This volume is the focal point of the work undertaken in the previous volumes of this set of books: the statement of the fundamental principle of the dynamics whose implementation, according to two paths whose choice depends on the problem to be treated, leads to equations of motion. In order to achieve this, it is treated first of all in the context of solids in their environment, as a prerequisite for the formulation of the fundamental principle. Then, in addition to its use in some exercises, the approach is illustrated by three particular cases. The first is an example where it is developed end-to-end and addresses the two approaches that lead to the equations of motion. The two other examples deal with two classical but important subjects, the movement of the Earth according to the hypotheses that can be stated about it, and Foucault's pendulum.

'Borel was the sun,' said Theophile Gautier, 'who could resist him?' Indeed, who? A lycanthrope, necrophile, absurd revolutionary, Paris dandy with a scented beard, flamboyant sufferer: a man with no grave and no memorial. His once celebrated red mouth opened briefly 'like an exotic flower' to complain of injustice and bourgeois vulgarity; of his frustration in love and reputation; of poverty and blighted fate. Then he withered in the minor officialdom of Algeria, where he died because he would not wear a hat, leaving a haunted house and a doubtful name. 'And now,' says his only biographer Dame Enid Starkie, 'he is quite forgotten.' Rhapsodies 1831 includes all the poems Borel wrote when he was twenty and twenty-one. The poems, he said, are 'the slag from my crucible': 'the poetry that boils in my heart has slung its dross'. It is a fabulous, fiery, black-clouded dross: captains and cutlasses, castles, maidens, daggers, danger; calls to arms, imagined loves, plaints and howls of injustice. 'Never did a publication create a greater scandal,' Borel said, 'because it was a book written heart and soul, with no thought of anything else, and stuffed with gall and suffering'. It was not reviewed. Now it is back.

This book will help you: Recognize what information to fact-check Identify the quality and ranking of source materials Learn to fact-check a variety of media types: newspaper; magazine; social media; public and commercial radio and television, books, films, etc. Navigate relationships with editors, writers, and producers Recognize plagiarism and fabrication Discern conflicting facts, gray areas, and litigious materials Learn record keeping best practices for tracking sources Test your own fact-checking skills An accessible, one-stop guide to the why, what, and how of contemporary editorial fact-checking.   Over the past few years, fact-checking has been widely touted as a corrective to the spread of misinformation, disinformation, conspiracy theories, and propaganda through the media. “If journalism is a cornerstone of democracy,� says author Brooke Borel, “then fact-checking is its building inspector.�   In The Chicago Guide to Fact-Checking, Borel, an experienced fact-checker, draws on the expertise of more than 200 writers, editors, and fellow checkers representing the New Yorker, Popular Science, This American Life, Vogue, and many other outlets. She covers best practices for editorial fact-checking in a variety of media—from magazine and news articles, both print and online, to books and podcasts—and the perspectives of both in-house and freelance checkers.   In this second edition, Borel covers the evolving media landscape, with new guidance on checking audio and video sources, polling data, and sensitive subjects such as trauma and abuse. The sections on working with writers, editors, and producers have been expanded, and new material includes fresh exercises and advice on getting fact-checking gigs. Borel also addresses the challenges of fact-checking in a world where social media, artificial intelligence, and the metaverse may make it increasingly difficult for everyone—including fact-checkers—to identify false information. The answer, she says, is for everyone to approach information with skepticism—to learn to think like a fact-checker.    The Chicago Guide to Fact-Checking is the practical—and thoroughly vetted—guide that writers, editors, and publishers continue to consult to maintain their credibility and solidify their readers’ trust.  

This volume provides protocols that expand on the latest alpha-1-antitrypsin (AAT) research. The chapters in this book are divided in to three sections: Part I is dedicated to patient-oriented research; part II discusses animal models; and Part III focuses on in vitro studies. 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, Alpha-1 Antitrypsin Deficiency: Methods and Protocols is a valuable resource for researchers, students, and clinican-scientists interested in AAT deficiency, as well as anyone working in the fields of pulmonology and hepatology.

Armand Borel's mathematical work centered on the theory of Lie groups. Because of the increasingly important place of this theory in the whole of mathematics, Borel's work influenced some of the most important developments of contemporary mathematics. His first great achievement was to apply to Lie groups and homogenous spaces the powerful techniques of algebraic topology developed by Leray, Cartan, and Steenrod. In 1992, Borel was awarded the International Balzan Prize for Mathematics "for his fundamental contributions to the theory of Lie groups, algebraic groups and arithmetic groups, and for his indefatigable action in favor of high quality in mathematical research and of the propagation of new ideas." He wrote more than 145 articles before 1982, which were collected in three volumes published in 1983. A fourth volume of subsequent articles was published in 2001. Volume I collects the papers written from 1948 to 1958.

