Browse Results

Showing 4,426 through 4,450 of 84,527 results

Amplitude Modulation of Pulsation Modes in Delta Scuti Stars (Springer Theses)

by Dominic M. Bowman

This outstanding thesis by Dominic Bowman provides a thorough investigation of long-standing questions as to whether amplitude modulation is astrophysical, whether it offers insights into pulsating stars, and whether simple beating of modes with stable amplitudes is unrecognised because of a lack of frequency resolution. In this thesis, the author studied a uniform sample of 983 delta Scuti stars—the most common type of main-sequence heat engine pulsator—that were observed nearly continuously for 4 years at stunning photometric precision of only a few parts per million by the Kepler space mission. With no mission planned to supersede the Kepler 4-year data set, this thesis will stand as the definitive study of these questions for many years. With revolutionary photometric data from the planet-hunting Kepler space mission, asteroseismic studies have been carried out on many hundreds of main-sequence solar-type stars and about 10,000 red giants. It is easy to understand why those stochastically driven stars have highly variable amplitudes. Over much of the rest of the Hertzsprung–Russell (HR) diagram, stellar pulsations are driven by heat mechanisms, which are much more regular than the stochastic driving in solar-like pulsators. Yet for decades, amplitude and frequency modulation of pulsation modes have been observed in almost all types of heat-driven pulsating stars. The author shows that the amplitude and frequency modulation are astrophysical, and he has investigated their implications and prospects to provide new insights into the delta Scuti stars and the many other types of heat-engine pulsators across the HR diagram.

Amsco's Science Grade 8

by Paul S. Cohen Anthony V. Sorrentino

Provides a clear and concise presentation of middle school science concepts. This book discusses current ideas in science taken straight from the headlines.

Amsco's Science, Grade 7

by Paul S. Cohen Anthony V. Sorrentino

Provides a clear and concise presentation of middle school science concepts.

Amyloid Fibrils and Prefibrillar Aggregates

by Daniel Erik Otzen

Summing up almost a decade of biomedical research, this topical and eagerly awaited handbook is the first reference on the topic to incorporate recent breakthroughs in amyloid research.The first part covers the structural biology of amyloid fibrils and pre-fibrillar assemblies, including a description of current models for amyloid formation. The second part looks at the diagnosis and biomedical study of amyloid in humans and in animal models, while the final section discusses pharmacological approaches to manipulating amyloid and also looks at its physiological roles in lower and higher organisms. For Biochemists, Molecular Biologists, Neurobiologists, Neurophysiologists and those working in the Pharmaceutical Industry.

Amyloid Precursor Protein: A Practical Approach

by Weiming Xia Huaxi Xu

In the search for an effective treatment for Alzheimer's disease, APP is a unique model protein that illustrates the wide array of basic and sophisticated characterization techniques available. Exploring a variety of biological techniques to clarify the structure and function of this transmembrane protein, this text presents each method with detail

Amyloid Proteins: Methods And Protocols (Methods in Molecular Biology #299)

by Einar M. Sigurdsson

A proven collection of readily reproducible techniques for studying amyloid proteins and their involvement in the etiology, pathogenesis, diagnosis, and therapy of amyloid diseases. The contributors provide methods for the preparation of amyloid and its precursors (oligomers and protofibrils), in vitro assays and analytical techniques for their study, and cell culture models and assays for the production of amyloid proteins. Additional chapters present readily reproducible techniques for amyloid extraction from tissue, its detection in vitro and in vivo, as well as nontransgenic methods for developing amyloid mouse models. The protocols follow the successful Methods in Molecular BiologyTM series format, each offering step-by-step laboratory instructions, an introduction outlining the principle behind the technique, lists of the necessary equipment and reagents, and tips on troubleshooting and avoiding known pitfalls.

Amyloid Proteins: Methods and Protocols (Methods in Molecular Biology #1779)

by Einar M. Sigurdsson María Gasset Miguel Calero

This third edition volume expands on the previous editions with many new chapters that cover the latest techniques and topics that were not addressed in the previous volumes. The chapters in this book are divided into three parts: Part One covers in vitro assays that focus on a variety of amyloids and how to study these peptides and proteins. Part Two describes cell culture models and assays, and Part Three explores methods on how to extract amyloid from tissue, its detection, and its characterization in vitro or in vivo. Written in the highly successful Methods in Molecular Biology series format, chapters include introductions to their respective topics, lists of the necessary materials and reagents, step-by-step, readily reproducible laboratory protocols, and tips on troubleshooting and avoiding known pitfalls.Cutting-edge and authoritative, Amyloid Proteins: Methods and Protocols, Third Edition is a valuable resource for both students and scientists who are new to the field, as well as experienced researchers who would like to progress their research with the latest available techniques.

