We construct several non-trivial examples of CAT(1) spaces by using the idea of free construction.

This paper illustrates how the model of computational media can be introduced in the field of higher education. In our practical work, we identified four distinct design spaces for learning media and named them as follows: artifact design space, agent design space, process design space, and business model design space. We have applied the design space approach in the UNIVERSAL project, an open,...

Our main result in this paper is that a Banach space X embeds into L, if and only if l~(X) embeds into Lo; more generally if 1 _-< p < 2, X embeds into Lp if and only if lp (X) embeds into L~,.

The highly influential framework of conceptual spaces provides a geometric way of representing knowledge. Instances are represented by points in a high-dimensional space and concepts are represented by regions in this space. Our recent mathematical formalization of this framework is capable of representing correlations between different domains in a geometric way. In this paper, we extend our f...

We report on the assembly of gold nanoparticle (AuNPs) superlattices at liquid/vapor interface and in bulk their suspensions. Interparticle distances assemblies are achieved multiple length scales by varying chain lengths surface grafted AuNPs polyethylene glycol (PEG) with molecular weights range 2000–40,000 Da. Crystal structures lattice constants both 2D 3D determined synchrotron-based surfa...

we study algebraic properties of categories of merotopic, nearness, and filter algebras. we show that the category of filter torsion free abelian groups is an epireflective subcategory of the category of filter abelian groups. the forgetful functor from the category of filter rings to filter monoids is essentially algebraic and the forgetful functor from the category of filter groups to the cat...