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ڈیجیٹل بچے

 ڈیجیٹل بچے

محمد علی صدیقی

"انٹرنیٹ اور موبائیل نے نوجوان نسل کو کہاں پہنچا دیا ہے سمجھ میں نہیں آتا۔ آنے والا کل نہ جانے کیسا ہو۔!!۔" مینیجنگ کمیٹی کے صدر نے فکرمند لہجے میں کہا۔

"اتنی مایوسی ٹھیک نہی" میں نے کہا۔

میں کچھ اور بھی کہنے والا تھا کہ ایک ٹیچر درجہ چہارم کی ایک بچی کو لے کر آفس میں داخل ہوئیں اور بولیں

"سر یہ آپ سے کچھ کہنا چاہتی ہے۔"

"ہاں۔ کہو" میں نے ان کی طرف متوجہ ہوتے ہوئے کہا۔

"سر۔۔۔ کلاس میں ایک لڑکا مجھے بھابھی بلاتا ہے۔"

وہ اپنی مسکراہٹ چھپانے کی ناکام کوشش کر رہی تھی۔ مجھے کچھ عجیب سا لگا۔ میں نے اس بچے کو بلا کر وارننگ دی اور ٹیچر سے کہا

"آپ لوگ یہ شکایتیں خود ہی سن لیا کریں۔ آفس میں نہ لایا کریں۔"

"ہم تو سنتے ہی رہتے ہیں سر۔ میں نے سوچا کہ آج آپ بھی سن لیں" ٹیچر نے تھکے ہوئے لہجے میں کہا، " کل کے۔جی کا ایک بچہ اپنے ساتھ بیٹھی بچی سے پوچھ رہا تھا کہ کیا وہ اس سے پیار کرتی ہے۔ بچی کی شکایت پر میں نے ان دونوں کو الگ الگ بٹھا دیا لیکن کچھ ہی دیر بعد دونوں پھر ایک ساتھ بیٹھے باتیں کرتے نظر آئے۔"

میں نے ٹیچر کو جانے کا اشارہ کیا اور صدر کی طرف دیکھا۔ ان کے چہرے پر ایک معنی خیز مسکراہٹ کھیل رہی تھی۔

 

Perceived Online Social Support, Internet Addiction, and Psychological Wellbeing among University students

This study aims to explore the relationship between perceived online social support, internet addiction, and psychological well-being among university students. A sample of 250 university students from different universities in Lahore was included in this study. A purposive sampling strategy was used to collect survey data using internationally standardized tools. Pearson Product Moment Correlation and Multiple Hierarchical Linear Regression results showed that two subscales of perceived online social support, friends, and family, had a significant positive relationship with psychological well-being among university students. Among predictors, the current level of the semester and one subscale of perceived online social support- family, emerged as a significant positive predictor of psychological well-being among university students. The study concludes that family and friends are integral to the psychological well-being of university students and interventions must be planned to ensure that university students living far from home and those with excessive workloads have sufficient online and offline time with family and friends for mental health and well-being.

Numerical Solutions of Population Balance Models in Dispersed Systems

This work focuses on the modeling and numerical approximation of population balance models (PBMs) for simulating dispersed systems, especially the batch crystallization pro- cess. Apart from applying the existing numerical schemes, new numerical techniques are introduced for solving these models efficiently and accurately. The effects of nucleation, growth, aggregation, breakage, and fines dissolution phenomena on the crystal size distri- bution (CSD) are investigated. An alternative quadrature method of moments (QMOM) is introduced for solving the single-variate length-based PBM incorporating simultaneous nucleation, growth, aggregation and breakage phenomena. In the proposed QMOM, or- thogonal polynomials, formed by lower order moments, are used to find the quadrature points and weights. To ensure better accuracy of the scheme, a third order orthogonal polynomial, utilizing the first six moments, is selected to calculate the quadrature points (abscissas) and corresponding quadrature weights. Therefore, at least a six moment sys- tem is needed to solve. This choice of polynomial gives a three-point Gaussian quadrature rule which generally yields exact results for polynomials of degree five or less. A mathe- matical model is derived for simulating batch crystallization process incorporating crystals nucleation, size-dependent growth and dissolution of small nuclei below certain critical size in a recycling pipe. Moreover, a time delay in the dissolution unit is also incorporated in the model. The dissolution of small crystals (fines dissolution) is helpful to further improve the product CSD. It withdraws and dissolve excessive fines from the quiescent zone of crystallizer which are generated during periods of high supersaturation. This ef- fectively shifts the CSD towards right and often makes the distribution narrow. A new numerical scheme is introduced for simulating this model. The method of characteristics, the Duhamel’s principle, and the QMOM are employed together to devise the proposed numerical scheme. Several test problems are considered and the numerical results are val- idated against available analytical solutions and the finite volume scheme (FVS). It was found that the suggested numerical methods have capability to solve the given models efficiently and accurately.
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