Spline Boundary Element Method for Calculating Three-Dimensional Electrostatic Fields

Based on [l].this paper presents a new spline-BEM for calculating 3-D electrostatic fields,in which bi-cubic B-splines are used as basis functions. The corner problem in BEM and the extreme conditions for splines are circumvented. The numerical results presented show that the global approximation .convergence and stability of the method are satisfactory.     

可视化编程技术在发动机外特性曲线绘制中的应用

通过对汽车发动机外特性的理论分析,在处理汽车发动机外特性曲线时,建立了一种适合处理发动机外特性曲线的三次样条函数拟合的数学模型,在C Builder可视化开发平台上,编制了汽车发动机外特性曲线绘制程序.利用三次样条函数插值法对实验数据进行拟合,实现了发动机外特性曲线绘制的自动化.     

用Delphi实现温度传感器的数据采集和误差分析

利用Delphi嵌入式汇编的扩展功能实现基于I／O的热敏电阻温度传感器数据采集，并用二次样条插值法研究电压和温度特性非线性化的S曲线，减少非线性误差。     

The monotony preserving QO‐spline as a taper curve

A monotony preserving quadratic spline interpolating at a given point set can be constructed by the so‐called QO‐algorithm. The quality of QO‐splines, which are taper curves constructed by using this algorithm, is investigated. A comparison was made using the program of McAllister & Roulier which produces a shape preserving taper curve by using quadratic splines, too. Tests done on a representative sample tree material indicate that the QO‐spline is in general a better taper curve than the one produced by the program of McAllister & Roulier even if the difference may be small in certain cases.     

涡轮弯扭叶片的几何造型

现代涡轮叶片是弯曲、扭转、变截面复杂流线型面，一般无法解析表达，为满足叶片型面数控加工要求，针对给定若干叶片截面上型值点的情况，采用节点号参数化双三次Ｂ样条插值曲面对完整弯扭叶片进行三维造型，并提出考察造型型值点网格密度是否满足加工精度要求的判断准则，实际加工证明，此算法简洁，稳定，适合涡轮叶片加工的工程需要。     

朝阳地区杨树二元立木材积表的编制

杨树是朝阳地区的主要用材树种，为准确估测杨树林分的蓄积，需要编制二元立木材积表，通过外业标准地调查，取得1527株样木数据，用1227株建立了元立木材积模型，并用300株进行了适用性检验，结果表明，该材积模型适用于朝阳地区，有精度很高，据此编制了朝阳地区杨树二元立木材积表。     

Genetic evaluation using random regression models with different covariance functions for test‐day milk yield in an admixture population of Thailand goats

The objectives of this study were to compare covariance functions (CF) and estimate the heritability of milk yield from test‐day records among exotic (Saanen, Anglo‐Nubian, Toggenburg and Alpine) and crossbred goats (Thai native and exotic breed), using a random regression model. A total of 1472 records of test‐day milk yield were used, collected from 112 does between 2003 and 2006. CF of the study were Wilmink function, second‐ and third‐order Legendre polynomials, and linear splines 4 knots located at 5, 25, 90 and 155 days in milk (SP25–90) and 5, 35, 95 and 155 of days in milk (SP35–95). Variance components were estimated by restricted maximum likelihood method (REML). Goodness of fit, Akaike information criterion (AIC), percentage of squared bias (PSB), mean square error (MSE), and empirical correlation (RHO) between the observed and predicted values were used to compare models. The results showed that CF had an impact on (co)variance estimation in random regression models (RRM). The RRM with splines 4 knots located at 5, 25, 90 and 155 of days in milk had the lowest AIC, PSB and MSE, and the highest RHO. The heritability estimated throughout lactation obtained with this model ranged from 0.13 to 0.23.     

一种Logistic模型参数估计的新方法及应用

介绍了logistic曲线参数估计的一种新方法,它是利用三次样条插值函数求导代替logistic曲线在这一点的导数值,进而利用最小二乘法得出参数的估计值,通过实例分析表明本文提出的方法比一般的三点法估计的参数值k再用线性化方法估计的参数值b,c,拟合精度更高.     

用数值方法解决弹道曲线的有关问题

利用龙格—库塔方法解弹道曲线方程组，其精度不够，也不能较完整地给出道弹曲线的解析式。本文直接从解内察方程出发，运用祥条函数磨光法，解决了这些问题，也解决了弹道曲线的计算与选择问题。     

Body shape variation within and among three species of darters (Perciformes: Percidae)

Abstract –  Using geometric morphometric (GM) techniques, we quantified intra and interspecific variation in female body shape using five collections each of Etheostoma caeruleum Storer, Etheostoma nigrum Rafinesque, and Etheostoma stigmaeum (Jordan). Nested multivariate analysis of variance showed significant variation in body shape among populations (Wilks' Λ = 0.0687, F _144,7585.1 = 19.35, P  < 0.0001), as well as among species (Wilks' Λ = 8.7 × 10⁻⁶, F _24,2 = 28.18, P  = 0.0348). Etheostoma caeruleum displayed greater body depth relative to both E. nigrum and E. stigmaeum , whereas E. nigrum displayed a compressed arrangement of mid-body landmarks relative to both E. stigmaeum and E. caeruleum . The broader implications of these findings highlight the value of geometric morphometrics as both an exploratory and analytical approach. Conclusions drawn from comparisons among moderately differentiated darter species in future studies of body size and shape are likely robust to intraspecific variation within species, and will permit more rigorous investigations into the ecomorphology of these benthic stream fishes.