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The traditional method of compensation for a future continuing loss in UK tort law has always been by means of a lump-sum payment.¹ The lump sum is calculated by means of a simple formula in which a net annual sum (the multiplicand) is multiplied by a factor (the multiplier) that takes into account early receipt by a rate of discount periodically set by the Lord Chancellor (at 2.5 percent since June 2001). The resulting sum provides a ‘rough and ready’ estimate of the capital sum that, if invested to achieve a real net rate of return of 2.5 percent, will fund the estimated annual loss over the expected period of that loss. The operation of this formula in the calculation of damages for loss of future earnings was demonstrated in previous chapters (4) and (5) of this volume.

This chapter provides a review of the Chinese government policies that promote the internationalization of the Chinese currency, the renminbi or RMB, which include the RMB swap arrangements between the central banks, trading of the RMB across different markets, and establishment of the dim sum bond market. In particular, we update the development of the dim sum bond market in terms of the size, amount of the issues, coupon and tenor characteristics, issuers, and investment bankers of dim sum bond issues. The dim sum bond market appears to be a promising global asset class for investors.

Logic function representations play an important role in logic design and computer design, as well as VLSI design. There are many ways to represent a logic function. Presents and classifies 11 representation methods into “unique representation category” and “non‐unique representation category”. History of these methods is also briefly mentioned. There are three non‐unique representation methods: Boolean expression;sum of products; and product sums, and eight unique representation methods: truth table; canonical sum of products; canonical product of sums; sum of minterms; product of maxterms; Karnaugh map; Boolean lattice; and Venn diagram. A theorem is found which states that Boolean expression, sum of products, product of sums, sum of minterms, product of maxterms, and Karnaugh map, form a lattice structure. The results may have useful applications in knowledge representation, pictorial knowledge representation and other related areas.

To provide a new proof of convergence of the Adomian decomposition series for solving nonlinear ordinary and partial differential equations based upon a thorough examination of the historical milieu preceding the Adomian decomposition method.

Develops a theoretical background of the Adomian decomposition method under the auspices of the Cauchy‐Kovalevskaya theorem of existence and uniqueness for solution of differential equations. Beginning from the concepts of a parametrized Taylor expansion series as previously introduced in the Murray‐Miller theorem based on analytic parameters, and the Banach‐space analog of the Taylor expansion series about a function instead of a constant as briefly discussed by Cherruault et al., the Adomian decompositions series and the series of Adomian polynomials are found to be a uniformly convergent series of analytic functions for the solution u and the nonlinear composite function f(u). To derive the unifying formula for the family of classes of Adomian polynomials, the author develops the novel notion of a sequence of parametrized partial sums as defined by truncation operators, acting upon infinite series, which induce these parametrized sums for simple discard rules and appropriate decomposition parameters. Thus, the defining algorithm of the Adomian polynomials is the difference of these consecutive parametrized partial sums.

The four classes of Adomian polynomials are shown to belong to a common family of decomposition series, which admit solution by recursion, and are derived from one unifying formula. The series of Adomian polynomials and hence the solution as computed as an Adomian decomposition series are shown to be uniformly convergent. Furthermore, the limiting value of the mth Adomian polynomial approaches zero as the index m approaches infinity for the prerequisites of the Cauchy‐Kovalevskaya theorem. The novel truncation operators as governed by discard rules are analogous to an ideal low‐pass filter, where the decomposition parameters represent the cut‐off frequency for rearranging a uniformly convergent series so as to induce the parametrized partial sums.

This paper unifies the notion of the family of Adomian polynomials for solving nonlinear differential equations. Further it presents the new notion of parametrized partial sums as a tool for rearranging a uniformly convergent series. It offers a deeper understanding of the elegant and powerful Adomian decomposition method for solving nonlinear ordinary and partial differential equations, which are of paramount importance in modeling natural phenomena and man‐made device performance parameters.

The aim of this study is to investigate the reasons for disparity between design stage elemental cost plan and final tender sum (contract sum) in building procurement. A number of risk factors responsible for such variation were identified through case study projects from which data were extracted.

Literature review determined the risk factors inherent in the preparation of design stage elemental cost plan. Interviews and thematic analysis identified the risk factors responsible for the disparity between design stage elemental cost plans and final tender sums. Analysis of documents obtained from the archives of study participants (consultant quantity surveyors) complemented responses from the interviews.

