Mersenne Numbers, Recursive Generation of Natural Numbers, and Counting the Number of Prime Numbers

A simple recursive algorithm to generate the set of natural numbers, based on Mersenne numbers: MN = 2N – 1, is used to count the number of prime numbers within the precise Mersenne natural number intervals: [0;MN]. This permits the formulation of an extended twin prime conjecture. Moreover, it is found that the prime numbers subsets contained in Mersenne intervals have cardinalities strongly correlated with the corresponding Mersenne numbers.

The Nikola Tesla Constant and Its Relation to the Circumference Inscribed in a Square

This research work relates the surface of a square and the area circumscribed by a circle, resulting in a value called Nikola Tesla constant. This constant starts with the calculation of the areas of the square and the inscribed circle, giving a ratio of 9/40 and from which a residual area of the area proportions of the geometric figures described is obtained. Plotting smooth curves, particularly those in round shapes, can be represented efficiently with the use of Nikola Tesla constant, reducing complex mathematical calculus.

Seismological study on the crustal structure of Tengchong volcanic-geothermal area

Based upon the deep seismic sounding profile conducted in the Tengchong volcanic-geothermal area, a two-dimensional crustal P velocity structure is obtained by use of the finite-difference inversion and the forward travel-time fitting method. The crustal model shows that there is a low velocity zone in upper crust in the Tengchong area, which may be related to the volcanic-geothermal activities, and two intracrustal faults (the LonglingRuili fault and Tengchong fault) exist on the profile, where the Tengchong fault may extend to the Moho discontinuity. Meanwhile, based on teleseismic data recorded by a temporary seismic network, we obtained the S-wave velocity structures beneath the RehaiRetian region in the Tengchong area, which show the low S-wave velocity anomaly in upper crust. The authors discuss the causes of Tengchong volcanic eruption based on the deep crustal structure. The crustal structure in the Tengchong volcanic-geothermal area is characterized by low P-wave and S-wave velocity, low resistivity, high heat-flow value and low Q value. The P-wave velocity in the upper mantle is also low. For this information, it can be induced that the magma in the crust is derived from the upper mantle, and the low velocity anomaly in upper crust in the Tengchong area may be related to the differentiation of magma. The Tengchong volcanoes are close to an active plate boundary and belong to plate boundary volcanoes.

Projected area and drag coefficient of high velocity irregular fragments that rotate or tumble

3 degrees of freedom(DOF)exterior ballistic computer models are used in fragment studies to calculate individual trajectories of each fragment based on drag coefficient and the projected(presented)area in the direction of velocity of center of mass.The expectation of a randomly distributed projected area is commonly used for fragments that tumble(random rotation)during flight.We forecast a model where the expected drag coefficient is dependent of shape and Mach number.Rotation or tumbling only affects the expected projected area.Models of projected areas during tumbling and rotation are presented.An examination of the data by Mc Cleskey(1988)indicates that the volume of the fragment to the power of2/3 is a better parameter to characterize the drag coefficient of the fragments than the maximum projected area.Hydrocode simulations are used to verify results and to study projected area and drag coefficient of fragments.

Simulation of leaf area index and biomass at landscape scale

The method for simulating the temporal and spatial distribution patterns of leaf area index (LAI) and biomass at landscape scale using remote sensing images and surface data was discussed in this paper. The procedure was: (1) annual maximum normalized difference vegetation index (NDVI) over the landscape was calculated from TM images; (2) the relationship model between NDVI and LAI was built and annual maximum LAI over the landscape was simulated; (3) the relationship models between LAI and biomass were built and annual branch, stem, root and maximum leaf biomass over the landscape were simulated; (4) spatial distribution patterns of leaf biomass and LAI in different periods all the year round were obtained. The simulation was based on spatial analysis module GRID in ArcInfo software. The method is also a kind of scaling method from patch scale to landscape scale. A case study of Changbai Mountain Nature Reserve was dissertated. Analysis and primary validation were carried out to the simulated LAI and biomass for the major vegetation types in the Changbai Mountain in 1995.

