%0 Journal Article %T 地物演化的物理基础及地物空间的布尔代数结构
Physical Foundation of Geo-Object Evolution and Boolean Algebraic Construction of Geo-Object Space %A 叶彤 %A 钟业勋 %A 胡宝清 %A 金立新 %J Advances in Geosciences %P 329-337 %@ 2163-3975 %D 2020 %I Hans Publishing %R 10.12677/AG.2020.104030 %X
物质存在与空间和时间有不可分割的联系。在时间中存在的事物,必然在时间算子的作用下发生变化,这种变化具有普遍性。A的闭集为A-,它的幂集为P(A-),也即由A-的所有子集所组成的集合。根据幂集对任意子集的包含关系,则(P(A-),∪,∩,ˉ,?,A-是布尔代数。对拓扑空间X上的基本点集αi和结构点集ei经布尔代数运算必得结果Ci∈Y,根据αi和ei的不同取值和关系,可对新生、消亡、扩大、缩小、分割、合并等多种变换子给出定义,从而揭示地物演化的数学原理。
The existence of matter is inextricably connected with space and time. Things that exist in time must change under the action of time operators, and this change is universal. Closed set of A is the A- and its power set is P(A-) , meaning the set constituted by the all subset of A-. According to the inclusion relation of power set for any subset, obtain that (P(A-),∪,∩,ˉ,?,A-  is Boolean algebra. The based αi and cstructed point set ei on tpological space X by Boolean Algebraic operation must get the result of Ci∈Y, where  Ci shows the change of  . According to the value and relation of  αi  and ei  , many kinds of transforms such as new formation, extinction, expansion, reduction, division and merging, can be defined, so as to reveal the mathematical principle of geo-object evolution.
%K 地物,演化,布尔代数,变换,定义
Geo-Object %K Evolution %K Boolean Algebra %K Transformation %K Definition %U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=35411