We give a “second generation” exposition of the slope filtration theorem for modules with Frobenius action over the Robba ring, providing a number of simplifications in the arguments. Some of these are inspired by parallel work of Hartl and Pink, which points out some analogies with the formalism of stable vector bundles.

A 10- to 21-d chick bioassay was conducted to determine the absolute retention value (ARV) for 2 different defluorinated phosphates (DF-1 and DF-2) and a reagent grade dicalcium phosphate (DCP). The total and test P in excreta regressed on feed P levels were subjected to general straight-line (linear), 1-slope broken-line, 2-slope broken-line, and polynomial regression methods to find the best ...

Urban tunnels often easily become traffic bottlenecks. Once accidents occur, congestion, environmental pollution, personnel and property damage other problems restrict the sustainable development of tunnels. In order to reveal factors affecting incidence tunnel accidents, this paper quantitatively analyzes influence single geometric conditions control measures on in Jiaozhou Bay underwater tunn...

The present research study has been undertaken to carry out slope stability evaluation of the Jhika Gali landslide in Pakistan using GeoStudio. For this purpose, site geometry existing adjacent slided one was measured and samples were collected from site. in-situ moisture content 14% dry unit weight 18.63 kN/m3. Unconfined compression tests unconsolidated-undrained (UU) triaxial performed on re...

In this paper, we determine geometric information on slope lengths of a large class of knots in the 3–sphere, based only on dia-grammatical properties of the knots. In particular, we show such knots have meridian length strictly less than 4, and we find infinitely many families with meridian length approaching 4 from below. Finally, we present an example to show that, in contrast to the case of...