Amyloid Proteins: Methods and Protocols (Methods in Molecular Biology #849)

by Einar M. Sigurdsson María Gasset Miguel Calero

Amyloid diseases are characterized by the deposition of insoluble fibrous amyloid proteins. The word "amyloid" indicates a starch-like compound, and though a misnomer, continues to be the accepted term for this group of protein conformational disorders. The second edition of Amyloid Proteins expands upon the previous edition with current, detailed protocols for the preparation of amyloid and its precursors, specific analytical methods for studying these proteins, cell culture models and assays for production of amyloid proteins, and protocols for amyloid extraction from tissue, its detection in vitro and in vivo, as well as nontransgenic methods for developing amyloid mouse models. Written in the highly successful Methods in Molecular BiologyTM series format, chapters include introductions to their respective topics, lists of the necessary materials and reagents, step-by-step, readily reproducible laboratory protocols, and key tips on troubleshooting and avoiding known pitfalls.Authoritative and practical, Amyloid Proteins, Second Edition seeks to aid scientists in the amyloid field to establish new techniques in their laboratories. Authoritative and practical, Amyloid Proteins, Second Edition seeks to aid scientists in the amyloid field to establish new techniques in their laboratories.

Amyloid and Amyloidosis

by Robert A. Kyle Gilles Grateau Martha Skinner

This authoritative volume contains 179 chapters by international experts on recent developments in our understanding of amyloid proteins, protein folding disorders, and new and proposed clinical trials in amyloidosis. Topics include detection and characterization techniques; biological functions; genetics; disorders, diagnosis, and treatments, incl

An Advanced Course in Computational Nuclear Physics: Bridging the Scales from Quarks to Neutron Stars (Lecture Notes in Physics #936)

by Morten Hjorth-Jensen Maria Paola Lombardo Ubirajara Van Kolck

This graduate-level text collects and synthesizes a series of ten lectures on the nuclear quantum many-body problem. Starting from our current understanding of the underlying forces, it presents recent advances within the field of lattice quantum chromodynamics before going on to discuss effective field theories, central many-body methods like Monte Carlo methods, coupled cluster theories, the similarity renormalization group approach, Green's function methods and large-scale diagonalization approaches. Algorithmic and computational advances show particular promise for breakthroughs in predictive power, including proper error estimates, a better understanding of the underlying effective degrees of freedom and of the respective forces at play. Enabled by recent improvements in theoretical, experimental and numerical techniques, the state-of-the art applications considered in this volume span the entire range, from our smallest components - quarks and gluons as the mediators of the strong force - to the computation of the equation of state for neutron star matter. The lectures presented provide an in-depth exposition of the underlying theoretical and algorithmic approaches as well details of the numerical implementation of the methods discussed. Several also include links to numerical software and benchmark calculations, which readers can use to develop their own programs for tackling challenging nuclear many-body problems.

An Adventurer's Guide to Number Theory (Dover Books On Mathematics Ser.)

by Richard Friedberg

In this delightful guide, a noted mathematician and teacher offers a witty, historically oriented introduction to number theory, dealing with properties of numbers and with numbers as abstract concepts. Written for readers with an understanding of arithmetic and beginning algebra, the book presents the classical discoveries of number theory, including the work of Pythagoras, Euclid, Diophantus, Fermat, Euler, Lagrange and Gauss.Unlike many authors, however, Mr. Friedberg encourages students to think about the imaginative, playful qualities of numbers as they consider such subjects as primes and divisibility, quadratic forms and residue arithmetic and quadratic reciprocity and related theorems. Moreover, the author has included a number of unusual features to challenge and stimulate students: some of the original problems in Diophantus' Arithmetica, proofs of Fermat's Last Theorem for the exponents 3and 4, and two proofs of Wilson's Theorem.Readers with a mathematical bent will enjoy and benefit from these entertaining and thought-provoking adventures in the fascinating realm of number theory. Mr. Friedberg is currently Professor of Physics at Barnard College, where he is Chairman of the Department of Physics and Astronomy.

