Writing Small Omegas: Elie Cartan's Contributions to the Theory of Continuous Groups 1894-1926 provides a general account of Lie's theory of finite continuous groups, critically examining Cartan's doctoral attempts to rigorously classify simple Lie algebras, including the use of many unpublished letters. It evaluates pioneering attempts to generalize Lie's classical ideas to the infinite-dimensional case in the works of Lie, Engel, Medolaghi and Vessiot. Within this context, Cartan's groundbreaking contributions in continuous group theory, particularly in his characteristic and unique recourse to exterior differential calculus, are introduced and discussed at length. The work concludes by discussing Cartan's contributions to the structural theory of infinite continuous groups, his method of moving frames, and the genesis of his geometrical theory of Lie groups. - Discusses the origins of the theory of moving frames and the geometrical theory of Lie groups - Reviews Cartan's revolutionary contributions to Lie group theory and differential geometry - Evaluates many unpublished sources that shed light on important aspects of the historical development of Lie algebras

This book shows readers how to calculate the orbit of Mars, based on their own observations and using observations made by the author. The historical, observational, and analytical aspects of the project to measure the orbit of Mars are all combined in this one book! Determining the orbit of Mars is particularly important, as originally solving this problem required the founding of modern science. Clark discusses how people came to believe in the Newtonian model of the Solar System, works through the mathematical basis for the theory of gravity, and shows how Newton ruled out the possibility of alternative theories. Readers also learn how it became possible to accurately measure the positions of Mars from a moving, spinning platform—the Earth. This mid-level observational challenge is well within reach of most serious amateur astronomers. For the observations, only a telescope with auto-guiding capability and the ability to mount a digital single lens reflex (DSLR) camera is required. For the calculations, it is assumed that the reader has a science, engineering, or mathematics background and is familiar with calculus, vectors, and trigonometry.

Tomas Raffle, a strong willed and determined Navy commander is the leader of the Omega Force, the United States Government's top-secret military strike team. A team that operates outside the rules laid down by things like the Geneva Convention. Their latest mission takes them into Iran in search of two nuclear missiles. But when the mission fails and a majority of his men are killed in the raid, Raffle suspects betrayal as the evidence starts pointing towards someone in Washington D.C. Maybe even the President himself. Meanwhile, the President receives mysterious calls threatening to release the Gulf War Syndrome on the capitol, unless he publicly admits to a government cover-up concerning the origin of the terrible disease. To make matters worse, the caller knows about the Omega Force and its mission, though only a select few people are supposed to be aware of its existence. Now with only 6 days to come forward with the information and the President's daughter taken ill, apparently suffering from a more deadly version of the syndrome, Raffle has to help the President uncover the identity of the blackmailer, while he is hunting the person responsible for the slaughter of his team in the desert.

By the bestselling author of Four Fish and American Catch, an eye-opening investigation of the history, science, and business behind omega-3 fatty acids, the "miracle compound" whose story is intertwined with human health and the future of our planet Omega-3 fatty acids have long been celebrated by doctors and dieticians as key to a healthy heart and a sharper brain. In the last few decades, that promise has been encapsulated in one of America's most popular dietary supplements. Omega-3s are today a multi-billion dollar business, and sales are still growing apace--even as recent medical studies caution that the promise of omega-3s may not be what it first appeared. But a closer look at the omega-3 sensation reveals something much deeper and more troubling. The miracle pill is only the latest product of the reduction industry, a vast, global endeavor that over the last century has boiled down trillions of pounds of marine life into animal feed, fertilizer, margarine, and dietary supplements. The creatures that are the victims of that industry seem insignificant to the untrained eye, but turn out to be essential to the survival of whales, penguins, and fish of all kinds, including many that we love to eat. Behind these tiny molecules is a big story: of the push-and-pull of science and business; of the fate of our oceans in a human-dominated age; of the explosion of land food at the expense of healthier and more sustainable seafood; of the human quest for health and long life at all costs. James Beard Award-winning author Paul Greenberg probes the rich and surprising history of omega-3s--from the dawn of complex life, when these compounds were first formed; to human prehistory, when the discovery of seafood may have produced major cognitive leaps for our species; and on to the modern era, when omega-3s may point the way to a bold new direction for our food system. With wit and boundless curiosity, Greenberg brings us along on his travels--from Peru to Antarctica, from the Canary Islands to the Amalfi Coast--to reveal firsthand the practice and repercussions of our unbalanced way of eating. Rigorously reported and winningly told, The Omega Principle is a powerful argument for a more deliberate and forward-thinking relationship to the food we eat and the oceans that sustain us.

