صحتِ انسانی اور صحت مند ماحول میں نباتات کا کردار: سائنس اوراسلامی تعلیمات کے تناظر میں ایک مطالعہ

The research paper deals with role of plants in human health and healthy environment in the context of Qur'anic verses and science. The concept of growing plants for health rather than for food or fiber is slowly changing plant biotechnology and medicine. Rediscovery of the connection between plants and health is responsible for launching a new generation of botanical therapeutics that include plant-derived pharmaceuticals, multi component botanical drugs, dietary supplements, functional foods and plant-produced recombinant proteins. Many of these products will soon complement conventional pharmaceuticals in the treatment, prevention and diagnosis of diseases, while at the same time adding value to agriculture. Holy Quran describes the importance of rain as pure water to irrigate dead soil and emergence of life (plant’s growth) from the dead soil. Plants provide foods for human beings and are necessary for healthy environment. Man is an omnivore who gets his food from both plant and animal sources. However, for immediate energy, humans rely more on plant starches and soluble sugars, including glucose and edible sugar. Generally, our normal diet consists of rice or wheat bread which is a very important source of starch.  Sugar and fats are the two most important components of food managed by plants. Apart from this, the man manages vegetables and salads from plants which are the guarantors of his health/survival in modern times. There are many reasons for diversity in plants. The obvious reason is the chemistry of that particular piece of land, what kind of minerals/salts and other nutrients that land has and what types of plants can grow there in their presence. In this research written with a descriptive and analytical approach, it is proved that according to Quran and science plants have a great role in human health and healthy environment.

Regression Based Subdivision Schemes for Noisy Data

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.