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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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Gaussian Integer Solutions of the Diophantine Equation x^4+y^4=z^3 for x≠ y
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The investigation of determining solutions for the Diophantine equation  over the Gaussian integer ring for the specific case of  is discussed. The discussion includes various preliminary results later used to build the resolvent theory of the Diophantine equation studied. Our findings show the existence of infinitely many solutions. Since the analytical method used here is based on simple algebraic properties, it can be easily generalized to study the behavior and the conditions for the existence of solutions to other Diophantine equations, allowing a deeper understanding, even when no general solution is known.

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