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Information geometry provides the mathematical sciences with a new framework of analysis. It has emerged from the investigation of the natural differential geometric structure on manifolds of probability distributions, which consists of a Riemannian metric defined by the Fisher information and a one-parameter family of affine connections called the $\alpha$-connections. The duality between the $\alpha$-connection and the $(-\alpha)$-connection together with the metric play an essential role in this geometry. This kind of duality, having emerged from manifolds of probability distributions, is ubiquitous, appearing in a variety of problems which might have no explicit relation to probability theory. Through the duality, it is possible to analyze various fundamental problems in a unified perspective. The first half of this book is devoted to a comprehensive introduction to the mathematical foundation of information geometry, including preliminaries from differential geometry, the geometry of manifolds or probability distributions, and the general theory of dual affine connections. The second half of the text provides an overview of many areas of applications, such as statistics, linear systems, information theory, quantum mechanics, convex analysis, neural networks, and affine differential geometry. The book can serve as a suitable text for a topics course for advanced undergraduates and graduate students. This volume is co-published by the AMS and Oxford University Press. The AMS has exclusive distribution rights in North America. AMS members in Europe may purchase the book from the AMS. Both the AMS and OUP have worldwide distribution rights.

Information geometry provides the mathematical sciences with a new framework of analysis. It has emerged from the investigation of the natural differential geometric structure on manifolds of probability distributions, which consists of a Riemannian metric defined by the Fisher information and a one-parameter family of affine connections called the $\alpha$-connections. The duality between the $\alpha$-connection and the $(-\alpha)$-connection together with the metric play an essential role in this geometry. This kind of duality, having emerged from manifolds of probability distributions, is ubiquitous, appearing in a variety of problems which might have no explicit relation to probability theory. Through the duality, it is possible to analyze various fundamental problems in a unified perspective. The first half of this book is devoted to a comprehensive introduction to the mathematical foundation of information geometry, including preliminaries from differential geometry, the geometry of manifolds or probability distributions, and the general theory of dual affine connections. The second half of the text provides an overview of many areas of applications, such as statistics, linear systems, information theory, quantum mechanics, convex analysis, neural networks, and affine differential geometry. The book can serve as a suitable text for a topics course for advanced undergraduates and graduate students. This volume is co-published by the AMS and Oxford University Press. The AMS has exclusive distribution rights in North America. AMS members in Europe may purchase the book from the AMS. Both the AMS and OUP have worldwide distribution rights.

1965: by Patrick Bilingsley - 193 pages - Published by John Wiley & Sons.

This two-volume set on Mathematical Principles of the Internet provides a comprehensive overview of the mathematical principles of Internet engineering. The books do not aim to provide all of the mathematical foundations upon which the Internet is based. Instead, they cover a partial panorama and the key principles. Volume 1 explores Internet engineering, while the supporting mathematics is covered in Volume 2. The chapters on mathematics complement those on the engineering episodes, and an effort has been made to make this work succinct, yet self-contained. Elements of information theory, algebraic coding theory, cryptography, Internet traffic, dynamics and control of Internet congestion, and queueing theory are discussed. In addition, stochastic networks, graph-theoretic algorithms, application of game theory to the Internet, Internet economics, data mining and knowledge discovery, and quantum computation, communication, and cryptography are also discussed. In order to study the structure and function of the Internet, only a basic knowledge of number theory, abstract algebra, matrices and determinants, graph theory, geometry, analysis, optimization theory, probability theory, and stochastic processes, is required. These mathematical disciplines are defined and developed in the books to the extent that is needed to develop and justify their application to Internet engineering.

Mathematical Linguistics introduces the mathematical foundations of linguistics to computer scientists, engineers, and mathematicians interested in natural language processing. The book presents linguistics as a cumulative body of knowledge from the ground up: no prior knowledge of linguistics is assumed. As the first textbook of its kind, this book is useful for those in information science and in natural language technologies.

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Written by one of the most respected figures in American linguistics, this book develops an approach to the analysis of language on a mathematical model. Harris presents a formal theory of language structure, in which syntax is characterized as an orderly system of departure from random combinings of sounds, words, and all the elements of language. He argues that the combining of words in a sentence constitutes a mathematical object, and that each departure from randomness is a contribution to the structure and meaning of a sentence. Discussing the differences in the structure and content of language, mathematics, and music, Harris shows that the use of language in a science constitutes a distinguishable sub-language. Remarkable and compelling, Harris's magnum opus will be considered the classical analysis of the structuring of information and development of language.

This two-volume set on Mathematical Principles of the Internet provides a comprehensive overview of the mathematical principles of Internet engineering. The books do not aim to provide all of the mathematical foundations upon which the Internet is based. Instead, they cover a partial panorama and the key principles. Volume 1 explores Internet engineering, while the supporting mathematics is covered in Volume 2. The chapters on mathematics complement those on the engineering episodes, and an effort has been made to make this work succinct, yet self-contained. Elements of information theory, algebraic coding theory, cryptography, Internet traffic, dynamics and control of Internet congestion, and queueing theory are discussed. In addition, stochastic networks, graph-theoretic algorithms, application of game theory to the Internet, Internet economics, data mining and knowledge discovery, and quantum computation, communication, and cryptography are also discussed. In order to study the structure and function of the Internet, only a basic knowledge of number theory, abstract algebra, matrices and determinants, graph theory, geometry, analysis, optimization theory, probability theory, and stochastic processes, is required. These mathematical disciplines are defined and developed in the books to the extent that is needed to develop and justify their application to Internet engineering.

