THE WEBER PROBLEM: FREQUENCY OF DIFFERENT SOLUTION TYPES AND EXTENSION TO REPULSIVE FORCES AND DYNAMIC PROCESSES*

ABSTRACT. The frequency of occurrence of the different types of solutions to the Weber problem is studied. These solutions are: a location at an attraction point due to a dominant force, to incompatible angles, or to concavity; a location at infinity; a location inside the polygon; and a location outside the polygon. Situations involving both attraction and repulsion points are examined in the triangle and in the more-than-three-sided polygon context, and methods for solving the corresponding problems are compared. A trigonometric solution is proposed for the triangle case involving one repulsion and two attraction points. The variation in the frequency of a location at an attraction point when the number of attraction points increases while the number of repulsion points remains the same is observed as well. Implications of the results are studied for the analysis of dynamic location processes.     

LEONTIEF TECHNOLOGY AND THE LOCATION OF THE FIRM IN A WEBER TRIANGLE–SPECIFIC LOCALIZATION THEOREMS*

In special cases of the Leontief technology's constant input-output coefficients, the general localization theorem that an interior location is a global optimum if every input or market vertex is not a local optimum [Kusumoto (1984)] is confirmed and strengthened. Sufficient conditions are proposed for the portion of a triangular space in which the firm will locate. Finally, it is shown that, if input substitution is permitted and its effects dominate spatial effects, the firm's total cost function will be monotone, as well as concave, hence the vertex is a global optimum if it is a local optimum.     

THE ALLURE OF DARK TIMES: MAX WEBER,POLITICS, AND THE CRISIS OF HISTORICISM

This article argues that realist invocations of Weber rely on an unrealistic reading of Weber's realism. In order to escape the allure of Weber's dramatic posture of crisis, we place his seminal lecture on “Politics as a Vocation” (1919) in its historical and philosophical context of a revolutionary conjuncture of dramatic proportions, compounded by a broader crisis of historicism. Weber's rhetoric, we argue, carries with it not only the emotion of crisis but is also the expression of a deeper intellectual impasse. The fatalistic despair of his position had already been detected by some of his closest contemporaries for whom Weber did not appear as a door‐opener to a historically situated theory of political action but as a telling and intriguing impasse. Although the disastrous history of interwar Europe seems to confirm Weber's bleakest predictions, it would be perverse to elevate contingent failure to the level of retrospective vindication.     

西部大学城对未来西安市城市空间扩散的影响

本文在简单介绍了西部大学城及西安市城市空间扩散基本情况的基础上,具体分析了西部大学城对未来西安市中心城区用地面积,教育空间,人口空间,产业空间等方面的城市空间扩散的影响,并提出了在此过程中需要注意的问题及对策,为促进西安市城市空间有序扩散提供一种理论支撑。     

ASSESSING THE PERFORMANCE OF AN ANCIENT BOAT—THE HASHOLME LOGBOAT

Summary. Several methods of assessing the performance of ancient boats are briefly described, including the experimental building and trials of replicas. It is considered that the method of using hydrostatic curves and speed-related coefficients is often the most cost-effective and this is used to assess the logboat from Hasholme, North Humberside of c 300 BC.