An Agenda for Sustainable Development Research (World Sustainability Series)

by Walter Leal Filho Amanda Lange Salvia Claudio Ruy Portela de Vasconcelos

This book involves establishing a set of priorities and a roadmap that can guide scholarly and practical efforts towards sustainability goals. It encourages collaboration across disciplines to address complex sustainability issues that span social, economic, and environmental domains. It also supports the development of robust methodologies for conducting research, including quantitative, qualitative, and mixed methods approaches. But despite the importance of and the need for an agenda for sustainable development research, many efforts are isolated and thematically disconnected. Also, it is difficult to find information on how sustainability research is being undertaken and on the wide range of methods being used. Against this backdrop and in order to facilitate a broad discussion on the contribution of sustainable development research, this book is being produced. The book gathers inputs from universities and research organisations working on matters related to sustainable development research in a variety of contexts. It also provides a platform for the dissemination of information on the latest initiatives, paving the way for technology transfer and networking. Furthermore, the book intends to provide a fertile basis upon which universities, research centres, and practitioners may cooperate more closely in this key area. Last but not least, a further aim of the book is to present methodological approaches and experiences deriving from case studies and projects, which aim to show how sustainability research may be implementing across a range of disciplines. Thanks to its scope and interdisciplinarity, this books makes an excellent reading to everyone interested on sustainability research.

An Alchemical Quest for Universal Knowledge: The ‘Christian Philosophy’ of Jan Baptist Van Helmont (1579-1644) (Universal Reform: Studies in Intellectual History, 1550-1700)

by Georgiana D. Hedesan

History of science credits the Flemish physician, alchemist and philosopher Jan Baptist Van Helmont (1579-1644) for his contributions to the development of chemistry and medicine. Yet, as this book makes clear, focussing on Van Helmont's impact on modern science does not do justice to the complexity of his thought or to his influence on successive generations of intellectuals like Robert Boyle or Gottfried Leibniz. Revealing Van Helmont as an original thinker who sought to produce a post-Scholastic synthesis of religion and natural philosophy, Georgiana Hedesan reconstructs his ambitious quest for universal knowledge as it emerges from the text of the Ortus medicinae (1648). Published after Van Helmont's death by his son, the work can best be understood as a compilation of finished and unfinished treatises, the historical product of a life unsettled by religious persecution and personal misfortune. The present book provides a coherent account of Van Helmont's philosophy by analysing its main tenets. Divided into two parts, the study opens with a background to Van Helmont's concept of an alchemical Christian philosophy, demonstrating that his outlook was deeply grounded in the tradition of medical alchemy as reformed by Theophrastus von Hohenheim, called Paracelsus (1493-1541). It then reconstitutes Van Helmont's biography, while giving a historical dimension to his intellectual output. The second part reconstructs Van Helmont's Christian philosophy, investigating his views on God, nature and man, as well as his applied philosophy. Hedesan also provides an account of the development of Van Helmont's thought throughout his life. The conclusion sums up Van Helmont's intellectual achievement and highlights avenues of future research.

An Alchemy of Mind: The Marvel and Mystery of the Brain

by Diane Ackerman

The most ambitious and enlightening work to date from the bestselling author of A Natural History of the Senses, An Alchemy of Mind combines an artist's eye with a scientist's erudition to illuminate, as never before, the magic and mysteries of the human mind.Long treasured by literary readers for her uncommon ability to bridge the gap between art and science, celebrated scholar-artist Diane Ackerman returns with the book she was born to write. Her dazzling new work, An Alchemy of Mind, offers an unprecedented exploration and celebration of the mental fantasia in which we spend our days -- and does for the human mind what the bestselling A Natural History of the Senses did for the physical senses.Bringing a valuable female perspective to the topic, Diane Ackerman discusses the science of the brain as only she can: with gorgeous, immediate language and imagery that paint an unusually lucid and vibrant picture for the reader. And in addition to explaining memory, thought, emotion, dreams, and language acquisition, she reports on the latest discoveries in neuroscience and addresses controversial subjects like the effects of trauma and male versus female brains. In prose that is not simply accessible but also beautiful and electric, Ackerman distills the hard, objective truths of science in order to yield vivid, heavily anecdotal explanations about a range of existential questions regarding consciousness, human thought, memory, and the nature of identity.

