This second book on Unity Root Matrix Theory extends its original three-dimensional formulation, as given in the first book, to an arbitrary number of higher dimensions. Unity Root Matrix Theory is formulated with strong adherence to concepts in mathematical physics and it is thought it may provide a discrete formulation of physical phenomena at the Planck level and upward. Consequently, it is essential that the theory incorporates the geometric dimensionality present in established physical theories. In particular, it must naturally embody the four-dimensional spacetime of Special Relativity, the five dimensions of Kaluza-Klein theory, and the eleven or more dimensions of Grand Unified Theories such as String Theory. Not only has an n-dimensional extension of Unity Root Matrix Theory successfully been achieved, whilst retaining all the three-dimensional mathematical and physical properties detailed in the first book, but a complete n-dimensional solution has been obtained which exhibits the geometric property of compactification, or dimensional reduction. This solution shows that dimensional shrinkage of higher dimensions may occur over long evolutionary timescales. The emergence of compactification and other physical phenomena gives further confidence that n-dimensional Unity Root Matrix Theory may, indeed, offer a discrete formulation of Physics starting at its most elemental level.

Developed on surprisingly simple but fundamental concepts, it provides a rich mathematical and physical structure, justifying it as a subject to be studied in its own right by physicists and mathematicians alike. Ultimately, it is thought that unity root matrix theory may provide an alternative reformulation of some fundamental concepts in physics and an integer-based escape from the current, unification impasse.

One of the most common issues clients face is lack of energy, vitality or prana and this book presents a simple yet revolutionary breathing approach to restore balance. Grounded in the yogic teachings, this text introduces the Buteyko breathing method as a more contemporary way of understanding the original intention of pranayama. Through extensive research, Robin Rothenberg establishes that as with Dr. Buteyko's breath retraining technique, the ancient yogis prescribed breathing less not more. Vedic science and physiology are broken down and explained in accessible ways. The book presents a new understanding and application of breathing to address a wide range of ailments, including COPD, asthma, hay-fever, autoimmune disorders, anxiety, sleep apnoea and neurological conditions.

Recent years have witnessed a surge in the number of via ferrata routes set up in the iconic mountains of the French Alps. With routes set on or near many classics including the massifs of Mont Blanc, the Vanoise and the Queyras, this guide shows the best of what is now available. The 66 routes in this guidebook are grouped by area - Geneva and the Northern Alps, Chambery, the Tarentaise and Maurienne valleys, Grenoble and Briancon - and run the full gamut of challenge, from very easy, protected routes suitable for children, through to extremely exposed and technical routes for experienced ferrataists only. Everything you need to know to take up this exciting sport is covered here, including techniques and equipment required and glossary of specialist terminology, and all the routes are graded for difficulty, exposure and seriousness. Routes are illustrated by topo diagrams on colour photographs, and simple sketch maps. Those used to the older Italian routes will find these French routes quite different, closer to scrambling or rock climbing and often seeking out the most vertigo-inducing terrain. But most routes should be within the reach of any strong hillwalker and protection is high and well maintained."

A new edition of this acclaimed guide--updated with the most current, research-supported iRest(R) practices and insights Within you resides an ever-present self that is always whole and healthy, filled with an abiding sense of inner peace, and completely indestructible. This is your true Essence, and no matter what you've been through in the past, it is here, waiting to be recognized, embodied, and remembered. In this updated edition of his groundbreaking book Yoga Nidra, yogic scholar and clinical psychologist Dr. Richard Miller invites you to experience iRest(R)--a research-based approach to the ancient meditative art of Yoga Nidra. While Yoga Nidra is perhaps best known as a practice for deep relaxation and better sleep, at its heart lies a profound path to inner freedom. With practice, we discover that everything we need to find healing, presence, and joy is already within us. With clear instruction, new insights into the deeper roots of well-being, supplemental worksheets, and online audio practices, Miller guides you step-by-step to: - Discover life-changing practices for vibrant health, personal empowerment, and inner transformation - Enjoy complete relaxation and deep sleep--awaken refreshed and full of inspiration - Find healing from trauma, addiction, chronic pain, daily stress, and more - Explore the Vedic roots of Yoga Nidra--we are at once unique individuals and interconnected parts of a greater whole - Access the state of consciousness between waking and sleeping at will and learn to work with your subconscious mind for greater healing and insight - Awaken to your true Essence and the unshakable goodness, health, and joy already within "Wholeness, presence, and indestructible well-being exist innately within us," teaches Miller. "With Yoga Nidra, we realize that these aren't qualities to attain down the road--they are gifts to be experienced from the outset of whatever journey we're on."

This volume summarizes recent developments in our understanding of active galactic nuclei, including quasars, seyfert galaxies and radio galaxies. The predominant emphasis is put on observational results with information from essentially all wave bands, but important theoretical results are also presented. Among the contributions are discussions of the different types of active galaxies, the nature of the central engine, the wiggly structure of radio jets, the dynamics of the gas in jets, the study of millimeter and extreme ultraviolet regions, and a discussion of the observed continuum of the entire electromagnetic spectrum. The intended readers are professional astronomers and astrophysicists as well as graduate students in this field of research.

