Generalized ABC theorems for non-Archimedean entire functions of several variables in arbitrary characteristic

We prove generalized ABC theorems for vanishing sums of non-Archimedean entire functions of several variables in arbitrary characteristic.Comment: 29 pages, references adde

Landau's theorem for holomorphic curves in projective space and the Kobayashi metric on hyperplane complements

We prove an effective version of a theorem of Dufresnoy: For any set of 2n+1 hyperplanes in general position in n-dimensional complex projective space, we find an explicit constant K such that for every holomorphic map f from the unit disc to the complement of these hyperplanes, the derivative of f at the origin measured with respect to the Fubuni-Study metric is bouned above by K. This result gives an explicit lower bound on the Royden function, i.e., the ratio of the Kobayashi metric on the hyperplane complement to the Fubini-Study metric. Our estimate is based on the potential-theoretic method of Eremenko and Sodin.Comment: 18 pages, 2 figures, Theorem 4.2 improved in this version. To appear in Pure and Applied Mathematics Quarterl

Some projective distance inequalities for simplices in complex projective space

We prove inequalities relating the absolute value of the determinant of n+1 linearly independent unit vectors in an n+1 dimensional complex vector space and the projective distances from the vertices to the hyperplanes containing the opposite faces of the simplices in complex projective n-space whose vertices or faces are determined by the given vectors.Comment: 11 pages, 1 figure, a few minor typos corrected in version

The Effects of Land Use and Contaminant Transport at a Proposed Reservoir Site in Smith County, Mississippi

This study investigates nutrient and contaminant transport within the Oakohay Creek watershed in order to (1) demonstrate the effects of land use on water quality, (2) model and predict the trophic state of the proposed reservoir given current nutrient loads, and (3) understand potential groundwater flow paths within the reservoir footprint. This study demonstrates that the current, large-scale poultry industry, though not statistically significant with a confidence of 95%, does have a negative impact on the surface water quality. The study also shows evidence for a eutrophic reservoir (TSI-P of 59.4 area-weighted mean) with an increased potential for nuisance algal growth in the northeast segment (TSI-P of 66.0). Dye tracing studies suggest the potential for groundwater flow out of the reservoir as a result of potential paleo-channels within the Glendon Limestone. This study concludes that the location on the Oakohay Creek is not suitable for the construction of a reservoir

Prospects for Conversion of Solar Energy Into Electrical Power

In 1972, the Solar Energy Panel took a broad look at solar energy across the whole field to see just what could be done with this energy source. Maybe the era of acquiring energy without regard to cost and without regard to consequences of using it is beginning to come to a close and maybe we ought to start looking at the newer sources of energy, even though we need every bit of energy we can get from every source. I am not trying to say we don\u27t need gas, oil, coal and nuclear energy. We are not going to use solar energy at the North Pole in the middle of winter and we are probably not going to use fossil fuel energy in places where we can get a reasonable return on solar energy. The Solar Energy Panel labored hard and really got this field in good perspective and I would like very much to show you what we came up with in that labor. First of all, we identify three areas where we thought that solar energy could have a major impact on future needs. First, thermal energy for buildings, that is the heating and cooling of hot water associated with dwellings, as well as commercial buildings. Due to the fact that there has been a great deal of work done in laboratories at most universities, we felt that this could be brought into commercial readiness (commercial readiness means that we could begin mass producing commercial heating units within five years). Clearly, it appears to be still further away and will take some more development to bring it about, so we estimate by the latter part of the 1970\u27s we will have good systems that will combine both heating and cooling

Lethal Temperatures of Diapausing \u3ci\u3eBathyplectes Curculionis\u3c/i\u3e (Hymenoptera: Ichneumonidae) a Parasite of the Alfalfa Weevil (Coleoptera: Curculionidae)

Seasonally acclimatized diapausing larvae of Bathyplectes curculionis (Thomson) were exposed to extreme hxgh and low temperatu~es to determine lethal temperatures for this stage of the parasite. The possible effects of relative humidity on high temperature mortality, mortality induced by repetitive exposures to sublethal temperatures, and differential survival between sexes, were also measured. The upper lethal temperature for summer larvae was 60°C (LDSo from 2 to 4 h), and the lower lethal temperature for winter larvae was -25°C (LDSo from 0 to % h). Summer larvae showed significantly increased mortality with repetitive exposures to sublethal temperatures (55OC) whereas winter larval mortality did not increase significantly with repetitive exposures to sublethal temperatures (-20°C). In winter experiments in which the sex of the emerging adult could be measured, no significant difference in survival was found between the sexes. Our results, in conjunction with published field data, strongly suggest that heat kill in the summer may be a significant mortality factor in warmer areas of the parasite\u27s range