We classify ruled minimal surfaces in R3 with density ez. It is showed that there is no noncylindrical ruled minimal surface and there is a family of cylindrical ruled minimal surfaces in R3 with density ez. It is also proved that all translation minimal surfaces are ruled. AMS Subject Classification (2000): Primary 53C25; Secondary 53A10; 49Q05

Let B be a set of n unit balls in R3. We show that the combinatorial complexity of the space of lines in R3 that avoid all the balls of B is O(n3+ε), for any ε > 0. This result has connections to problems in visibility, ray shooting, motion planning, and geometric optimization.

In this note we consider the regularity of solutions to 3-D nematic liquid crystal flows, we prove that if either u ∈ Lq(0, T ;Lp(R3)), 2 q + 3 p ≤ 1, 3 < p ≤ ∞; or u ∈ Lα(0, T ;Lβ(R3)), 2 α + 3 β ≤ 2, 3 2 < β ≤ ∞, then the solution (u, d) is regular on (0, T ].

Let ξ be an analytic vector field in R3 with isolated singularity at the origin and having only hyperbolic singular points after a reduction of singularities π:M→R3. The union images by π local invariant manifolds those points, denoted Λ, is composed trajectories accumulating to 0∈R3. Assuming that there are no cycles nor polycycles on divisor π, together Morse-Smale type property non-resonance...

Peanut (Arachis hypogaea L.) is one of the five major oilseed crops cultivated worldwide. Salt stress is a common adverse condition for the growth of this crop in many countries and regions. In this study, physiological parameters and transcriptome profiles of peanut seedlings exposed to salt stress (250 mM NaCl for 4 days, S4) and recovery for 3 days (when transferred to standard conditions fo...

Human renal cell carcinoma (RCC) tissue and a cell line derived therefrom, SMKT-R3, showed markedly increased glycolipid sulfotransferase [cerebroside sulfotransferase (CST); EC 2.8.2.11] activity and accumulated sulfoglycolipids. Recently, we cloned a human CST cDNA from a SMKT-R3 cDNA library (K. Honke et al., J. Biol. Chem., 272: 4864-4868, 1997). In this study, we investigated the expressio...

We identified and quantified abundant iron-oxidizing bacteria (FeOB) at three iron-rich, metal-contaminated creek sites with increasing sediment pH from extremely acidic (R1, pH 2.7), to moderately acidic (R2, pH 4.4), to slightly acidic (R3, pH 6.3) in a former uranium-mining district. The geochemical parameters showed little variations over the 1.5 year study period. The highest metal concent...