We consider smooth actions of lattices in higher-rank semisimple Lie groups on manifolds. define two numbers $r(G)$ and $m(G)$ associated with the roots system algebra a group $G$. If dimension manifold is smaller than $r(G)$, then we show action preserves Borel probability measure. at most $m(G)$, there quasi-invariant measure such that measurably isomorphic to relatively measure-preserving ov...

Salt stress inhibits plant growth and development. We investigated the importance of cell cycle regulation in mediating the primary root growth response of Arabidopsis to salt stress. When seedlings were transferred to media with increasing concentrations of NaCl, root growth rate was progressively reduced. At day 3 after transfer of seedlings to growth medium containing 0.5% NaCl the primary r...

The ability of roots to penetrate hard soil is important for crop productivity but specific root phenes contributing to this ability are poorly understood. Root penetrability and biomechanical properties are likely to vary in the root system dependent on anatomical structure. No information is available to date on the influence of root anatomical phenes on root penetrability and biomechanics. R...

Lepidium latifolium is an invasive exotic crucifer that is widely distributed in riparian zones and wetlands. In this study, anoxic carbohydrate metabolism and post-anoxic injury in the roots of L. latifolium seedlings were examined. A significant increase in the activity of the fermentative enzymes alcohol dehydrogenase (ADH) and lactate dehydrogenase (LDH) in roots occurred under anoxia and i...

Anyons obtained from a finite gauge theory have a computational power that depends on the symmetry group. The relationship between group structure and computational power is discussed in this paper. In particular, it is shown that anyons based on finite groups that are solvable but not nilpotent are capable of universal quantum computation. This extends previously published results to groups th...

Column-oriented indexes—such as projection or bitmap indexes—are compressed by run-length encoding to reduce storage and increase speed. Sorting the tables improves compression. On realistic data sets, permuting the columns in the right order before sorting can reduce the number of runs by a factor of two or more. For many cases, we prove that the number of runs in table columns is minimized if...