Complete Sudoku - extra rules for more symmetry

We propose some extra rules to add to the well-known Sudoku puzzle and present an argument to justify their inclusion. The rules mean that puzzles can be created with fewer cells completed initially yet which still have only one solution. We have created a Web-based program which can be used to generate and solve both standard and extended (Complete) puzzles.

Cumulative or sequential assessment during hermit crab shell fights: effects of oxygen on decision rules

Agonistic interactions between animals are often settled by the use of repeated signals which advertise the resource-holding potential of the sender. According to the sequential assessment game this repetition increases the accuracy with which receivers may assess the signal, but under the cumulative assessment model the repeated performances accumulate to give a signal of stamina. These models may be distinguished by the temporal pattern of signalling they predict and by the decision rules used by the contestants. Hermit crabs engage in shell fights over possession of the gastropod shells that they inhabit. During these interactions the two roles of signaller and receiver may be examined separately because they are fixed for the duration of the encounter. Attackers rap their shell against that of the defender in a series of bouts whereas defenders remain tightly withdrawn into their shells for the duration of the contest. At the end of a fight the attacker may evict the defender from its shell or decide to give up without first effecting an eviction; the decision for defenders is either to maintain a grip on its shell or to release the shell and allow itself to be evicted. We manipulated fatigue levels separately for attackers and defenders, by varying the oxygen concentration of the water that they are held in prior to fighting, and examined the effects that this has on the likelihood of each decision and on the temporal pattern of rapping. We show that the vigour of rapping and the likelihood of eviction are reduced when the attacker is subjected to low oxygen but that this treatment has no effect on rates of eviction when applied to defenders. We conclude that defenders compare the vigour of rapping with an absolute threshold rather than with a relative threshold when making their decision. The data are compatible with the cumulative assessment model and with the idea that shell rapping signals the stamina of attackers, but do not fit the predictions of the sequential assessment game.

Purchasing power parity versus fixed exchange rate rules: A stability and welfare analysis

This paper evaluates the desirability of PPP rules vis-á-vis fixed exchange rates both in terms of welfare and stability properties. The analysis is conducted within a small open-economy New Keynesian framework extended to include a cost channel. In terms of stability, we find that while the equilibrium is always unique under fixed exchange rates its uniqueness critically depends upon the presence/absence of the cost channel under a PPP rule. Overall, then, in terms of welfare a fixed exchange rate always outperforms a PPP rule.

Measuring inconsistency in network intrusion rules

In this preliminary case study, we investigate how inconsistency in a network intrusion detection rule set can be measured. To achieve this, we first examine the structure of these rules which incorporate regular expression (Regex) pattern matching. We then identify primitive elements in these rules in order to translate the rules into their (equivalent) logical forms and to establish connections between them. Additional rules from background knowledge are also introduced to make the correlations among rules more explicit. Finally, we measure the degree of inconsistency in formulae of such a rule set (using the Scoring function, Shapley inconsistency values and Blame measure for prioritized knowledge) and compare the informativeness of these measures. We conclude that such measures are useful for the network intrusion domain assuming that incorporating domain knowledge for correlation of rules is feasible.

WTO government procurement rules and the local dynamics of procurement policies: A malaysian case study

This article examines efforts to create binding international rules regulating public procurement and considers, in particular, the failure to reach a WTO agreement oil transparency in government procurement. The particular focus of the discussion is the approach taken by Malaysia to these international procurement rules and to the negotiation of an agreement on transparency. Rules governing public procurement directly implicate fundamental arrangements of authority amongst and between different parts of government, its citizens and non-citizens. At the same time, the rules touch upon areas that are particularly sensitive for some developing countries. Many governments use preferences in public procurement to accomplish important redistributive and developmental goals. Malaysia has long used significant preferences in public procurement to further sensitive developmental policies targeted at improving the economic strength of native Malays. Malaysia also has political and legal arrangements substantially at odds with fundamental elements of proposed global public procurement rules. Malaysia has, therefore, been forceful in resisting being bound by international public procurement rules, and has played all important role in defeating the proposed agreement oil transparency. We suggest that our case study has implications beyond procurement. The development of international public procurement rules appears to be guided by many of the same values that guide the broader effort to create a global administrative law. This case study, therefore, has implications for the broader exploration of these efforts to develop a global administrative law, in particular the relationship between such efforts and the interests of developing countries.

‘Playing it by the rules': the politics of research in ‘race' and education

This article offers an examination of the interplay between politics, ethics, theory and methodology as they impact upon social research, through a critical analysis of the ethnographic study conducted by Peter Foster. It will be argued that his highly contentious claim to have found no manifestations of racism (either direct or indirect) throughout his study of an inner-city, multi-ethnic comprehensive school was, in the last analysis, both misleading and inaccurate. It will be contended that such claims were based upon a research design and methodology which were ultimately determined by his own political orientation and the ethical and theoretical positions which he developed as a consequence.