On Rubin's variant of the p-adic Birch and Swinnerton-Dyer conjecture II

Let E be an elliptic curve over Q with complex multiplication by the ring of integers of an imaginary quadratic field K. In 1991, by studying a certain special value of the Katz two-variable p-adic L-function lying outside the range of $p$-adic interpolation, K. Rubin formulated a p-adic variant of the Birch and Swinnerton-Dyer conjecture when $E(K)$ is infinite, and he proved that his conjecture is true for E(K) of rank one. When E(K) is finite, however, the statement of Rubin's original conjecture no longer applies, and the relevant special value of the appropriate $p$-adic L-function is equal to zero. In this paper we extend our earlier work and give an unconditional proof of an analogue of Rubin's conjecture when E(K) is finite.Comment: Final version. To appear in Mathematische Annalen

Toxic effect of Raphia vinifera on fish leech (Piscicola geometra)

This study examines acute toxicity of Raphia vinifera on fish leech, Piscicola geometra. The leeches with a mean total length of (TL) 4.2+1.0cm were exposed to various concentrations of both crude powdered and ethanolic extracts of the botanical. Median lethal concentration (LC50) was determined with static-renewal tests using logarithmic and arithmetic graphic methods. The LC50 (for 96 hours of crude powdered (aqueous) extracts of the botanical on Piscicola geometra was 1.10 ppm arithmetically and 1.14ppm logarithmically. The 95% confidence limits was 0.10ppm arithmetically and 0.12ppm logarithmically. The LC50 of ethanolic extract of the poison at 96-h was 0.5ppm arithmetically and 0.48ppm logarithmically. The 95% confidence limits were less than 0.10ppm. The use of extracts of R. vinifera in the control of leeches in fish ponds is discusse

Anticyclotomic Iwasawa theory of CM elliptic curves

We study the Iwasawa theory of a CM elliptic curve $E$ in the anticyclotomic $\mathbf{Z}_p$-extension of the CM field, where $p$ is a prime of good, ordinary reduction for $E$. When the complex $L$-function of $E$ vanishes to even order, the two variable main conjecture of Rubin implies that the Pontryagin dual of the $p$-power Selmer group over the anticyclotomic extension is a torsion Iwasawa module. When the order of vanishing is odd, work of Greenberg shows that it is not a torsion module. In this paper we show that in the case of odd order of vanishing the dual of the Selmer group has rank exactly one, and we prove a form of the Iwasawa main conjecture for the torsion submodule.Comment: Final version. To appear in the Annales de L'Institut Fourie

Household attitudes to solid waste management in developing country cities : a case study of Lagos, Nigeria

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Strategies for the establishment of profitable fish farms in Nigeria

Cost projections for the establishment of a fish farm in Nigeria was conducted. It is shown that fish farming should be a lucrative venture. However, many private fish farms are not making the desired profits because of a variety of problems. Besides managerial incompetence, availability of fingerlings for stocking in the ponds is shown to be a serious handicap to the success of investments in a fish farm. It is suggested that where the funds are available, each farm should be equipped with facilities for raising its needs of fingerlings. Since useful capital would be involved and knowledgeable experts to run the hatcheries are few, it is recommended that fish farms within a state or adjacent states should combine to establish viable cooperative hatcherie

Ergodic Capacity Analysis of Wireless Powered AF Relaying Systems over α\alpha-μ\mu Fading Channels

In this paper, we consider a two-hop amplify-and-forward (AF) relaying system, where the relay node is energy-constrained and harvests energy from the source node. In the literature, there are three main energy-harvesting (EH) protocols, namely, time-switching relaying (TSR), power-splitting (PS) relaying (PSR) and ideal relaying receiver (IRR). Unlike the existing studies, in this paper, we consider $\alpha$-$\mu$ fading channels. In this respect, we derive accurate unified analytical expressions for the ergodic capacity for the aforementioned protocols over independent but not identically distributed (i.n.i.d) $\alpha$-$\mu$ fading channels. Three special cases of the $\alpha$-$\mu$ model, namely, Rayleigh, Nakagami-mandWeibull fading channels were investigated. Our analysis is verified through numerical and simulation results. It is shown that finding the optimal value of the PS factor for the PSR protocol and the EH time fraction for the TSR protocol is a crucial step in achieving the best network performance.Comment: 14 pages, 7 figures, To appear in IEEE Global Communications Conference (IEEE Globecom), Singapore, December 201

STRATEGIC INFLUENCE OF PROMOTIONAL MIX ON ORGANISATION SALE TURNOVER IN THE FACE OF STRONG COMPETITORS

This paper aim at study strategic influence of promotional mix on organisation sale turnover in manufacturing organisation. The research data were gathered through the use of secondary data and primary data, secondary data included 6years annual report comprising the sales turnover (2005-2009) and questionnaire which is an instrument of primary data collection. The questionnaires were administered to the workers of 7up Company and some customers in Solebo Estate in Lagos. The researcher adopted the simple percentage and regression model for the analysis of the collected data.. The result of the findings revealed that strategic promotional mix influences the sale turnover with little 25% while other variable not included in the variable tested takes the larger 75% that will rapidly lead to organisation growth. Since promotional mix constitute few % of variable that can push an organisation to the highest level, therefore other factors of marketing mix such as product development, effective pricing, distribution of right quality and quantity to the consumers should be appropriately considered.Strategic promotional mix, Marketing mix, Regression Model, push and pull strategy.

Home energy management system over low-power narrowband PLC

The need for efficient use of energy has inspired intelligent load control strategies in the home area network (HAN) using the power of Information and Communication Technologies (ICT). This paper investigates the use of low-power Narrowband Power Line Communication (NPLC) to support home energy management system (HEMS). Compared with low power wireless systems, it will be shown that using low-power Narrowband PLC (NPLC), packet success rate can be improved by approximately 85.32%, 208% and 85.32% in dense, sparse and large networks respectively. These results imply that low power NPLC is a feasible alternative for HEMS where low power wireless network is limited or inadequate

Channel characterisation of cooperative relaying power line communication systems

© 2016 IEEE. Power line communication (PLC) technology offers a promising platform for numerous communication applications. The power lines however can significantly attenuate communication signals operating in high frequency band. For this reason, multi-hop PLC systems become desirable. In this paper, we investigates the effect of multi-hop relaying on the power line channel transfer function. Measured results are compared with results obtained from sumulations in Matlab. Results show that the presence of relays between a transmitting and a receiving PLC nodes can intensify the attenuation and frequency selectivity. Measurements show that maximum attenuation increases with number of relays

Crystallographic investigation of urine in preterm newborns with renal disturbance due to asphyxia

Kidneys are very sensitive to the deficit of oxygen. Renal dysfunction can occur within 24 hours after an episode of ischemia and may provoke the development of cortical necrosis. Relevance of the study determined the lack of highly sensitive and at the same time, the available non-invasive diagnostic methods for early detection of kidney damage in newborns