质量几何中的一些数学概念

G. Jelić, D. Stošovic
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引用次数: 0

摘要

几何点分布的研究在许多科学领域都具有重要的理论和实践意义。由于这种研究是在质量具有标量作用的情况下首次应用和研究的,因此将质量加载点命名为质点,处理质点在空间中的排列的学科称为几何质量学。在这门学科中,在一般情况下,在质量下,应该暗示一个任意性质的标量,它也可以是负的。例如,这门学科包括研究磁或电质量的分布,它可以是正的也可以是负的。本文介绍了质量几何中的一些重要概念,特别是在力学和物理学中。
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SOME MATHEMATICAL CONCEPTS IN GEOMETRY OF MASSES
The study of the distribution of geometrical points, loaded by some scalars plays an important role in various fields of science, of theoretical and practical character. Since such study was first applied and studied when mass had the role of played a scalar, the mass loaded point was named material point, and the discipline dealing with the arrangement of material points in space is called the geometric mass. In that discipline, in the general case under mass one should imply a scalar of arbitrary nature, which can be negative as well. For example, the discipline includes the study of distribution of magnetic or electrical masses, which can be positive and negative. This paper presents some concepts from the geometry of masses that play an important role, particularly in mechanics and physics.
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