امام طبری كے حالات زندگی اور تفسیری منہج

Ibne Jareer Al-Tabar┘ is well known personality in the 3rd century as no one second in his period. His opinion was considered authentic due to his knowledge and virtue. He was great scholar, commentator, narrator, jurisprudent and historian. Taftheer Ibne Jareer Al-Tabar┘ is used as basic source for those who follow “Transcribed Method”. He established a separate school of thought due to his over command on Fiqah. This paper describes the “The Exegetical Methodology and the Biography of Ibne Jareer Al-Tabar┘”. The Tafsir gives information about older commentaries which have not survived to the present. Its content —which encompasses dictionaries, historical notes, law, recitation, theology and Arabic literature— has made it a highly referenced book throughout history, resulting in many editions. It is also a good example of reasoning in a Tafsir by a widely accepted scholar, giving it a value of diraya.

M-Polynomials and Topological Indices of Some Nanotubes and Nanotorous

M-Polynomial as well as degree based topological indices are such mathematical calculations which play a vital role in understanding the structure related physical, chemical and biological properties of the nanosheet, nanotube and nanotorous. Topological indices are statistical tendencies that frequently give a picture of quantitative structural movement, interaction and associate certain corporeal and chemical properties, for instance boiling point, solidity, melting point and straining energy of relevant nanomaterial. In this research work, we come across central forms of M-Polynomial of H-Naphtalenic and C4C8 nanotubes along with nanotorous. In addition, we develop topological indices on the basis of degree for the discussed hydrocarbons with the help of M-Polynomials.