This book examines the historically unique conditions under which the International Congress of Mathematicians took place in Oslo in 1936. This Congress was the only one on this level to be held during the period of the Nazi regime in Germany (1933–1945) and after the wave of emigrations from it. Relying heavily on unpublished archival sources, the authors consider the different goals of the various participants in the Congress, most notably those of the Norwegian organizers, and the Nazi-led German delegation. They also investigate the reasons for the absence of the proposed Soviet and Italian delegations. In addition, aiming to shed light onto the mathematical dimension of the Congress, the authors provide overviews of the nineteen plenary presentations, as well as their planning and development. Biographical information about each of the plenary speakers rounds off the picture. The Oslo Congress, the first at which Fields Medals were awarded, is used as a lens through which the reader of this book can view the state of the art of mathematics in the mid-1930s.

If you want to learn how to write fanfiction, choose genres, and develop characters & their relationships to become a better fanfiction writer, then check out HowExpert Guide to Writing Fanfiction. Writing can be a daunting task, regardless of if you’re an experienced writer or just getting started. The act of creating is both a lovely experience and a tiresome one. As a result, some writers begin their writing journey by making fan fiction. Fanfiction is a wonderful way to learn the craft and make connections with others who are interested in the same subject as you are. If you are interested in learning about the thrilling world of writing fan fiction, then why don’t you take some time to read this book, HowExpert Guide to Writing Fanfiction. If you’re a first-time fan fiction writer, I’ll guide you through the process from start to finish, and soon you’ll be posting your fics for the world to see in no time. You can even take the information you learn from this book and use it in writing other types of literature, such as the short story, novella, or novel. Fanfiction comes with its own terms and rules that need to be followed in order to make a successful story. Unfortunately, some of those terms only apply to fan fiction and not traditional literature, so you’ll need to know what they are before you get started. This book will help you learn everything you need to know to have the confidence to begin your adventure. Check out HowExpert Guide to Writing Fanfiction to learn how to write fanfiction, choose genres, and develop characters & their relationships to become a better fanfiction writer! About the Author Mariah Sanchez is a Hispanic writer from a coastal south Texas town. In 2016 she graduated from Texas A&M University with a BFA in English. She has worked as an English teacher, a tutor for English second language learners, and a technical writer. Her poetry has been published in a local anthology on multiple occasions. She is working on writing a poetry book and a novel that she hopes to publish soon. Currently, she spends her time working as a freelance writer and artist. HowExpert publishes how to guides by everyday experts.

Over the last several years developing human research suggests that a component of omega-3 fatty acids, long chain ones, contribute particularly to health benefits. Omega-6/3 Fatty Acids: Functions, Sustainability Strategies and Perspectives focuses on developing information on this newly recognized key component. This volume uniquely, and for the first time, focuses on sustainability of natural sources of omega-3 fatty acids variants including long chain ones, and on ways to increase their use and availability to reduce major diseases. The authors review cardiovascular disease, neurological changes and mental health and other diseases like diabetes where long chain omega-3 fatty acids play protective roles from recent human trials. Each chapter evaluates developing information on the possible mechanistic role of long chain omega-3 fatty acids. After showing their requirement and involvement in health promotion there are reviews of various sources and ways to protect and promote them. Authors provide support for the benefits and sources of long chain omega-3 fatty acids and their increased dietary intake that reduce various physical and mental illnesses. Omega-6/3 Fatty Acids: Functions, Sustainability and Perspectives is a unique and important new volume that provides the latest data and reviews to physicians who need to assess serum omega-6/3 and fatty acids to help diagnose risks and change diets and to inform industry and the scientific community with reviews of research for actions including new studies and therapies.