Results 121 to 130 of about 1,442,152 (332)
Piecewise smoothness for linear elliptic systems with piecewise smooth coefficients
, 2022 Li and Vogelius, and Li and Nirenberg obtained piecewise $C^{1,γ}$-regularity for linear elliptic problems with piecewise $C^γ$-coefficients which come from composite materials. In this paper, we obtain piecewise $C^{m+1,γ}$-regularity for linear elliptic systems with piecewise $C^{m,γ}$-coefficients which also come from composite materials.
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Equilibrium Propagation for Dissipative Dynamics
Advanced Intelligent Systems, EarlyView.This work develops local learning rules for damped linear dynamical systems, including mechanical structures and resistor‐inductor‐capacitor (RLC) circuits, by leveraging an effective action formulation. It demonstrates how physical systems can autonomously compute gradients and learn temporal patterns, enabling applications such as sound ...
Marc Berneman, Daniel Hexner
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On a Gauss-Kuzmin type problem for piecewise fractional linear maps with explicit invariant measure
International Journal of Mathematics and Mathematical Sciences, 2000 A random system with complete connections associated with a piecewise fractional linear map with explicit invariant measure is defined and its ergodic behaviour is investigated. This allows us to obtain a variant of Gauss-Kuzmin type problem for the
C. Ganatsiou
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Convex superposition in piecewise-linear systems
Journal of Mathematical Analysis and Applications, 1963 AbstractPiecewise-linear systems of the type that arise in relay servomechanisms or problems involving Coulomb friction, which are usually regarded as nonlinear, are shown here to exhibit linear behavior in some circumstances. Specifically, for certain sets of input signals (or forcing functions) and associated responses, the responses are linear in ...
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Advanced Intelligent Systems, EarlyView.An instance‐level, model‐agnostic explanation of class differentiation is introduced through SHAP‐LCD, linking probability shifts to feature‐wise Shapley contributions. The method operates on tabular and image data and is released in a fully reproducible implementation, offering a transparent way to examine, at each instance, why predictive models ...
Roxana M. Romero Luna +2 more
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Piecewise Linear Control Systems
, 1999 This thesis treats analysis and design of piecewise linear control systems. Piecewise linear systems capture many of the most common nonlinearities in engineering systems, and they can also be used for approximation of other nonlinear systems. Several aspects of linear systems with quadratic constraints are generalized to piecewise linear systems with ...
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Advanced Intelligent Systems, EarlyView.A unified, reusable modeling pipeline enables task‐driven design of soft robots across actuator families and task scenarios. High‐fidelity simulations are compressed into compact pseudo‐rigid‐body joint surrogates, while a design‐conditioned meta‐model generates new surrogates from geometry parameters without rerunning finite element method.
Yao Yao, David Howard, Perla Maiolino
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Direct solution of piecewise linear systems
Theoretical Computer Science, 2016 Let $S$ be a real $n\times n$ matrix, $z,\hat c\in \mathbb R^n$, and $| z|$ the componentwise modulus of $z$. Then the piecewise linear equation system $$z-S| z| = \hat c$$ is called an \textit{absolute value equation} (AVE). It has been proven to be equivalent to the general \textit{linear complementarity problem}, which means that it is NP hard in ...
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Accounting for animal health in efficiency analysis: An application to Swedish dairy farms
American Journal of Agricultural Economics, EarlyView.Abstract Poor animal health is a central concern in modern livestock production. Despite the necessity to incorporate animal health in efficiency analysis, the theoretical and empirical developments are limited on this subject. This article appropriately characterizes the axiomatic properties of animal health within a production framework.
Frederic Ang +3 more
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Asia-Pacific Journal of Chemical Engineering, EarlyView.ABSTRACT Bamboo charcoal–based extruded activated carbons were prepared via molding, pre‐oxidation, carbonization, and steam activation, with coal tar, phenolic resin, and their mixtures employed as binders based on practical availability and technical feasibility. This study focused on the regulatory effects of binders on the mechanical properties and
Huitao Jiang, Songlin Zuo
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