The Power Of Large Numbers

French government officials have long been known among Europeans for the special attention they give to the state of their population. In the first half of the nineteenth century, as Paris doubled in size and twice suffered the convulsions of popular revolution, civic leaders looked with alarm at what they deemed a dangerous population explosion. After defeat in the Franco-Prussian War in 1870, however, the falling birthrate generated widespread fears of cultural and national decline. In response, legislators promoted larger families and the view that a well-regulated family life was essential for France.In this innovative work of cultural history, Joshua Cole examines the course of French thinking and policymaking on population issues from the 1780s until the outbreak of the Great War. During these decades increasingly sophisticated statistical methods for describing and analyzing such topics as fertility, family size, and longevity made new kinds of aggregate knowledge available to social scientists and government officials. Cole recounts how this information heavily influenced the outcome of debates over the scope and range of public welfare legislation. In particular, as the fear of depopulation grew, the state wielded statistical data to justify increasing intervention in family life and continued restrictions on the autonomy of women.

In the American Mathematical Society's first-ever book for kids (and kids at heart), mathematician and author Richard Evan Schwartz leads math lovers of all ages on an innovative and strikingly illustrated journey through the infinite number system. By means of engaging, imaginative visuals and endearing narration, Schwartz manages the monumental task of presenting the complex concept of Big Numbers in fresh and relatable ways. The book begins with small, easily observable numbers before building up to truly gigantic ones, like a nonillion, a tredecillion, a googol, and even ones too huge for names! Any person, regardless of age, can benefit from reading this book. Readers will find themselves returning to its pages for a very long time, perpetually learning from and growing with the narrative as their knowledge deepens. Really Big Numbers is a wonderful enrichment for any math education program and is enthusiastically recommended to every teacher, parent and grandparent, student, child, or other individual interested in exploring the vast universe of numbers.

Begins with study of history of statistics, and shows how the evolution of modern statistics has been inextricably bound up with the knowledge and power of governments.

Apply this incredible law to every area of your life. While the law of large numbers has been applied to fields such as math and science for several decades, its power has just recently begun to be applied to the fields of business and personal growth. Today, people from all walks of life are using the law of large numbers to achieve their highest objectives, with great confidence and complete peace of mind. Now, award-winning speaker and personal performance expert Dr. Gary Goodman has created a full-scale program showing you how to apply this incredible law to every area of your life. Gary shares with you the amazing power this simple philosophy has brought to his life and the hundreds of people he has consulted with. According to Gary, "If you stand second in line in enough lines, sooner or later, even by sheer luck, you are bound to reach the top in at least one, if not several of those lines, over time." Learn: • A new process of setting clear goals in every major area of your life • How to gain the ability to focus on positive outcomes in all situations. • The law of large numbers approach to being more successful in any sales position. • How to become an expert communicator by expanding your vocabulary with the law of large numbers. • A clear, concise action plan for how you can develop your own personal law of large numbers strategy and apply it to any area of your life. • A 31-day action plan to stay positive every day and stay on track with your law of large numbers campaign. • And much, much more!

The Law of Large Numbers deals with three types of law of large numbers according to the following convergences: stochastic, mean, and convergence with probability 1. The book also investigates the rate of convergence and the laws of the iterated logarithm. It reviews measure theory, probability theory, stochastic processes, ergodic theory, orthogonal series, Huber spaces, Banach spaces, as well as the special concepts and general theorems of the laws of large numbers. The text discusses the laws of large numbers of different classes of stochastic processes, such as independent random variables, orthogonal random variables, stationary sequences, symmetrically dependent random variables and their generalizations, and also Markov chains. It presents other laws of large numbers for subsequences of sequences of random variables, including some general laws of large numbers which are not related to any concrete class of stochastic processes. The text cites applications of the theorems, as in numbers theory, statistics, and information theory. The text is suitable for mathematicians, economists, scientists, statisticians, or researchers involved with the probability and relative frequency of large numbers.

In today’s world, the use of numbers grows by the day, and we depend on them for so much. This book contains a series of lists that contain information about numbers and their use in society. They will be most useful to those with a quizzical nature but should be of general interest to all. ‘Schrödinger’s cat’ was an infamous and cruel thought experiment dreamt up in the last century to expose one of the mistaken ideas current in science at that time. Since escaping from the box Felix has taken up writing and, in collaboration with retired water engineer Pyotr Stilovsky, he has compiled this factual compendium.

Request a FREE 30-day online trial to this title at www.sagepub.com/freetrial This two-volume encyclopedia provides a thorough introduction to the wide-ranging, fast-developing field of social networking, a much-needed resource at a time when new social networks or "communities" seem to spring up on the internet every day. Social networks, or groupings of individuals tied by one or more specific types of interests or interdependencies ranging from likes and dislikes, or disease transmission to the "old boy" network or overlapping circles of friends, have been in existence for longer than services such as Facebook or YouTube; analysis of these networks emphasizes the relationships within the network . This reference resource offers comprehensive coverage of the theory and research within the social sciences that has sprung from the analysis of such groupings, with accompanying definitions, measures, and research. Featuring approximately 350 signed entries, along with approximately 40 media clips, organized alphabetically and offering cross-references and suggestions for further readings, this encyclopedia opens with a thematic Reader's Guide in the front that groups related entries by topics. A Chronology offers the reader historical perspective on the study of social networks. This two-volume reference work is a must-have resource for libraries serving researchers interested in the various fields related to social networks.