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Subject matter  for speakers
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Praise be to God, Lord of the worlds, and prayers and peace be upon our master Muhammad and upon his family and companions as a whole.
    The topic of attention was drawn to the attention of the speakers, as it made me ponder it carefully, and my goal in that is to know the reason for the interest of the speakers and their care for it, and to clarify from their books the purpose of making this topic one of the advanced investigations with them.

     The idea of ​​writing a paper on the subject of consideration was not absent from my thinking, because I saw the attention of speakers on this issue, as they made it one of the first issues that they deal with studying in their works because they relate to faith in God, glory be to Him, and is linked to the method of inferring the existence of God Almighty which includes meditation on the effects of existence, as Looking at the speakers means that the person charged with the evidence looks at the evidence to move to the science in terms, meaning that you follow the evidence, reflect on it, and observe the effects of work that leads to knowledge of the existence of the mastermind creator. Sorcerer E, and the maker of the author.

     Hence you realize the importance of this topic, and for this reason the speakers expanded its research in terms of stating linguistic and idiomatic meaning, as well as in many other ways, as they discussed the necessity of commissioning in order to arrive at the knowledge of God, glory be to Him, knowledge of His attributes, what he must and impossible to do, and they answered Through this topic, there are many questions related to the matter of consideration, including: Is the commissioning of consideration binding on the public or is it restricted to the private? Is looking useful science or not benefit it? Is knowledge of God Almighty obligatory, or not? What is the origin of this obligation? Is it Sharia or the mind? And other matters related to vision.

     The speakers were not satisfied with that but rather answered all the objections and problems presented by their violators, opposing the evidence that the speakers used to infer and relied on in the ruling that consideration must be given whether these objections are directed to the legal texts inferred or to the consensus that was said or to the mental rules that supported Forensic evidence and consensus.
    That is why I found it appropriate to stand with the phrases of the speakers in an attempt to rearrange and facilitate them, enlightened by the sound scientific method and the sober research context. An approach that combines the Qur’anic statement and the verbal report, so I made my research tagged (the topic of looking at speakers), which includes an introduction, two articles, and a conclusion ..

                                  And Praise be to Allah, the Lord of the Worlds

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Publication Date
Wed Dec 03 2025
Journal Name
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Effective computational methods for solving the hyperbolic one-dimensional wave equation with nonlocal mixed boundary conditions
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This paper considers approximate solution of the hyperbolic one-dimensional wave equation with nonlocal mixed boundary conditions by improved methods based on the assumption that the solution is a double power series based on orthogonal polynomials, such as Bernstein, Legendre, and Chebyshev. The solution is ultimately compared with the original method that is based on standard polynomials by calculating the absolute error to verify the validity and accuracy of the performance.

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Learning the vocabulary of a language has great impact on acquiring that language. Many scholars in the field of language learning emphasize the importance of vocabulary as part of the learner's communicative competence, considering it the heart of language. One of the best methods of learning vocabulary is to focus on those words of high frequency. The present article is a corpus based approach to the study of vocabulary whereby the research data are analyzed quantitatively using the software program "AntWordprofiler". This program analyses new input research data in terms of already stored reliable corpora. The aim of this article is to find out whether the vocabularies used in the English textbook for Intermediate Schools in Iraq are con

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