The theory of “the pairing of Surahs,” with its ancient roots, is one of the modern topics in the study of Surahs in the last century. Surah studies involve a detailed understanding of the Holy Qur'an, which is organized through understanding each Surah and the relationships between them. According to this theory, the Surahs of the Holy Qur'an are paired in twos, and they act like parallel mirrors, reflecting many images of the themes of both Surahs and interpreting and explaining each other. The main question of this research is: What is the relationship and connection between the two Surahs Noah and Jinn, which form one of the 56 pairs of Qur'anic Surahs? After studying the structure and themes of these two Surahs through a descriptive-analytical method, the research concluded that the pairing of Surah Noah and Surah Jinn is focused on comparing the foundations and methods of the preaching of Prophet Noah (A.S.) and Prophet Muhammad (PBUH). In Surah Noah, the method of Prophet Noah's (A.S.) preaching and its results over his 950 years of prophethood are presented and evaluated. In Surah Jinn, the foundations of Prophet Muhammad’s (PBUH) methods of preaching as the Seal of the Prophets are discussed and indirectly compared with the method of Prophet Noah's (A.S.) preaching. Therefore, studying this paired Surahs can also provide a basis for critically examining the methods of religious propagation in contemporary Islamic society.

semantics is one of the new approaches in Quranology of the last century. This knowledge has been very effective in the growth and promotion of Quranology today and has been welcomed by Quran scholars. One of the branches of semantics is structural semantics, and among them, one of its topics is determining the semantic domains of a word. In the following article, the semantic domain of Lail in the Holy Quran is explained. The research method is textual analysis based on the pattern of accompaniment and substitution of words with the word Lail. This study shows that the words that are related to this word in the process of companionship and succession can be examined as the semantic pairs and subsets of semantic relations day and night (inclusiveness of night and day, etc. ),Phenomena accompanying the night (moon, stars and darkness),The sections of Lail (Shafaq, Maghrib, etc. ), the functions of Lail (devotional, social, calendar, natural) and the semantic-conceptual types of Lail (complementary, intensifying, distributive and reciprocal) in the Qur'an were examined.

In this article, we consider pair frames in Banach spaces and introduce Banach pair frames. Some various concepts in the frame theory such as frames, Schauder frames, Banach frames and atomic decompositions are considered as special kinds of (Banach) pair frames. Some frame-like inequalities for (Banach) pair frames are presented. The elements that participant in the construction of (Banach) pair frames are characterized. It is shown that a Banach space X has a Banach pair frame with respect to a Banach scalar sequence space `, when it is precisely isomorphic to a complemented subspace of `. It is shown that if we are allowed to choose the scalar sequence space, pair frames and Banach pair frames with respect to the chosen scalar sequence space denote the same concept.

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In this paper we investigate the pair difference cordial labelingbehaviour of diamond ladder graph,lattitude ladder, octopus graph,pagodagraph, planter graph and semi jahangir graph. Prime labeling behaviour of plantergraph, duplication of planter graph, fusion of planter graph,switching of plantergraph, joining of two copies of planter graph were studied by A.Edward samueland S.Kalaivani[4]. Dafik, Riniatul Nur Wahidah hve been examined the RainbowAntimagic coloring of special graphs like volcano, sandat graph, sunflower,octpus,semijahangir [3]. Prihandini,R M., at.el have been studied the elegant labeling ofshackle graphs and diamond ladder graphs [16]. Classical meanness of some graphssuch as one-side step graph,double-sided step graph,grid,slanding ladder,diamondladder,lattitude ladder was studied by Alanazi et. al [1]. In [17] Yeni Susanti et.al studied the edge odd geaceful labeling behaviour of prism, antiprism, cartesianproduct graphs. The notion of pair diference cordial labeling of a graph was introduced in [7].

In this paper, we introduce nilpotent and solvable pair of polygroups. By a pair of polygroups (P, N), we mean a polygroup P with a normal sub-polygroup N of P. In addition, we obtain a necessary and su cient condition between nilpotency (solvability) of pair of polygroups and pair of groups. In particular, we extend the theory of groups to a pair of polygroups. Finally, we study the relationship between nilpotent and solvable pair of poly-groups.