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引用次数: 19
摘要
Moore - penrose逆在2020年庆祝了它的100岁生日，因为这个术语背后的概念是由Eliakim Hastings Moore在1920年首次定义的(Bull Am Math Soc 26:39 - 395, 1920)。它在1955年被罗杰·彭罗斯爵士重新发现(Proc Camb Philos Soc 51:406-413, 1955)，可以被认为是一个停顿，在此之后，逆吸引了它应得的关注，并从此在各种应用起源的研究分支中被利用。本文对摩尔-彭罗斯逆在目前物理学及相关领域的研究中所起的作用进行了展望。纵观最新的文献，我们可以得出这样的结论:逆理论随着物理学的发展而“增长”，并且永久地(也许比以往任何时候都更加明显)作为一种强大而通用的工具来应对当前的研究问题。
The Moore–Penrose inverse: a hundred years on a frontline of physics research
The Moore–Penrose inverse celebrated its 100th birthday in 2020, as the notion standing behind the term was first defined by Eliakim Hastings Moore in 1920 (Bull Am Math Soc 26:394–395, 1920). Its rediscovery by Sir Roger Penrose in 1955 (Proc Camb Philos Soc 51:406–413, 1955) can be considered as a caesura, after which the inverse attracted the attention it deserves and has henceforth been exploited in various research branches of applied origin. The paper contemplates the role, which the Moore–Penrose inverse plays in research within physics and related areas at present. An overview of the up-to-date literature leads to the conclusion that the inverse “grows” along with the development of physics and permanently (maybe even more demonstrably now than ever before) serves as a powerful and versatile tool to cope with the current research problems.
期刊介绍：
The purpose of this journal is to catalyse, foster, and disseminate an awareness and understanding of the historical development of ideas in contemporary physics, and more generally, ideas about how Nature works.
The scope explicitly includes:
- Contributions addressing the history of physics and of physical ideas and concepts, the interplay of physics and mathematics as well as the natural sciences, and the history and philosophy of sciences, together with discussions of experimental ideas and designs - inasmuch as they clearly relate, and preferably add, to the understanding of modern physics.
- Annotated and/or contextual translations of relevant foreign-language texts.
- Careful characterisations of old and/or abandoned ideas including past mistakes and false leads, thereby helping working physicists to assess how compelling contemporary ideas may turn out to be in future, i.e. with hindsight.
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