2014年11月
Decomposition of multivariate function using the Heaviside step function
SPRINGERPLUS
- 巻
- 3
- 号
- 開始ページ
- 704
- 終了ページ
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1186/2193-1801-3-704
- 出版者・発行元
- SPRINGER INTERNATIONAL PUBLISHING AG
Whereas the Dirac delta function introduced by P. A. M. Dirac in 1930 to develop his theory of quantum mechanics has been well studied, a not famous formula related to the delta function using the Heaviside step function in a single-variable form, also given by Dirac, has been poorly studied. Following Dirac's method, we demonstrate the decomposition of a multivariate function into a sum of integrals in which each integrand is composed of a derivative of the function and a direct product of Heaviside step functions. It is an extension of Dirac's single-variable form to that for multiple variables.
- リンク情報
- ID情報
-
- DOI : 10.1186/2193-1801-3-704
- ISSN : 2193-1801
- PubMed ID : 26034693
- Web of Science ID : WOS:000359120400002