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This text follows mainly the ideas of Grigory Isaakovich Barenblatt (1927–2018). Processes and associated parameters are characterized by certain quantities. These quantities are measured by comparing certain standards of units of measurement with them. These units are currently tied to some natural physical processes, for example, for a unit of length of 1 m, 1,650,736.73 wavelengths of radiation in vacuum are chosen during the transition from the 2P10 level to 5d 5 of the krypton-86 atom. The previously existing standard was equal to one forty-millionth of the length of the Parisian meridian, measured according to the proposal Laplace during the Great French Revolution. The length of such a rod is called a meter, and it is kept in the Chamber of Weights and Measures in Paris.

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Similarity and Dimension, Rules of Action

  • 章节

  • 发表日期：

    2025年

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  • Georgy Golitsyn,
  • Costas Varotsos

摘要

This text follows mainly the ideas of Grigory Isaakovich Barenblatt (1927–2018). Processes and associated parameters are characterized by certain quantities. These quantities are measured by comparing certain standards of units of measurement with them. These units are currently tied to some natural physical processes, for example, for a unit of length of 1 m, 1,650,736.73 wavelengths of radiation in vacuum are chosen during the transition from the 2P10 level to 5d 5 of the krypton-86 atom. The previously existing standard was equal to one forty-millionth of the length of the Parisian meridian, measured according to the proposal Laplace during the Great French Revolution. The length of such a rod is called a meter, and it is kept in the Chamber of Weights and Measures in Paris.