دین اسلام کی ترویج میں دعوت و تبلیغ کی اہمیت: ایک تحقیقی جائزہ

Before the birth of the Holy prophet, human society yet again got at the verge of destruction due to apostasy and ignorance. The Holy Prophet introduced Islam to the sinking humanity. For spreading its message "Dawat"; Calling (To God) was made everybody's job. As Allah says in the holy Quran: "The Believers, men and women, are protectors, one of another: they enjoin what is just and forbid  what is evil: " (9: 71). There are three fundamental groups of preachers. The first is the "Dawat" of common people to others. It is imperative for such a preacher that he himself should get the knowledge of religion through Islamic law and then communicate every virtue of it to his family, friends, neighbors and close relatives. The second is the place of Nobles. They include the commentators of the Quran, the narrators of the Prophet's Sayings, theologians and the learned scholars. The commentators of the Quran explain the meanings of the verses of the Quran keeping in view the conditions of the Quranic sciences. The narrators interpret the meanings of the Sayings of the Holy Prophet. The theologians or the learned scholars are entitled to discuss the Quran, Prophet's Sayings and the problems of the Islamic laws. The third is the place of the favorites. These people are the perfect successors of the Prophets. They have full control over the knowledge of laws as well as over the knowledge of mysteries. As Allah says: "and purify them", (one of the responsibilities of the Holy Prophet was to purify the souls). At a place it is said: "Truly he succeeds that purifies it" (91: 9). In this article research is done on "Calling (to God) and conveying His message".

Geometric Modelling Using Subdivision Techniques

Subdivision techniques are being appreciated in geometric modelling. Curves be- ing the basic ingredient of the surfaces, have their own importance. Since no single scheme can be fit for every situation so, there is always a room to introduce new schemes. In this dissertation the interpolating curve subdivision scheme developed by Weissman [50], has been analyzed, using Laurent polynomial method. More- over, four approximating curve subdivision schemes have been developed. These schemes have also been analyzed, using Laurent polynomial method. The local supports of these schemes are determined as well. Regarding surface generation, a mathematical model of a three dimensional object using cross sectional data has been constructed. An algorithm for generating quadrilateral net is presented. The contours have been generated interpolating the data at each section, using a linear subdivision scheme introduced by Dyn et al. [17]. The contours have been, then, blended using the non-linear subdivision scheme developed Aspert [2]. The im- plementation of the schemes developed have also been depicted through different examples.