ThermodynamicsのA-Zガイド、熱&アンプ、質量移動、流体工学
English Русский 中文 Português Español Français Deutsch 概要 編集委員会 連絡先 アクセス Begell House
View in A-Z Index

Leibniz rule of calculus is to be found in most advanced texts in mathematics, such as Wylie and Barrett (1982) or Abramowitz and Stegun (1965). The rule is represented by the equation:

This rule is used in systems where integrations need to be performed over a time-dependent domain of integration. It provides a convenient transformation from the integral between transient limits of a temporal derivative to the temporal derivative of an integral between transient limits and vice versa.

REFERENCES

Abramowitz, M. and Stegun, I. A. (1965) Handbook of Mathematical Functions. Dover, New York.

Majer, V. and Svoboda, V. (1985) Wylie, C. R. and Barrett, L. C. (1982) Advanced Engineering Mathematics. 5th Edn. McGraw-Hill Book Company.

References

  1. Abramowitz, M. and Stegun, I. A. (1965) Handbook of Mathematical Functions. Dover, New York.
  2. Majer, V. and Svoboda, V. (1985) Wylie, C. R. and Barrett, L. C. (1982) Advanced Engineering Mathematics. 5th Edn. McGraw-Hill Book Company.
表示回数: 17093 記事追加日: 2 February 2011 記事最終修正日: 11 February 2011 ©著作権 2010-2021 トップへ戻る
A-Z索引 著者/編集者 意味マップ ビジュアルギャラリー 寄稿 Guest