This book arose out of original research on the extension of well-established applications of complex numbers related to Euclidean geometry and to the space-time symmetry of two-dimensional Special Relativity. The system of hyperbolic numbers is extensively studied, and a plain exposition of space-time geometry and trigonometry is given. Commutative hypercomplex systems with four unities are studied and attention is drawn to their interesting properties.
This book provides an original introduction to the geometry of Minkowski space-time. A hundred years after the space-time formulation of special relativity by Hermann Minkowski, it is shown that the kinematical consequences of special relativity are merely a manifestation of space-time geometry. The book is written with the intention of providing students (and teachers) of the first years of University courses with a tool which is easy to be applied and allows the solution of any problem of relativistic kinematics at the same time. The book treats in a rigorous way, but using a non-sophisticated mathematics, the Kinematics of Special Relativity. As an example, the famous "Twin Paradox" is completely solved for all kinds of motions. The novelty of the presentation in this book consists in the extensive use of hyperbolic numbers, the simplest extension of complex numbers, for a complete formalization of the kinematics in the Minkowski space-time. Moreover, from this formalization the understanding of gravity comes as a manifestation of curvature of space-time, suggesting new research fields.
This is an open access title available under the terms of a CC BY-NC-ND 4.0 International licence. It is free to read at Oxford Scholarship Online and offered as a free PDF download from OUP and selected open access locations. This book provides the first ever large-scale comparative treatment of there sentences (there copula NP), in over 100 Italo-Romance and Sardinian dialects spoken in Italy. It comprises detailed discussions of focus structure, predication and argument realization, definiteness effects, and the linking between semantics and syntax in there sentences, advancing novel proposals in each case. The authors test influential hypotheses on existential constructions against first-hand dialect evidence; they argue that existential and locative there sentences differ in focus structure and semantics, even though they display similar morphosyntactic features. The volume also provides the historical background of Romance there sentences, relying on the findings of the analysis of a substantial corpus of early Italo-Romance vernacular texts. Couched in the framework of Role and Reference Grammar, the discussion fully engages with the vast available literature on existentials and locatives, thus being of interest to linguists of any theoretical persuasion. Through the investigation of existentials and locatives, the volume addresses key issues in linguistic theory, while offering an invaluable source of data for research on the Romance languages and a model in fieldwork-based microvariational analysis.
A provocative and bracing send-up of modern masculinity, from the author of Class and The Story of My Purity Marcello, an editor and poet, is on the brink of his forties. Like everyone in his life, including his sister-in-law, he’s writing a novel. This novel. This novel will be about women. Love. Growing older. Maybe even taking responsibility. But unfortunately for Marcello, the women in his life resist definition. They flit and flicker constantly between archetype and actuality: sirens and saviors, subordinates and savants, vixens and villains. So Marcello cannot write plainly about love. Instead, he tries to write into the complexities of his many relationships: Eleonora, the junior editor, his former protegeé and sometime lover; Barbara, his claustrophobic girlfriend; his estranged gay sister; his elegant mother. Fresh, frank, and painfully cool, Francesco Pacifico’s The Women I Love dives nakedly into gender, sex, and power. Set in a vivid and alcoholic Italy, it acknowledges and subverts the narrow ways canonical male writers gaze at, and somehow fail to see, women—illuminating the possibility of equity between people in love, in bed, in work, and in life.
This book arose out of original research on the extension of well-established applications of complex numbers related to Euclidean geometry and to the space-time symmetry of two-dimensional Special Relativity. The system of hyperbolic numbers is extensively studied, and a plain exposition of space-time geometry and trigonometry is given. Commutative hypercomplex systems with four unities are studied and attention is drawn to their interesting properties.
This book provides an original introduction to the geometry of Minkowski space-time. A hundred years after the space-time formulation of special relativity by Hermann Minkowski, it is shown that the kinematical consequences of special relativity are merely a manifestation of space-time geometry. The book is written with the intention of providing students (and teachers) of the first years of University courses with a tool which is easy to be applied and allows the solution of any problem of relativistic kinematics at the same time. The book treats in a rigorous way, but using a non-sophisticated mathematics, the Kinematics of Special Relativity. As an example, the famous "Twin Paradox" is completely solved for all kinds of motions. The novelty of the presentation in this book consists in the extensive use of hyperbolic numbers, the simplest extension of complex numbers, for a complete formalization of the kinematics in the Minkowski space-time. Moreover, from this formalization the understanding of gravity comes as a manifestation of curvature of space-time, suggesting new research fields.
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