Non-diophantine Arithmetics In Mathematics, Physics And Psychology PDF Download
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Author: Mark Burgin
Publisher: World Scientific
ISBN: 9811214328
Category : Mathematics
Languages : en
Pages : 960
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Book Description
For a long time, all thought there was only one geometry — Euclidean geometry. Nevertheless, in the 19th century, many non-Euclidean geometries were discovered. It took almost two millennia to do this. This was the major mathematical discovery and advancement of the 19th century, which changed understanding of mathematics and the work of mathematicians providing innovative insights and tools for mathematical research and applications of mathematics.A similar event happened in arithmetic in the 20th century. Even longer than with geometry, all thought there was only one conventional arithmetic of natural numbers — the Diophantine arithmetic, in which 2+2=4 and 1+1=2. It is natural to call the conventional arithmetic by the name Diophantine arithmetic due to the important contributions to arithmetic by Diophantus. Nevertheless, in the 20th century, many non-Diophantine arithmetics were discovered, in some of which 2+2=5 or 1+1=3. It took more than two millennia to do this. This discovery has even more implications than the discovery of new geometries because all people use arithmetic.This book provides a detailed exposition of the theory of non-Diophantine arithmetics and its various applications. Reading this book, the reader will see that on the one hand, non-Diophantine arithmetics continue the ancient tradition of operating with numbers while on the other hand, they introduce extremely original and innovative ideas.
Author: Mark Burgin
Publisher: World Scientific
ISBN: 9811214328
Category : Mathematics
Languages : en
Pages : 960
Get Book
Book Description
For a long time, all thought there was only one geometry — Euclidean geometry. Nevertheless, in the 19th century, many non-Euclidean geometries were discovered. It took almost two millennia to do this. This was the major mathematical discovery and advancement of the 19th century, which changed understanding of mathematics and the work of mathematicians providing innovative insights and tools for mathematical research and applications of mathematics.A similar event happened in arithmetic in the 20th century. Even longer than with geometry, all thought there was only one conventional arithmetic of natural numbers — the Diophantine arithmetic, in which 2+2=4 and 1+1=2. It is natural to call the conventional arithmetic by the name Diophantine arithmetic due to the important contributions to arithmetic by Diophantus. Nevertheless, in the 20th century, many non-Diophantine arithmetics were discovered, in some of which 2+2=5 or 1+1=3. It took more than two millennia to do this. This discovery has even more implications than the discovery of new geometries because all people use arithmetic.This book provides a detailed exposition of the theory of non-Diophantine arithmetics and its various applications. Reading this book, the reader will see that on the one hand, non-Diophantine arithmetics continue the ancient tradition of operating with numbers while on the other hand, they introduce extremely original and innovative ideas.
Author: Paweł Księżak
Publisher: Springer Nature
ISBN: 3031194470
Category : Law
Languages : en
Pages : 299
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Book Description
This book provides a set of proposals for the new conceptual network required in order to establish civil law rules for a world permeated by Artificial Intelligence. These proposals are intended by their authors to push the debate on the new civil law forward. In spite of the natural conservatism of jurists, some innovative or even futuristic ideas are called for, also because the future, even this not-so-distant one, is difficult to foresee. Paradoxically, and unlike in the past, this lack of knowledge must not stop us from planning. If it does, humankind may, as some pessimists already claim, lose its chance to win the battle for control of the world. The rise and expansion of Artificial Intelligence and robotics in recent years has highlighted a pressing need to create a suitable legal framework for this new phenomenon. The debate on the subject, although wide-ranging and involving many new legal documents, is still quite general and preliminary in nature, although these preparatory works illustrate the very real need to develop appropriate new civil law arrangements. It is exactly the branch of private law where the necessity of these new rules appears to be the most imperative. Autonomous vehicles, medical robots, and expertise software raise fundamental questions on aspects of civil liability such as culpability; whereas the growth in popularity of automated, intelligent software systems for concluding contracts requires a new approach to many fundamental and deeply rooted elements of contract law, e.g. consciousness, intent, error, deception, interpretation of contracts and good faith. Ruling on these specific matters demands the identification and clarification of certain key points, which shall become the foundation for constructing AI/robot civil law.
