College Physics ›› 2018, Vol. 37 ›› Issue (2): 11-17.doi: 10.16854 /j.cnki.1000-0712.170262-2

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Introduction to dimensional analysis( continuation-2)

LIANG Can-bin1,CAO Zhou-jian2,CHEN Zhi-tao3   

  1. 1. Department of Physics,Beijing Normal University,Beijing 100875,China; 2. Institute of Applied Mathematics,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China; 3. Postgraduate Student at University of Erlangen-Nuremberg,Germany
  • Online:2018-02-20 Published:2018-02-20

Abstract: A novel and systematic dimensional analysis is presented. A few new concepts such as“quantity class”and“class of unit systems”are coined,and a clear cut definition of“dimension”is provided. A self-contented proof of the Π theorem is presented based on these new concepts,and two examples illustrating the great power of the theorem are also given.

Key words: quantity, number, system of units, dimension