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Differential and Integral Inequalities
Theories, methods and problems in approximation theory and analytic inequalities with a focus on differential and integral inequalities are analyzed in this book. Fundamental and recent developments are presented on the inequalities of Abel, Agarwal, Beckenbach, Bessel, Cauchy–Hadamard, Chebychev, Markov, Euler’s constant, Grothendieck, Hilbert, Hardy, Carleman, Landau–Kolmogorov, Carlson, Bernstein–Mordell, Gronwall, Wirtinger, as well as inequalities of functions with their integrals and derivatives. Each inequality is discussed with proven results, examples and various applications. Graduate students and advanced research scientists in mathematical analysis will find this reference essential to their understanding of differential and integral inequalities. Engineers, economists, and physicists will find the highly applicable inequalities practical and useful to their research.
Fractional Order Analysis
A guide to the new research in the field of fractional order analysis Fractional Order Analysis contains the most recent research findings in fractional order analysis and its applications. The authors—noted experts on the topic—offer an examination of the theory, methods, applications, and the modern tools and techniques in the field of fractional order analysis. The information, tools, and applications presented can help develop mathematical methods and models with better accuracy. Comprehensive in scope, the book covers a range of topics including: new fractional operators, fractional derivatives, fractional differential equations, inequalities for different fractional derivatives and...
Technology in Mathematics Teaching
This book comprises chapters featuring a state of the art of research on digital technology in mathematics education. The chapters are extended versions of a selection of papers from the Proceedings of the 13th International Conference on Technology in Mathematics Teaching (ICTMT-13), which was held in Lyon, France, from July 3rd to 6th. ICTMT-13 gathered together over one hundred participants from twenty countries sharing research and empirical results on the topical issues of technology and its potential to improve mathematics teaching and learning. The chapters are organised into 4 themed parts, namely assessment in mathematics education and technology, which was the main focus of the con...
Collocations in a Learner Corpus
Collocations are both pervasive in language and difficult for language learners, even at an advanced level. In this book, these difficulties are for the first time comprehensively investigated. On the basis of a learner corpus, idiosyncratic collocation use by learners is uncovered, the building material of learner collocations examined, and the factors that contribute to the difficulty of certain groups of collocations identified. An extensive discussion of the implications of the results for the foreign language classroom is also presented, and the contentious issue of the relation of corpus linguistic research and language teaching is thus extended to learner corpus analysis.
Nonlinear Analysis
Contents: Fixed Point Theory and Nonlinear Problems (Th Rassias)Global Linearization Iterative Methods and Nonlinear Partial Differential Equations III (M Altman)On Generalized Power Series and Generalized Operational Calculus and Its Application (M Al-Bassam)Multiple Solutions to Parametrized Nonlinear Differential Systems from Nielsen Fixed Point Theory (R Brown)The topology of Ind-Affine Sets (P Cherenack)Almost Approximately Polynomial Functions (P Cholewa)Cohomology Classes and Foliated Manifolds (M Craioveanu & M Puta)Bifurcation and Nonlinear Instability in Applied Mathematics (L Debnath)The Stability of Weakly Additive Functional (H Drljevic)Index Theory for G-Bundle Pairs with Appli...
Recent Developments in Intelligent Computing, Communication and Devices
This book offers a collection of high-quality, peer-reviewed research papers presented at the International Conference on Intelligent Computing, Communication and Devices (ICCD 2017), discussing all dimensions of intelligent sciences – intelligent computing, intelligent communication, and intelligent devices. Intelligent computing addresses areas such as intelligent and distributed computing, intelligent grid and cloud computing, internet of things, soft computing and engineering applications, data mining and knowledge discovery, semantic and web technology, hybrid systems, agent computing, bioinformatics, and recommendation systems. Intelligent communication is concerned with communicatio...
A Grammar of Old Turkic
Old Turkic is the earliest, directly attested Turkic language. This original work describes the grammar of Old Turkic. The language is documented in inscriptions in the 'runic' script in Mongolia and the Yenisey basin, from the seventh to the tenth century; in Uygur manuscripts from Chinese Turkestan in Uygur, and in runic and other scripts (comprising religious – mostly Buddhist –, legal, literary, medical, folkloric, astrological and personal material), from the ninth to the thirteenth century; and in eleventh-century Qarakhanid texts, mostly in Arabic writing. All aspects of Old Turkic are dealt with: phonology, subphonemic phenomena and morphophonology, and the way these are reflected in the various scripts, derivational and inflectional morphology, grammatical categories, word classes, syntax, textual and extra-textual reference and other means of coherence, lexical fields, discourse types, phraseology as well as stylistic, dialect and diachronic variation.
Detection Systems in Lung Cancer and Imaging, Volume 1
This book focuses on major trends and challenges in the detection of lung cancer, presenting work aimed at identifying new techniques and their use in biomedical analysis. This volume covers recent advancements in lung cancer and imaging detection and classification, examining the main applications of Computer aided diagnosis (CAD) relating to lung cancer: lung nodule segmentation, lung nodule classification, and Big Data in lung cancer. Ideal for academics working in lung cancer, data-mining, machine learning, deep learning and reinforcement learning, as well as industry professionals working in the areas of healthcare, lung cancer imaging, machine learning, deep learning and reinforcement learning, this edited collection comprises an essential reference for researchers at the forefront of the field, and provides a high-level entry point for more advanced students. Key Features: -Unique focus on advance work in detection system and classification systems. -An updated reference for lung cancer detection via imaging. -Focus on progressive deep learning and machine learning applications for more effective detection.
Modern Methods in Collisional-Radiative Modeling of Plasmas
This book provides a compact yet comprehensive overview of recent developments in collisional-radiative (CR) modeling of laboratory and astrophysical plasmas. It describes advances across the entire field, from basic considerations of model completeness to validation and verification of CR models to calculation of plasma kinetic characteristics and spectra in diverse plasmas. Various approaches to CR modeling are presented, together with numerous examples of applications. A number of important topics, such as atomic models for CR modeling, atomic data and its availability and quality, radiation transport, non-Maxwellian effects on plasma emission, ionization potential lowering, and verification and validation of CR models, are thoroughly addressed. Strong emphasis is placed on the most recent developments in the field, such as XFEL spectroscopy. Written by leading international research scientists from a number of key laboratories, the book offers a timely summary of the most recent progress in this area. It will be a useful and practical guide for students and experienced researchers working in plasma spectroscopy, spectra simulations, and related fields.
