The Book of Traces

The Book of Traces

Author: Volker Diekert

Publisher: World Scientific

Published: 1995

Total Pages: 596

ISBN-13: 9789810220587

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The theory of traces employs techniques and tackles problems from quite diverse areas which include formal language theory, combinatorics, graph theory, algebra, logic, and the theory of concurrent systems. In all these areas the theory of traces has led to interesting problems and significant results. It has made an especially big impact in formal language theory and the theory of concurrent systems. In both these disciplines it is a well-recognized and dynamic research area. Within formal language theory it yields the theory of partially commutative monoids, and provides an important connection between languages and graphs. Within the theory of concurrent systems it provides an important formal framework for the analysis and synthesis of concurrent systems.This monograph covers all important research lines of the theory of traces; each chapter is devoted to one research line and is written by leading experts. The book is organized in such a way that each chapter can be read independently ? and hence it is very suitable for advanced courses or seminars on formal language theory, the theory of concurrent systems, the theory of semigroups, and combinatorics. An extensive bibliography is included. At present, there is no other book of this type on trace theory.


Life Traces of the Georgia Coast

Life Traces of the Georgia Coast

Author: Anthony J. Martin

Publisher: Indiana University Press

Published: 2013-01-14

Total Pages: 714

ISBN-13: 0253006090

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Have you ever wondered what left behind those prints and tracks on the seashore, or what made those marks or dug those holes in the dunes? Life Traces of the Georgia Coast is an up-close look at these traces of life and the animals and plants that made them. It tells about how the tracemakers lived and how they interacted with their environments. This is a book about ichnology (the study of such traces) and a wonderful way to learn about the behavior of organisms, living and long extinct. Life Traces presents an overview of the traces left by modern animals and plants in this biologically rich region; shows how life traces relate to the environments, natural history, and behaviors of their tracemakers; and applies that knowledge toward a better understanding of the fossilized traces that ancient life left in the geologic record. Augmented by illustrations of traces made by both ancient and modern organisms, the book shows how ancient trace fossils directly relate to modern traces and tracemakers, among them, insects, grasses, crabs, shorebirds, alligators, and sea turtles. The result is an aesthetically appealing and scientifically grounded book that will serve as source both for scientists and for anyone interested in the natural history of the Georgia coast.


Lovely Traces of Hope

Lovely Traces of Hope

Author: Kathy Burrus

Publisher:

Published: 2016-08-16

Total Pages:

ISBN-13: 9780997885033

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Days after the sudden death of her 15-year-old daughter, Leisha, Kathy Burrus found chapter one of a book her daughter had begun to write. Overwhelmed with grief, Kathy asked many of the questions we ask ourselves in life's most painful moments; * Why is this happening to me? * Where are you God? * How can I deal with this unexpected pain in my life? It was Leisha's unfinished book that penetrated deep into the torn and broken heart of her mother. As Kathy wrote to finish Leisha's story, Leisha pointed her mom to see the lovely traces God revealed about himself in random and unexpected ways. The Living One who Died became alive in Kathy's life like never before. Do you struggle to see goodness from the God who has allowed your journey to have heart-wrenching pain? Do you long to experience the hope that God promises you? God is giving you Lovely Traces of Hope each day. In this book, Kathy reveals how she began to see them.


A Way Through the Wilderness

A Way Through the Wilderness

Author: William C. Davis

Publisher: HarperCollins Publishers

Published: 1995

Total Pages: 424

ISBN-13:

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This is a spirited history of the settlement of the Old Southwest, the area that today includes primarily Mississippi and Alabama.


The Book Of Traces

The Book Of Traces

Author: Volker Diekert

Publisher: World Scientific

Published: 1995-03-07

Total Pages: 588

ISBN-13: 9814501263

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The theory of traces employs techniques and tackles problems from quite diverse areas which include formal language theory, combinatorics, graph theory, algebra, logic, and the theory of concurrent systems. In all these areas the theory of traces has led to interesting problems and significant results. It has made an especially big impact in formal language theory and the theory of concurrent systems. In both these disciplines it is a well-recognized and dynamic research area. Within formal language theory it yields the theory of partially commutative monoids, and provides an important connection between languages and graphs. Within the theory of concurrent systems it provides an important formal framework for the analysis and synthesis of concurrent systems.This monograph covers all important research lines of the theory of traces; each chapter is devoted to one research line and is written by leading experts. The book is organized in such a way that each chapter can be read independently — and hence it is very suitable for advanced courses or seminars on formal language theory, the theory of concurrent systems, the theory of semigroups, and combinatorics. An extensive bibliography is included. At present, there is no other book of this type on trace theory.


Regularised Integrals, Sums and Traces

Regularised Integrals, Sums and Traces

Author: Sylvie Paycha

Publisher: American Mathematical Soc.

