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Study of soft sets with ordered set of parameters

Thesis Info

Author

Rehman,Muhammad Muti

Supervisor

Tahir Mahmood

Department

Department of Mathematics and Statistics

Program

MS

Institute

International Islamic University

Institute Type

Public

City

Islamabad

Province

Islamabad

Country

Pakistan

Thesis Completing Year

2014

Thesis Completion Status

Completed

Page

67

Subject

Media and Communication Studies

Language

English

Other

MS 519.5 RES

Added

2021-02-17 19:49:13

Modified

2023-01-06 19:20:37

ARI ID

1676722270811

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اْردو ادب سے رشتہ جوڑتے ہی میںنے گلزار ادب سے ایک ایسے پھول توڑنے کی کوشش کی ہے جس کے توڑنے سے دل و دماغ کی انگلیوں کوگھائل ہونے سے بچانا مشکل نہیں بلکہ ناممکن بھی تھا۔ یہ تجربہ میری زندگی کا پہلا اور مشکل تجربہ ثابت ہوا اوریہ احساس ہوا کہ کسی شخصیت پر قلم اْٹھانا اور کسی شخصیت کی فکر اور سوچ کے پوشید ہ گوشوں کی نقاب کشائی کرنا کس قدر کٹھن کام ہے۔ آج یہ کام محنت ، لگن اور بالخصوص اللہ کے فضل وکرم سے اپنے پایہ تکمیل کوپہنچا جوکہ میرے لیے باعث افتخار و مسرت ہے۔ اس ضمن میں بڑی خوشی ہوتی ہے کہ محترم شاعرؔصدیقی جیسے کہنہ مشق سخن ور کی فکر کے در یچوں میں جھانکنے کا موقع ملا اور ان کو قارئین کے سامنے لانے کی ایک کوشش کی۔
شاعرؔصدیقی کا شمار دبستان کراچی کے ممتاز و معروف شعرا میں ہوتاہے جن کا شعری سفر تقریباًسات دہائیوںپرپھیلاہواہے۔شاعرؔصدیقی کااصل نام عبدالرزاق خان ہے۔ آپ یکم فروری۱۹۳۳ء کو کلکتہ میں عبدالغفار خان کے ہاں پیدا ہوئے جو ریلوے میں ملازم تھے۔ابتدائی تعلیم کلکتہ سے حاصل کی تقسیم ہندکے وقت ہجرت کرکے مشرقی پاکستان کے شہر ڈھاکہ چلے آئے۔ اْنہوں نے شاعری کا باقاعدہ آغاز۱۹۴۹ئمیں کیا تھا جب وہ میٹرک کے طالب علم تھے۔ شاعرؔصدیقی ایک ہمہ جہت شخصیت ہیں انھوں نے اْردو شاعری میں غزل،نظم،گیت ،قطعہ،رباعی ، اور دوہا جیسے مقبول اصناف سخن پر طبع آزمائی کی ہے جس میں اْن کی فکری بلندی فنی پختگی کے ساتھ نمایاں ہے۔تحقیق کرتے وقت میرے سامنے بہت سارے موضوعات تھے لیکن شاعرؔصدیقی کے کلام کو پڑھتے ہوئے صحیح معنوں میں، مَیں نے یہ بات محسوس کی کہ گویا یہ بھی میرے دل میں تھا۔ اگرچہ یہ کام مجھ جیسے طالب علم کے لیے مشکل بھی تھا اور باعث فخربھی...

Dengue Fever: A Continuous Threat

Dengue fever is a vector borne disease and is caused by DEN Virus. This virus has four different serotypes. The vectors are two mosquitoes known as Aedesaegypti (the yellow fever mosquito) and Aedesalbopictus(the Asian tiger mosquito).  First case of dengue fever was reported back in 1994 in Karachi. A complete outbreak of this epidemic shook the whole nation in 2012. Uptill now, Lahore a city full of culture, witnessed about 16,580 confirmed cases and 257 deaths. About 5000 confirmed cases with 60 deaths were reported from the rest of the provinces. Under guidelines of WHO, Government has made efforts to combat this epidemic. Although the overall efforts have minimized the outbreak on controllable levels but dengue fever is a continuous threat. Since no permanent cure is available, the transmission of DEN virus is controlled indirectly. So the prime focus is to control mosquito population and decrease the possible hot spots i.e. Mosquito breeding sites in human habitations. Every year, the country witnesses monsoon season which brings vast areas full of clear standing waters providing breeding sites for mosquitoes which ultimately leads to increased number of patients suffering from dengue fever. Efforts have been made to fight against dengue including formation of dengue wards in hospitals, vector surveillance, community education, reactive vector control etc. A study has shown prevalence of four mosquito genera in Pakistan including Aedes, Culex, Armigeresand Anopheles. All of the above mentioned genera are associated with disease transmissions as they are the vectors of different viruses and parasites. It is the need of hour to do a collaborative effort stressing the community mobilization and management in war against dengue.

