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The starting point for this project is the article of Kathryn Hess [11]. In this article, a homotopic version of monadic descent is developed. In the classical setting, one constructs a category D(𝕋) of coalgebras in the Eilenberg-Moore category of ...
K-Theory was originally defined by Grothendieck as a contravariant functor from a subcategory of schemes to abelian groups, known today as K0. The same kind of construction was then applied to other fields of mathematics, like spaces and (not necessarily c ...
The risk minimization of carbon dioxide (CO2) storage relies to some extent on well integrity assurance. While chemical reactions between the constitutive materials of the wellbore - such as cement - and stored CO 2 do not jeopardize the efficiency of a de ...
We describe a simple and intuitive policy gradient method for improving parametrized quadrocopter multi-flips by combining iterative experiments with information from a first-principles model. We start by formulating an N-flip maneuver as a five-step primi ...
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Pressurized fluid-distribution networks are strategic elements of infrastructure. In the case of fresh-water distribution networks, advanced sensor-based diagnostic methodologies have the potential to provide enhanced management support. Since a significan ...
Given a monad T on Set whose functor factors through the category of ordered sets with left adjoint maps, the category of Kleisli monoids is defined as the category of monoids in the hom-sets of the Kleisli category of T. The Eilenberg-Moore category of T ...
Object representations within both the auditory and visual systems include partially segregated networks for living and man-made items. Presently, it is unresolved whether/how multisensory interactions impact access to and discrimination of these represent ...
In homological algebra, to understand commutative rings R, one studies R-modules, chain complexes of R-modules and their monoids, the differential graded R-algebras. The category of R-modules has a rich structure, but too rigid to efficiently work with hom ...
This paper presents Combine, a distributed directory protocol for shared objects, designed for large-scale distributed systems. Directory protocols support move requests, allowing to write the object locally, as well as lookup requests, providing a read-on ...
Based on truncated inverse filtering, a theory for deconvolution of complex fields is studied. The validity of the theory is verified by comparing with experimental data from digital holographic microscopy (DHM) using a high-NA system (NA=0.95). Comparison ...
