We have constructed TATIN-PIC, a collaborative work environment consisting of an interactive tabletop and an interactive board, in order to explore phases beyond brainstorming in preliminary design. In this article, we present the TATIN-PIC platform, as well as our evaluation methodology which focuses on crucial face-to-face communication around the interactive tabletop.

Public spaces are interactive by the very fact that they are designed to be looked at, walked around, and used by multitudes of people on a daily basis. Architects design such spaces to create physical scenarios for people to interact with, but this interaction will usually be one sidedthe physical space does not usually change or react. In this paper we present three interaction design project...

We show that there exists a strong uniform embedding from any proper metric space into any Banach space without cotype. Then we prove a result concerning the Lipschitz embedding of locally finite subsets of Lp-spaces. We use this locally finite result to construct a coarse bi-Lipschitz embedding for proper subsets of any Lp-space into any Banach space X containing the l n p ’s. Finally using an...

The word "place" is curiously wide in its application, going beyond strict spatiality. A traditional town is a place, the right half of that field is a place, the vacuum cleaner has its place in the closet, the children's place is upstairs, the woman's place was in the home, the third line on the form is the place for this year's income, and as we grow up we try to find our place within the mes...

In the study of topology, we are often interested in understanding and classifying the internal structure of topological spaces. Algebraic topology is the application of abstract algebra to topology in order to further identify the structure of topological spaces by developing a correspondence between topological spaces and certain groups called homotopy groups. In this paper, we will examine t...

We present the newly emerging research field of Computer Supported Collaborative Sports (CSCS). By applying innovative input and output technologies, it enables players to experience sportive activities in a shared computerized environment. Important dimensions in the design space of CSCS applications are discussed. Finally we present the FlyGuy, a prototypical realization of a CSCS device.

In this article, we propose the concept of meta-User Interface (meta-UI) as the set of functions (along with their user interfaces) that are necessary and sufficient to control and evaluate the state of interactive ambient spaces. This set is meta-, since it serves as an umbrella beyond the domain-dependent services that support human activities in an ambient interactive space. They are User In...

We study Ramsey-theoretic properties of several natural classes of finite ultrametric spaces, describe the corresponding Urysohn spaces and compute a dynamical invariant attached to their isometry groups.

We study the classes of homogeneous polynomials on a Banach space with unconditional Schauder basis that have unconditionally convergent monomial expansions relative to this basis. We extend some results of Matos, and we show that the homogeneous polynomials with unconditionally convergent expansions coincide with the polynomials that are regular with respect to the Banach lattices structure of...

1 Measure Theory 2 1.1 σ-Fields . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.2 Dynkin Systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.3 Probability Measures . . . . . . . . . . . . . . . . . . . . . . . . . 6 1.4 Independence . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 1.5 Measurable Maps and Induced Measures . . . . . . . . . . . . . ....