Published: 2012

Total Pages: 203

ISBN-13: 0821853678

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``Regularization techniques'' is the common name for a variety of methods used to make sense of divergent series, divergent integrals, or traces of linear operators in infinite-dimensional spaces. Such methods are often indispensable in problems of number theory, geometry, quantum field theory, and other areas of mathematics and theoretical physics. However arbitrary and noncanonical they might seem at first glance, regularized sums, integrals, and traces often contain canonical concepts, and the main purpose of this book is to illustrate and explain this. This book provides a unified and self-contained mathematical treatment of various regularization techniques. The author shows how to derive regularized sums, integrals, and traces from certain canonical building blocks of the original divergent object. In the process of putting together these ``building blocks'', one encounters many problems and ambiguities caused by various so-called anomalies, which are investigated and explained in detail. Nevertheless, it turns out that the corresponding canonical sums, integrals, sums, and traces are well behaved, thus making the regularization procedure possible and manageable. This new unified outlook on regularization techniques in various fields of mathematics and in quantum field theory can serve as an introduction for anyone from a beginning mathematician interested in the subject to an experienced physicist who wants to gain a unified outlook on techniques he/she uses on a daily basis.


Trace

Trace

Author: Lauret E. Savoy

Publisher: Counterpoint

Published: 2015

Total Pages: 225

ISBN-13: 9781619025738

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Sand and stone are Earth's fragmented memory. Each of us, too, is a landscape inscribed by memory and loss. One life-defining lesson Lauret Savoy learned as a young girl was this: the American land did not hate. As an educator and Earth historian, she has tracked the continent's past from the relics of deep time; but the paths of ancestors toward herpaths of free and enslaved Africans, colonists from Europe, and peoples indigenous to this landlie largely eroded and lost. In this provocative and powerful mosaic of personal journeys and historical inquiry across a continent and time, Savoy explores how the country's still unfolding history, and ideas of race,” have marked her and the land. From twisted terrain within the San Andreas Fault zone to a South Carolina plantation, from national parks to burial grounds, from Indian Territory” and the U.S.-Mexico Border to the U.S. capital,Trace grapples with a searing national history to reveal the often unvoiced presence of the past. In distinctive and illuminating prose that is attentive to the rhythms of language and landscapes, she weaves together human stories of migration, silence, and displacement, as epic as the continent they survey, with uplifted mountains, braided streams, and eroded canyons. Gifted with this manifold vision, and graced by a scientific and lyrical diligence, she delves through fragmented histories -- natural, personal, cultural -- to find shadowy outlines of other stories of place in America. Every landscape is an accumulation, reads one epigraph. Life must be lived amidst that which was made before. Courageously and masterfully, Lauret Savoy does so in this beautiful book: she lives there, making sense of this land and its troubled past, reconciling what it means to inhabit terrains of memoryand to be one. Though deeply personal,Trace concerns who we all are in this terrain called the United States, inviting readers to have a more honest understanding of history's impact in our lives.


Book Traces

Book Traces

Author: Andrew M. Stauffer

Publisher: University of Pennsylvania Press

Published: 2021-02-05

Total Pages: 224

ISBN-13: 0812252683

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In most college and university libraries, materials published before 1800 have been moved into special collections, while the post-1923 books remain in general circulation. But books published between these dates are vulnerable to deaccessioning, as libraries increasingly reconfigure access to public-domain texts via digital repositories such as Google Books. Even libraries with strong commitments to their print collections are clearing out the duplicates, assuming that circulating copies of any given nineteenth-century edition are essentially identical to one another. When you look closely, however, you see that they are not. Many nineteenth-century books were donated by alumni or their families decades ago, and many of them bear traces left behind by the people who first owned and used them. In Book Traces, Andrew M. Stauffer adopts what he calls "guided serendipity" as a tactic in pursuit of two goals: first, to read nineteenth-century poetry through the clues and objects earlier readers left in their books and, second, to defend the value of keeping the physical volumes on the shelves. Finding in such books of poetry the inscriptions, annotations, and insertions made by their original owners, and using them as exemplary case studies, Stauffer shows how the physical, historical book enables a modern reader to encounter poetry through the eyes of someone for whom it was personal.


Iterative Ray-tracing Simulation of Minimum Group-path Traces in Swept-frequency Backscatter Ionograms

Iterative Ray-tracing Simulation of Minimum Group-path Traces in Swept-frequency Backscatter Ionograms

Author: Ming S. Wong

Publisher:

Published: 1975

Total Pages: 28

ISBN-13:

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Swept-frequency traces of minimum group-path length in backscatter-radar ionograms, computed for a measured three-dimensional electron distribution in the midnight sector of the polar ionosphere, are presented. Also presented are minimum group-path traces computed for trial electron distributions chosen to simulate the group-path traces of the measured electron distribution, and to show the effects on the group-path traces as consequences of variations made upon major features of the trial electron distributions.