Influences of local habitat, tributary position, and dam characteristics on fish assemblages within impoundments of low-head dams in the tributaries of the Qingyi River, China

Low-head dam impoundments modify local habitat and alter fish assemblages; however, to our knowledge, the pattern of how fish assemblages in the impoundments relate to local habitat, tributary position, and dam characteristics is still unclear. We used data collected in 62 impoundments created by low-head dams Jn headwater streams of the Qingyi River, China, to examine relationships between fish assemblages and local habitat, tributary position, and dam characteristics. We also assessed the relative importance of the three groups of factors in determining fish species richness and composition. Linear regression models showed that fish species richness was related to substrate heterogeneity, confluence link, and dam number upstream. Redundancy analysis showed that fish species compositions were influenced by substrate heterogeneity, confluence link, dam height, dam numbers upstream and downstream. Overall, dam characteristics were more important in affecting fish species richness but less important in determining fish species composition than local habitat （i.e., substrate heterogeneity） and tributary position. Our results suggest that low-head dam may affect fish species richness in impoundments by modifying local habitat and constraining fish movement, and the relative abundances of those fish species may depend more on species habitat presences and stream size than on impoundment size and number.

Testing a bell-shaped function for estimation of fully expanded leaf area in modern maize under potential production conditions

Accurate leaf area simulation is critical for the performance of crop growth models. Area of fully expanded individual leaves of maize hybrids released before 1995 (defined as old hybrids) has been simulated using a bell-shaped function (BSF) and the relationship between its parameters and total leaf number (TLNO). However, modern high-yielding maize hybrids show different canopy architectures. The function parameters calibrated for old hybrids will not accurately represent modern hybrids. In this study, we evaluated these functions using a dataset including old and modern hybrids that have been widely planted in China in recent years. Maximum individual leaf area (Y_0) and corresponding leaf position (X_0) were not predicted well by TLNO (R^2= 0.56 and R^2= 0.70) for modern hybrids. Using recalibrated shape parameters a and b with values of Y_0 and X_0 for modern hybrids, the BSF accurately predicted individual leaf area (R^2= 0.95–0.99) and total leaf area of modern hybrids (R^2= 0.98). The results show that the BSF is still a robust way to predict the fully expanded leaf area of maize when parameters a and b are modified and Y_0 and X_0 are fitted. Breeding programs have led to increases in TLNO of maize but have not altered Y_0 and X_0, reducing the correlation between Y_0, X_0, and TLNO. For modern hybrids, the values of Y_0 and X_0 are hybrid-specific. Modern hybrids tend to have less-negative values of parameter a and more-positive values of parameter b in the leaf profile. Growth conditions, such as plant density and environmental conditions, also affect the fully expanded leaf area but were not considered in the original published equations. Thus, further research is needed to accurately estimate values of Y_0 and X_0 of individual modern hybrids to improve simulation of maize leaf area in crop growth models.

Population assessment and habitat associations of the Visayan Hornbill(Penelopides panini)in Northwest Panay,Philippines

Background:Seven out of ten hornbill species in the Philippines are threatened with extinction.Among these is the endangered Visayan Hornbill(Penelopides panini),found on the islands of Panay and Negros.Threatened by habitat loss and hunting,its population size is thought to have declined from 1800 individuals 20 years ago to less than 1000.However,a recent study on Negros estimated 3564 individuals across three core forest blocks.This study aims to quantify the Visayan Hornbill population size in and around the Northwest Panay Peninsula Natural Park(NWPPNP)on Panay,the largest contiguous low-elevation forest landscape remaining across its range,and its broad habitat associations across a gradient of environmental degradation.Methods:Hornbills were surveyed using 10-min distance sampling point counts(n=367)along transects(average length 1.1 km).Environmental variables were recorded along transects,while habitat was classified into primary forest,secondary forest,plantation,or open habitat.Distance software was used to estimate population densities stratified by habitat,with the overall population estimate taken as a mean of habitat density estimates weighted by habitat area.Using generalized linear mixed models,hornbill occurrence was modelled using combinations of nine environmental variables as main and two-way fixed effects.Results:Surveys covered 204.4 km^(2) of the 374.8 km^(2) Northwest Panay Peninsula.Hornbills were not recorded in plantations or open habitats.Hornbill density was significantly higher in primary forest(17.8 individuals/km~2±26.9%CV)than in secondary forest(3.7 individuals/km^(2)±33.2%CV;z=15.212,P<0.001).The overall population estimate for the NWPPNP and environs is 2109 individuals,and 2673 individuals for the entire Northwest Panay Peninsula.Hornbill presence was best explained by a model including distance from the Park boundary alongside five interaction effects and transect as a random effect.Distance,and the interaction between distance and medium-sized trees were significant predictors of hornbill presence.Conclusions:Our study evidences the habitat preference of the Visayan Hornbill,highlights the importance of the NWPPNP for the species'conservation,and provides strong evidence for re-assessing the global population size.

