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Lie Groups : An Approach through Invariants and Representations
Lie groups has been an increasing area of focus and rich research since the middle of the 20th century. Procesi's masterful approach to Lie groups through invariants and representations gives the reader a comprehensive treatment of the classical groups along with an extensive introduction to a wide range of topics associated with Lie groups: symmetric functions, theory of algebraic forms, Lie algebras, tensor algebra and symmetry, semisimple Lie algebras, algebraic groups, group representations, invariants, Hilbert theory, and binary forms with fields ranging from pure algebra to functional analysis.
Liapunov Functions and Stability in Control Theory
Presents a modern and self-contained treatment of the Liapunov method for stability analysis, in the framework of mathematical nonlinear control theory. A Particular focus is on the problem of the existence of Liapunov functions (converse Liapunov theorems) and their regularity, whose interest is especially motivated by applications to automatic control.
Les fonctions sphinctériennes = Sphincter functions
This book on Sphincter functions provides an update on a very topical subject, urinary and anal incontinence. Divided into three parts, it first deals with fundamental aspects, whether anatomical, physiological or clinical. The explorations of the various urinary and anorectal functions are described with electrophysiological, manometric, urodynamic tests as well as imaging. The second part is devoted to the pathology with all the dysfunctions that we encounter in daily practice. Urinary and anal incontinence, dysuria and retention, neurological sphincter disorders, dysfunctions in pregnant women and children are discussed. The last part takes stock of treatments, whether pharmacological, rehabilitative or surgical. This work, which contains a considerable amount of information, will undoubtedly be of interest to many medical specialists (physicians in physical medicine and rehabilitation, neurologists, gastroenterologists, gynecologists, general practitioners, pediatricians), surgeons (urologists, gynecological surgeons, surgeons). digestive) whether they are in training or already involved in the management of perineal disability. Other health professionals will find reference material there (nurses, physiotherapists, midwives).
Les douleurs abdominales en questions : Rôle physiopathologique de la sensibilité viscérale = Abdominal pain in question : The pathophysiological role of visceral sensitivity
The gut-brain axis refers to the network of nerve pathways that connect the myenteric plexus, the veritable "gut brain," to the central nervous system. Nearly 80% of these neurons are sensory neurons, and the afferent pathways that transmit information from the digestive tract to the central nervous system play a crucial role in the physiological regulation of digestive functions, as well as in certain pathological conditions. A large majority of these sensations remain unconscious and give rise to reflex responses. Only those requiring a conscious response reach the level of awareness in a normal state (hunger, thirst, the urge to defecate). In pathological situations, the same is true for painful sensations of digestive origin. Functional bowel disorders are a frequent reason for consultation. Their pathophysiology is now based on a model integrating the various etiological factors around the brain-gut axis. These patients frequently present with visceral hypersensitivity, which manifests as an increased perception of digestive sensations, notably the onset of pain in response to stimuli that are not painful in normal subjects. Recognizing the role of visceral hypersensitivity has made it possible to explain the mechanism of action of medications used to treat functional bowel disorders and paves the way for the development of new molecules acting on digestive afferents. In this book, we will describe the anatomical and physiological basis for understanding the concept of visceral sensitivity and the role of digestive afferents in the pathophysiology of acute and chronic abdominal pain, particularly irritable bowel syndrome.
Lectins
In the intervening years well over 10,000 articles have appeared with lectins as the main subject, and more than twice as many in which they were touched upon, as well as around 20 books. In particular, great strides have been made in several areas of lectin research, about which little was known until the late 1980s. One prominent example is animal lectins, many of which have been discovered only during the last decade and the functions of several of which have been clarified, especially as to their key role in innate immunity.
Le forme spastiche della paralisi cerebrale infantile : Guida all'esplorazione delle funzioni adattive = Spastic forms of cerebral palsy : A guide to exploring adaptive functions
Offers "travel notes" on the topics covered, to spark reflection and comparisons with the readers' experience. The authors address the topics from a pathophysiological perspective that guides their interpretation of the nature of the defect (functional diagnosis), the problems related to prognosis (as a natural history hypothesis), and rehabilitation (as a modification of the architecture of the function in an adaptive sense).The text is accompanied by an extensive glossary of terms used and a DVD with clinical cases, organized according to the authors' classification. This material also highlights the volume's great educational value, both for those already working in this field (physicians, child neuropsychiatrists and physiatrists, rehabilitation therapists) and for students completing their first and second level degrees in rehabilitation and attending postgraduate schools.