An Alfred Russel Wallace Companion

by Charles H. Smith

Although Alfred Russel Wallace (1823–1913) was one of the most famous scientists in the world at the time of his death at the age of ninety, today he is known to many as a kind of “almost-Darwin,” a secondary figure relegated to the footnotes of Darwin’s prodigious insights. But this diminution could hardly be less justified. Research into the life of this brilliant naturalist and social critic continues to produce new insights into his significance to history and his role in helping to shape modern thought. Wallace declared his eight years of exploration in southeast Asia to be “the central and controlling incident” of his life. As 2019 marks one hundred and fifty years since the publication of The Malay Archipelago, Wallace’s canonical work chronicling his epic voyage, this collaborative book gathers an interdisciplinary array of writers to celebrate Wallace’s remarkable life and diverse scholarly accomplishments. Wallace left school at the age of fourteen and was largely self-taught, a voracious curiosity and appetite for learning sustaining him throughout his long life. After years as a surveyor and builder, in 1848 he left Britain to become a professional natural history collector in the Amazon, where he spent four years. Then, in 1854, he departed for the Malay Archipelago. It was on this voyage that he constructed a theory of natural selection similar to the one Charles Darwin was developing, and the two copublished papers on the subject in 1858, some sixteen months before the release of Darwin’s On the Origin of Species. But as the contributors to the Companion show, this much-discussed parallel evolution in thought was only one epoch in an extraordinary intellectual life. When Wallace returned to Britain in 1862, he commenced a career of writing on a huge range of subjects extending from evolutionary studies and biogeography to spiritualism and socialism. An Alfred Russel Wallace Companion provides something of a necessary reexamination of the full breadth of Wallace’s thought—an attempt to describe not only the history and present state of our understanding of his work, but also its implications for the future.

An Algebraic Approach to the Many-Electron Problem (SpringerBriefs in Physics)

by Jaroslav Zamastil Tereza Uhlířová

This book presents an algebraic approach to the coupled cluster method for many-electron systems, pioneered by Josef Paldus. Using field methods along with an algebraic, rather than diagrammatic, approach facilitates a way of deriving the coupled cluster method which is readily understandable at the graduate level. The book begins with the notion of the quantized electron field and shows how the N-electron Hamiltonian can be expressed in its language. This is followed by introduction of the Fermi vacuum and derivation of the Hartree-Fock equations along with conditions for stability of their solutions. Following this groundwork, the book discusses a method of configuration interaction to account for dynamical correlations between electrons, pointing out the size-extensivity problem, and showing how this problem is solved with the coupled cluster approach. This is followed by derivation of the coupled cluster equations in spin-orbital form. Finally, the book explores practical aspects, showing how one may take advantage of permutational and spin symmetries, and how to solve coupled-cluster equations, illustrated by the Hubbard model of benzene, the simplest quasi-realistic model of electron correlation.

An Amateur's Guide to Observing and Imaging the Heavens

by Ian Morison

An Amateur's Guide to Observing and Imaging the Heavens is a highly comprehensive guidebook that bridges the gap between the beginners' and hobbyists' books and the many specialised and subject-specific texts for more advanced amateur astronomers. Written by an experienced astronomer and educator, the book is a one-stop reference providing extensive information and advice about observing and imaging equipment, with detailed examples showing how best to use them. In addition to providing in-depth knowledge about every type of astronomical telescope and highlighting their strengths and weaknesses, two chapters offer advice on making visual observations of the Sun, Moon, planets, stars and galaxies. All types of modern astronomical imaging are covered, with step-by-step details given on the use of DSLRs and web-cams for solar, lunar and planetary imaging and the use of DSLRs and cooled CCD cameras for deep sky imaging.

An American Bestiary

by Jack Schaefer

In a series of leisurely and loving portraits, Jack Schaefer describes a whole ark-full of creatures great and small, who mostly live beyond the din of traffic and the glare of city lights, from the industrious pika, whose sophisticated stockpiling permits him to live in comfort on the desolate rockslides of the high Rockies, to the magnificent pronghorn, whose very appearance represents a perfection of successful adaptation. The book is packed with a thousand bits of information, much of it surely unfamiliar even to the well-read naturalist: the special conditions of a bat's pregnancy, the subterranean architecture of the gopher, the seasonal frustrations of the stolid porcupine. But more important is the overall warmth and geniality of the author's vision--one would like to call it his humanity, but, alas, at the present stage of our development "animality" seems a more appropriate word. In any case, the reader will end up a better mammal, and perhaps even a wiser and more understanding human being.

