量纲分析简介( 续2 )

梁灿彬; 曹周键; 陈陟陶

doi:10.16854 /j.cnki.1000-0712.170262-2

大学物理 >

2018 , Vol. 37 >Issue 2: 11 - 17

DOI: https://doi.org/10.16854 /j.cnki.1000-0712.170262-2

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量纲分析简介( 续2 )

梁灿彬 ,
曹周键 ,
陈陟陶

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1. 北京师范大学物理系，北京100875; 2. 中科院应用数学所，北京100190; 3. 埃尔朗根-纽伦堡大学，德国

网络出版日期: 2018-02-20

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Introduction to dimensional analysis( continuation-2)

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

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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 published: 2018-02-20

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梁灿彬 , 曹周键 , 陈陟陶 . 量纲分析简介( 续2 )[J]. 大学物理, 2018 , 37(2) : 11 -17 . DOI: 10.16854 /j.cnki.1000-0712.170262-2

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

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