Laplacian Eigenvectors of Graphs : Perron-Frobenius and Faber-Krahn Type Theorems
Eigenvectors of graph Laplacians have not, to date, been the subject of expository articles and thus they may seem a surprising topic for a book. The authors propose two motivations for this new LNM volume: (1) There are fascinating subtle differences between the properties of solutions of Schrödinger equations on manifolds on the one hand, and their discrete analogs on graphs. (2) "Geometric" properties of (cost) functions defined on the vertex sets of graphs are of practical interest for heuristic optimization algorithms. The observation that the cost functions of quite a few of the well-studied combinatorial optimization problems are eigenvectors of associated graph Laplacians has prompted the investigation of such eigenvectors.
Language in our brain : The origins of a uniquely human capacity
Friederici describes the basic language functions and their brain basis; the language networks connecting different language-related brain regions; the brain basis of language acquisition during early childhood and when learning a second language, proposing a neurocognitive model of the ontogeny of language; and the evolution of language and underlying neural constraints. She finds that it is the information exchange between the relevant brain regions, supported by the white matter tract, that is the crucial factor in both language development and evolution.
Lactic acid bacteria : Methods and protocols
This updated volume presents experimentation-based approaches to lactic acid bacteria (LAB) research. Split into three parts, the book explores techniques for analyzing lactic acid bacteria metabolism and characteristics, applications for food-related industries, such as yogurt production, beer, and wine making, and functions of LAB in human health. Written for the highly successful Methods in Molecular Biology series, chapters include introduction to their respective topic, lists of the necessary materials and reagents, step-by-step and readily reproducible laboratory protocols, and tips on troubleshooting and avoiding known pitfalls.
Lacroix and the Calculus
Lacroix and the Calculus is the first major study of Lacroix’s large Traité. It uses the unique and massive bibliography given by Lacroix to explore late 18th-century calculus, and the way it is reflected in Lacroix’s account. Several particular aspects are addressed in detail, including: the foundations of differential calculus, analytic and differential geometry, conceptions of the integral, and types of solutions of differential equations (singular/complete/general integrals, geometrical interpretations, and generality of arbitrary functions).
La disprassia in età evolutiva : Criteri di valutazione ed intervento = Dyspraxia in developmental age : Evaluation criteria and intervention
As clinical and rehabilitation practice shows, children with dyspraxia are unable to plan and organize an action plan; they cannot control what they are doing during an action; therefore, they cannot do something, but we could also admit that they cannot yet do something; that is, they have not yet learned to perform functions. Functions and actions, however, can be learned and performed with the help of targeted exercises performed consistently. It is, however, essential to recognize the difficulties children with dyspraxia face when faced with new, unusual tasks. The author proposes an assessment and intervention model that takes into account etiological and neuropsychological hypotheses, emphasizing the need to proceed with an analysis on multiple levels: perceptual, motor, and representational. Particular importance is given to early diagnosis and intervention to define and implement appropriate treatment plans. The work concludes with the analysis and description of clinical cases related to some specific forms of dyspraxia: verbal dyspraxia and dysgraphia.
L’insuffisance rénale aiguë = Acute renal failure
The aim of this book is to make current data from the experimental and clinical literature accessible to readers. More than a thousand articles are published each year on the theme and the authors aim to synthesize this information. These data relate in particular to the identification of early markers of renal dysfunction without which screening, recognition of the main pathophysiological determinants and prevention remain uncertain. This book focuses attention on clinical situations characterized by the renal impact of the main dysfunctions of vital functions, the prognosis of which is worsened by the occurrence of this renal failure. The following will be treated in particular: the renal consequences of oxidative stress, the renal consequences of respiratory dysfunction, cardiac dysfunction, hepatic dysfunction, alterations in hemostasis, septic shock and hemorrhagic shock. Finally, the physiopathological data from experimental models are gradually finding their echo in the clinical field, opening up therapeutic avenues whose recent evaluations will be analyzed.
