This paper proposes an approach to analyzing the structure of common information spaces. The approach rests on three ideas. First, information spaces can usefully be described in terms of abstract relations used by participants to organize their work and interaction with one another. Here, I focus on part-whole relations as an example. Second, coordination mechanisms (in the sense of Schmidt an...

(Bi)orthogonal (multi)wavelets on the real line have been extensively studied and employed in applications with success. A lot of problems are defined bounded intervals or domains. Therefore, it is important both theory application to construct all possible wavelets some desired properties from (bi)orthogonal line. Vanishing moments compactly supported key property for sparse wavelet representa...

we study the notion of harmonicity in the sense of symplectic geometry, and investigate the geometric properties of harmonic thom forms and distributional thom currents, dual to different types of submanifolds. we show that the harmonic thom form associated to a symplectic submanifold is nowhere vanishing. we also construct symplectic smoothing operators which preserve the harmonicity of distri...