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This paper is concerned with methods of evaluating numerical solutions of the non-linear partial differential equationwheresubject to the boundary conditionsA, k, q are known constants.Equation (1) is of the type which arises in problems of heat flow when there is an internal generation of heat within the medium; if the heat is due to a chemical reaction proceeding at each point at a rate depending upon the local temperature, the rate of heat generation is often defined by an equation such as (2).

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This article suggests that American municipal police departments are highly institutionalized organizations and should be studied in terms of how their formal structure and activities are shaped by powerful myths in their institutional environment. The incorporation of powerful myths into the structure and activities of police departments enables them to attain legitimacy; with legitimacy comes stability and protection from outside interference by powerful sovereign actors who are present in the enveloping institutional environment. However, legitimacy problems arising from conflicting institutional myths may precipitate full-blown organizational crises. Such police department crises are resolved ceremonially through a ritual that combines the public degradation of the department and the removal and replacement of the disgraced police chief by a new chief with a "legitimating" mandate.