Method of Mathematical Theory of Moments

IF 0.3 Q3 SOCIAL SCIENCES, INTERDISCIPLINARY
Bulatnikova Irina Vyacheslavovna
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引用次数: 0

Abstract

Infinite matrices play an important role in many aspects of analysis, algebra, differential equations, andthetheory of mechanical vibrations.Jacobi matrices are interestingbecause they are the simplest representatives of symmetric operators in infinite-dimensional space. they are used in interpolation theory, quantum physics, moment problem.In this paper, basedon the elements of Jacobi matrix, itwill be determinedthe type of the operator that occurs when processing the results of measurements of random variables. The first type of operators arematrices,for which the moment problem has a unique solution, and Jacobi matrix generates a specific moment problem. The second type of operators arematrices, for which the moment problem has many solutions, and Jacobi matrix is said to generate an indeterminate moment problem.
矩的数学理论方法
无限矩阵在分析、代数、微分方程和机械振动理论的许多方面起着重要的作用。雅可比矩阵很有趣,因为它们是无限维空间中对称算子的最简单表示。它们被用于插值理论,量子物理,力矩问题。本文从雅可比矩阵的元素出发,确定了处理随机变量测量结果时发生的算子的类型。第一类算子是矩阵,其矩问题有唯一解,雅可比矩阵生成一个特定的矩问题。第二类算子是矩阵,其矩问题有很多解,雅可比矩阵产生的是一个不定矩问题。
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来源期刊
Revista de la Universidad del Zulia
Revista de la Universidad del Zulia SOCIAL SCIENCES, INTERDISCIPLINARY-
自引率
33.30%
发文量
74
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