Author: Mars Geldard
Publisher: O'Reilly Media
ISBN: 1492044784
Category : Computers
Languages : en
Pages : 518
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Book Description
Create and implement AI-based features in your Swift apps for iOS, macOS, tvOS, and watchOS. With this practical book, programmers and developers of all kinds will find a one-stop shop for AI and machine learning with Swift. Taking a task-based approach, you’ll learn how to build features that use powerful AI features to identify images, make predictions, generate content, recommend things, and more. AI is increasingly essential for every developer—and you don’t need to be a data scientist or mathematician to take advantage of it in your apps. Explore Swift-based AI and ML techniques for building applications. Learn where and how AI-driven features make sense. Inspect tools such as Apple’s Python-powered Turi Create and Google’s Swift for TensorFlow to train and build models. I: Fundamentals and Tools—Learn AI basics, our task-based approach, and discover how to build or find a dataset. II: Task Based AI—Build vision, audio, text, motion, and augmentation-related features; learn how to convert preexisting models. III: Beyond—Discover the theory behind task-based practice, explore AI and ML methods, and learn how you can build it all from scratch... if you want to
Author: Todd A. Ricketts
Publisher: Plural Publishing
ISBN: 1635500583
Category : Medical
Languages : en
Pages : 905
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Book Description
Essentials of Modern Hearing Aids: Selection, Fitting, and Verification is a comprehensive textbook, ideal for graduate-level amplification courses in audiology programs. It also is the ultimate go-to reference for anyone fitting and dispensing hearing aids. This is truly an "A to Z" textbook, with topics including audiologic prefitting testing, needs assessment and treatment planning, hearing aid selection, verification, orientation and counseling, post-fitting follow-up, and real-world validation. Moreover, a substantial portion of the book reviews the underlying up-to-date design and function of digital hearing aid components, circuitry and processing, the wide assortment of hearing aid features, and the many algorithms that make these features work successfully. The world-renowned authors have included numerous prefitting and post-fitting tests that can be conducted along with step-by-step protocols for their administration and scoring. They also review the selection of hearing aid styles and fitting arrangements, explain the process of obtaining an ear impression, and making critical decisions regarding earmolds and hearing aid plumbing. Essentials of Modern Hearing Aidsprovides guidance for selecting prescriptive fitting approaches and detailed protocols for the use of behavioral measures and real-ear speech mapping to both verify the fitting and assess special hearing aid features. Follow-up care and validation options also are reviewed, with detailed guidelines for using a wide range of outcome measures. Key Features Included throughout the text are short paragraphs identified as "Technical Tips," "Key Concepts," "Things to Remember," "Points to Ponder," and "Soapbox" for quick reference.The text covers both foundation and direct clinical application.The veteran authors have over 100 years of combined experience in day-to-day patient care and clinical research.The book is infused with humor throughout! Written in an accessible and easy-to-read style, this text includes not only reference information, but also tools supported by research and clinical experience. The information is presented in a way that is both accessible to clinical students with little experience in the field and with enough depth for even the serious hearing aid researcher. The text is also appropriate as a handy companion for busy clinicians - a friendly resource where they can quickly find critical information needed for the next patient. *Disclaimer: Please note that ancillary content (such as documents, audio, and video, etc.) may not be included as published in the original print version of this book.
Author: Bruce W. Perry
Publisher: "O'Reilly Media, Inc."