On August 2000 in the Lomonosov Moscow State University the first scientific conference dedicated to chaos in the real astronomical systems was held. The most prominent astrophysisists - specialist in the field of stochastic dynamics - attended the conference. A broad scope of the problems related to the observed manifes tations of chaotic motions in galactic and stellar objects, with the involvement of basic theory and numerical modeling, were addressed. The idea (not so obvious, as we believe, to many astrophysicists) was to show that, while great progress in the field of stochastic mechanics was accomplished, the science of chaos in actually observed systems is only just being born. Basically, the situation described prompted the organizers to hold the meeting in order to discuss chaotic processes in real systems. It seemed worthwhile to begin these introductory remarks with a brief descrip tion of some events that preceeded the conference. Since actually existing systems are the subject of the natural sciences, and in the latter experiments play the key role, we shall begin our account with the experimental results."

This book addresses a broad range of problems related to observed manifestations of chaotic motions in galactic and stellar objects, by invoking basic theory, numerical modeling, and observational evidence. For the first time, methods of stochastic dynamics are applied to actually observed astronomical objects, e.g. the gaseous disc of the spiral galaxy NGC 3631. In the latter case, the existence of chaotic trajectories in the boundary of giant vortices was recently found by the calculation of the Lyapunov characteristic number of these trajectories.

The reader will find research results on the peculiarities of chaotic system behaviour; a study of the integrals of motion in self-consistent systems; numerical modeling results of the evolution process of disk systems involving resonance excitation of the density waves in spiral galaxies; a review of specific formations in stars and high-energy sources demonstrating their stochastic nature; a discussion of the peculiarities of the precessional motion of the accretion disk and relativistic jets in the double system SS 433; etc.

This book stands out as the first one that deals with the problem of chaos in real astrophysical objects. It is intended for graduate and post-graduate students in the fields of non-linear dynamics, astrophysics, planetary and space physics; specifically for those dealing with computer modeling of the relevant processes.

A troupe of black actors perform their own "Tempest." Cesaire's rich and insightful adaptation draws on contemporary Caribbean society, the African-American experience and African mythology to raise questions about colonialism, racism and their lasting effects.

Aime Cesaire, who was born in Martinique in 1913, is one of this century's major writers. In his poetry, plays and political activities he has waged a lifelong struggle to restore dignity to colonized people. His best known work is "Return to My Native Land" first published in 1949 and his "Collected Poems" are published by the University of California Press.

Texts and translation of all Debussy's songs with valuable notes. This completely revised second edition of The Poetic Debussy contains the most recent discoveries in the composer's oeuvre, including a number of hitherto unknown songs. The texts of all Debussy's songs, both in the original French and with revised English translations on the facing page, are collected in chronological order, with notes and location of sources. In addition, Margaret Cobb has brought together a fascinating selection of Debussy's letters which have poetic refences, and has updated the notes on those twenty-six compositions based on or inspired by literary texts. This work will prove an invaluable aid to performers, scholars and students, as it contains the texts, with translations, of the full output of Debussy's songs, describes his works derived from literary sources, and includes important background material.

Friends and Other Strangers argues for expanding the field of religious ethics to address the normative dimensions of culture, interpersonal desires, friendships and family, and institutional and political relationships. Richard B. Miller urges religious ethicists to turn to cultural studies to broaden the range of the issues they address and to examine matters of cultural practice and cultural difference in critical and self-reflexive ways. Friends and Other Strangers critically discusses the ethics of ethnography; ethnocentrism, relativism, and moral criticism; empathy and the ethics of self-other attunement; indignation, empathy, and solidarity; the meaning of moral responsibility in relation to children and friends; civic virtue, war, and alterity; the normative and psychological dimensions of memory; and religion and democratic public life. Miller challenges distinctions between psyche and culture, self and other, and uses the concepts of intimacy and alterity as dialectical touchstones for examining the normative dimensions of self-other relationships. A wholly contemporary, global, and interdisciplinary work, Friends and Other Strangers illuminates aspects of moral life ethicists have otherwise overlooked.

Internationally recognized master teacher and noted tenor Richard Miller answers over 200 specific questions on voice technique and performance. In this guide to technical security, he offers professional performers, students, and teachers practical means for assisting artistic performance.

An unparalleled introduction to American folk art, accompanying a major traveling exhibition. A handsome and insightful survey of American folk art, this book includes paintings, sculptures, furniture, and household objects made by untrained--or minimally trained--folk artists in New England, the Midwest, and the South between 1800 and the 1920s. This richly illustrated volume includes rare and very fine portraits, radiant still lifes and landscapes, a mature version of The Peaceable Kingdom by Edward Hicks, playful animal sculptures and trade signs, and ornately painted German American furniture. With newly researched texts by leading scholars, this publication makes an important contribution to the field.