Two nonsymmetric search directions for semideenite programming, the XZ and ZX search directions, are proposed. They are derived from a nonsymmetric formulation of the semideenite programming problem. The XZ direction corresponds to the direct linearization of the central path equation XZ = I; while the ZX direction corresponds to ZX = I. The XZ and ZX directions are well deened if both X and Z ...

(R,R)ZX-5 is a NO regulatory compound, which could significantly increase choroidal blood flow in New Zealand rabbit. The aim of this paper is to investigate the molecular mechanism of (R,R)ZX-5 promoting NO production. Besides this, we also investigated the antiangiogenic activity of (R,R)ZX-5. Analysis of Western blot showed that (R,R)ZX-5 up-regulated the expression of Akt, p-Akt (Thr473), e...

PURPOSE Oxidative damage and growth factors are implicated in the pathogenesis of retinopathy in diabetes. Recent studies have shown that two dietary carotenoids, lutein and zeaxanthin (Zx), that are specifically concentrated within ocular tissues, may play important roles in maintaining their integrity. This study is to evaluate the potential protective effects of Zx against retinal oxidative ...

This paper quantifies the spatial distribution of zooxanthellae (ZX) and zoochlorellae (ZC), two algal symbionts common to the temperate anemone, Anthopleura xanthogrammica, in relation to shore height. Anemones in tidepools and crevices had varying algal proportions: >0.90 ZC (green anemones), 0.10 to 0.90 ZX (mixed), and >0.90 ZX (brown). Brown anemones are primarily found in the high interti...

The ZX calculus is a diagrammatic language for quantum mechanics and quantum information processing. We prove that the ZX-calculus is not complete for the Clifford+T quantum mechanics. The completeness for this fragment has been stated as one of the main current open problems in categorical quantum mechanics [8]. The ZX calculus was known to be incomplete for quantum mechanics [7], on the other...

ZX-calculus is a graphical language for quantum computing which complete in the sense that calculation matrices can be done purely diagrammatic way. However, all previous universally axiomatisations of have included at least one rule involving trigonometric functions such as sin and cos makes it difficult application purpose. In this paper we give an algebraic axiomatisation instead there are o...

The ZX-calculus is a powerful diagrammatic language for quantum mechanics and quantum information processing. We prove that its π4 -fragment is not complete, in other words the ZXcalculus is not complete for the so called "Clifford+T quantum mechanics". The completeness of this fragment was one of the main open problems in categorical quantum mechanics, a programme initiated by Abramsky and Coe...

BACKGROUND Reports of triple combination therapy for neovascular age-related macular degeneration (AMD) suggest a benefit, as do reports for zeaxanthin. An interventional comparative study was thus undertaken to evaluate the efficacy of triple combination therapy with and without zeaxanthin, as well as the economic viability of the therapies. METHODS The cases of 543 consecutive eyes of 424 p...

We show that pivoting property of graph states cannot be derived from the axioms of the ZX-calculus, and that pivoting does not imply local complementation of graph states. Therefore the ZX-calculus augmented with pivoting is strictly weaker than the calculus augmented with the Euler decomposition of the Hadamard gate. We derive an angle-free version of the ZX-calculus and show that it is compl...