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The Bertini software package provides a powerful toolset for the numerical solution of systems of polynomial equations. This book provides both a course, with numerous examples, on the use of Bertini to compute solutions, and a complete reference guide with documentation on syntax and usage options. It describes the latest advances in the field, including algorithms for intersecting and projecting algebraic sets, methods for treating singular sets, the nascent field of real numerical algebraic geometry, and applications to large polynomial systems arising from differential equations. This...

This book examines the tangled responsibilities of states, companies, and individuals surrounding human rights in the digital age. Digital technologies have a huge impact – for better and worse – on human lives; while they can clearly enhance some human rights, they also facilitate a wide range of violations. States are expected to implement efficient measures against powerful private companies, but, at the same time, they are drawn to technologies that extend their own control over citizens. Tech companies are increasingly asked to prevent violations committed online by their users, yet...