Characteristics of Soil Seed Banks of Typical Plant Communities in Hilly Area of Funiu Mountain

[Objectives]The purpose was to investigate the characteristics of soil seed bank of typical plant communities in hilly area of Funiu Mountain.[Methods]The seed density,number of species and species composition of the soil seed bank of typical plant communities such as Themeda japonica,Imperata cylindrica,Vitex negundo,Quercus acutissima,Robinia pseudoacacia,Platycladus orientalis and Populus canadensis in the surface,top 0-5 and top 5-10 cm soil were studied.[Results]The seed reserves of plant communities at different succession stages were(220.00±95.39)–(2650.00±1064.52)seeds/m2.A total of 48 species were counted in the seed bank,belonging to 45 genera in 22 families.Total 27 species were identified in the above-ground vegetation,belonging to 25 genera in 14 families.In the shallow soil where the seeds gathered,the seed densities of Imperata cylindrica and Themeda japonica were relatively low.The reserves of plant communities with different naturalness degrees were(403.33±64.29)-(2110.00±356.79)seeds/m2.A total of 67 species were counted in the seed bank,belonging to 64 genera in 37 families.A total of 45 species were identified in the above-ground vegetation,belonging to 43 genera in 28 families.In the soil layers of 0-5 and 5-10 cm,the seed density of natural secondary Q.acutissima was higher than those of planted P.canadensis,P.orientalis and R.pseudoacacia.In each soil layer,the species number of natural secondary Q.acutissima forest was slightly smaller than those of planted P.canadensis,P.orientalis and R.pseudoacacia forests.[Conclusions]The seeds in the soil seed bank may not completely come from existing above-ground vegetation.Manual assistance is required for vegetation restoration or reconstruction relying on soil seed bank,to ensure the direction of community succession.

Quantitative Evaluation of Bitterlich Sampling for Estimating Basal Area in Sparse Boreal Forests and Dense Tropical Forests

Bitterlich sampling is an extensively used technique in worldwide forest inventories. Although it has been proved that estimates of basal area from Bitterlich sampling are mathematically unbiased, its precision for individual forest stands may be fairly poor. An extension of validation efforts to different forest biomes could therefore provide more comprehensive assessment and understanding of the Bitterlich sampling technique. In this study, this technique was quantitatively evaluated by using simulated sparse boreal forests and dense tropical forests from an empirical forest structure model (EFSM). Theoretical estimation of basal areas and practical estimation influenced by the hidden-tree effect were both compared with true basal areas of the simulated forests. The evaluation results indicated that: 1) Bitterlich sampling can yield acceptable accuracy and precision when the count number (CN) of trees was set to 10 for the studied boreal and tropical forests with distinct characteristics, 2) the theoretical estimation of basal area can be improved by increasing the CN values for both forests, and 3) when the hidden-tree effect is encountered, the accuracy for tropical forests will be decreased by increasing the CN values, whereas the accuracy for boreal forests can still be improved. Accordingly, a relatively high CN, at a reasonable cost, is recommended for sparse boreal forests to improve the accuracy of basal area estimation. In contrast, for dense tropical forests, a CN of ten is appropriate to mitigate the hidden-tree effect.

Zokor activity promotes soil water infiltration in the Mu Us sandy land of northern Shaanxi,China

