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Showing 1 to 4 of 4 for “"trivial extension"”.
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Complexity over Finite-Dimensional Algebras
… syzygy operator. More precisely, let T be the trivial extension of an iterated tilted algebra of type H. We prove that modules over the trivial extension T all have complexities either 0, 1, 2 or infinity, depending on the representation type of the hereditary algebra H. As part of the proof, …
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Towards verifiable adaptive control for safety critical applications
… on multiple inputs. The algorithm is a non-trivial extension of an existing technique for single input systems with saturation. Boundeness of all signals is proved for initial conditions in a compact region. In addition, the notion of a class of multi-dimensional saturation functions is …
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Approximate Bayesian Computation for Complex Dynamic Systems
… This easily implemented and computationally trivial extension of ABC SMC can substantially improve acceptance rates. This is demonstrated through a series of examples with simulated and real data, including the toggle switch example. Theoretical justification is also provided to explain why …
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Brownian dynamics simulation of soft matter with hydrodynamics: methods for constrained systems and shear processing of 2D materials
… burdens, a guaranteed feasible iterate, and trivial extension to new constraint types due to the lack of a preconditioner. We use PrCG to solve a mixed constraint problem with rigid body and immobile particles, comparing to the analytical solution at large separations. The remainder of this …