We introduce observation frames as an extension of ordinary frames. The aim is to give an abstract representation of a mapping from observable predicates to all predicates of a specific system. A full subcategory of the category of observation frames is shown to be dual to the category of F! topological spaces. The notions we use generalize those in the adjunction between frames and topological...

The dual of the James Tree space is asymptotically uniformly convex.

We prove that two unital dual operator algebras A,B are stably isomorphic if and only if they are ∆-equivalent [7], if and only if they have completely isometric normal representations α, β on Hilbert spaces H,K respectively and there exists a ternary ring of operators M ⊂ B(H,K) such that α(A) = [M∗β(B)M]−w and β(B) = [Mα(A)M∗]−w .

In this paper, the Dual Darboux rotation axis for timelike dual space curve in the semi-dual space D 1 is decomposed in two simultaneous rotation. The axis of these simultaneous rotations are joined by a simple mechanism. This study is original corresponding in the semi-dual space D 1 of the article entitled On the Dual Darboux Rotation Axis of the Dual Space Curve [6]. Mathematics Subject Clas...

Introduction A newly introduced compatible dual-echo arteriovenography (CODEA) is a technique for simultaneous acquisition of time-of-flight (TOF) MR angiogram (MRA) and blood oxygenation level-dependent (BOLD) MR venogram (MRV). The technique improved the previous dual-echo MRA/MRV technique (1), by maximally separating the K-space center regions for the two echoes achieved through an echo-spe...

background: a few studies have investigated the effect of the activation mode of adhesive systems on bond strength of fi ber posts to root canal dentin. this study investigated the push-out bond strengths of a glass fi ber post to different root canal regions with the use of two adhesives with light- and dual-cure polymerization modes. materials and methods: in this in vitro study, 40 maxillary...

In this paper, we propose a framework using local models for multi-objective optimization to guide the search heuristic in both the decision and objective spaces. The localization is built using a limited number of adaptive spheres in the decision space. These spheres are usually guided, using some direction information, in the decision space towards the areas with non-dominated solutions. We u...