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Beyond the Worst-Case Analysis of Algorithms
Introduces exciting new methods for assessing algorithms for problems ranging from clustering to linear programming to neural networks.
Bioethics in Law
This groundbreaking volume is the first to analyze how and to what extent bioethics considerations influence today's judges. Previous books have attended to the law that governs bioethics problems, but this is the first to examine when and how bioethical issues impact judicial reasoning and decision-making. The volume examines the cutting-edge of the relationship of bioethics to law, and explores how law receives, assesses, and uses bioethics.
Engineering Mathematics and Artificial Intelligence
Explains the theory behind Machine Learning and highlights how Mathematics can be used in Artificial Intelligence Illustrates how to improve existing algorithms by using advanced mathematics and discusses how Machine Learning can support mathematical modeling Captures how to simulate data by means of artificial neural networks and offers cutting-edge Artificial Intelligence technologies Emphasizes the classification of algorithms, optimization methods, and statistical techniques Explores future integration between Machine Learning and complex mathematical techniques
Quantum Computing and Information
Unlock the Potential of Quantum Computing This expertly crafted guide demystifies the complexities of quantum computing through a progressive teaching method, making it accessible to students and newcomers alike. Features Explores quantum systems, gates and circuits, entanglement, algorithms, and more. Unique 'scaffolding approach' for easy understanding. Ideal for educators, students, and self-learners. Authors Dr. Peter Y. Lee (Ph.D., Princeton University) – Expert in quantum nanostructures, extensive teaching experience. Dr. Huiwen Ji (Ph.D., Princeton University) – Solid background in quantum chemistry, award-winning researcher. Dr. Ran Cheng (Ph.D., University of Texas at Austin) – Specializes in condensed matter theory, award-winning physicist.
Analytic Number Theory
This volume contains a collection of research and survey papers written by some of the most eminent mathematicians in the international community and is dedicated to Helmut Maier, whose own research has been groundbreaking and deeply influential to the field. Specific emphasis is given to topics regarding exponential and trigonometric sums and their behavior in short intervals, anatomy of integers and cyclotomic polynomials, small gaps in sequences of sifted prime numbers, oscillation theorems for primes in arithmetic progressions, inequalities related to the distribution of primes in short intervals, the Möbius function, Euler’s totient function, the Riemann zeta function and the Riemann...
The Kitan Language and Script
The Kitans established the Liao dynasty in northern China, which lasted for over two centuries (916-1125). In this survey the reader will find what is currently known about the Kitan language and scripts. The language was very likely distantly related to Mongolian, with two quite different scripts in use. A few generations after their state was defeated, almost all trace of the Kitan spoken and written languages disappeared, except a few words in Chinese texts. Over the past few decades, however, inscriptions from the tombs of the Liao emperors and the Kitan aristocracy have been at least partially deciphered, resulting in a significant increase of our knowledge of the Kitan lexicon, morphology and syntax.
