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Regression Based Subdivision Schemes for Noisy Data

Thesis Info

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Author

Muhammad Asghar

Program

PhD

Institute

The Islamia University of Bahawalpur

City

Bahawalpur

Province

Punjab

Country

Pakistan

Thesis Completing Year

2019

Thesis Completion Status

Completed

Subject

Mathemaics

Language

English

Link

http://prr.hec.gov.pk/jspui/bitstream/123456789/11493/1/Muhammad%20Asghar%20Mathematics%202019.pdf

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676727075523

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ComputerAidedGeometricDesign(CAGD)isabranchofcomputationalmathematics. It deals with the mathematical description of shapes for use in different fields. Subdivision is a basic tool to describe smooth curves and surfaces in computer aided geometric design. Since, no single subdivision scheme can be adequate for every situation, so there is always a space to present new subdivision schemes. Initially, subdivision schemes were not suitable for noisy data. So the subdivision schemes based on statistical methods are needed for the refinement of noisy data with outliers. In this thesis, the generalized algorithms for univariate, bivariate stationary and non-stationary subdivision schemes for noisy data with outliers based on regression methods are presented. The comparison with existing subdivision schemes is also presented. The subdivision schemes based on probability distribution by using the relation between Logistic regression and probability distribution are introduced. The schemes generated by the probability distribution have very good properties comparative to the existing subdivision schemes. A new type of analysis of subdivision schemes is presented by using probability distribution theory. The analysis of the families of high arity parametric stationary and non-stationary subdivision schemes is also presented in this thesis. Lane-Riesenfeld algorithm is used in different variant for the generation of binary subdivision schemes. The generalized Lane-Riesenfeld algorithms for the generation of high arity parametric stationary and non-stationary subdivision schemes are also presented.
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شبِ برات اور آتشبازی کی قبیح رسم

شب برات اور آتش بازی کی قبیح رسم
انسان کی ہمیشہ سے خواہش رہی ہے کہ کام تھوڑ ا کر نا پڑے اور اس کی مزدوری اور اُجرت زیادہ مل جائے۔ اللہ تعالیٰ نے بھی کچھ اوقات ایسے مقرر کیے ہیں کہ اس میں دین اسلام پر کار بند شخص تھوڑی سی عبادت کر کے ڈھیروں ثواب کما سکتے ہیں۔ ان اوقات میں لیلۃ القدر یعنی شب برات بھی ہے جو پندرہ شعبان المعظم کی رات ہے اور کروڑوں مسلمان اس رات میں شبِ بیدار ی کر کے اپنے پروردگار کے سامنے سر بسجدہ ہوتے ہیں اور اپنے گناہوں کی معافی کے طلبگار ہوتے ہیں۔ چنانچہ قرآن مجید میں ہے کہ:۔
’’حم قسم ہے کتاب مبین کی بیشک ہم نے اتارا ہے اسے ایک برکت والی رات میں بے شک ہم ڈر سنانے والے ہیں، اس رات ہرحکمت والا کا م بانٹ دیا جا تا ہے۔‘‘
تشریح! یہاں کتاب مبین سے مراد کلام اللہ یعنی قرآنِ مجید فرقانِ حمید ہے اگر چہ بعض مقامات پر اس سے مرادلوح محفوظ بھی ہے۔ نزولِ قرآن کی رات کی عظمت و فضیلت کو ظاہر کرنے لیے اللہ تعالیٰ نے قرآنِ مجید کی قسم ارشاد فرمائی۔ لیلۃ القدر برکتوں والی رات اس رات کے تعین میں مختلف اقوال ہیں لیکن عام طور پرد وقول زیادہ مشہور ہیں ایک تو یہ کہ اس سے مراد لیلۃ القدر ہے جو ماہ ِرمضان شریف میں آتی ہے۔ دوسرا قول یہ ہے کہ اس سے مراد شب ِبرات ہے جو شعبان المعظم کی پندرھویں رات ہے جیسا کہ تفسیر مظہری میں ہے۔ حضرت عکرمہصنے کہا کہ یہ پندرھویں شعبان کی رات ہے جس میں سال بھر کے امور لکھ دیئے جاتے ہیں جنہیں مرنا ہوتا ہے انہیں زندوں کی فہرست سے نکال دیا جاتا ہے پھر ان میں نہ زیادتی کی جاتی ہے نہ کمی۔

An Overview of the Religious Perspective of Honour Killing in Federally Administered Tribal Areas (Fata) of Pakistan

This article maps the role of religion in the prevalence and promotion of honour killing in tribal areas of Pakistan. Through simple sampling method a sample size of 377 respondents, comprising of ‘Maliks’ were selected from the study universe. The collected data was interpreted and presented at uni-variate, bi-variate and multi-variate levels. Chi-square test statistics were used to draw association between dependent variable (honour killing) and independent variable (religion) both at bi-variate and multi-variate levels. The study found a significant relationship of honour killing with the importance of religion in people lives, alienation from the religious teachings, dominance of cultural values over religion, existence of honour killing in all religious sects (Shia and Sunni), and lack of factual religious knowledge about honour killing. Moreover, a non-significant relationship of honour killing was found with permission of honour killing in Islam, and religious clerics often speak about honour killing in religious sermons. Understanding of women and their rights in light of the teachings of Islam, religious clerics need to perform their true role, and killing in either shape needs to be propagated as against the religion were presented some of the policy recommendations in lights of the study results.

Analysis of Multi-Drug Residues and Their Metabolites in Meat and Milk

Modern farming practices involve administration of a wide range of veterinary drugs and biological substances to food-producing animals with the primary aim to combat diseases and promote growth. The residues of these drugs can enter into food chain either directly or indirectly resulting in serious allergic reactions in humans, and development of drug resistance in multiple strains of bacteria as in case of antibiotics. The main focus of this research work was the development of analytical methodologies for the identification of various classes of antibiotics in broiler chicken and bovine milk using LC-MS/MS. All the developed methods were validated according to European Commission Decision 657/2002/EC and parameters determined are: specificity, accuracy, precision, repeatability, within lab reproducibility, decision limits (CCα) and detection capability (CCβ). The first method developed for the analysis of florfenicol residues in chicken muscles. It was found that most of the florfenicol residues remained bound with tissues and could only be extracted with organic solvents after digestion of the tissues with strong hydrochloric acid at 95-100 °C. The bound residues of florfenicol were present in higher concentration as compared to un-bound residues in various tissues of broiler chicken. The second method was developed for the multi-amphenicol analysis in which florfenicol, florfenicol amine, chloramphenicol and thiamphenicol were simultaneously analyzed. The accuracy values were 86.4 to 108.1% and precision values were 2.7 to 16.3%, respectively. Analysis of the various raw samples confirmed the presence of florfenicol and chloramphenicol residues in few samples at low levels. Third method involved multiclass multidrug residues, in which total 68 compounds from six antibiotic classes were analyzed. The accuracy values were 70- 102.9 % for nearly 87% compounds. The developed method can be used for screening purpose to reduce the number of samples for confirmatory analysis, thus improving the efficiency of the laboratory by reducing cost and time. Lastly, prevalence of penicillin and cephalosporin antibiotics was studied in bovine milk samples obtained from two cities of Punjab, Pakistan using UPLC-MS. Only amoxicillin, ampicillin, Pen G and cloxacillin were found and confirmed in 18 samples.