Spaces of orderings provide an abstract framework in which to study spaces of orderings of formally real fields. Spaces of orderings of finite chain length are well understood [9] [12]. The Isotropy Theorem [12] and the extension of the Isotropy Theorem given in [13] are the main tools for reducing questions to the finite case, and these are quite effective. At the same time, there are many que...

LumaFluid is an interactive environment that explores new ways to stimulate emotional and social engagement through light. A vision system localizes people present in the LumaFluid square. Colored spotlights highlight each person and connections are drawn between neighboring visitors to underline and stimulate interpersonal communication. Two versions of the concept where deployed during the 20...

This paper reports on a system for computational analogymaking based on conceptual spaces. The system constructs conceptual spaces that express the relationships between concepts and uses them to build new associations. A case for this conceptual-space driven model of association making is made, and its advantages and disadvantages are discussed. A prototype space-construction system is detaile...

and Applied Analysis 3 ξ0,0,s,t (x) = ζ0,0,s,t = xs,t, ξ−1,0,s,t (x) = ζ−1,0,s,t (x) = xs−1,t, ξ0,−1,s,t (x) = ζ0,−1,s,t (x) = xs,t−1, ξ−1,−1,s,t (x) = ζ−1,−1,s,t (x) = xs−1,t−1. (7) Remark 1. If [Wσ]-limx = l, that is,

An associative information space contains all information relevant for a person organized using associations. Connecting such information spaces with each other allows the seamless integration of other’s information into our own. We believe this to be highly beneficial for group collaboration because it allows sharing of information in a very natural and efficient way without the need for a uni...

Symmetric spaces in the sense of E. Cartan supply major examples in Riemannian geometry. The study of their structure is connected closely to the theory of Lie groups. On these spaces, global analysis, particularly integration theory and theory of partial differential operators, arises in a canonical fashion by the requirement of geometric invariance. On R these two subjects are related to one ...

We extend the results of Mary Embry [9] on majorisation and range inclusion of bounded linear operators on Banach spaces to the case when one of the two operators is a convex process. An application in controllability is given.