56,129 research outputs found

    Decorated Cospans

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    Let C\mathcal C be a category with finite colimits, writing its coproduct ++, and let (D,βŠ—)(\mathcal D, \otimes) be a braided monoidal category. We describe a method of producing a symmetric monoidal category from a lax braided monoidal functor F:(C,+)β†’(D,βŠ—)F: (\mathcal C,+) \to (\mathcal D, \otimes), and of producing a strong monoidal functor between such categories from a monoidal natural transformation between such functors. The objects of these categories, our so-called `decorated cospan categories', are simply the objects of C\mathcal C, while the morphisms are pairs comprising a cospan Xβ†’N←YX \rightarrow N \leftarrow Y in C\mathcal C together with an element 1β†’FN1 \to FN in D\mathcal D. Moreover, decorated cospan categories are multigraph categories---each object is equipped with a special commutative Frobenius monoid---and their functors preserve this structure.Comment: 25 page

    Wireless Biosensing Network for Drivers' Health Monitoring

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    Biosensors integrated into the vehicle controller area network are used for detecting symptoms such as anxiety, pain, and fatigue that may affect driving safety. The proposed system provides a flexible option for implementation in a diverse range of mass-produced automotive accessories without affecting the driver's movement

    Baryogenesis from Symmetry Principle

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    In this work, a formalism based on symmetry which allows one to express asymmetries of all the particles in terms of conserved charges is developed. The manifestation of symmetry allows one to easily determine the viability of a baryogenesis scenario and also to identity the different roles played by the symmetry. This formalism is then applied to the standard model and its supersymmetric extension, which constitute two important foundations for constructing models of baryogenesis.Comment: 15 pages, 1 figure, 3 tables. Slight modifications to match the published versio

    A ghost tour in Rouge = ιŠι­‚γ€Šθƒ­θ„‚ζ‰£γ€‹

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    This paper discusses how Fleur\u27s association to some of the worldwide ghost tours insinuates the haunting quality of the past, time, and the cityscape; in other words, it discusses how the tragic love story between Fleur and Twelfth Master can also be allegorically read as a tragic cultural story of Hong Kong. This discussion allegorically reads Fleur, Twelfth Master and Yuen as figures hauled by modernity
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