The goal is legitimization of term-wise differentiation of L spectral expansions, so that computations producing a classical outcome are correct. We are fond of L expansions because they are what Plancherel gives. Typically, L expansions are not continuous, much less differentiable, so the issue cannot be proving classical differentiability, which does not hold. To say that L spectral expansion...

In this paper we address fundamental questions of growing conceptual spaces for autonomous sign users such as autonomous robots. Often concepts are considered prototypes in the perceptual space of a robot or animal. Here we advocate a more complex view starting from the purpose of using signs or pursuing sign acts. We argue that concepts actually serve a number of purposes and revisit technique...

The relationship between growth rate and environmental space is an unresolved issue in teleosts. While it is known from aquaculture studies that stocking density has a negative relationship to growth, the underlying mechanisms have not been elucidated, primarily because the growth rate of populations rather than individual fish were the subject of all previous studies. Here we investigate this ...

The paper explains two curatorial concepts that propose viable strategies for exhibiting new media art by presenting two exhibitions of ArtNetLab group as corresponding experimental case studies: Algorithms of Inclusion and Le Génie des Jardins. An aspect of the transformed relation to reality as a consequence of technological innovation is set for each model as the theme that a selection of ne...

Coordination is an important aspect of multi-agent systems (MAS). Although being decisive for many MAS applications, it is rarely modelled and implemented explicitly. Instead, coordination is realized implicitly and hard wired among other agent functionalities. Therefore, this work aims at providing an approach towards explicit coordination in MAS in which developers can focus more on what and ...

We show that certain embeddable homogeneous spaces of a quantum group that do not correspond to a quantum subgroup still have the structure of quantum quotient spaces. We propose a construction of quantum fibre bundles on such spaces. The quantum plane and the general quantum two-spheres are discussed in detail. 0. Introduction A homogeneous space X of a Lie group G may be always identified wit...

hadamard (or complete $cat(0)$) spaces are complete, non-positive curvature, metric spaces. here, we prove a nonlinear ergodic theorem for continuous non-expansive semigroup in these spaces as well as a strong convergence theorem for the commutative case. our results extend the standard non-linear ergodic theorems for non-expansive maps on real hilbert spaces, to non-expansive maps on had...