The review revealed a number of inherent risks in the design stage elemental cost plan development. The interviews further indicated that risks have an impact on and are responsible for the deviations experienced. The assessment of these risk elements could assist in determining the final tender sum from cost plans.

Findings revealed disparity between elemental cost plans and final tender sums in the region of −14 and +16 per cent. The risk factors identified were responsible for the deviations observed. With this information, Quantity Surveyors are more able to accurately forecast final tender sums of building projects from cost plans through proper risk identification and analysis, thus increasing the accuracy of design stage elemental costing.

To the best of the knowledge of the researchers, there is no recent documentary evidence of an investigation into the reasons for disparity between design stage elemental cost plan and final tender sum in traditional building procurement in New Zealand construction.

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The purpose of this paper is to introduce a summarization method to enhance the current web-search approaches by offering a summary of each clustered set of web-search results with contents addressing the same topic, which should allow the user to quickly identify the information covered in the clustered search results. Web search engines, such as Google, Bing and Yahoo!, rank the set of documents S retrieved in response to a user query and represent each document D in S using a title and a snippet, which serves as an abstract of D. Snippets, however, are not as useful as they are designed for, i.e. assisting its users to quickly identify results of interest. These snippets are inadequate in providing distinct information and capture the main contents of the corresponding documents. Moreover, when the intended information need specified in a search query is ambiguous, it is very difficult, if not impossible, for a search engine to identify precisely the set of documents that satisfy the user’s intended request without requiring additional information. Furthermore, a document title is not always a good indicator of the content of the corresponding document either.

The authors propose to develop a query-based summarizer, called Q_Sum, in solving the existing problems of Web search engines which use titles and abstracts in capturing the contents of retrieved documents. Q_Sum generates a concise/comprehensive summary for each cluster of documents retrieved in response to a user query, which saves the user’s time and effort in searching for specific information of interest by skipping the step to browse through the retrieved documents one by one.

Experimental results show that Q_Sum is effective and efficient in creating a high-quality summary for each cluster to enhance Web search.

The proposed query-based summarizer, Q_Sum, is unique based on its searching approach. Q_Sum is also a significant contribution to the Web search community, as it handles the ambiguous problem of a search query by creating summaries in response to different interpretations of the search which offer a “road map” to assist users to quickly identify information of interest.

Most organisations do not have established guidelines for the estimation and management of contingency funds. The purpose of this paper is to identify the risk factors at the construction phase causing project cost overruns, and a reliable method for the estimation of contingency sum is established.

Combined qualitative–quantitative exploratory methods were used. Qualitative interviews were conducted with five expert practitioners working in a Public Works Department in Zambia to determine how contingency sum is estimated and to explore what risk factors should be considered. Quantitative regression used cost and risk data collected from 30 recently completed building and refurbishment projects.

The qualitative study indicated that the project budget overruns constitute a major issue. This finding is in line with the paired-samples t-test results which show that the difference between the total variations and the initial contingency sum tends to be significant. The regression analysis proved that the contingency sum was positively correlated to the estimated contract sum. The qualitative interview results and Pearson correlation analysis also showed that contingency sum and project complexity tend to have a significant correlation. The research also demonstrates that the type of works is not a direct significant factor.

Because the projects used for the study were relatively short, duration of the project and economic factor of tax rate, exchange rate and inflation rate were not examined in the multiple regression analysis. Further studies should be conducted on longer projects to test out whether these risk factors are significant in influencing the project contingency.

The results demonstrate that the multiple regression method can be applied as a reliable tool to predict contingency sums. Accurate contingency sums and project budget estimates benefit construction clients and their project managers. Individual project conditions should be carefully examined when assessing the contingency.

This research establishes a reliable regression method for the assessment of the contingency for the pre-tender estimate which has significant impact on the project feasibility and cost control, using related risk factors involved in construction contingency and client’s contingency.

Zoning is typically deemed a negative‐sum game accompanied by a call for the establishment of a market for development rights. Using a formal one‐stage game of a typical zoning lottery, I demonstrate that zoning is not exclusively negative‐sum, but can also be positive‐sum, even with internalized social costs.