Armand Borel's mathematical work centered on the theory of Lie groups. Because of the increasingly important place of this theory in the whole of mathematics, Borel's work influenced some of the most important developments of contemporary mathematics. His first great achievement was to apply to Lie groups and homogenous spaces the powerful techniques of algebraic topology developed by Leray, Cartan and Steenrod. In 1992, Borel was awarded the International Balzan Prize for Mathematics "for his fundamental contributions to the theory of Lie groups, algebraic groups and arithmetic groups and for his indefatigable action in favor of high quality in mathematical research and of the propagation of new ideas." He wrote more than 145 articles before 1982, which were collected in three volumes published in 1983. A fourth volume of subsequent articles was published in 2001. Volume III collects the papers written from 1969 to 1982.

Armand Borel's mathematical work centered on the theory of Lie groups. Because of the increasingly important place of this theory in the whole of mathematics, Borel's work influenced some of the most important developments of contemporary mathematics. His first great achievement was to apply to Lie groups and homogenous spaces the powerful techniques of algebraic topology developed by Leray, Cartan and Steenrod. In 1992, Borel was awarded the International Balzan Prize for Mathematics "for his fundamental contributions to the theory of Lie groups, algebraic groups and arithmetic groups, and for his indefatigable action in favor of high quality in mathematical research and of the propagation of new ideas." He wrote more than 145 articles before 1982, which were collected in three volumes published in 1983. A fourth volume of subsequent articles was published in 2001. Volume II collects the papers written from 1959 to 1968.

This international technology assessment study has focused on the emerging global trend toward the miniaturization of manufacturing processes, equipment and systems for microscale components and products. The study has investigated both the state-of-the-art as well as emerging technologies from the scientific, technological, and commercialization perspectives across key industrial sectors in the USA, Asia and Europe.

Jean Leray (1906-1998) was one of the great French mathematicians of his century. His life's workcan be dividedinto 3 major areas, reflected in these 3 volumes. Volume I, to which an Introduction has been contributed by A. Borel, covers Leray's seminal work in algebraic topology, where he created sheaf theory and discovered the spectral sequences. Volume II, with an introduction by P. Lax, covers fluid mechanics and partial differential equations. Leray demonstrated the existence of the infinite-time extension of weak solutions of the Navier-Stokes equations; 60 years later this profound work has retained all its impact. Volume III, on the theory of several complex variables, has a long introduction by G. Henkin. Leray's work on the ramified Cauchy problem will stand for centuries alongside the Cauchy-Kovalevska theorem for the unramified case.

He was awarded the Malaxa Prize (1938), the Grand Prix in Mathematical Sciences (1940), the Feltrinelli Prize (1971), the Wolf Prize in Mathematics (1979), and the Lomonosov Gold Medal (1988)."

Solid Freeform Fabrication is a set of manufacturing processes that are capable of producing complex freeform solid objects directly from a computer model of an object without part-specific tooling or knowledge. In essence, these methods are miniature manufacturing plants which come complete with material handling, information processing and materials processing. As such, these methods require technical knowledge from many disciplines; therefore, researchers, engineers, and students in Mechanical, Chemical, Electrical, and Manufacturing Engineering and Materials and Computer Science will all find some interest in this subject. Particular subareas of concern include manufacturing methods, polymer chemistry, computational geometry, control, heat transfer, metallurgy, ceramics, optics, and fluid mechanics. History of technology specialists may also find Chapter 1 of interest. Although this book covers the spectrum of different processes, the emphasis is clearly on the area in which the authors have the most experience, thermal laser processing. In particular, the authors have all been developers and inventors of techniques for the Selective Laser Sintering process and laser gas phase techniques (Selective Area Laser Deposition). This is a research book on the subject of Solid Freeform Fabrication.

This revised, enlarged edition of Linear Algebraic Groups (1969) starts by presenting foundational material on algebraic groups, Lie algebras, transformation spaces, and quotient spaces. It then turns to solvable groups, general properties of linear algebraic groups, and Chevally's structure theory of reductive groups over algebraically closed groundfields. It closes with a focus on rationality questions over non-algebraically closed fields.

This volume contains the proceedings of a Symposium held in honor of Emmy Noether's lOOth birthday which was sponsored by the Association for Women in Mathematics, and held at Bryn Mawr College on March 17, 18 and 19, 1982. It was fitting that the Symposium be held at Bryn Mawr, where Noether held her last position. Indeed, the lectures were held in Goodhart Hall, where the famous Memorial Address was delivered by Hermann Weyl on April 29, 1935. The Association for Women in Mathematics is honored to have sponsored this event, which was judged by many of those attending to have been not only scien- tifically successful but a specially moving occasion. There were nine scientific lectures by Nathan Jacobson, Richard Swan, Judith Sally, David Mumford, Michele Vergne, Olga Taussky-Todd, Karen Uhlenbeck, Walter Feit, and Armand Borel. There was also a panel discussion on "Emmy Noether in Erlangen, Gottingen, and Bryn Mawr" in which Gottfried Noether, Olga Taussky-Todd, Grace Quinn, Ruth McKee, and Marguerite Lehr par- ticipated. The last four were at Bryn Mawr during Emmy Noether's time and presented their personal reminiscences of her. Gottfried Noether is a nephew of Emmy Noether and gave an account of her life and career in Germany.

