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Defining things through binary opposition - male/female, familiar/foreign, life/death - forms the base of human thinking. Adding moral assessment to logic, we often represent binaries even as divisions into good and evil. Exclusions based on the division of Us vs. Them make their presence felt during any conflict, and become crucial in times of war. However, binary thinking is inherent also in peaceful, everyday conversation, when politics, social issues, ethnicities and religious identities ...

Binary principle (Linguistics) --- Binarism (Linguistics) --- Binarity (Linguistics) --- Binary opposition (Linguistics) --- Dichotomy precept (Linguistics) --- Linguistic analysis (Linguistics) --- Linguistics

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Absolutely fascinating from beginning to end. Ian Stewart, New Scientist This is a book rich in ideas. They seem to burst forth from almost every page ... I suspect that the author's hope that 'even the experts will find some new enlightenment here' will be realized. The Mathematics Teacher A very original book ... The lectures are self-contained for the graduate reader ... full of new ideas, and thus of real interest also to experts. Zentralblatt für Mathematik John Horton Conway's unique approach to quadratic forms was the subject of the Hedrick Lectures given by him in August of 1991 at the Joint Meetings of the Mathematical Association of America and the American Mathematical Society in Orono, Maine. This book presents the substance of those lectures. The book should not be thought of as a serious textbook on the theory of quadratic forms - it consists rather of a number of essays on particular aspects of quadratic forms that have interested the author. The lectures are self-contained and will be accessible to the generally informed reader who has no particular background in quadratic form theory. The minor exceptions should not interrupt the flow of ideas. The Afterthoughts to the Lectures contain discussion of related matters that occasionally presuppose greater knowledge.

Forms, Quadratic. --- Quadratic forms --- Diophantine analysis --- Forms, Binary --- Number theory --- Harmonic analysis

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This book is aimed at faculty, postgraduate students and industry specialists. It is both a text reference and a textbook that reviews and analyses the research output in this field of binary image processing. It is aimed at both advanced researchers as well as educating the novice to this area. The theoretical part of this book includes the basic principles required for binary digital image analysis. The practical part which will take an algorithmic approach addresses problems which find applications beyond binary digital line image processing.The book first outlines the theoretical frame

Image processing --- Traitement d'images --- Digital techniques --- Mathematics --- Techniques numériques --- Mathématiques --- Binary system (Mathematics) --- Digital techniques. --- Binary system (Mathematics). --- Techniques numériques --- Mathématiques --- ELSEVIER-B EPUB-LIV-FT --- Digital image processing --- Digital electronics --- Mathematics.

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Gender nonconformity --- Gender variance (Gender nonconformity) --- Genderqueer --- Non-binary gender --- TGNC (Transgender and gender nonconformity) --- Transgenderism --- Gender expression --- Gender identity

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This book deals with algorithmic problems concerning binary quadratic forms 2 2 f(X,Y)= aX +bXY +cY with integer coe?cients a, b, c, the mathem- ical theories that permit the solution of these problems, and applications to cryptography. A considerable part of the theory is developed for forms with real coe?cients and it is shown that forms with integer coe?cients appear in a natural way. Much of the progress of number theory has been stimulated by the study of concrete computational problems. Deep theories were developed from the classic time of Euler and Gauss onwards to this day that made the solutions ofmanyof theseproblemspossible.Algorithmicsolutionsandtheirproperties became an object of study in their own right. Thisbookintertwinestheexpositionofoneveryclassicalstrandofnumber theory with the presentation and analysis of algorithms both classical and modern which solve its motivating problems. This algorithmic approach will lead the reader, we hope, not only to an understanding of theory and solution methods, but also to an appreciation of the e?ciency with which solutions can be reached. The computer age has led to a marked advancement of algorithmic - search. On the one hand, computers make it feasible to solve very hard pr- lems such as the solution of Pell equations with large coe?cients. On the other, the application of number theory in public-key cryptography increased the urgency for establishing the complexity of several computational pr- lems: many a computer system stays only secure as long as these problems remain intractable.

Forms, Binary. --- Forms, Quadratic. --- Quadratic forms --- Diophantine analysis --- Forms, Binary --- Number theory --- Binary forms --- Algebra. --- Number theory. --- Computer science. --- Data encryption (Computer science). --- Number Theory. --- Mathematics of Computing. --- Cryptology. --- Mathematics --- Mathematical analysis --- Data encoding (Computer science) --- Encryption of data (Computer science) --- Computer security --- Cryptography --- Informatics --- Science --- Number study --- Numbers, Theory of --- Algebra --- Computer science—Mathematics.