A New Method of Transformation of Measurement

P. Zhou, W. Cai
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Abstract

The world is divided according to different scales. When we face a problem, we usually look into the problem from different perspective and then find out the solution. The different perspectives are actually different ways of measuring the object from various measurements. To change perspectives over an object is an important ability of our human beings, while it is usually not very easy for us to change perspectives in mathematics or algorithms. Pansystems methodology is a newborn developing interdisciplinary investigation of mathematics, cybernetics, systems theory and methodology from the transfield viewpoint of generalized system-transformations-symmetry. In this paper, based on the research on binary relations on sets using pansystems methodology, we propose a new method of transformation of measurement. We first introduce partial and semi-partial order relations, furthermore we give the transformation between the different order-relations. Thirdly, we reveal the essence of the order relation transformation and propose some possible applications for the relation transformation. In future work, we will focus on the relation transformation and application in relational databases.
一种新的测量变换方法
世界被划分为不同的尺度。当我们面对一个问题时,我们通常从不同的角度来看待这个问题,然后找到解决方案。不同的视角实际上是通过不同的测量方法来测量物体。改变对一个物体的视角是我们人类的一项重要能力,而在数学或算法中,我们通常不太容易改变视角。泛系统方法论是从广义系统变换-对称的跨领域观点出发,对数学、控制论、系统理论和方法论进行跨学科研究的新兴学科。本文在利用泛系统方法研究集合上的二元关系的基础上,提出了一种新的测量变换方法。首先引入了偏序关系和半偏序关系,然后给出了不同阶关系之间的变换。第三,揭示了顺序关系变换的本质,并提出了顺序关系变换的一些可能应用。在今后的工作中,我们将重点研究关系数据库中的关系转换和应用。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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