الصفحة 1
الصفحة 1
On the Topology of Isolated Singularities in Analytic Spaces
The aim of this book is to give an overview of selected topics on the topology of real and complex isolated singularities, with emphasis on its relations to other branches of geometry and topology. The first chapters are mostly devoted to complex singularities and a myriad of results spread in a vast literature, which are presented here in a unified way, accessible to non-specialists. Among the topics are the fibration theorems of Milnor; the relation with 3-dimensional Lie groups; exotic spheres; spin structures and 3-manifold invariants; the geometry of quadrics and Arnold's theorem which states that the complex projective plane modulo conjugation is the 4-sphere. The second part of the book studies pioneer work about real analytic singularities which arise from the topological and geometric study of holomorphic vector fields and foliations. In the low dimensional case these turn out to be related to fibred links in the 3-sphere defined by meromorphic functions. This provides new methods for constructing manifolds equipped with a rich geometry.
Omega 3 and Omega 6 and its relationship to obesity
This research summarizes information about omega-3 and omega-6. In recent times, there has been growing recognition of the key role of foods and beverages in disease prevention and treatment. Thus, the production and consumption of functional foods has gained much importance as they provide a health benefit beyond the basic nutritional functions. At present, PUFA (poly unsaturated fatty acids) as Omega-3 [(n-3)] fatty acids and Omega -6 [(n-6)] fatty acid have been linked to healthy aging throughout life. Recently, omega-3 fatty acids EPA (eicosapentaenoic acid ) and DHA (docosahexaenoic acid ) have been associated with cardiovascular function, and Alzheimer’s disease.
Nutraceuticals for the treatment and prevention of sexual disorders
Covers diverse aspects of sexual dysfunctions and the role of nutraceutical therapeutics, applying both traditional knoweldge and modern evidence-based research. The new book focuses on the use of nutraceuticals on sexual disorders, highlighting the working solutions as well as open problems and future challenges in the use of nutraceuticals in sexual disorder research. Disucssing state-of-the-art developments and trends in this field, the book covers the use of antioxidants in stress-induced male infertility, the role of nutraceuticals in prostate cancer, male sex hormone disturbances, and the impact of nutraceuticals on male accessory organs. The book also addresses the use of nutraceuticals on female sexual disorders and remedial measures in treating breast cancer, cervical complications, pregnancy health and disorders, menstrual disturbances, female sex hormones, female infertility, and prevention of vaginal infections. The book also covers the use of nutraceuticals to combat general sexual disorders such as urinogenital complications, geriatric sexual functions, traditional nutraceuticals use for sexual disorders, the use of nutritional spices for sexual disorders, and the role of nutraceuticals on transgendered individuals.
Numerical Methods for Controlled Stochastic Delay Systems
The Markov chain approximation methods are widely used for the numerical solution of nonlinear stochastic control problems in continuous time. This book extends the methods to stochastic systems with delays. Because such problems are infinite-dimensional, many new issues arise in getting good numerical approximations and in the convergence proofs. Useful forms of numerical algorithms and system approximations are developed in this work, and the convergence proofs are given. All of the usual cost functions are treated as well as singular and impulsive controls. A major concern is on representations and approximations that use minimal memory.
Number theory in science and communication : With applications in cryptography, physics, digital information, computing, and self-similarity
"Number Theory in Science and Communication" is a well-known introduction for non-mathematicians to this fascinating and useful branch of applied mathematics . It stresses intuitive understanding rather than abstract theory and highlights important concepts such as continued fractions, the golden ratio, quadratic residues and Chinese remainders, trapdoor functions, pseudoprimes and primitive elements. Their applications to problems in the real world are one of the main themes of the book. This revised fourth edition is augmented by recent advances in primes in progressions, twin primes, prime triplets, prime quadruplets and quintruplets, factoring with elliptic curves, quantum factoring, Golomb rulers and "baroque" integers.
Number Theory ; Vol.15 : Tradition and Modernization
This book appears varied, they are unified by two underlying principles:first, making everything readable as a book, and second, making a smooth transition from traditional approaches to modern ones by providing a rich array of examples. The chapters are presented in quite different in depth and cover a variety of descriptive details.The book emphasizes a few common features such as functional equations for various zeta-functions, modular forms, congruence conditions, exponential sums, and algorithmic aspects.
Number Theory : An Introduction via the Distribution of Primes
This book provides an introduction and overview of number theory based on the distribution and properties of primes. This unique approach provides both a firm background in the standard material as well as an overview of the whole discipline. All the essential topics are covered: fundamental theorem of arithmetic, theory of congruences, quadratic reciprocity, arithmetic functions, and the distribution of primes.
