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.

We study weakly continuously Urysohn spaces, which were introduced in [Z]. We show that every weakly continuously Urysohn w∆-space has a base of countable order, that separable weakly continuously Urysohn spaces are submetrizable, hence continuously Urysohn, that monontonically normal weakly continuously Urysohn spaces are hereditarily paracompact, and that no linear extension of any uncountabl...