The 1 ^ , 2s(?g, 3 s(Tg,2p<xu, 3 pcru,4:pcru, 3dcrg, 4fcru, 2pnu and Sdng states of the hydrogen molecular ion are investigated. The main results are given in the form of tables of parameters from which the electronic wave functions (in spheroidal co-ordinates) can be obtained. A representative selection of contour diagrams is also presented.

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An iterative thinning algorithm reduces a two-dimensional pattern of strokes to its skeleton by removing layers of edge elements until each stroke has unit thickness. A parallel solution requires the independent calculation of new values for each iteration, using a window of nearest neighbors for each element. The traditional need for at least two subiterations can be avoided by modifying the window to permit the availability of intermediate calculations. Timings on an ICL DAP (an array processor) indicate an improvement of over 40 percent. Additional refinements are suggested to reduce noise in the final skeleton.

An orchestration is a multi-threaded computation which invokes a number of remote services. In practice the responsiveness of a web-service fluctuates with demand; during surges in activity service responsiveness may be degraded, perhaps even to the point of failure. An uncertainty profile formalises a user's perception of the effects of stress on an orchestration of web-services; it describes a strategic situation, modelled by a zero-sum angel-daemon game. Stressed webservice scenarios are analysed, using game theory, in a realistic way, lying between over-optimism (services are entirely reliable) and over-pessimism (all services are broken). The "resilience" of an uncertainty profile can be assessed using the valuation of its associated zero-sum game. In order to demonstrate the validity of the approach we consider two measures of resilience and a number of different stress models. It is shown how (i) uncertainty profiles can be ordered by risk (as measured by game valuations) and (ii) the structural properties of risk partial orders can be analysed.