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Basing on the Graf′s addition theorem, two expessions, interior and exterior expression, are deduced and the suitable problems for them are discussed. It has been found that the interior expression is the main point for sovling the scattering problem of circular inclusion in half-space. It also has been found that the exterior expression is the key for the scattering problem of circular arc canyon and circular arc alluvial valley, and is one of the main points for scattering problem of circular arc hill as well.

从Graf原有加法公式出发,本文给出了其内域型和外域型两种表达形式并讨论了这两种表达的适用范围,同时指出:内域型表达是求解半空间内含夹塞区出平面散射问题的要点,而外域型表达是解决任意圆弧型凹陷地形和任意圆弧型沉积盆地出平面散射问题中求解难点的关键,同时也是克服任意圆弧型凸起地形出平面散射问题求解困难的要点之一。

Plane analytic geometry is a important content in the mathematics curriculum of high school, which embodies powerful function of analytic method and algebraic method in the depicting curve. It reflects important idea of the combination of number and figure. Learning the course is very important for students to improve mathematics thought ability. Teachers and students are engaged in teaching and learning by the textbook, so it is necessary to analyse plane analytic geometry textbook.

平面解析几何是高中数学课程中的重要内容之一,它体现了解析方法和代数方法在刻画平面曲线方面的强大作用,反映了数形结合的重要思想,学习这部分内容对提高学生的数学思维能力具有十分重要的价值,师生正是通过教材这一载体从事教学和学习活动的,因此,很有必要对平面解析几何教材进行分析。

The cubic algebraic curves (the Bezier curve and B style curve, etc belong to the parameter curve) is apter to realize the curve transition and fitting to dispersed data than the cubic parametric curves.

比如参数曲面与平面的交线就是一条平面代数曲线;平面参数曲线的等距曲线也是一条代数曲线。

Based on these theories, it develops a GIS map projection software using Visual C++ as a platform. The software consists of two parts: analytical ordinal transformation and analytical athwart transformation. Analytical athwart transformation implements map projective transformation with coefficients obtained through numerical method, which is also the main idea of this paper. Map projective transformation process is illustrated with the examples of Mercator projection and conic projection.

地图投影建立了平面上的点(用平面直角坐标或者极坐标表示)和地球表面上的点之间的函数关系,而地理信息系统以平面直角坐标形式通过计算机图形学的方法表示2维或3维地理空间信息,因此,地图投影起到了地球空间与地理信息系统之间的坐标转换的桥梁作用[1]。

Therefore, systemically research on distribution and activity of fault system in the middle part of Huanghua depression is done in this paper, including the quantitative analysis of planar distribution and activity of fault system ,the anatomization of the activity and evolution of the major fault, in order to determine the relativity and cause of the fault system. Conbined with the found reservoirs and the evidences of oil and gas displaying .The relationship between fault activity time and activity characteristic, planar distribution and the displacement type of the fault system, the contact relationship of lithology with the formation of oil and gas pools is discussed and finally the faults developing model to form oil and gas pools of upper Tertiary system are found in middle part Huanghua depression.

本论文以黄骅坳陷中区为主系统的研究了断裂系统的展布和活动特征,包括断裂平面展布与活动的定量分析、主干二级断层的几何特征和活动演化历史的详细解剖,来分析断裂系统的相关性和断裂系统的成因,并与黄骅坳陷已发现的油气藏及已有的油气显示成果结合,探讨断层的活动时间和活动特点、断层的平面分布、平面和剖面组合关系、断层两盘的岩性对接关系等方面与油气成藏的关系,最终建立黄骅坳陷中区新近系油气成藏的断裂发育模式。

From the angle of vision communicates, This artile is tring to analys the Characteristics of a printings which have been given a interactive i...

平面印刷品互动设计是平面设计、印刷工艺、互动,三者的有机糅合,是平面印刷品设计发展的方向。

In this paper,on the basis of the exact solutions for the antiplane and plane symmetric cases,the exact solution of the plane anti-symmetric case has been obtained.

在反平面平面对称情形的精确解的基础上严格地求出了平面界面横向裂纹反对称问题的精确解。

Utilizing the approach of the theory of elasticity and mechanics of materials, the plane and antiplane problems of interactions among multiple line inclusions, line inclusion and line crack, and line inclusion and circular inclusion in infinite plane have been studied systematically from the fracture mechanics point of view in this thesis.

本文使用弹性力学与材料力学相结合的方法,对无限平面上多根线夹杂、线夹杂与线裂纹及线夹杂与圆夹杂相互作用的平面与反平面问题,从断裂力学的角度作了系统研究。

The unsaturated and compacted soil triaxial test result under constant suction describes the unsaturated soil critical state surface in p-q-s three dimensional space: in p - q plane, the slope M of critical state line is independent of suction; the cross line of LC yield surface and critical state surface is a curve with extremum in three dimensional stress space, and its projection in p-s plane is located in quadrant 1 in triaxial compression state; its projection in q-s plane has asymptote, and there should also be asymptote in respect of the curve that stands for the function relationship between cohesive and suction.

基于局部变形测量的常吸力非饱和压实土三轴剪切试验结果,全面描述了非饱和土p—g—s三维应力空间中临界状态面的合理形态:在p—q平面,临界状态线斜率M是与吸力无关的物理量;临界状态面与LC屈服面交线在三维应力空间中是一条存在极值的曲线;该交线在p—s平面的投影曲线在三轴压缩应力状态下应位于第一象限;该交线在q—s平面的投影曲线应存在渐近线;反映凝聚力与吸力关系的函数曲线也应存在渐近线。

In this study, six campaigns around Anping tide gauge, Tainan, were successfully performed and the collected GPS buoy data were processed with four types of precise ephemeris provided by IGS, including final product, rapid product, ultra-rapid product and ultra-rapid product with the use of PPP technique. Comparing the PPP results with DGPS, the differences reach 3~5 cm in the horizontal and 10 cm in the vertical with final product; 6~8 cm in the horizontal and 15 cm in the vertical with rapid product; 15~20 cm in the horizontal and 30~40 cm in the vertical with ultra-rapid product; 2~3 m in the horizontal and 3~4 m in the vertical with ultra-rapid product. In addition, the collected data were also processed by DGPS techniques using different reference stations to analyze the effect of various baselines. The results show that accuracy degrades when the baselines increase.

本研究在台南安平潮位站旁进行6次GPS浮标施测,首先利用与GPS浮标距离不同之GPS参考主站来进行差分定位,分析基线距离对GPS浮标定位成果的影响,由实验结果可得出基线越长则定位准确度越低;再以IGS提供之最终产品、快速产品、超快速产品(Ultra-Rapid product)之观测部分observed half、超快速产品(Ultra-Rapid product)之预估部分四种不同发布延迟时间的精密星历与精密时表改正资料对GPS浮标进行精密单点定位解算,与传统差分相对定位方法定位结果进行比较后,得出使用最终产品之平面方向均方根误差(Root Mean Square Error, RMSE)可达3~5公分,而高程方向均方根误差可达10公分;快速产品之平面方向均方根误差可达6~8公分,而高程方向均方根误差可达15公分;超快速产品观测部分之平面方向均方根误差可达15~20公分,而高程方向均方根误差可达30~40公分;超快速产品预估部分之平面方向均方根误差可达2~3公尺,而高程方向均方根误差可达3~4公尺。

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