Zokors are common subterranean rodents that inhabit agricultural fields, shrublands, and grasslands in the arid and semi-arid regions of China. Zokor burrowing activities can alter soil structure and affect soil hydrological processes;however, there are few studies regarding their effects on soil preferential flow in the Mu Us sandy land. An evaluation of the effects of zokor disturbance on their habitat and soil water is important for understanding the ecological role of zokors in the soil ecosystem of the Mu Us sandy land. A field dye-tracing experiment was conducted in the Gechougou watershed on the southeastern edge of the Mu Us sandy land to investigate the effect of zokor burrowing activity on soil preferential flow characteristics. Our results showed that the density of zokor tunnels was the highest(0.40–0.46 m m^(-2)) under 30%–50% vegetation coverage and that the tunnels were approximately 3 cm from the surface.Both stained area ratio and stained path number were higher at sites with zokors than without zokors. Stained path widths were 10–80 and > 80 mm at zokor-harboring sites exhibiting homogeneous flow and heterogeneous finger flow, respectively. In the absence of zokors, homogeneous flow and highly interacted macropore flow were predominant. Soil water content below the zokor tunnels was higher than that above the tunnels. Moderate disturbance of soil structure by zokor activity facilitated soil water infiltration. These results enabled a better understanding of the effect of soil fauna on soil structure and hydrological processes and provided recommendations for ecological construction and renovation in arid and semi-arid regions.

Inverse gaussian beam stack imaging in 3D crosswell seismic exploration of deviated wells and Its application

In crosswell seismic exploration,the imaging section produced by migration based on a wave equation has a serious arc phenomenon at its edge and a small effective range because of geometrical restrictions.Another imaging section produced by the VSP-CDP stack imaging method employed with ray-tracing theory is amplitude-preserved.However,imaging 3D complex lithological structures accurately with this method is difficult.Therefore,this study proposes inverse Gaussian beam stack imaging in the 3D crosswell seismic exploration of deviated wells on the basis of Gaussian beam ray-tracing theory.By employing Gaussian beam ray-tracing theory in 3D crosswell seismic exploration,we analyzed the energy relationship between seismic wave fields and their effective rays.In imaging,the single-channel seismic wave fi eld data in the common shot point gather are converted into multiple effective wave fields in the common reflection point gather by the inverse Gaussian beam.The process produces a large fold number of intensive reflection points.Selected from the horizontal and vertical directions of the 2D measuring line,the wave fi elds of the eff ective reflection points in the same stack bin are projected onto the 2D measuring line,chosen according to the distribution characteristics of the reflection points,and stacked into an imaging section.The method is applied to X oilfi eld to identify the internal structure of the off shore gas cloud area.The results provided positive support for the inverse Gaussian beam stack imaging of 3D complex lithological structures and proved that technology is a powerful imaging tool for 3D crosswell seismic data processing.

Analysis of Growth and Productivity of Green Chickpea Using Nitrogen and Phosphorus Fertilization

Chickpea contains high levels of protein,vitamins and minerals.Acceptable chickpea yield is the result of meeting nitrogen and phosphorus requirements.The effect of appropriately meeting such requirements reflects on growth and can easily be evaluated using growth analysis.This research determined:(a)The effect of nitrogen and phosphorus fertilization on phenology,net assimilation rate,number of green leaves,leaf area,leaf area index and leaf area duration;(b)Green chickpea yield and number of pods due to fertilization;and(c)The combination of nitrogen and phosphorus fertilization that yields the most net revenue.Nitrogen and phosphorus fertilization was evaluated;each at the doses of 0,75 and 150 kg ha–1(N0,N75,N150;P0,P75 and P150,respectively).The combination of the levels of both nutrients generated nine combinations of treatments which were distributed in the field in a randomized complete block design in an arrangement of divided plots with four repetitions.Timing of phenological phases were similar among treatments.Nitrogen and phosphorus fertilization increased number of leaves,leaf area index,and leaf area duration that translated into increased green chickpea yield(GCY).Combinations N150-P75 and N150-P150 produced the highest GCY.The highest net revenue and revenue per peso invested was obtained with N150-P75.

Analysis of Yield Components of Japonica Rice Tong Jing 981 under Different Density and Fertilization Conditions

The yield and yield components of Japonica variety Tongjing 981 under different density and fertilization levels were studied through regression and correlation and path analysis. The results showed that the number of panicles per unit area, number of filled grains per panicle and 1 000-grain weight all had very significant yield increasing effects, and the number of panicles per unit area played a leading role. However, the yield increasing effects of the number of panicles per unit area and number of filled grains per panicle are equally important when the basic seedlings are more or the N fertilizer application rate is large. In practical production, a major factor should be determined among the yield components, and rational cultivation measures should be taken accordingly, to improve yield.

