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Author: Nabil H. Mustafa Publisher: American Mathematical Society ISBN: 1470461560 Category : Mathematics Languages : en Pages : 251
Book Description
Understanding the behavior of basic sampling techniques and intrinsic geometric attributes of data is an invaluable skill that is in high demand for both graduate students and researchers in mathematics, machine learning, and theoretical computer science. The last ten years have seen significant progress in this area, with many open problems having been resolved during this time. These include optimal lower bounds for epsilon-nets for many geometric set systems, the use of shallow-cell complexity to unify proofs, simpler and more efficient algorithms, and the use of epsilon-approximations for construction of coresets, to name a few. This book presents a thorough treatment of these probabilistic, combinatorial, and geometric methods, as well as their combinatorial and algorithmic applications. It also revisits classical results, but with new and more elegant proofs. While mathematical maturity will certainly help in appreciating the ideas presented here, only a basic familiarity with discrete mathematics, probability, and combinatorics is required to understand the material.
Author: Nabil H. Mustafa Publisher: American Mathematical Society ISBN: 1470461560 Category : Mathematics Languages : en Pages : 251
Book Description
Understanding the behavior of basic sampling techniques and intrinsic geometric attributes of data is an invaluable skill that is in high demand for both graduate students and researchers in mathematics, machine learning, and theoretical computer science. The last ten years have seen significant progress in this area, with many open problems having been resolved during this time. These include optimal lower bounds for epsilon-nets for many geometric set systems, the use of shallow-cell complexity to unify proofs, simpler and more efficient algorithms, and the use of epsilon-approximations for construction of coresets, to name a few. This book presents a thorough treatment of these probabilistic, combinatorial, and geometric methods, as well as their combinatorial and algorithmic applications. It also revisits classical results, but with new and more elegant proofs. While mathematical maturity will certainly help in appreciating the ideas presented here, only a basic familiarity with discrete mathematics, probability, and combinatorics is required to understand the material.
Author: Michael Drmota Publisher: Springer Science & Business Media ISBN: 3211753575 Category : Mathematics Languages : en Pages : 466
Book Description
The aim of this book is to provide a thorough introduction to various aspects of trees in random settings and a systematic treatment of the mathematical analysis techniques involved. It should serve as a reference book as well as a basis for future research.
Author: Philippe Flajolet Publisher: Cambridge University Press ISBN: 1139477161 Category : Mathematics Languages : en Pages : 825
Book Description
Analytic combinatorics aims to enable precise quantitative predictions of the properties of large combinatorial structures. The theory has emerged over recent decades as essential both for the analysis of algorithms and for the study of scientific models in many disciplines, including probability theory, statistical physics, computational biology, and information theory. With a careful combination of symbolic enumeration methods and complex analysis, drawing heavily on generating functions, results of sweeping generality emerge that can be applied in particular to fundamental structures such as permutations, sequences, strings, walks, paths, trees, graphs and maps. This account is the definitive treatment of the topic. The authors give full coverage of the underlying mathematics and a thorough treatment of both classical and modern applications of the theory. The text is complemented with exercises, examples, appendices and notes to aid understanding. The book can be used for an advanced undergraduate or a graduate course, or for self-study.
Author: James Anthony Chambers Publisher: Independently Published ISBN: Category : History Languages : en Pages : 0
Book Description
Embark on a captivating journey through the vibrant landscapes, rich cultural heritage, and hidden treasures of Mauritius with our text-only guidebook, "Best of Mauritius ". Immerse yourself in the allure of this island gem as you explore its blissful beaches, majestic mountains, enchanting waterfalls, and vibrant markets. Trace the legacy of Mauritius through its historic landmarks, indulge in its culinary delights, and dive into its marine paradise to uncover underwater wonders. Venture off the beaten path to discover hidden gems, tropical gardens, and immersive cultural experiences. Encounter the unique fauna of Mauritius, indulge in luxury resorts, and trek through scenic trails, finding serenity in spiritual sanctuaries along the way. From adrenaline-pumping adventure sports to romantic retreats and eco-tourism experiences, there's something for every traveler within the pages of our guidebook. Join us as we unveil the geological marvels of Mauritius's volcanic landscapes, witness nature's miracles while turtle watching, and set sail on seaplane excursions to witness the island's splendour from above. "Best of Mauritius" is your ultimate companion for exploring this paradise island. So, pack your bags, leave the distractions behind, and let the pages of this book transport you to the idyllic shores of Mauritius. Your adventure awaits!
Author: Dhishna Publisher: Strategic Book Publishing ISBN: 162516159X Category : Fiction Languages : en Pages : 45
Book Description
Cleopatre Lamaure, born on the first day of August, 1978 in a small town in Mauritius, was often compared to Cleopatra of Egypt, not only because of her name but because of their striking similarities in wit, courage, sweetness of voice, and above all, astounding beauty. At thirty-one, it seemed that she bore more burdens than should have been expected at that age. In spite of the many hardships in her life, the atrocities that crushed her soul and caged her dreams, she gathered all her might to defeat all challenges, heroically. What was it that kept her moving? Was it hope? Was it faith in herself or was it for someone else's sake? Learn all about this remarkable woman in the stunning novel Obstinacy: The Dauntless Chase. Born in Mauritius, Dhishna has been a secondary school teacher in various schools across the island. She is currently an executive assistant in a prestigious company in Dubai, where she moved in 2005. Since then, Dubai and its people have taken a fundamental place in her life and heart. Writing is her passion and she has been writing since the age of fifteen. This is her first book and she is currently working on a collection of short stories. "Every being has a story to tell and I had a story to be told, a story that I hope will inspire my readers." Publisher's website: http: //sbpra.com/Dhishna"
Author: Soodursun Jugessur Publisher: Allied Publishers ISBN: 8184248423 Category : Family & Relationships Languages : en Pages : 204
Book Description
The book 'Value Crisis' analyses how a lack of basic moral education starting in the family, with adequate parental responsibility, has led to a world where violence and social evils affect peace and harmony. The family as a cell of the society is the nursery for values that can sustain a development that is in harmony with nature, and where the spirit of trust and sharing is primordial. Modern development has stressed too much on materialist living where greed and exploitation have led to multiple crises. The book highlights how universal values can be brought back in our lives.
Author: Ashok Kumar Aubeeluck Publisher: New Generation Publishing ISBN: 9781847481948 Category : Fiction Languages : en Pages : 328
Book Description
When Dr Davindra Tulsiram is excluded from his traditional family for his marriage to his beautiful Iranian bride, Fariba, his trials and tribulations are only just beginning. Davindra's actions go on to ensure huge changes to his life as he seeks success on his own terms and freedom from the stultifying, restrictive traditions of his family's past. At the same time, echoing his personal turmoil, Davindra and his new acquaintances are fighting the stale political system, bringing about huge social change and battling the incumbent power-brokers in an attempt to bring their beloved homeland into line with the feelings of the people - trying with all their might to make things better for Mauritius. This novel, written with a hand that is both sure and light defies easy definition. It is a political epic, a story of enduring love, a family saga and a gripping murder mystery, all set against the backdrop of the emergence of a nation with a previously untapped economic might and a people hungry for better lives.
Author: Nabil H. Mustafa
Author: Nabil H. Mustafa
Author: Michael Drmota
Author: Philippe Flajolet
Author: James Anthony Chambers
Author: Dhishna
Author: Soodursun Jugessur
Author: Marie-Lourdes Lam Hung
Author: Ashok Kumar Aubeeluck
Author: Monique Dinan
Author: Shakuntala Hawoldar