Dynamic programming is an efficient technique for solving optimization problems. It is based on breaking the initial problem down into simpler ones and solving these sub-problems, beginning with the simplest ones. A conventional dynamic programming algorithm returns an optimal object from a given set of objects. This book develops extensions of dynamic programming, enabling us to (i) describe the set of objects under consideration; (ii) perform a multi-stage optimization of objects relative to different criteria; (iii) count the number of optimal objects; (iv) find the set of Pareto optimal points for bi-criteria optimization problems; and (v) to study relationships between two criteria. It considers various applications, including optimization of decision trees and decision rule systems as algorithms for problem solving, as ways for knowledge representation, and as classifiers; optimization of element partition trees for rectangular meshes, which are used in finite element methods for solving PDEs; and multi-stage optimization for such classic combinatorial optimization problems as matrix chain multiplication, binary search trees, global sequence alignment, and shortest paths. The results presented are useful for researchers in combinatorial optimization, data mining, knowledge discovery, machine learning, and finite element methods, especially those working in rough set theory, test theory, logical analysis of data, and PDE solvers. This book can be used as the basis for graduate courses.
During the First World War, Cemal Pasha attempted to establish direct control over Syrian and thereby reaffirm Ottoman authority there through various policies of control, including the abolishment of local intermediaries. Elaborating on these Ottoman policies of control, this book assesses Cemal Pasha’s policies towards different political groups in Syrian society, including; Arabists, Zionists, Christian clergymen and Armenian immigrants. The author then goes on to analyse Pasha’s educational activities, the conscription of Syrians- both Muslim and Christian, and the reconstruction of the major Syrian cities, assessing how these policies contributed to his attempt to create ideal Ottoman citizens. An important addition to existing literature on the social and political history of World War I, and contributing a new understanding of Ottoman Syria, and its transformation into a nation-state, this book will be of interest to students and scholars with an interest in state formation, Politics and History.
I’ve always wanted to share my knowledge in whatever way I could. And I’ve decided to embark on that journey with ‘Iqraa’. I’ve taken an unusual approach to the book. It is essentially a book in which information has been sourced and compiled. So, I contributed about 30-40% of the information in the book, while the remaining 60% came from various sources such as the internet, social media platforms. It is with immense joy and gratitude that I announce Series 2 of “IQRAA-KNOWLEDGE SHARING Ver 2.0” The Pearl of Wisdom. This Book is not just an idea of my efforts; it's a reminder of the responsibility we all should carry to inspire and empower others in acquiring knowledge and Sharing with others. I promise to use this book as my platform to advocate for positive change, diversity, and inclusivity. Together, we can create a more Knowledgeable world. Iqraa is a physical manifestation of my need to share knowledge, specifically the kind that is spiritual in nature. I believe that whatever I know of Islamic knowledge and tradition should be useful and be shared with everyone.
Dynamic programming is an efficient technique for solving optimization problems. It is based on breaking the initial problem down into simpler ones and solving these sub-problems, beginning with the simplest ones. A conventional dynamic programming algorithm returns an optimal object from a given set of objects. This book develops extensions of dynamic programming, enabling us to (i) describe the set of objects under consideration; (ii) perform a multi-stage optimization of objects relative to different criteria; (iii) count the number of optimal objects; (iv) find the set of Pareto optimal points for bi-criteria optimization problems; and (v) to study relationships between two criteria. It considers various applications, including optimization of decision trees and decision rule systems as algorithms for problem solving, as ways for knowledge representation, and as classifiers; optimization of element partition trees for rectangular meshes, which are used in finite element methods for solving PDEs; and multi-stage optimization for such classic combinatorial optimization problems as matrix chain multiplication, binary search trees, global sequence alignment, and shortest paths. The results presented are useful for researchers in combinatorial optimization, data mining, knowledge discovery, machine learning, and finite element methods, especially those working in rough set theory, test theory, logical analysis of data, and PDE solvers. This book can be used as the basis for graduate courses.
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