Energy average formula of photon gas rederived by using the generalised Hermann—Feynman theorem

By virtue of the generalised Hermann--Feynmam theorem we re-derive the energy average formula of photon gas. This is another useful application of the theorem.     

屈曲约束支撑滞回曲线模型和刚度方程的建立

针对屈曲约束支撑,本文根据其反复荷载作用下的滞回特征,提出了一种滞回模型,并建立了屈曲约束支撑的弹塑性刚度方程。根据这种模型编制程序模拟绘制了屈曲约束支撑的滞回曲线,将模拟计算曲线与试验所得曲线进行对比,对比结果表明本文所提模型是准确、有效的。     

Energy balance and evaporation loss of an agricultural reservoir in a semi‐arid climate (south‐eastern Spain)

A typical agricultural water reservoir (AWR) of 2400 m² area and 5 m depth, located in a semi‐arid area (southern Spain), was surveyed on a daily basis for 1 year. The annual evaporation flux was 102·7 W m^?2, equivalent to an evaporated water depth of 1310 mm year^?1. The heat storage rate G exhibited a clear annual cycle with a peak gain in April (G ～ 45 W m^?2) and a peak loss in November (G ～ 40 W m^?2), leading to a marked annual hysteretic trend when evaporation (λE) was related to net radiation (R_n). λE was strongly correlated with the available energy A, representing 91% of the annual AWR energy loss. The sensible heat flux H accounted for the remaining 9%, leading to an annual Bowen ratio in the order of 0·10. The equilibrium and advective evaporation terms of the Penman formula represented 76 and 24%, respectively, of the total evaporation, corresponding to a annual value of the Priestley–Taylor (P–T) coefficient (α) of 1·32. The P–T coefficient presented a clear seasonal pattern, with a minimum of 1·23 (July) and a maximum of 1·65 (December), indicating that, during periods of limited available energy, AWR evaporation increased above the potential evaporation as a result of the advection process. Overall, the results stressed that accurate prediction of monthly evaporation by means of the P–T formula requires accounting for both the annual cycle of storage and the advective component. Some alternative approaches to estimating R_n, G and α are proposed and discussed. Copyright © 2009 John Wiley & Sons, Ltd.     

转动物台椭圆偏光运动轨迹分析

本文研究了转动物台椭圆偏光的运动规律,并用公式和图解表示椭圆偏光运动轨迹,导出的椭圆偏光方程式集中反映了各公式之间的关系。为解决椭圆偏光长轴运动轨迹,推导出计算椭圆长轴(a)和视旋转角(Ar)两个新公式,使最大视旋转角所对应的物台转角的研究有新的进展。本文重点讨论不透明矿物反射光的椭圆偏光的性质,但对透明矿物透射光的椭圆偏光也有一定意义。     

A survey of numerical methods for stochastic differential equations

The development of numerical methods for stochastic differential equations has intensified over the past decade. The earliest methods were usually heuristic adaptations of deterministic methods, but were found to have limited accuracy regardless of the order of the original scheme. A stochastic counterpart of the Taylor formula now provides a framework for the systematic investigation of numerical methods for stochastic differential equations. It suggests numerical schemes, which involve multiple stochastic integrals, of higher order of convergence. We shall survey the literature on these and on the earlier schemes in this paper. Our discussion will focus on diffusion processes, but we shall also indicate the extensions needed to handle processes with jump components. In particular, we shall classify the schemes according to strong or weak convergence criteria, depending on whether the approximation of the sample paths or of the probability distribution is of main interest.     

用王水分解含金矿物的机理探讨

本文从理论上对王水分解含金矿物的机理进行了探讨。在非标准状态下,温度、压力不变,改变体系中物质的浓度、酸度条件,用能斯特公式求解体系中HNO_3和Au的电极电位值,而后用EMF(电池电动势)根据规则判断反应是否可以进行。经理论计算,结论是可行的。另外由于Au~(3 )和Cl~-大量存在时,生成稳定的[AuCl_4]~-,经过络合作用,促使了HNO_3和Au的氧化还原反应,最终使含金矿物溶解完全。作者认为王水同含金矿物反应的机理是:氧化和络合的双重作用。     

再论波动方程反演波速问题——波的反射与透射公式

本文是文[1]的续篇,讨论由波动方程(?)Q/(?)t~2=v~2(x)△Q 反演波速v(x)的方法是否近似可用。作者指出,在非均匀介质条件下用此波动方程不能正确描述波的传播特性,因它不能保证弹性力在间断面上连续。以双层介质为例,分别从此方程及原始波动方程出发推导波的反射与透射公式,得到不同的反射系数与透射系数表达式。二者相差很大,不可能是近似关系,因此从波动方程直接反演波速函数的方法是不可取的。     

Vening—Meinesz公式的球面卷积形式

过去利用快速Fourier变换（FFT）或快速Hartley变换（FHT）技术计算垂线偏差是假设地球是一个平面。在此基础上导出的Vening-Meinesz公式平面卷积形式虽然在一定精度范围内可以满足要求，但会产生较大的近似误差。然而，Vening-Meinesz公式同样可以发展为由FHT技术计算的二维球面卷积公式。数值计算表明：在Δ(?)=10°，Δλ=13°（5′×5′平均重力异常）范围内，Vening-Meinesz球面卷积公式的计算结果与数值积分结果的均方差m_ξ=±0.03秒、m_η=±0.02秒，比平面卷积公式的计算结果与数值积分结果的均方差m_ξ=±0.14秒、m_η=±0.30秒有显著提高。     

一种新的计算冰面饱和水汽压方法

综述了国内外近似计算平面饱和水汽压公式。给出了较为精确、简单的平冰面饱和水汽压计算式，并与Ｗｅｘｌｅｒ等的计算结果进行了比较。