An American Gospel

by Erik Reece

From the award-winning author of Lost Mountain, a stirring work of memoir, spiritual journey, and historical inquiry. At the age of thirty-three, Erik Reece's father, a Baptist minister, took his own life, leaving Erik in the care of his grandmother and his grandfather-also a fundamentalist Baptist preacher, and a pillar of his rural Virginia community. While Erik grew up with a conflicted relationship with Christianity, he unexpectedly found comfort in the Jefferson Bible. Inspired by the text, he undertook what would become a spiritual and literary quest to identify an "American gospel" coursing through the work of both great and forgotten American geniuses, from William Byrd to Walt Whitman to William James to Lynn Margulis. The result of Reece's journey is a deeply intimate, stirring book about personal, political, and historical demons-and the geniuses we must call upon to combat them. .

An American Plague: The True and Terrifying Story of the Yellow Fever Epidemic of 1793

by Jim Murphy

National Book Award Finalist: An account of the disease that ravaged eighteenth-century Philadelphia, written and illustrated for young readers. 1793, Philadelphia: The nation&’s capital and the largest city in North America is devastated by an apparently incurable disease, cause unknown… This dramatic narrative describes the illness known as yellow fever and the toll it took on the city&’s residents, relating the epidemic to the social and political events of the day and eighteenth-century medical beliefs and practices. Drawing on first-hand accounts, Jim Murphy spotlights the heroic role of Philadelphia&’s free blacks in combating the disease, and the Constitutional crisis President Washington faced when he was forced to leave the city—and all his papers—to escape the deadly contagion. The search for the fever's causes and cure provides a suspenseful counterpoint to this riveting true story of a city under siege. Winner of multiple awards, this thoroughly researched book offers a look at the conditions of cities at the time of our nation&’s birth, and draws timely parallels to modern-day epidemics. &“A lavishly illustrated book, containing maps, newspaper columns and period illustrations…unflinchingly presents the horrors of the event as well as its heroes.&”—The New York Times &“Pair this work with Laurie Halse Anderson&’s wonderful novel Fever 1793 and you&’ll have students hooked on history.&”—School Library Journal &“History, science, politics, and public health come together in this dramatic account of the disastrous yellow fever epidemic that hit the nation&’s capital more than 200 years ago.&”—Booklist

An American Provence

by Thomas P. Huber

"I have talked about luscious wines and succulent fruit and exquisite dinners. But there may be no more evocative experience of the two valleys than the smell of new-mown hay in the fields at dusk. If a person were to close their eyes, they could not tell if they were in Provence or the North Fork Valley. That sweet, earthy odor is part of the beauty of these places." -From An American Provence In this poetic personal narrative, Thomas P. Huber reflects on two seemingly unrelated places-the North Fork Valley in western Colorado and the Coulon River Valley in Provence, France-and finds a shared landscape and sense of place. What began as a simple comparison of two like places in distant locations turned into a more complex, interesting, and personal task. Much is similar-the light, the valleys, the climate, the agriculture. And much is less so-the history, the geology, the physical makeup of villages. Using a geographer's eye and passion for the land and people, Huber examines the regions' similarities and differences to explore the common emotional impact of each region. Part intimate travelogue and part case study of geography in the real world, An American Provence illuminates the importance sense of place plays in who we are.