Nucleic Acids and Proteins in Soil
With millions of different bacterial species living in soil, the microbial community is extremely complex, varying at very small scales. Microbe-driven functions are essential for most processes in soil. Thus, a better understanding of this microbial diversity will be invaluable for the management of the various soil functions. Nucleic Acids and Proteins in Soil combines traditional approaches in soil microbiology and biochemistry with the latest techniques in molecular microbial ecology. Included are methods to analyse the presence and importance of nucleic acids and proteins both inside and outside microbial cells, the horizontal gene transfer which drives bacterial diversity, as well as soil proteomes. Further chapters describe techniques such as PCR, fingerprinting, the challenging use of gene arrays for structural and functional analysis, stable isotope probing to identify in situ metabolic functions, and the use of marker and reporter genes in soil microbial ecology.
NPY Family of Peptides in Neurobiology, Cardiovascular and Metabolic Disorders : from Genes to Therapeutics
The NPY-family of peptides encompasses several groups of neurotransmitters and hormones, which exert diverse biological and pathological actions that bear on all major vital systems. This book is a unique compilation of the most recent breakthroughs in NPY/PYY neurobiology, cardiovascular and metabolic disorders. The identification of multiple receptors for the members of the NPY and PYY family of peptides provides new opportunities for discovery of specific NPY antagonists and agonists that have vast clinical potential. The recognition of the role of NPY in stimulation of food intake has already resulted in discovery of potent and selective NPY receptor Y-5 antagonists, which are in clinical development for obesity. NPY Y1 receptor antagonists are targeted for cardiovascular indications. Research into the multiple functions of NPY and its receptors in neurological and affective disorders is also actively pursued. The chapters in this book are written by internationally renowned experts with the objective to synthesize leading concepts and data in support for translational medicine.
Notions of Convexity
The first two chapters of this book are devoted to convexity in the classical sense, for functions of one and several real variables respectively. This gives a background for the study in the following chapters of related notions which occur in the theory of linear partial differential equations and complex analysis such as (pluri-)subharmonic functions, pseudoconvex sets, and sets which are convex for supports or singular supports with respect to a differential operator. In addition, the convexity conditions which are relevant for local or global existence of holomorphic differential equations are discussed, leading up to Trépreau’s theorem on sufficiency of condition (capital Greek letter Psi) for microlocal solvability in the analytic category.
Nonsmooth Vector Functions and Continuous Optimization
A recent significant innovation in mathematical sciences has been the progressive use of nonsmooth calculus, an extension of the differential calculus, as a key tool of modern analysis in many areas of mathematics, operations research, and engineering. Focusing on the study of nonsmooth vector functions, this book presents a comprehensive account of the calculus of generalized Jacobian matrices and their applications to continuous nonsmooth optimization problems and variational inequalities in finite dimensions.
Nonsmooth Analysis
The book treats various concepts of generalized derivatives and subdifferentials in normed spaces, their geometric counterparts (tangent and normal cones) and their application to optimization problems. It starts with the subdifferential of convex analysis, passes to corresponding concepts for locally Lipschitz continuous functions and finally presents subdifferentials for general lower semicontinuous functions. All basic tools are presented where they are needed; this concerns separation theorems, variational and extremal principles as well as relevant parts of multifunction theory. The presentation is rigorous, with detailed proofs. Each chapter ends with bibliographic notes and exercises.
Nonlinear Fokker-Planck Equations : Fundamentals and Applications
Providing an introduction to the theory of nonlinear Fokker-Planck equations, this book discusses fundamental properties of transient and stationary solutions, emphasizing the stability analysis of stationary solutions by means of self-consistency equations, linear stability analysis, and Lyapunov's direct method. Also treated are Langevin equations and correlation functions. Nonlinear Fokker-Planck Equations addresses various phenomena such as phase transitions, multistability of systems, synchronization, anomalous diffusion, cut-off solutions, travelling-wave solutions and the emergence of power law solutions. A nonlinear Fokker-Planck perspective to quantum statistics, generalized thermodynamics, and linear nonequilibrium thermodynamics is given. Theoretical concepts are illustrated where possible by simple examples. The book also reviews several applications in the fields of condensed matter physics, the physics of porous media and liquid crystals, accelerator physics, neurophysics, social sciences, population dynamics, and computational physics.
Noncommutative Geometry and Number Theory : Where Arithmetic meets Geometry and Physics
This volume collects and presents up-to-date research topics in arithmetic and noncommutative geometry and ideas from physics that point to possible new connections between the fields of number theory, algebraic geometry and noncommutative geometry. The articles collected in this volume present new noncommutative geometry perspectives on classical topics of number theory and arithmetic such as modular forms, class field theory, the theory of reductive p-adic groups, Shimura varieties, the local Lfactors of arithmetic varieties. They also show how arithmetic appears naturally in noncommutative geometry and in physics, in the residues of Feynman graphs, in the properties of noncommutative tori, and in the quantum Hall effect.
