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The aim of this paper is to generalize several aspects of the recent work of LeclercThibon and Varagnolo-Vasserot on the canonical bases of the level 1 q-deformed Fock spaces due to Hayashi. Namely, we define canonical bases for the higher-level qdeformed Fock spaces of Jimbo-Misra-Miwa-Okado and establish a relation between these bases and (parabolic) Kazhdan-Lusztig polynomials for the affine...

A Banach space X has the 2-summing property if the norm of every linear operator from X to a Hilbert space is equal to the 2-summing norm of the operator. Up to a point, the theory of spaces which have this property is independent of the scalar eld: the property is self-dual and any space with the property is a nite dimensional space of maximal distance to the Hilbert space of the same dimensio...

This research employs dielectrophoresis (DEP) force to separate and manipulate bio-particles. Exchanging electro-field attempts to separate different kinds of bio-particles (yeast, cells, micropolystyrene beads, or virus), and to manipulate particles to move simultaneously. The purpose of manipulation is moving bio-particles to next station on an integrated chip. In order to simplify experiment...