L’esprit de l’aiguille : L’apport du Yi Jing à la pratique de l’acupuncture = The Spirit of the Needle: The contribution of the Yi Jing to the practice of acupuncture
Acupuncture deciphers and heals human beings in all their mutations. The symbolism of Yi Jing joins the humanism of this Traditional Medicine for a dynamic reading of the changes and transformations at work in human beings. The double reflection generates a global vision of the human being and the approach to patients is changed. After an approach to the state of mind, encountered in these two fields, the author sets out to find the oldest roots of the notions of Yin and Yang. This allows him to identify the main strengths of the constitution of a human being and to deepen its symbolic construction. Three fields of application of this approach are then studied. The Extraordinary Meridians are viewed from a descriptive and behavioral perspective, which makes them extremely lively and familiar. Luo points, human being's relationship points with Reality, are also considered on a practical level using a symbolic reading of the links of Heaven, Earth and Man. Many examples shed light on these aspects. The last application is a detailed and comprehensive presentation of the fundamental and symbolic functions of the twelve main meridians through the hexagrams which correspond to their ancient Shu points. This original book is intended for any practitioner of traditional Chinese medicine curious to broaden their field of investigation. Dr M. Vinogradoff has been practicing acupuncture for 25 years. He is a member of the French Acupuncture Association, the French Acupuncture College and the Ricci Institute. After having published the complete translation of Yi Jing, in 2006 he published a novel, the action of which is set in Ancient China.
Kratochvil's Fundamentals of Removable Partial Dentures
Provides an overview of the RPD design philosophy developed by Prof F. J. Kratochvil. His'RPI system'—a clasp assembly consisting of a rest, a proximal plate, and an I-bar retainer—changed how clinicians approach partial denture design. Topics in this book include RPD components and functions, design sequences for maxillary and mandibular RPDs, and techniques for surveying and determining the most advantageous treatment position. The authors provide illustrations of clinical cases throughout the book as well as an illustrated glossary of prosthodontic terminology. This book will prepare students and general practitioners to design and fabricate a biomechanically sound RPD framework for just about any dental configuration they encounter.
Knowledge and Action
Explores interdependencies between knowledge, action, and space from different interdisciplinary perspectives. Some of the contributors discuss knowledge as a social construct based on collective action, while others look at knowledge as an individual capacity for action. The chapters contain theoretical frameworks as well as experimental outcomes.
Complexity Theory and Cryptology : An Introduction to Cryptocomplexity
Modern cryptology employs mathematically rigorous concepts and methods from complexity theory. Conversely, current research in complexity theory often is motivated by questions and problems arising in cryptology. This book takes account of this trend, and therefore its subject is what may be dubbed "cryptocomplexity,'' some sort of symbiosis of these two areas. This textbook is suitable for undergraduate and graduate students of computer science, mathematics, and engineering, and can be used for courses on complexity theory and cryptology, preferably by stressing their interrelation. Starting from scratch, it is an accessible introduction to cryptocomplexity and works its way to the frontiers of current research. It provides the necessary mathematical background, has numerous figures, exercises, and examples, and presents some central, up-to-date research topics and challenges. Due to its comprehensive bibliography and subject index, it is also a valuable source for researchers, teachers, and practitioners working in these fields.
Complex Scheduling
This book deals with such complex scheduling problems and methods to solve them. It consists of three parts: The ?rst part (Chapters 1 and 2) contains a description of basic scheduling models with applications and an introduction into discrete optimization (covering complexity, shortest path algorithms, linear programming, network ?ow algorithms and general optimization methods). In the second part (Chapter 3) resource-constrained project scheduling problems are considered. Especially, methods like constraint propagation, branch-a- bound algorithms and heuristic procedures are described. Furthermore, lower bounds and general objective functions are discussed.
Complex Intracellular Structures in Prokaryotes
The new series "Microbiology Monographs" begins with two volumes on intracellular components in prokaryotes. In this second volume, "Complex Intracellular Structures in Prokaryotes", the components, labeled complex intracellular structures, encompass a multitude of important cellular functions. Continuing and newly initiated research will provide a clearer understanding of the complex intracellular structures known at present and will bring to light surprising new ones as well.
Complex Analysis with Applications to Number Theory
The book discusses major topics in complex analysis with applications to number theory.It 's including the theory of several finitely and infinitely complex variables, hyperbolic geometry, two- and three-manifolds, and number theory. In addition to solved examples and problems, the book covers most topics of current interest, such as Cauchy theorems, Picard’s theorems, Riemann–Zeta function, Dirichlet theorem, Gamma function, and harmonic functions.
Complex Analysis : In the Spirit of Lipman Bers
In this book, the main focus is the theory of complex-valued functions of a single complex variable. This theory is a prerequisite for the study of many current and rapidly developing areas of mathematics including the theory of several and infinitely many complex variables, the theory of groups, hyperbolic geometry and three-manifolds, and number theory.
