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Applied Mathematics and Mechanics (English Edition) ›› 1981, Vol. 2 ›› Issue (3): 361-364.

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A Mathematical Interpretation of Dirac δ Function

王进儒   

  1. South China Institute of Technology, Guangzhou
  • 收稿日期:1980-04-01 出版日期:1981-05-18 发布日期:1981-05-18

A Mathematical Interpretation of Dirac δ Function

Wang Jin-ru   

  1. South China Institute of Technology, Guangzhou
  • Received:1980-04-01 Online:1981-05-18 Published:1981-05-18

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摘要： The two conditions (see[1] p. 58) of the Dirac function are inconsistent in standard analysis.In this paper, the author began by studying the integral of the functions on the nucleon a(o), and then, making use of the point function in infinitesimal analysis to define the Dirac function (x) so that it satisfies the condition (1.2) and δ(X)=o, for X∈R≠0 and X Some various examples of Dirac functions have been presented and some properties of the d function have been derived.

关键词: reliability growth, multiple systems, simultaneous development, AMSAA model, AMSAA-BISE model

Abstract: The two conditions (see[1] p. 58) of the Dirac function are inconsistent in standard analysis.In this paper, the author began by studying the integral of the functions on the nucleon a(o), and then, making use of the point function in infinitesimal analysis to define the Dirac function (x) so that it satisfies the condition (1.2) and δ(X)=o, for X∈R≠0 and X Some various examples of Dirac functions have been presented and some properties of the d function have been derived.

Key words: reliability growth, multiple systems, simultaneous development, AMSAA model, AMSAA-BISE model

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