This concise and readable book addresses primarily readers with a background in classical statistical physics and introduces quantum mechanical notions as required. Conceived as a primer to bridge the gap between statistical physics and quantum information, it emphasizes concepts and thorough discussions of the fundamental notions and prepares the reader for deeper studies, not least through a selection of well chosen exercises.

Written by one of the most respected figures in American linguistics, this book develops an approach to the analysis of language on a mathematical model. Harris presents a formal theory of language structure, in which syntax is characterized as an orderly system of departure from random combinings of sounds, words, and all the elements of language. He argues that the combining of words in a sentence constitutes a mathematical object, and that each departure from randomness is a contribution to the structure and meaning of a sentence. Discussing the differences in the structure and content of language, mathematics, and music, Harris shows that the use of language in a science constitutes a distinguishable sub-language. Remarkable and compelling, Harris's magnum opus will be considered the classical analysis of the structuring of information and development of language.

Mathematical Linguistics introduces the mathematical foundations of linguistics to computer scientists, engineers, and mathematicians interested in natural language processing. The book presents linguistics as a cumulative body of knowledge from the ground up: no prior knowledge of linguistics is assumed. As the first textbook of its kind, this book is useful for those in information science and in natural language technologies.

No need to stop what you're doing to check the information you need. Monitor time, date, indoor/outdoor temperature with trend arrows, and 12 hour forecast at a glance with this elegant and modern Atomic Digital Wall Clock by La Crosse Technology. Its soft contemporary design with black frame and brushed silver front overlay is suited for home or office. Displays precise atomic time and automatically adjusts for Daylight Saving Time. The calendar displays month, date, and day of the week. The included outdoor temperature sensor transmits up to 330 ft. Temperature could be displayed in Fahrenheit or Celsius. Stylish, and easy to read, the La Crosse Technology Atomic Digital Wall Clock with Forecast and Indoor and Outdoor puts the information you need where you need it. Color: Black/silver.

Wake on time to the information you need with La Crosse Technology Alarm Clock with Indoor Temperature and Humidity and Outdoor Temperature with USB charging port. It's an alarm clock, and so much more. Check current indoor temperature and humidity and, with the included sensor, get the current temperature from over 150 ft. away outside your home. Supports 2-optional add-on sensors (sold separately) for monitoring multiple locations around your home. Keep tabs on the greenhouse or back porch at a glance. Displays outdoor sensors with searching and auto-scrolling functions. You can even track MIN/MAX values. Choose from either Celsius or Fahrenheit temperature display. In addition to time and temperatures, the easy-to-read color display with adjustable backlight shows calendar date and day of week. Looks great on a table or nightstand but can also be wall mounted. USB power cord plugs into your power block for universal power connection when you're on the go. AC adapter power brick is sold separately. Optional battery operation, requires 2 AAA alkaline batteries to allow even more portability. Its weak/low battery indicator helps you keep the information you need up and running. Color: N/A.

No need to stop what you're doing to check the information you need. Monitor time, date, indoor/outdoor temperature with trend arrows, and 12 hour forecast at a glance with this elegant and modern Atomic Digital Wall Clock by La Crosse Technology. Its soft contemporary design with gray frame and brushed silver front overlay is suited for home or office. Displays precise atomic time and automatically adjusts for Daylight Saving Time. The calendar displays month, date, and day of the week. The included outdoor temperature sensor transmits up to 330 ft. Temperature could be displayed in Fahrenheit or Celsius. Stylish, and easy to read, the La Crosse Technology Atomic Digital Wall Clock with Forecast and Indoor and Outdoor puts the information you need where you need it. Color: Soft gray/silver.

Start your day on time and informed. Why settle for a mere alarm clock with snooze function? La Crosse Technology's Projection Alarm Clock also displays your accurate time, room climate, and your backyard weather data. With adjustable projection angle and focus you can cast the information you want onto wall or ceiling. Auto-dim and nap timer will help you relax and sleep when you need to. Connect over WIFI to receive AccuWeather data stream for future forecasting and more features. Download the free La Crosse View Mobile App and keep an eye on your home's climate conditions from anywhere on-the-go. Set custom alerts to avoid uncomfortable environmental surprises. Optionally, add compatible sensors to monitor everything from backyard rainfall or wind speeds. Powered by 5V adapter with CR2032 backup battery, you can use 1 amp USB charge port to help ensure that your phone is as charged upon waking as you are. View your day your way. Color: Black.

Lesson in the Abuse of Information Technology The Menzingers - LP 600773013117

Developed exclusively with the Caribbean Examinations Council, this Study Guide will provide you with the support to maximise your performance in CSEC Information Technology. Written by a team of experts in the syllabus and the examination, this Study Guide covers all the essential information in an easy-to-use double page spread format and also with online support. Each topic begins with key learning outcomes and contains a range of features to enhance your study of the subject.