Here, the anisotropic \begin{document}$ (p, q) $\end{document}-Laplacian style='text-indent:20px;'> \begin{document}$ - \sum\limits_{i = 1}^N\frac{\partial}{\partial x_i}\left( \left|\frac{\partial u}{\partial x_i}\right|^{p_i-2}\frac{\partial x_i}\right) x_i}\ri...

Most walking assist systems reported are not ready for using in real-world environment; where there are frequent perturbations .Our ultimate goal is to realize artificial reflexes to real-world walking support systems. This goal needs both qualitative and quantitative understanding of human reflexive mechanism. In this study we built a human walking simulator consisting of a Central Pattern Gen...

In this paper, we study the dependence of the unique positive solution of the periodic boundary value problem u00 þ qu 1⁄4 wðtÞu; 0 < s < 1 and q – 0; uð0Þ 1⁄4 uð1Þ; u0ð0Þ 1⁄4 u0ð1Þ on the parameter q as q ? 0. We show that this solution u(t;q) is infinitely differentiable in q and has singularity in the order of q a with a = 2/(1 s) as q ? 0. Furthermore, the graph of u(t;q) has fluctuation in...

In this paper we continue our investigations. begun in the previous paper, of describing the solution sets of constrained extremum problems inf Au). l&l-‘(p) (*) where fand f are twice continuously differentiable functionals on a reflexive Banach space V, and r-‘(p) denotes the level set of the functional f with value p E R. Considering p as a parameter in (*) we obtain results concerning the c...

We introduce reflexive polytopes of index l as a natural generalisation of the notion of a reflexive polytope of index 1. These l-reflexive polytopes also appear as dual pairs. In dimension two we show that they arise from reflexive polygons via a change of the underlying lattice. This allows us to efficiently classify all isomorphism classes of l-reflexive polygons up to index 200. As another ...

Editorial Summary In her contribution »Reflexive, Reflexivity, and the Concept of Reflexive Design« Margitta Buchert frames notion reflexive design research, pitting various underlying concepts against one another forming framework for research. As such, she emphasizes punctuated distinction reflection as an integrated component research reflexion alignment attitude. this sense highlights recip...

Reflexive saccades (fast eye movements) and voluntary saccades activate overlapping parts of the oculomotor system. It is assumed that striatal dopamine depletion in Parkinson's disease (PD) only affects the voluntary saccadic system and that the often-reported facilitation of the reflexive saccadic system in PD is secondary to impairment of the voluntary saccadic system. If this assumption is ...

Resolution proof systems for quantified Boolean formulas (QBFs) provide a formal model for studying the limitations of state-of-the-art search-based QBF solvers that use these systems to generate proofs. We study a proof system that combines two proof systems supported by the solver DepQBF: Q-resolution with generalized universal reduction according to a dependency scheme and long distance Q-re...

For $p,q\in [1,\infty)$, we study the isomorphism problem for $p$- and $q$-convolution algebras associated to locally compact groups. While it is well known that not every group can be recovered from its von Neumann algebra, show this case $\mathrm{CV}_p(G)$ of $p$-convolvers $\mathrm{PM}_p(G)$ $p$-pseudomeasures, $p\neq 2$. More generally, if isometrically isomorphic $\mathrm{CV}_q(H)$, with $...