Characterization of Surface Layer Turbulence across a West African Tropical Climate Belt

This study surveyed the levels of boundary layer surface turbulence across a West African climate region. Five years (2011-2015) temperature and wind speed data at synoptic hours 0000 Hr, 0600 Hr, 1200 Hr and 1800 Hr within 0.125° grid resolution was sourced from Era-Interim Reanalysis platform at 1000 mbar pressure level. Using the Richardson (Ri) number technique, results showed that mechanical turbulence of Ri range 0.04 - 0.57 dominates across the surface layer for study locations of Port Harcourt, Enugu, Jos, Kano and Maiduguri than thermal turbulence. However, the least turbulent area was the coastal zone of surveyed region. Results also indicated that the vertical height (L) at which thermal turbulence replaces mechanical turbulence across study locations ranged from 20 - 250 m with lowest replacement levels (20 - 50 m) occurring mainly in the coastal area of Port Harcourt during periods of dawn. The most turbulent periods in the southern coastal location of study region were during key rainy periods from June-August while that for the rest far northern inland areas occur during the dry season/early rainy periods i.e. November-May. The implication of the lower surface turbulence/replacement level within coastal domains most especially during periods of dawn is that emission releases near surface layer will be dispersed after initial rise due to buoyancy at horizontal levels thereby increasing ground level pollutants concentration across sensitive receptors that are close to emission source. At heights of thermal turbulence replacement, emission releases will be transported vertically and then dispersed further away from emission sources, thus impacting sensitive receptors at farther distances. This is the atmospheric boundary layer dynamics that makes ground level pollution worse in the coastal city of Port Harcourt in recent times during periods of dawn. Efforts must be made by concerned Stakeholders towards ensuring that emissions are reduced during the periods of dawn within and around coastal environments.

Risk of Hearing Loss Injury Caused by Multiple Flash Bangs on a Crowd

A flash bang is a non-lethal explosive device that delivers intensely loud bangs and bright lights to suppress potentially dangerous targets. It is usually used in crowd control, hostage rescue and numerous other missions. We construct a model for assessing quantitatively the risk of hearing loss injury caused by multiple flash bangs. The model provides a computational framework for incorporating the effects of the key factors defining the situation and for testing various sub-models for these factors. The proposed model includes 1) uncertainty in the burst point of flash bang mortar, 2) randomness in the dispersion of multiple submunitions after the flash bang mortar burst, 3) decay of acoustic impulse from a single submunition to an individual subject along the ground surface, 4) the effective combined sound exposure level on an individual subject caused by multiple submunitions at various distances from the subject, and 5) randomness in the spatial distribution of subjects in the crowd. With the mathematical model formulated, we seek to characterize the overall effect of flash bang mortar in the form of an effective injury area. We carry out simulations to study the effects of uncertainty and randomness on the risk of hearing loss injury of the crowd. The proposed framework serves as a starting point for a comprehensive assessment of hearing loss injury risk, taking into consideration all realistic and relevant features of flash bang mortar. It also provides a platform for testing and updating component models.

ENZYME-ASSISTED DEINKING AND FIBER MODIFICATION OF MIXED OFFICE WASTE

Three kinds of cellulases with different components were applied to the deinking of mixed office waste paper, MOW. In the process of enzymatic deinking of MOW, not only improvement of toner particle removal was achieved with the addition of enzymes but other properties of the deinked pulps were influenced. Drainage properties of the deinked pulp were improved after treated with enzymes. Higher enzyme dosage was needed compared with that only for deinking purpose if obvious drainage improvement of the deinked pulp were to be achieved. The enzymatic hydrolysis of fibers did not lead to distinct fiber length decrease, but declined the zero tensile strength of the pulp declined with addition of enzymes, which indicating the decrease of individual fiber strength. In addition, enzyme treatment resulted in the enhancement of specific surface area of fibers.

