在对中国省际接壤地区空间组织结构分析的基础上作者采用现代数学方法建立了Ｎ维边界地区（即同时和Ｎ个省级行政区接壤的区域）的空间经济为模型．通过证明得出：在自然、地理和技术条件不变的情况下，Ｎ维边界地区经济系统的大量产出（Ｆ＿Ｎ￣＊）不会超过Ｎ－１维边界地区经济系统的最大产出（Ｆ＿（Ｎ－１）￣＊），余类推，即： Based on the analysis of the spatial organization structure of China’s inter-provincial border areas, the author uses the modern mathematical method to establish the space economy model of N-dimensional boundary area (that is, the area bordering with N provincial administrative areas at the same time). The proof shows that the large output of the economic system in the N-dimensional boundary area (F_N *) will not exceed the maximum output of the economic system in the N-1 -dimensional boundary area under the condition of the same natural, geographical and technological conditions (N-1) ¯ *), and so on, that is: