In the topos approach to quantum physics, a functor known as the spectral presheaf of a von Neumann algebra plays the role of a generalized state space. Mathematically, the spectral presheaf also provides an interesting generalization of the Gelfand spectrum, which is only defined for abelian von Neumann algebras, to the nonabelian case. A partial duality result, analogous to Gelfand duality, e...

This paper investigates the effect of a magnetic field on grinding processes Portland cement and axial tensile strength stone. It was found that dispersion composition is affected by in two modes. Moreover, without has subtle modes within small particles (0.1–0.4 microns). The with demonstrates an increase mode area decrease large (more than 1.6 microns), processing time. In this work, previous...

We consider the relative stability of time-invariant and time-varying unnormalized lattice filters. First, we consider a set of lattice filters whose reflection parameters i obey j ij i and provide necessary and sufficient conditions on the i that guarantee that each time-invariant lattice in the set has poles inside a circle of prescribed radius 1= < 1, i.e., is relatively stable with degree o...

Over the last 20 years stone fruit rootstock development has begun shifting from seedling to clonal types, many of interspecific origin. Publicly funded breeding programs have produced most of these rootstocks due to the time, cost, and risk associated with their development; however, private industry is emerging as a significant contributor of many of the newer rootstocks. Particularly notewor...

Three-phase flows through a pore network of Berea sandstone are studied numerically under critical interfacial tension conditions. Results show that the relative permeability each fluid increases as its own saturation increases. The specific length between wetting and nonwetting fluids monotonously decreases with increasing intermediate-wetting fluid, while other two lengths exhibit nonmonotono...

We generalize to universal algebra concepts originating from lambda calculus and programming in order first to prove a new result on the lattice of λ-theories, and second a general theorem of pure universal algebra which can be seen as a meta version of the Stone Representation Theorem. The interest of a systematic study of the lattice λT of λ-theories grows out of several open problems on lamb...

If the absolute number of poor people goes up, but the fraction of people in poverty comes down, has poverty gone up or gone down? The economist’s instinct, framed by population replication axioms that undergird standard measures of poverty, is to say that in this case poverty has gone down. But this goes against the instinct of those who work directly with the poor, for whom the absolute numbe...

PURPOSE To retrospectively assess the clinical utility in ureteroscopy (URS) planning of cumulative stone diameter (CSD), which does not account for stone width or depth, as a predictor of URS outcome and compare it with stone volume. MATERIALS AND METHODS Patients with renal stones treated at a single institute by flexible URS were retrospectively evaluated. To assess the clinical utility of...