test both the framework, and information value based control. The simulation involves a system of heterogeneous, sensor equipped Unmanned Aerial Vehicles (UAVs), tasked with gathering information regarding ground vehicles. The UAVs support an e ort to protect a number of important buildings in the area of operation. Thus, the purpose of the information is to aid the security operation by ensuring that security forces can deploy e ciently to counter any threat. A number of di erent local controllers using information based control are implemented and compared to a task based control scheme. The relative performance of each is examined with respect to a number of performance metrics with conclusions drawn regarding the performance and exibility of information value based control.

This thesis analyses theories of practical reason. In particular I compare desire theories of reasons with value theories of reasons. Desire theories of reasons, as I define them, claim that it is a necessary condition of A having a reason to ф that A’s reason depend on A’s antecedent desires. In contrast, I define value theories of reasons as those theories that claim that it is a necessary condition of A having a reason to ф that A’s ф-ing be valuable. In this thesis my main concern lies with those value theorists who accept the motivational requirement: the claim that if an agent is to have a reason to ф, then it must be possible for the agent to ф on the basis of this reason. In particular, I concentrate on those value theorists who claim that A has a reason to ф iff a) A’s ф-ing is valuable; b) it is possible for A to ф on the basis of this reason. I reject desire theories of reasons on the basis of several criticisms. I claim that our desires are normatively arbitrary, and that according to desire theories of reasons, some of our desires ought to be eradicated. I argue instead for a value theory of reasons that adopts a particular interpretation of the motivational requirement. I distinguish three different interpretations of the motivational requirement, each offering a connection between reasons and motivations that differs in strength. The first, strongest requirement claims that in order for A to have a normative reason to ф, it must be possible for A to ф on the basis of this reason given certain qualities that A possesses (where I take the sense of ‘possible’ relevant to these interpretations to be one that reflects an agent’s capacities). The second and weakest requirement claims that in order for A to have a normative reason to ф, it must be possible for A to ф on the basis of this reason if A possessed certain qualities. The last and moderate requirement claims that in order for A to have a normative reason to ф, it must be possible for A to ф on the basis of this reason if A possessed certain qualities and A either has these qualities, or it is possible for her to get herself into a state where she has them. I argue for a value theory of reasons that employs this last, moderate motivational requirement. I argue that a value theory that adopts the moderate motivational requirement is best, as it allows the theory to be practically useful; reasons on this account have a role in deterrence, encouragement and praise- and blame-worthiness. The theory also aligns with a plausible account of eligible candidates for reasons. While the employment of the moderate motivational requirement in a value theory of reasons likens the theory, in some respects, to a desire theory, it avoids the objections raised against desire theories of reasons. In this way, a value theory of reasons that employs the moderate motivational requirement combines the attractive features of a desire theory and a value theory. Specifically, it generates reasons that are both dependent on an individual’s qualities, and also aligned with an account of value. / Thesis (Ph.D.) - University of Adelaide, School of Humanities, 2008