Metric Affine Geometry focuses on linear algebra, which is the source for the axiom systems of all affine and projective geometries, both metric and nonmetric. This book is organized into three chapters. Chapter 1 discusses nonmetric affine geometry, while Chapter 2 reviews inner products of vector spaces. The metric affine geometry is treated in Chapter 3. This text specifically discusses the concrete model for affine space, dilations in terms of coordinates, parallelograms, and theorem of Desargues. The inner products in terms of coordinates and similarities of affine spaces are also elaborated. The prerequisites for this publication are a course in linear algebra and an elementary course in modern algebra that includes the concepts of group, normal subgroup, and quotient group. This monograph is suitable for students and aspiring geometry high school teachers.
These seven lectures are intended to serve as an introduction for beginning graduate students to the spectra of small molecules. The author succeeds in illustrating the concepts by using language and metaphors that capture and elegantly convey simple insights into dynamics that lie beyond archival molecular constants. The lectures can simultaneously be viewed as a collection of interlocking special topics that have fascinated the author and his students over the years. Though neither a textbook nor a scholarly monograph, the book provides an illuminating perspective that will benefit students and researchers alike.
And concluding with some examples of polyatomic molecule dynamics. P Students will discover that there is a fascinating world of cause-and-effect localized dynamics concealed beyond the reduction of spectra to archival molecular constants and the exact ab initio computation of molecular properties.-
Raised from Rhode Island farmers and millworkers in the autumn of 1861, the Union soldiers of Battery G fought in such bloody conflicts as Antietam, Chancellorsville, Gettysburg, Spotsylvania, and Cedar Creek. At the storming of Petersburg on April 2, 1865, seven cannoneers were awarded the Medal of Honor for heroism in the face of the enemy. This history captures the battlefield exploits of the "Boys of Hope" but also depicts camp life, emerging cannon technology, and the social events of the Civil War.
Since the first stimulated emission pumping (SEP) experiments more than a decade ago, this technique has proven powerful for studying vibrationally excited molecules. SEP is now widely used by increasing numbers of research groups to investigate fundamental problems in spectroscopy, intramolecular dynamics, intermolecular interactions, and even reactions. SEP provides rotationally pre-selected spectra of vibrationally highly excited molecules undergoing large amplitude motions. A unique feature of SEP is the ability to access systematically a wide variety of extreme excitations localized in various parts of a molecule, and to prepare populations in specific, high vibrational levels. SEP has made it possible to ask and answer specific questions about intramolecular vibrational redistribution and the role of vibrational excitation in chemical reactions.
This collection of transcriptions of gravestones from a large number of Henry County, Kentucky, cemeteries originally appeared in three issues of The Filson Club History Quarterly (July and September 1978, and July 1979) and is reprinted here with permission of The Filson Club. Mr. Johnson, then a member of the Oldham County Historical Society, prepared the first two installments; Mrs. Dent, an active Filsonian and local historian, prepared the final part. Taken as a whole, the work identifies Henry County inhabitants buried in 83 different cemeteries, including the large South Pleasureville Public Cemetery, whose records occupy almost all of Mrs. DentΓ s portion.
Each book in this series offers practical guidelines to aid diagnosis and management of common disorders seen in primary care offices. The consistent format promotes efficient study and quick reference.
In early summer 1864, the entire region of central Virginia was engulfed in the flames of war. As Grant's Federal army pushed ever south, trading battles and bodies with Lee's Army of Northern Virginia, forces came to a head at the Battle of Totopotomoy Creek. Though overshadowed by the proceeding Battle of Cold Harbor, Totopotomoy Creek exemplified the bloody skirmishes of the entire Overland Campaign. Polegreen Church and its eighteenth-century hero Samuel Davies offer an example of the destruction the war brought to central Virginia. Join author Robert Bluford as he incorporates diaries, regimental histories and other primary sources to detail the heroism of famed Civil War participants Winfield Hancock, Jubal Early, Ulysses S. Grant, Robert E. Lee and many more.
Trask’s Historical Linguistics provides an accessible introduction to historical linguistics – the study of language change over time. This engaging book is illustrated with language examples from all six continents, and covers the fundamental concepts of language change, methods for historical linguistics, linguistic reconstruction, sociolinguistic aspects of language change, language contact, the birth and death of languages, language and prehistory, and the issue of very remote relations. The fourth edition of this renowned textbook is fully revised and updated and covers the most recent developments in historical linguistics, including: A thorough reworking of sections on morphological and syntactic change, incorporating progress in areas such as grammaticalization and the discussion of the Indo-European ‘homeland’ Discussion and analysis of ‘folk’ historical linguistics and its connection with some of the more eccentric views of professional linguists An expanded discussion of language contact, historical sociolinguistics, and language planning, including a discussion of contemporary competing views on the genesis and nature of creoles, and their importance in our understanding of radical linguistic change Updated support material including suggestions for essay questions and a larger number of supporting examples of the phenomena described in the book Trask’s Historical Linguistics is essential reading for advanced undergraduate and postgraduate students of historical linguistics as well as any student looking for a grounded introduction to the English language.
If you are seeking a comprehensive reference for collectible gun values, the Gun Trader’s Guide is the only book you need. Included are extensive listings for handguns, shotguns, and rifles from some of the most popular manufacturers, including Beretta, Browning, Colt, Remington, Savage, Smith & Wesson, Winchester, and many more. The Gun Trader's Guide is a one-stop manual to buying collectible firearms. For more than half a century, this guide has been the standard reference for collectors, curators, dealers, shooters, and gun enthusiasts. Updated annually, it remains the definitive source for making informed decisions on used firearms purchases.
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