جریب حیات(افسانہ)
ڈاکٹر مجاہد عباس ،لیکچرر، نمل یونیورسٹی اسلام آباد
جریب زمین کے لیے ہے یا حیات کے لیے، زمین اور حیات دونوں ہی اس سے ناواقف رہتی ہیں۔ البتہ انسان جو زمین سے اگایا جاتا ہے اور پھر زمین میں ہی دبایا جاتا ہے جریبوں کی پیمائش بن کے رہ جاتا ہے۔
اقصیٰ کےلبوں پر سَرمیلی بسنت کے پھول کھل رہے تھے۔اُس نے زمین کی طرف جھکتے ہوئے اپنی زلف ِ دراز کو بائیں کان کی اوٹ میں سُلا دیا اور زمین پر گرے کاغذ کو ہتھیلی پر رکھ کر دل میں اُتار لیا۔ اُسے اپنے پیلے لباس کی مہک وصل کی چاندنی رات کا قصہ ِ ناتمام سنارہی تھی مگر وہ مسلسل سوچوں کی جریب سے پرائے موریے اور بورنیو کے جنگلات کی پیمائش کر رہی تھی۔وہ اُن جنگلات کے سحر انگیز مناظر میں یوں کھوئے جا رہی تھی جیسے دین و دنیا کی متاع ِ بے پایاں اُسے نصیب ہو گئی ہو۔وہ ایک ایک پودے کے ایک ایک پتے کے ایک ایک ملائم اور تیزکنارے کو چھو کر اس کی خوشبو اور لطافت کو جذب کر رہی تھی۔ وہ خود کو پرسکون سبز سمندر کی کشتی سمجھ کر ہوا کے رخ پر دھیرے دھیرے رواں دواں تھی۔ ابھی اُس نے اپنی کمر سیدھی نہیں کی تھی کہ اسےگلی سے گزرتی ہوئی لاری کی آواز سنائی دی جس پر اے کلاس چنیوٹی فرنیچر سلیقے سے لادا گیا تھا۔
اس نے ٹیَلوں لگے فرش سے پلاسٹک کی میز اور کرسیاں اٹھا کر گھر کی پچھلی طرف لان میں رکھ دیں جہاں پھولوں کے احاطے میں سبزے کی بہار تھی۔ یہ لان اس کی زندگی میں افضال کی طرح اہمیت رکھتا تھا۔ وہ جب بھی تھک جاتی تو وہاں آرام کرتی تھی، پودوں...
Youth Empowerment has always been an icon of progressive process where young people are encouraged to peep into their future. It is not limited to develop individuals rather to formulate a great community change which rely on the development of individual capacity. Having dazzling achievements on its dimensions, the evolution of Islam flourished due to the youth’s inspiring role for the cognitive development in every sphere of life. The Holy Prophet (ﷺ) explored his young companions’ access to their resources, then transformed their consciousness, intellect and ensured their empowerment to promote traditional, moral and theological values. Its aim has always been to improve one’s quality of life in social, economic, socio-political and even war fares as well. Enhance to companions young his empowered (صلى الله عليه وسلم) Prophet Holy The their belief in self-efficacy in various territories. They battled against their contemporary challenges to meet positive sense of self-control, decision making skills, moral system of beliefs and pro-social connectedness. All these have numerous instances for their substantiations. The present research paper will substantiate the young companions’ pivotal efforts in the early age of Madīnah city to promote Islamic norms, their key role in battles, compilation of Qur’ān and Ḥadīth and various other significant defensive roles performed by the youth of that era after given powers by that highlight also will paper research present The. (صلى الله عليه وسلم) Prophet Holy the how the youth of today can empower itself to utilize their perceptive. (صلى الله عليه وسلم) Prophet Holy of companions young by archives set the from app
Many topological indices which are being used by researchers in the quantitative structure-property relationship (QSPR) and quantitative structure-activity relationship (QSAR) studies to predict the physico-chemical properties of molecules, are based on vertex degrees of the corresponding molecular graphs. When a new topological index is introduced in chemical graph theory, one of the important questions that need to be answered is for which members of a certain class of n-vertex graphs this index assumes minimal and maximal values? On the other hand, there are many well known graph families and vertex-degree-based topological indices in the literature for which this question remains open. The main purpose of current study is to address this open question for some well known families of graphs. Firstly, the collection of all k-polygonal chains (for k = 3, 4, 5) with fixed number of k-polygons is considered and the extremal elements from this family are characterized with respect to several well known bond incident degree (BID) indices (BID indices form a subclass of the class of all vertex-degree-based topological indices). From the derived results, many already reported results are obtained as corollaries. Furthermore, the extremal 4-polygonal (polyomino) chains for some renowned vertex-degree-based topological indices (other than BID indices) are also determined. Next, the problem of characterizing the extremal cacti over the certain classes of cacti (tree-like polyphenylene systems, spiro hexagonal systems and general cacti) with some fixed parameters is addressed for various well known vertex-degree-based topological indices. Finally, some mathematical properties of the atom-bond connectivity index and augmented Zagreb index are explored