ISBN: 1491946369
Category : Computers
Languages : en
Pages : 528
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Book Description
AppleScript in a Nutshell is the first complete reference to AppleScript, the popular programming language that gives both power users and sophisticated enterprise customers the important ability to automate repetitive tasks and customize applications. As the Macintosh continues to expand and solidify its base in the multimedia and publishing industries, AppleScript is the tool of choice on this platform for creating sophisticated time- and money-saving workflow applications (applets). These applets automate the processing and management of digital video, imaging, print, and web-based material. AppleScript is also gaining a foothold in scientific programming, as technical organizations adopt G4 CPU-based systems for advanced computing and scientific analysis. Finally, "power users" and script novices will find that AppleScript is a great everyday Mac programming tool, similar to Perl on Windows NT or Unix.In this well-organized and concise reference, AppleScript programmers will find: Detailed coverage of AppleScript Version 1.4 and beyond on Mac OS 9 and Mac OS X. Complete descriptions of AppleScript language features, such as data types, flow-control statements, functions, object-oriented features (script objects and libraries), and other syntactical elements. Descriptions and hundreds of code samples on programming the various "scriptable" system components, such as the Finder, File Sharing, File Exchange, Network scripting, Web scripting, Apple System Profiler, the ColorSync program, and the numerous powerful language extensions called "osax" or scripting additions.Most other AppleScript books are hopelessly out of date. AppleScript in a Nutshell covers the latest updates and improvements with practical, easy to understand tips, including: Using AppleScript as a tool for distributed computing, an exciting development that Apple Computer calls "program linking over IP." Programmers can now do distributed computing with Macs over TCP/IP networks, including controlling remote applications with AppleScript and calling AppleScript methods on code libraries that are located on other machines. Using the Sherlock find application to automate web and network searching. Insights on scripting new Apple technologies such as Apple Data Detectors, Folder Actions, Keychain Access, and Apple Verifier.AppleScript in a Nutshell is a high-end handbook at a low-end price--an essential desktop reference that puts the full power of this user-friendly programming language into every AppleScript user's hands.
Author: Bernard Friedman
Publisher: Courier Dover Publications
ISBN: 0486664449
Category : Mathematics
Languages : en
Pages : 338
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Book Description
Stimulating, thought-provoking study shows how abstract methods of pure mathematics can be used to systematize problem-solving techniques in applied mathematics. Topics include methods for solving integral equations, finding Green’s function for ordinary or partial differential equations, and for finding the spectral representation of ordinary differential operators.
Author: International Joint Conferences on Artificial Intelligence
Publisher: Elsevier
ISBN: 9780934613026
Category : Artificial Intelligence
Languages : en
Pages : 1368
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Book Description
Author: H. Gustav Mueller
Publisher: Plural Publishing
ISBN: 1597566713
Category : Medical
Languages : en
Pages : 473
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Book Description
Author: Antonella Cupillari
Publisher: Elsevier
ISBN: 0323990215
Category : Mathematics
Languages : en
Pages : 417
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Book Description
The Nuts and Bolts of Proofs: An Introduction to Mathematical Proofs, Fifth Edition provides basic logic of mathematical proofs and how they work. The book offers techniques for both reading and writing proofs, discusses techniques in proving if/then statements by contrapositive and proofing by contradiction, includes the negation statement, and/or, examines various theorems, such as the if and only-if, equivalence theorems, existence theorems, and the uniqueness theorems. In addition, the use of counter examples, mathematical induction, composite statements including multiple hypothesis and multiple conclusions, and equality of numbers are also covered. The book also provides mathematical topics for practicing proof techniques. Included here are the Cartesian products, indexed families, functions, and relations. The last chapter of the book provides review exercises on various topics. Undergraduate students in engineering and physical science will find this book accessible as well as invaluable. Jumps right in with the needed vocabulary to get students thinking like mathematicians from the beginning Offers a large variety of examples and problems with solutions for students to work through on their own Includes a collection of exercises without solutions to help instructors prepare assignments Contains an extensive list of basic mathematical definitions and concepts needed in abstract mathematics
Author: Daniel J. Velleman
Publisher: Cambridge University Press
ISBN: 110842418X
Category : Computers
Languages : en
Pages : 471
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Book Description
Helps students transition from problem solving to proving theorems, with a new chapter on number theory and over 150 new exercises.
