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This paper presents a mathematical formulation of an energy management system (EMS) for isolated microgrids, which addresses… Expand We give a formalization of affine forms [1, 2] as abstract representations of zonotopes. We provide affine operations as well as… Expand Power flow studies are typically used to determine the steady state or operating conditions of power systems for specified sets… Expand Cryptography is about communication in the presence of an adversary. It encompasses many problems like encryption, authentication… Expand Affine arithmetic is a model for self-validated numerical computation that keeps track of first-order correlations between… Expand In interval computations, the range of each intermediate result r is described by an interval r. To decrease excess interval… Expand Affine arithmetic (AA) is a model for self-validated computation which, like standard interval arithmetic (IA), produces… Expand Displacement mapping is a technique for applying fine geometric detail to a simpler base surface. The displacement is often… Expand Procedural shaders have become popular tools for describing surface reflectance functions and other material properties. In… Expand We discuss adaptive enumeration and rendering methods for implicit surfaces, using octrees computed with affine arithmetic, a new… Expand