布鲁氏菌病患者外周血白细胞及血小板参数的变化及临床意义

目的 研究布鲁氏菌病患者外周血白细胞及血小板参数的变化及其特点,探讨其临床应用价值。方法 纳入确诊布鲁氏菌病的患者90例,其中急性期59例,慢性期31例,另外选取同期40例健康人群为健康对照组。收集患者的临床症状等基本资料;采用全自动血液分析仪检测各组外周血白细胞计数、淋巴细胞计数、中性粒细胞计数、单核细胞计数、血小板计数、平均血小板体积(MPV)、血小板分布宽度(PDW);采用流式细胞仪检测外周血CD3^(+)T、CD4^(+)T及CD8^(+)T细胞计数,计算患者的中性粒细胞/淋巴细胞比值(NLR)及血小板/淋巴细胞比值(PLR),分析各细胞参数的变化特点并分析各参数对布鲁氏菌病的临床诊断价值。结果 慢性期组的关节痛和脊柱炎占比高于急性期组(P<0.05);与健康对照组相比,急性期组的白细胞计数、中性粒细胞计数、血小板计数及NLR均降低,慢性期组MPV和PDW降低,而CD3^(+)T细胞计数和单核细胞计数升高(P<0.05)。有关节炎症状的急性期布病患者白细胞计数、淋巴细胞计数、CD3^(+)T细胞计数和CD8^(+)T细胞计数低于无关节炎的急性期布病患者,而PLR则升高(P<0.05)。受试者工作特征(ROC)曲线分析结果显示中性粒细胞计数和NLR水平对于急性期布鲁氏菌病的ROC曲线下面积(AUC)分别为0.780和0.717,而CD3^(+)T细胞计数对于诊断慢性期布鲁氏菌病的AUC为0.748。在急性期患者中,CD3^(+)T、CD8^(+)T细胞计数及PLR水平对诊断关节炎的AUC分别为0.779、0.768、0.722。结论 急性期和慢性期布鲁氏菌病患者外周血白细胞和血小板参数均有不同程度的改变,对于布鲁氏菌病的诊断以及急性期布病患者关节炎的诊断有一定的临床应用价值。

灰飞虱自动识别计数方法研究

为更精确地施药,提供可靠的虫量数据,提出一种基于图像识别技术的灰飞虱数量计算方法。设定由拍摄距离和相机调节倍数组成三组拍摄条件,融合区域面积、区域圆度和边界直径三个参数组合构成识别计数模型,利用边缘检测和区域填充完成图像中的个体提取,每组条件下分别计算5张单个长翅和短翅的参数值作为标准。拍摄条件相同的情况下,分别计算4张相互独立和4张有轻微连接的灰飞虱的计数图像,将每个区域的结果比对参数标准值范围,如果三个参数均在范围内,则输出1;至少有一个参数不符合,重新计算该区域面积和边界直径,当同时符合标准值的2倍时,输出2。试验结果表明:灰飞虱全为独立的图像中,有8张相对错误率为0%,3张小于10%,1张为13.3%;轻微连接的图像中,有2张相对错误率为0%,6张小于10%,4张为10%~25%,能满足灰飞虱数量的自动计算。

酸碱度和含水量对枯草芽孢杆菌生物有机肥活性和效应研究

为了生产高品质的枯草芽孢杆菌生物有机肥料,以腐熟羊粪为主要原料,通过糠醛渣的添加量调节肥料的酸碱度(pH分别为6.00、6.50、7.00、7.50、8.00、8.88)来测定活菌数确定最佳配比,并通过不同的水分含量来确定枯草芽孢杆菌生物肥料最佳含水量。结果表明,用糠醛渣的添加量来调节生物有机肥料的酸碱度,不同酸碱度对生物肥料中枯草芽孢杆菌活菌数影响不显著,各处理保存到180 d后,活菌数维持在10×10^(9)cfu/g左右。酸碱度对生物肥料中丝状真菌杂菌数的影响十分显著(P<0.01),杂菌数先随着pH的升高而升高,当pH为7.00时,杂菌数最多,达6.17×10^(6)cfu/g;当pH大于7.00或者小于7.00时,杂菌数减少。不同酸碱度的生物肥料对种子发芽指数有显著影响,随着pH升高种子发芽指数降低,说明生物肥料中pH过高会抑制根系的生长。随着水分含量的增加,枯草芽孢杆菌的数量逐渐减少,而肥料中丝状真菌杂菌数随着水分含量的增加而增加,水分含量达到40%、保存180 d时杂菌数最多,达3.97×10^(7)cfu/g;水分含量小于10%时,杂菌基本不生长。综合分析,枯草芽孢杆菌生产生物肥料的最佳pH为6.00~7.00,水分含量以小于20%为宜。