An Analytical Mechanics Framework for Flow-Oscillator Modeling of Vortex-Induced Bluff-Body Oscillations (Solid Mechanics and Its Applications #260)

by Haym Benaroya Sohrob Mottaghi Rene Gabbai

This self-contained book provides an introduction to the flow-oscillator modeling of vortex-induced bluff-body oscillations. One of the great challenges in engineering science also happens to be one of engineering design – the modeling, analysis and design of vibrating structures driven by fluid motion. The literature on fluid–structure interaction is vast, and it can be said to comprise a large fraction of all papers published in the mechanical sciences. This book focuses on the vortex-induced oscillations of an immersed body, since, although the importance of the subject has long been known, it is only during the past fifty years that there have been concerted efforts to analytically model the general behavior of the coupling between vortex shedding and structural oscillations. At the same time, experimentalists have been gathering data on such interactions in order to help define the various regimes of behavior. This data is critical to our understanding and to those who develop analytical models, as can be seen in this book. The fundamental bases for the modeling developed in this book are the variational principles of analytical dynamics, in particular Hamilton’s principle and Jourdain’s principle, considered great intellectual achievements on par with Newton’s laws of motion. Variational principles have been applied in numerous disciplines, including dynamics, optics and quantum mechanics. Here, we apply variational principles to the development of a framework for the modeling of flow-oscillator models of vortex-induced oscillations.

An Anatomy of Pain: How the Body and the Mind Experience and Endure Physical Suffering

by Dr. Abdul-Ghaaliq Lalkhen

An illuminating, authoritative, and in-depth examination of the fascinating science behind pain and the complexities of its treatment—from one of the internationally leading doctors in pain management.Pain is a universal human experience, but we understand very little about the mechanics behind it. We hurt ourselves, we feel pain, we seek help from a professional or learn to avoid certain behaviors that cause pain. But the story of what goes on in our body is far from simple. Even medical practitioners themselves often fail to grasp the complexities between our minds and bodies and how they interact when dealing with pain stimulus. Throughout history we&’ve tried to prevent and mediate the effects of pain—which has only resulted in a highly medicated population and a booming opiates industry. Written by a medical expert trained as an anesthesiologist, An Anatomy of Pain is the first book to clearly explain the current issues and complexities surrounding the treatment of pain and how society deals with those in pain, as well as how our bodies relate to pain. Common conception still equates pain with tissue damage but that is only a very small part of the story—the organ which produces pain is the brain. Case studies show that a woman who has undergone a c-section reports dramatically less pain than a patient who has had kidney stones removed in a similarly invasive operation. The soldier who drags himself or herself to safety after being shot deals with pain in a remarkably different way from someone suffering a similar injury on a street. The truth is that pain is a complex mix of nerve endings, psychological state, social preconceptions, and situational awareness. Filled with case studies and medical history, this enlightening book offers a crash course in all aspects of pain, from chronic to acute, and walks us through the current landscape of pain treatments—from medication (including opioids) to electrical nerve stimulation. Whether it&’s a mild ache or severe discomfort, we all encounter pain in our lives and this important and illuminating book allows us to master the art of caring and coping with an experience that for so many can become all-consuming.

An Animal a Day: 365 Amazing Animals to Take You Through the Year

by Miranda Smith

Discover a fascinating new animal for every day of the year! The perfect gift for animal lovers aged 6 and up.New day, new animal!In this gorgeous calendarized collection, you'll travel through the incredible ecosystems and habitats of our wild planet and meet 365 of the amazing animals that call it home.Dive into the oceans to find whales and giant squid, soar though skies with eagles and snowy owls, race across the African savanna with lions and wildebeest—and so much more. Each day&’s entry is filled with fascinating facts and breathtaking illustrations that bring animals to life. You'll encounter familiar favorites, plus find out new sides to critters you thought you already knew and learn about completely new animals.Packed with engaging info, this book also features information about conservation and how we can protect endangered animals and their environments.It's the ultimate gift for any animal lover, from age 6 to 106!

An Anthology of Exquisite Birds (DK Children's Anthologies)

by Ben Hoare

Soar through the sky with best-selling author Ben Hoare and discover some of the most exquisite birds on our planet.From the miniature bee hummingbird that flaps its wings 200 times a second, to the oilbird that navigates pitch-black caves using echolocation, this stunning collection showcases more than 90 of the world's most extraordinary birds. Detailed photography is paired with storybook descriptions that will captivate young readers, whether it's finding out about condors and cuckoos or swans and starlings. Features on eggs, feathers, nests, and other key topics explore the enormous variety of avian adaptations. There is also a visual index packed with reference information, including the size and range of each species.With foil on the cover, gilded edges, and a ribbon for keeping your place, An Anthology of Exquisite Birds makes a beautiful gift for any child who is fascinated by birds. It's ideal for young readers to explore by themselves or perfect for bedtime stories.

Refine Search

Showing 4,426 through 4,450 of 84,527 results