The Relationship between the Letters of Al-Iḫlāṣ (Q 112:1-4) and Their Iterations Using B-Spline Function

Faoziya S.M. Musbah
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Abstract

Al-Iḫlāṣ is an important chapter within the Holy Quran (words of God) because it is a brief declaration of the absolute unity of God (Allah). This paper analyzes al-Iḫlāṣ mathematically in order to gain an understanding of the relationship between the letters of this chapter and their iterations. The analyzed two-dimensional data points (xi,yi) define a piecewise linear curve that is shaped like Allah’s name as it is written in Arabic. The B-spline function is used to analyze this data so as to obtain a second degree curve.
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用b样条函数求Al-Iḫlāṣ (Q 112:1-4)的字母与其迭代的关系
Al-Iḫlāṣ是《古兰经》(真主的话语)中重要的一章,因为它简短地宣告了真主(安拉)的绝对统一。本文对al-Iḫlāṣ进行了数学分析,以了解本章字母及其迭代之间的关系。被分析的二维数据点(xi,yi)定义了一条分段线性曲线,形状像阿拉的名字,因为它是用阿拉伯语写的。利用b样条函数对该数据进行分析,得到二次曲线。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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