Any non-complete orthonormal system in a Hilbert space can be transformed into basis by small perturbations.

Automatic assembly is a promising research topic in 3D computer vision and robotics. Existing works focus on generating (e.g., IKEA furniture) from scratch with set of parts, namely part assembly. In practice, there are higher demands for the robot to take over finish an incomplete half-assembled off-the-shelf toolkit, especially human-robot multi-agent collaborations. Compared assembly, it mor...

We introduce a new type of dcpo-completion of posets, called D-completion. For any poset P , the D-completion exists, and P and its Dcompletion have the isomorphic Scott closed set lattices. This completion is idempotent. A poset P is continuous (algebraic) if and only if its D-completion is continuous(algebraic). Using the D-completion, we construct the local dcpocompletion of posets, that rev...

We consider the task of collaborative preference completion: given a pool of items, a pool of users and a partially observed item-user rating matrix, the goal is to recover the personalized ranking of each user over all of the items. Our approach is nonparametric: we assume that each item i and each user u have unobserved features xi and yu, and that the associated rating is given by gupfpxi, y...

introduction: we have recently reported the presence of two potassium currents with 598 and 368 ps conductance in the rough endoplasmic reticulum (rer) membrane. the 598 ps channel was voltage dependent and atp sensitive. however, the 368 ps channel was rarely observed and its identity remained obscure. since cationic channels in intracellular organelles such as mitochondria and rer play import...