Nicotinic Acetylcholine Receptor Signaling in Neuroprotection
Presents the roles and mechanisms of signal transduction triggered by nicotinic acetylcholine receptors (nAChRs) stimulation in neuroprotection against toxic effects of risk factors of neurodegenerative diseases. Accumulating evidence suggests that nAChRs in the CNS play important roles not only in excitatory neurotransmission but also in neuronal survival and related functions. Neuroprotection mediated by nAChRs in neurodegenerative diseases such as Alzheimer's disease is the major topic of this book. In response to rapidly evolving areas in clinical and laboratory neuropharmacology and neurochemistry, this volume provides in-depth coverage of neuroprotection in basic research and future developments in the clinical application of effective neuroprotective strategies in neurodegenerative diseases. This work appeals to both basic and clinical researchers in several fields, such as neuroscience, neurology, and pharmacology.
New Trends in Soil Micromorphology
The soil water retention curve, the saturated hydraulic conductivity and the unsaturated hydraulic conductivity function are basic soil hydraulic functions and parameters. Ample apprehension of the soil hydraulic functions and parameters is required for a successful formulation of the principles leading to sustainable soil management, agricultural production and environmental protection. From these, all the other parameters, required in the solution of the practical tasks, are derived.
New Stream Cipher Designs : The eSTREAM Finalists
The goal of eSTREAM was to promote the design of new stream ciphers with a particular emphasis on algorithms that would be either very fast in software or very resource-efficient in hardware. Algorithm designers were invited to submit new stream cipher proposals to eSTREAM, and 34 candidates were proposed from around the world. Over the following years the submissions were assessed with regard to both security and practicality by the cryptographic community, and the results were presented at major conferences and specialized workshops dedicated to the state of the art of stream ciphers.
New Perspectives on Aloe
The contents include a brief introduction of aloe, isolation, purification, and structural analysis of components, and various physiological effects of those components for possible use as health foods or drugs. Various functions identified were wound healing, angiogenesis, anti-allergy, skin whitening, stimulation of cell proliferation such as liver or kidney, protection against nephrotoxicity, and immune modulation. Moreover, we suggest standardization and quality control procedures for manufacturing raw aloe, and how to develop related products for successful application of aloe. This is important in Korea because last year the Korean government listed aloe as a health food for which the government establishes regulatory laws. Therefore, many scientists in Korea who are interested in studying health foods would be interested in this kind of text. Other major fields related to this kind of research will be medicine, biology, pharmaceutics, natural products and analytics.
Neutrophil : Methods and Protocols
Neutrophils, the most abundant white cells in humans, serve as the primary cellular defense against infection. This volume provides a concise set of protocols for assessing basic neutrophil functions and investigating specialized areas in neutrophil biology. Each of the protocols is written by leading researchers in the field and includes hints for success, as well as guidance for troubleshooting. Part I contains overviews of neutrophil biology, function, and disorders. Part II describes commonly used methods to isolate neutrophils from humans and other animal species. Part III details methods for investigating chemotaxis, transmigration, phagocytosis, and bactericidal activity. Part IV includes protocols that measure neutrophil apoptosis, calcium signal transduction, degranulation and detection of cytoplasmic granules, gene expression, transcription factors, and apoptosis. Part V provides multiple assays for measuring production of intracellular and/or extracellular reactive oxygen species, and a method that details use of the cell-free NADPH oxidase assay, an iconic assay for studies of the neutrophil NADPH oxidase. Part VI provides chapters that describe how to analyze formation and function of neutrophil extracellular traps.
Neuroscribe = نيوروسكرايب
Neuroscribe is a cutting-edge deep learning framework designed to address the complexities and inefficiencies encountered in existing frameworks like PyTorch and TensorFlow. Aimed at streamlining model development and enhancing performance across diverse hardware environments, NeuroScribe offers a lightweight and flexible solution. The framework features a robust tensor library, an auto-differentiation engine, a comprehensive neural network module, and advanced optimization algorithms. With built-in visualization tools and a user-friendly interface, NeuroScribe simplifies both beginner and advanced workflows. Its cross-platform compatibility, supported by CUDA and Metal Performance Shaders (MPS), ensures optimal performance, and in some scenarios, NeuroScribe demonstrates superior speed compared to leading frameworks. Additionally, NeuroScribe introduces unique libraries and features not found in other frameworks, further enhancing its versatility and appeal. The modular architecture and automatic system detection further enhance its adaptability, making NeuroScribe a versatile and powerful tool for deep learning practitioners.