Quantification and Prediction of Atmospheric Particulate Matter Concentration Using Nonlinear Computational Techniques

The atmospheric aerosol or particulate matter (PM) is one of the major issues of urban air quality affecting human and ecosystem wellbeing across the globe. APM consists of numerous particles of different sizes, ranging from ultra-fine particles up to particles with an aerodynamic diameter up to 10μm or larger. It has been reported that particulates less than 2.5μm are more hazardous due to their ability to penetrate deeper into human lungs and enter blood which may increase respiratory and cardiovascular morbidity compared to coarse particulates whose aerodynamic size is up to 10μm. The dynamics of atmospheric particulate matter (APM) are outcome of complex natural and anthropogenic contributors evolving with time, which cannot be analyzed using conventional time and frequency domain analysis techniques. For analyzing nonlinear dynamics of APM, various computational techniques have been used by researchers during last two decades to understand the dynamics of these systems. The research reported in this dissertation focused on quantifying the nonlinear dynamics of APM (fine and coarse particulates) in ambient air and indoor environment. The atmospheric particulate matter time series concentrations were acquired using EPAM-5000 monitor from the ambient air and indoor environment in the suburb of Muzaffarabad (Azad Jammu & Kashmir, Pakistan). The time series data of the particulates was then transferred to a computer for analysis. The behaviour and variability of PM2.5 and PM10.0 in the ambient and indoor environment were investigated by performing descriptive statistical analysis. The association between indoor and ambient particulates was examined using Pearson correlation analysis and regression analysis with ordinary least square method. Nonlinear time xvi series analysis techniques were used to characterize chaotic behaviour of the time series data. To capture nonlinear dynamics, phase space was reconstructed using an appropriate time delay and embedding dimension. The largest Lyapunov exponent (LLE) was computed to determine the evidence of deterministic chaos in the ambient PM time series data. The Hurst exponent was used to explore whether or not the APM time series data show persistent behaviour. The Poincare plot descriptors were used to show the short term, long term and point to point variability of the particulates. The permutation entropy (PE) which is a reliable measure in the presence of dynamical and observational noise was used for the examining the complexity of APM. Finally, graphical user interfaces (GUI) based software product was developed via a panel of computational techniques used in the research work. The statistical analysis of PM time series data indicated enormously higher mass concentrations of particulates in the ambient and indoor environment at all the sites. The results showed that the proportion of PM2.5 contained within PM10.0 was quite high depicting that fine particulates are major contributors of atmospheric PM in the Muzaffarabad city. Due to their ability of deeper penetration into the lungs, the higher proportions of fine particulates may cause hazardous effects on the people residing along the roadside. The optimum embedding dimension of reconstructed phase space at various time delays varied from 5 to 8 and 4 to 6 for PM10.0 and PM2.5 respectively. The higher values of optimal embedding showed that the mass concentrations of both particulates have more dominant degrees of freedom, indicating dynamically complex behaviour. The results of Hurst exponent indicated that indoor particulates showed higher persistence in the indoor environment compared to ambient xvii environment. Higher Hurst exponent values indicated that predictability of particulates is higher in indoor environment, which may be attributed to the controlled metrological and environment conditions in the indoor. The largest Lyapunov exponent (LLE) was used to estimate magnitude of chaos among particulates. The positive value of LLE indicated that time series concentrations of particulates exhibit chaotic behaviour in both indoor and outdoor environment. The complexity of particulate matter time series data was quantified using permutation entropy analysis. The finding indicated time series data of indoor particulates exhibited dynamically complex patterns compared to ambient particulate matter time series data. The higher complexity of indoor particulates depicted that controlling mechanism is not perturbed by external influences. In the ambient environment various metrological factors and traffic congestion may perturb the controlling mechanism which resulted in the loss of complexity. The temporal variations explored using sensitivity analysis of Poincare plot descriptors (SD1, SD2 and CCM) revealed that CCM is more robust measure to study the temporal variations of particulates in the indoor and outdoor environment. To predict the mass concentration of particulates, linear and radial support vector regressors and random forest approaches were used. The data of consecutive ten days was used to build the prediction model, which was later on used to predict mass concentration of six consecutive hours of next day. The finding indicated that random forest approach provided better prediction with least root mean squared error (RMSE) compared to other linear and radial support vector regressors.