إضافة جديدة في استنباط التكاملات المحددة

Authors

  • سهيل محمد علي

Abstract

يتضمن هذا العمل طريقة جديدة لاستنباط التكاملات المحددة, والطريقة مبنية على تمثيل الإشارات
(آو التوابع) في مجالين متعاكسين في البعد: الزمن والتردد, والفضل عائد إلى أن التمثيل يتم وفق تحويل فوريير المعرف بصيغ تكاملية.

أن   الطريقة المقترحة بسيطة نسبيا ولكنها – في الواقع - وسيلة فعالة لإنشاء مكتبة عريضة من التكاملات المحددة مع إمكانية توسيع المكتبة أفقياً وشاقولياً دون حدود نظرية.

في التوسع الأفقي المعتبر نحاول الاستفادة من مختلف خواص ونظريات تحويل فوريير, وقد اعتبرت جملة من N  تابعاً أولياً فوجدنا أنه بالإمكان استنباط أضعاف هذا العدد من  التكاملات المحددة, وتتضمن الملاحق المرفقة  بعض النتائج هي أمثلة وافية على مختلف الحالات المعتبرة .

We propose a new method to derive definite integrals. The method is based on representation of signals (or functions) in two reciprocal domains .This is because the signals are represented by Fourier Transform, F.T. which is defined as integral formula.

The proposed method is relatively simple but it is a powerful tool to construct a big library of definite integrals, and to expand the library horizontally and vertically without any theoretical limits. In horizontal expansion (discussed here) we try to use the different properties and theories of F.T., and if we consider a set of N primary functions, we can derive multiple N of definite integrals .The appendices include some results which can be considered as examples to different cases in text.

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Published

2019-01-22

How to Cite

1.
علي سم. إضافة جديدة في استنباط التكاملات المحددة. Tuj-eng [Internet]. 2019Jan.22 [cited 2025Jan.22];27(2). Available from: https://journal.tishreen.edu.sy/index.php/engscnc/article/view/6906

Issue

Vol. 27 No. 2 (2005): العلوم الهندسية

Section

Articles

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Copyright (c) 2019 ttps://creativecommons.org/licenses/by-nc-sa/4.0/

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