伴随勒让德函数的一个注记

证明了伴随勒让德函数Ｐｎｋ （ｘ） 的导函数Ｐ′ｎｋ （ｘ） 相应于次ｋ 在〔－ １ ， １〕上关于权函数ρ（ｘ） ＝ １ － ｘ２ 具有部分正交性。     

Resistance to flow in rough supercritical sheet flow

Shallow water depths on steep slopes of as much as fifty per cent can be measured easily by weighing a light flume and the water it contains. Because water accelerates along the flume, a good approximation of the steady state depth is obtained when the recording balance is fixed to its bottom end. From the unit discharge and the depth, and not from measurements of the surface velocity, the Darcy-Weisbach friction coefficient can be calculated. The present results show that this friction coefficient is larger in thin sheet flows than that calculated from the equation for rough turbulent flow. This latter could fit at a Reynolds Number of 50,000. When the regime is laminar (Re < 2,440) the Darcy-Weisbach friction coefficient always exceeds the theoretical value of 96/Re. The great relative depth of standing and travelling waves could account for this discrepancy together with turbulence and wake formation around bottom grains. Herein it is assumed that a regime can prevail where a laminar superlayer glides over a turbulent sublayer in the vicinity of bottom grains, because the ratio of the surface velocity to the mean velocity can greatly exceed 1.5, especially on steep slopes. Until photographs of the streamlines are taken, no statement about flow regimes in supercritical sheet flow can be made.     

中—长期地震预测方法概率增益的评估

对各种不同时空尺度地震预测方法的概率增益Ｋ的评估,是应用地震预测综合概率增益模型的基本研究内容之一。各种尺度地震预测方法可分为空间增益,时间增益和时空增益三种类型,初步研究了概率增益Ｋ的评估方法,给出预测状态概率评估概率增益Ｋ的关系,并得出地震预测方法的Ｒ值评分与概率增益Ｋ的关系     

Using the TCEV distribution function with systematic and non-systematic data in a regional flood frequency analysis

Due to the social and economic implications, flood frequency analysis must be done with the highest precision. For this reason, the most suitable statistical model must be selected, and the maximum amount of information must be used. Floods in Mediterranean rivers can be produced by two different mechanisms, which forces the use of a non-traditional distribution like the TCEV. The information can be increased by using additional non-systematic data, or with a regional analysis, or both. Through the statistical gain concept, it has been shown that in most cases the use of additional non-systematic information can decrease the quantile estimation error in about 50%. In a regional analysis, the␣benefit of additional information in one station, is propagated to the rest of␣the␣stations with only a small decrease with respect to the at-site equivalent analysis.     

网点扩展与Murray—Davies公式两种修正形式

本文重新讨论了Ｍｕｒｒａｙ—Ｄａｖｉｅｓ公式和Ｙｕｌｅ—Ｎｅｉｌｓｏｎ公式的物理含义，讨论了修正系数ｎ与网点扩展之间的关系，用叠代法计算了修正系数。提出一种对Ｍｕｒｒａｙ—Ｄａｖｉｅｓ公式新的修正方法，并对两种修正方法作了比较。     

权因子法方差分量估计

文中阐述了权因子法方差分量估计的原理。利用权因子的概念,对目前方差分量估计存在的几个问题,如负方差问题,作了探讨,并与Helmert法进行比较,得出了一些有益的看法。 算例很好地说明了权因子法方差分量估计的简便和实用性。     

Long-term gain changes in mercury-level tiltmeters of the Stacey type

A uniaxial mercury-level short baselength tilt transducer constructed at the University of Alberta is described. The design closely follows the differential capacitance tiltmeter ofStacey et al. (1969), but differs in that aluminum is used for the beam, and how the mercury cups are supported beneath the beam. It also allows gain verification by comparison of the direct capacitances with a known capacitance. It has been found that the gain factor for the instrument changes with time, because of the relaxation of the mercury surfaces. This has been monitored for several years for four instruments at two sites. The gains change rapidly for several months after installation, but more slowly as time progresses. The magnitudes of such changes in instruments of this type may be as large as 3 percent.     

地图设计与生产彩色管理系统的研究

本文以色度学理论为指导,根据地图设计与生产的实际需要,建构了一个用于地图颜色设计与分色的彩色管理系统。该系统通过数学模型完成对所含的七种颜色空间的相互交换,其中ＹＭＣＫ空间和ＨＶＣ空间直接与输入输出设备（介质）的颜色特征相关。在这一研究中,作者提出了一种不区分网点扩大性质的数学模型,改进了ＣＩＥＸＹＺ与ＭＲＧＢ空间的变换方法。     

郯庐断裂带南段双山韧—脆性剪切带物质迁移与CO2释放研究

根据动力变质作用的特点，在野外和室内正确鉴别区分郯庐断裂安徽肥东双山一带不同变质等级的动力变质带的矿物组合特点，应用体积亏损-元素得失方程，计算了在应力作用条件下，不同变质带内，不同等级的碳酸盐岩地层的各元素（组分）的得失状况，特别仔细地深入地模拟计算了不同岩性的动力变质岩的构造应力作用下的CO2的释放量和释放机制，从而为探讨和研究动力变质作用下，碳酸盐岩地区岩石生成CO2的过程提供理论和实践上的依据。     

强震时-空综合概率增益模型与中长期预测方法效能研究

本文在介绍强震时-空概率增益综合预测模型与单项地震预测方法效能评价指标的基础上，给出了各种中长期预测方法的概率增益统计值和预测效能R值。并对结果进行了讨论。