物质存在的时空条件和事物演化的数学模型

摘要

According to the inseparability of space, time and material movement, this paper proposes a mathematical model of material existence, and points out that, the non-empty space and the non-negative time are sufficient conditions for material existence. The paper also probes into the law of temporal evolution during the time course, deduces the mathematical model of dynamic change of geo-objects by introducing the concept of different and same place point set, and proves logic certainty of dynamic feature and evolution in cartographic area.%根据空间、时间和物质运动的不可分离性，给出了物质“存在”的数学模型。指出空间非空性和时间非负是物质存在的充要条件。探讨了在时间进程中时态演化的规律。引入异位点集合和同位点集后，推导了地物动态变化的数学模型。论证了制图区域的动态特点和演化的逻辑必然性。