Abstract Finitary monads on Pos are characterized as precisely the free-algebra of varieties algebras. These classes ordered algebras specified by inequations in context. Analogously, finitary enriched characterized: here we work with coherent which means that their operations monotone.

When perception by touch is couched in terms of movement, perception of heaviness can be understood as perception of difficulty to move. This experiment further investigated this proposal as well as the corollary proposal that perception of lightness may be understood as perception of ease to move. Blindfolded participants wielded weighted objects and rated how heavy or light each object felt a...

In [5] we define a stationary tangent process, or a locally optimal stationary approximation, to a real non-stationary smooth Gaussian process. This paper extends the idea by constructing a discrete tangent – a “locally” optimal stationary approximation – for a discrete time, real Gaussian process. Analogously to the smooth case, our construction relies on a generalization of the recursion form...

Furstenberg-Weiss have extended Szemerédi’s theorem on arithmetic progressions to trees by showing that a large subset of the tree contains arbitrarily long subtrees. We study higher dimensional versions analogously extend multidimensional Szemerédi demonstrating existence certain structures in subsets cartesian product trees.

For a topological dynamical system we characterize the decomposition of state space induced by fixed corresponding Koopman operator. this purpose, introduce hierarchy generalized orbits and obtain finest into absolutely Lyapunov stable sets. Analogously to measure-preserving case, yields that is topologically ergodic if only its operator one-dimensional.

The understanding the thermodynamic behavior of black holes using concepts chemistry will be discussed here. To establish complete correspondence between thermodynamics an ordinary system and holes, recent proposals suggest identification mass a hole as chemical enthalpy system. Similarly, negative cosmological constant, surface gravity, horizon area is identified pressure, temperature, entropy...

Single-photon stimulated radiative interactions are universally symmetric relative to emission and absorption. We point out that certain multiphoton stimulated processes, whose completion is dependent on the spontaneous emission of at least one photon, do not behave analogously. The broken symmetry found in such cases invalidates simple correlations between population inversion and laser gain. ...

Human understanding of the physical world frequently derives from the narratives we construct about it. Analogously, we can incorporate narratives in virtual spaces to give visitors a sense of place and purpose. In this paper we describe two projects using interactive characters as a medium for story building and storytelling within and about the digital places they inhabit.

We study different computable versions of Baire’s Category Theorem in computable analysis. Similarly, as in constructive analysis, different logical forms of this theorem lead to different computational interpretations. We demonstrate that, analogously to the classical theorem, one of the computable versions of the theorem can be used to construct interesting counterexamples, such as a computab...

The paper addresses the problem of dynamic feedback linearization of discrete-time nonlinear control systems. Analogously to the continuous-time case, necessary and sufficient conditions for flatness property are obtained and showed to be equivalent to previously known results on feedback linearizability by endogenous dynamic feedback. An example is added to illustrate the results.