Suppose that we have a non-negative, real valued random variable x, whose distribution is governed by some unknown moment generating function M(t). Suppose further that we are given certain moments of x, then the question to be discussed in this paper is : can we find a sharp upper bounding function for the m.g.f.? It will be shown that this is usually possible both in the single variate case and in its natural extension to the multivariate case.
A telephone survey of the schools of an inner-London LEA was conducted to discover what organisations for parents (parent-teacher associations, parents' associations, friends' organisations)
Since 1980, the Derelict Land Grant program has supported reclamation of abandoned mines in the United Kingdom. The stabilization of large-scale limestone mines in the West Midlands has stimulated the development of new methods of bulk infilling using waste materials as thick pastes. Colliery spoil rock paste develops strengths of 10 to 20 kPa to support roof falls and prevent crown hole collapse. Pulverized fuel ash rock paste develops strengths over 1 MPa where lateral support to pillars is required. Smaller scale mine workings in the West Midlands and elsewhere have been stabilized using conventional grouting techniques, hydraulic and pneumatic stowing, foamed-concrete infill, bulk excavation with controlled backfill, and structural support using bolts, mesh, and shotcrete.
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