Technical communication instructors need professional development opportunities that will aid them in creating their online courses; in developing curricula; and in teaching in what may be a new environment. Although instructors can turn to instructional design teams for assistance in using Learning Management System and its functions, they specifically need their own first-hand, immersive learning within their pedagogical training. In other words, teachers need to learn in an online context like the environment that their students will use; such direct training helps instructors to facilitate student learning in a technologically distributed classroom. Beyond learning technological skills to facilitate a course, these teachers need to learn to use the technology effectively to keep students on track and to teach them skills and material. This collection-which includes three contributions from 2007 and 10 from 2017-focuses on the types of professional development instructors need to be successful in the online technical communication classroom. Formed as a 10-year retrospective of the field and its advances in online education professional development, the book offers instructors theoretical and practical suggestions for creating and teaching successful online courses and managing entire online technical communication programs. This book was originally published as a special issue of Technical Communication Quarterly (TCQ).

This book is a publication in Swiss Seminars, a subseries of Progress in Mathematics. It is an expanded version of the notes from a seminar on intersection cohomology theory, which met at the University of Bern, Switzerland, in the spring of 1983. This volume supplies an introduction to the piecewise linear and sheaf-theoretic versions of that theory as developed by M. Goresky and R. MacPherson in Topology 19 (1980), and in Inventiones Mathematicae 72 (1983). While some familiarity with algebraic topology and sheaf theory is assumed, the notes include a self-contained account of further material on constructibility, derived categories, Verdier duality, biduality, and on stratified spaces, which is used in the second paper but not found in standard texts. The volume should be useful to someone interested in acquiring some basic knowledge about the field... a Mathematical Reviews

This international technology assessment study has focused on the emerging global trend toward the miniaturization of manufacturing processes, equipment and systems for microscale components and products, i.e., Small Equipment for Small Parts. It encompasses the creation of miniaturized units or hybrid processes integrated with metrology, material handling and assembly to create microfactories capable of producing microprecision products in a fully automated manner at low cost.The study has investigated both the state-of-the-art as well as emerging technologies from the scientific, technological, and commercialization perspectives across key industrial sectors in the U.S., Asia and Europe including medical, electronics, aerospace, and consumer products.

The set of books on Mechanical Engineering and Solid Mechanics, of which this book is the first volume, is an essential tool for those looking to develop a rigorous knowledge of the discipline, whether students, professionals (in search of an approach to a problem they are dealing with), or anyone else interested. This volume deals with the elements required for establishing the equations of motion when dealing with solid bodies. Chapter 1 focuses on the systems of reference used to locate solid bodies relative to the observer, and demonstrates how to describe their position, orientation, and evolution during their motion. Chapter 2 introduces descriptors of motion such as velocity and acceleration, and develops the concept of torsor notation in relation to these descriptors. Finally, Chapter 3 concerns the notions of mass and inertia, as well as the kinetic torsor and dynamic torsor which consolidate the kinematic and kinetic aspects in a single concept.

Noncompact symmetric and locally symmetric spaces naturally appear in many mathematical theories, including analysis (representation theory, nonabelian harmonic analysis), number theory (automorphic forms), algebraic geometry (modulae) and algebraic topology (cohomology of discrete groups). In most applications, it is necessary to form an appropriate compactification of the space. The literature dealing with such compactifications is vast. The main purpose of this book is to introduce uniform constructions of most of the known compactifications with emphasis on their geometric and topological structures. The book is divided into three parts. Part I studies compactifications of Riemannian symmetric spaces and their arithmetic quotients. Part II is a study of compact smooth manifolds. Part III studies the compactification of locally symmetric spaces. Familiarity with the theory of semisimple Lie groups is assumed, as is familiarity with algebraic groups defined over the rational numbers in later parts of the book, although most of the pertinent material is recalled as presented. and research mathematicians interested in the applications of Lie theory and representation theory to diverse fields of mathematics.

The formalism processing of unbuckled solids mechanics involves several mathematical tools which are to be mastered at the same time. This volume collects the main points which take place in the course of the formalism, so that the user immediately finds what he needs without looking for it. Furthermore, the book contains a methodological formulary to guide the user in his approach.

Technical communication instructors need professional development opportunities that will aid them in creating their online courses; in developing curricula; and in teaching in what may be a new environment. Although instructors can turn to instructional design teams for assistance in using Learning Management System and its functions, they specifically need their own first-hand, immersive learning within their pedagogical training. In other words, teachers need to learn in an online context like the environment that their students will use; such direct training helps instructors to facilitate student learning in a technologically distributed classroom. Beyond learning technological skills to facilitate a course, these teachers need to learn to use the technology effectively to keep students on track and to teach them skills and material. This collection-which includes three contributions from 2007 and 10 from 2017-focuses on the types of professional development instructors need to be successful in the online technical communication classroom. Formed as a 10-year retrospective of the field and its advances in online education professional development, the book offers instructors theoretical and practical suggestions for creating and teaching successful online courses and managing entire online technical communication programs. This book was originally published as a special issue of Technical Communication Quarterly (TCQ).