论文标题
经典统计力学中功率系数系数的表示。他们的分类和复杂性标准
Representations of coefficients of power series in classical statistical mechanics. Their classification and complexity criteria
论文作者
论文摘要
宣布，简化电源系列经典统计力学系数的表示的目的是简化使用其简化表示的系数估算的过程。本文的目的是：为复杂性（从上述角度）制定标准（从上面的角度）来表示经典统计力学的功率系列系数的代表性，并通过比较病毒系数的REE-hovover表示的示例（简要地 - 简要地位 - rh表示）与基于电源系列的概念的概念（简要 - RH表示）的应用来证明它们的应用。 FC）。为了解决这些问题，引入了数学概念（例如基本产品，基本积分，基本的线性组合，基本的线性组合，以及无效的复杂性系数（缩写 - BLC与CIC）以及在上面的统计学统计学的属性系列的属性系列中，均与Blc的分类有关。在CIC中，根据每个标准，都可以根据构造构建的精度来估算这些标准的功率系列。将RH表示与基于概念FC的功率序列系数的表示形式进行了比较。
It is declared that the aim of simplifying representations of coefficients of power series of classical statistical mechanics is to simplify a process of obtaining estimates of the coefficients using their simplified representations. The aim of the article is: to formulate criteria for the complexity (from the above point of view) of representations of coefficients of the power series of classical statistical mechanics and to demonstrate their application by examples of comparing the Ree-Hoover representations of virial coefficients (briefly -- the RH representations) with such representations of power series coefficients that are based on the conception of the frame classification of labeled graphs (the abbreviation -- FC). To solve these problems, mathematical notions were introduced (such as a basic product, a basic integral, a basic linear combination, a basic linear combination with coefficients of insignificant complexity(the abbreviation -- BLC with CIC) and the classification of representations of the coefficients of power series of classical statistical mechanics is proposed. In the classification, the class of BLC's with CIC is the most important. It includes all the above representations of the coefficients of power series of classical statistical mechanics. Three criteria are formulated for estimate the comparative complexity of BLC's with CIC. These criteria are ordered by their accuracy. Based on each of these criteria, a criterion for the comparative complexity of finite sets of BLC's with CIC is constructed. The constructed criteria are ordered by their accuracy. The application of all the constructed criteria is demonstrated by examples of comparing RH representations with the representations of the power series coefficients based on the concept FC. The obtained results are presented in the tables and commented.
