Function

The extensive and ground-breaking work of Dr. Jacquelin Perry is encompassed and detailed in the world renowned text, Gait Analysis: Normal and Pathological Function. The medical, healthcare, and reha

The existence and functioning of intrinsically disordered proteins (IDPs) challenge the classical structure-function paradigm that equates function with a well-defined 3D structure. Uncovering the dis

Despite its significance in the reproductive cycle of flowering plants, and its importance in helping to interpret plant evolution, the stamen, and its fertile, pollen-bearing part, the anther, have received relatively little scientific attention. To help begin to address this shortcoming the contributions in this volume, first published in 1996, give an indication of the kinds of studies now being undertaken with a view to stimulating further work on this neglected plant organ. Traditional and contemporary concepts of stamen construction, terminology and function are summarised, and an extensive bibliography gives access to relevant literature. Evidence for the evolution of the anther is drawn from the fossil record and from studies of its growth and structure, and the dynamics of stamen evolution is detailed for several families.

First published in 1987 this book looks at root development and functions. Besides affecting the development of roots directly, the physical environment also influences the organisms associated with roots and thus affects their function. The papers presented in this volume pay equal attention to root development and root function in relation to the whole range of environmental factors including temperature, light, water, aeration, gravity and the mechanical strength of the soil. Consideration is also given to the effects of some of these factors on mycorrhizae and nitrogen-fixing bacteria. The final chapter reviews some of the main themes raised in the volume and indicates the way that research at the cellular and tissue levels may progress in the future.

This text offers background in function theory, Hardy functions, and probability as preparation for surveys of Gaussian processes, strings and spectral functions, and strings and spaces of integral fu

The Riemann zeta function is one of the most studied objects in mathematics, and is of fundamental importance. In this book, based on his own research, Professor Motohashi shows that the function is closely bound with automorphic forms and that many results from there can be woven with techniques and ideas from analytic number theory to yield new insights into, and views of, the zeta function itself. The story starts with an elementary but unabridged treatment of the spectral resolution of the non-Euclidean Laplacian and the trace formulas. This is achieved by the use of standard tools from analysis rather than any heavy machinery, forging a substantial aid for beginners in spectral theory as well. These ideas are then utilized to unveil an image of the zeta-function, first perceived by the author, revealing it to be the main gem of a necklace composed of all automorphic L-functions. In this book, readers will find a detailed account of one of the most fascinating stories in the develo

Suitable for upper-level undergraduates and graduate students, this treatment of complex analysis focuses on function theory on a finitely connected planar domain. Clear and complete, it emphasizes do

The Structure and Function of Plastids provides a comprehensive look at the biology of plastids, the multifunctional biosynthetic factories that are unique to plants and algae. Fifty-nine internationa

Shaping Primate Evolution is an edited collection of papers about how biological form is described in primate biology, and the consequences of form for function and behavior. The contributors are highly regarded internationally recognized scholars in the field of quantitative primate evolutionary morphology. Each chapter elaborates upon the analysis of the form-function-behavior triad in a unique and compelling way. This book is distinctive not only in the diversity of the topics discussed, but also in the range of levels of biological organization that are addressed from cellular morphometrics to the evolution of primate ecology. The book is dedicated to Charles E. Oxnard, whose influential pioneering work on innovative metric and analytic techniques has gone hand-in-hand with meticulous comparative functional analyses of primate anatomy. Through the marriage of theory with analytical applications, this volume will be an important reference work for all those interested in primate fun

Skeletal Muscle Mechanics: From Mechanisms to Function summarises the variety of approaches used by today's scientist to understand muscle function and the mechanisms of contraction. This book contain

An ideal text for an advanced course in the theory of complex functions, this book leads readers to experience function theory personally and to participate in the work of the creative mathematician.

From the reviews:"The book...is a thorough and very readable introduction to the arithmetic of function fields of one variable over a finite field, by an author who has made fundamental contributions

The Riemann zeta function is one of the most studied objects in mathematics, and is of fundamental importance. In this book, based on his own research, Professor Motohashi shows that the function is closely bound with automorphic forms and that many results from there can be woven with techniques and ideas from analytic number theory to yield new insights into, and views of, the zeta function itself. The story starts with an elementary but unabridged treatment of the spectral resolution of the non-Euclidean Laplacian and the trace formulas. This is achieved by the use of standard tools from analysis rather than any heavy machinery, forging a substantial aid for beginners in spectral theory as well. These ideas are then utilized to unveil an image of the zeta-function, first perceived by the author, revealing it to be the main gem of a necklace composed of all automorphic L-functions. In this book, readers will find a detailed account of one of the most fascinating stories in the develo

Traditional concepts of God are no longer tenable for many people who nevertheless experience a strong sense of the sacred in their lives. The Religious Function of the Psyche offers a psychological m

The study of composition operators links some of the most basic questions you can ask about linear operators with beautiful classical results from analytic-function theory. The process invests old the

The Riemann zeta-function embodies both additive and multiplicative structures in a single function, making it our most important tool in the study of prime numbers. This volume studies all aspects of

Diophantine equations over number fields have formed one of the most important and fruitful areas of mathematics throughout civilisation. In recent years increasing interest has been aroused in the analogous area of equations over function fields. However, although considerable progress has been made by previous authors, none has attempted the central problem of providing methods for the actual solution of such equations. The latter is the purpose and achievement of this volume: algorithms are provided for the complete resolution of various families of equations, such as those of Thue, hyperelliptic and genus one type. The results are achieved by means of an original fundamental inequality, first announced by the author in 1982. Several specific examples are included as illustrations of the general method and as a testimony to its efficiency. Furthermore, bounds are obtained on the solutions which improve on those obtained previously by other means. Extending the equality to a differen

This concise monograph explores how core ideas in Hardy space function theory and operator theory continue to be useful and informative in new settings, leading to new insights for noncommutative multivariable operator theory. Beginning with a review of the confluence of system theory ideas and reproducing kernel techniques, the book then covers representations of backward-shift-invariant subspaces in the Hardy space as ranges of observability operators, and representations for forward-shift-invariant subspaces via a Beurling–Lax representer equal to the transfer function of the linear system. This pair of backward-shift-invariant and forward-shift-invariant subspace form a generalized orthogonal decomposition of the ambient Hardy space. All this leads to the de Branges–Rovnyak model theory and characteristic operator function for a Hilbert space contraction operator. The chapters that follow generalize the system theory and reproducing kernel techniques to enable an extension of the i