几何基础

Mathematics: Do not overly difficult to pursue the topic, after all, not just a small part of the subject, or title should be the basis of grasping the concept of the book, often as an aid to line geometry and so must be a random multi-method, so that their own thinking clear , memory depth, the examination method will be very easy to think, do not have as hard.

数学：不要过分去追求难题目，毕竟难题目只是一小部分，还是应该抓基础题，把书上的概念、常作辅助线、几何题多种解法等等都要看一遍，使自己的思维清晰，记忆深刻，考试起来方法就会很容易想到，不需要那般费劲。

With establishing geological models, this paper numerically simulates the electromagnetic field, in which the receiving winding is vertical and parallel to the bole axis respectively, analyzes the amplitude of induced electrical potential in receiving hole and its variation with geological body, well-to-well distance, and transmitting frequency, and testifies the results with the data sets from three cross-well electromagnetic loggings in Shengli Oil Field.

本文以电磁场理论为基础，假设地下非均匀介质是关于发射器所在的井轴对称，发射源为处于垂直于井轴或平行于井轴放置的通以交流电的多匝线圈，对普通井及套管井井间电磁测井原理及方法、金属套管的几何参数及磁导率的确定方法、金属套管及发射频率等对井间电磁测井影响的规律等进行了系统研究。

On the basis of the masteries for the aluminum oxide ore pulp drying and calcination, a mathematical model was developed for simulating the process of heat transfer and the calcination of two-phase flow in a new type furnace designed by Zhongzhou Branch Company, China Aluminium Corporation Limited. The fields of velocity, temperature and pressure of the two-phase flow and the reaction time were gained by optimizing calculation under the condition of different operational parameters and geometric parameters. The effect of vent position velocity and atomization particle diameter on the drying and calcination technology of aluminum oxide ore pulp was discussed.

在了解氧化铝矿浆干燥、烧成工艺及设备的基础上，针对中国铝业股份有限公司中州分公司开发的一种新的氧化铝矿浆干燥和烧成炉，建立了矿浆干燥、烧成炉内气固两相流的流动传热以及烧成过程的数学模型，就干燥、烧成炉运行参数及各几何参数进行优化计算，得出了炉内气固两相流动的速度场、温度场、压力场以及颗粒干燥和烧成反应时间，并分析讨论了喷口位置、喷口速度、颗粒雾化粒径等参数对氧化铝矿浆干燥、烧成工艺的影响。

While traditional farming experiences and preliminary experiments on minimum tillage showed a preference of alternating furrow slice inverting and deep loosening without inverting in some of the agricultural regions in China, the development of a PTO driven furrow slice inverting rotary plow as primary tillage implement inplace of the conventional moldboard plow was justified from the standpoint of less tractor traffic, less soil compaction, less energy consumption, sowing in time etc.

从翻耕或翻耕与深松相交替将在相当广大的地区、相当长的时期内，作为一种基本的田间作业环节而存在这一认识出发，用&假想旋翻垡片&的概念研究了旋翻在几何尺寸上的可能性及其限制条件，并从保省耕作法的节能、赶农时、省人工减少土壤压实、经济高效等方面对旋翻进行了考察，指出发展一种动力驱动、原沟旋转翻垡的基础耕具的必要性和可行性。

First, we introduce and discuss the various methods of multivariate polynomial interpolation in the literature. Based on this study, we state multivariate Lagrange interpolation over again from algebraic geometry viewpoint:Given different interpolation nodes A1,A2 .....,An in the affine n-dimensional space Kn, and accordingly function values fi(i = 1,..., m), the question is how to find a polynomial p K[x1, x2,...,xn] satisfying the interpolation conditions:where X=(x1,X2,....,xn). Similarly with univariate problem, we have provedTheorem If the monomial ordering is given, a minimal ordering polynomial satisfying conditions (1) is uniquely exsisted.Such a polynomial can be computed by the Lagrange-Hermite interpolation algorithm introduced in chapter 2. Another statement for Lagrange interpolation problem is:Given monomials 1 ,2 ,.....,m from low degree to high one with respect to the ordering, some arbitrary values fi(i= 1,..., m), find a polynomial p, such thatIf there uniquely exists such an interpolation polynomial p{X, the interpolation problem is called properly posed.

文中首先对现有的多元多项式插值方法作了一个介绍和评述，在此基础上我们从代数几何观点重新讨论了多元Lagrange插值问题：给定n维仿射空间K~n中两两互异的点A_1，A_2，…，A_m，在结点A_i处给定函数值f_i(i=1，…，m)，构造多项式p∈K[X_1，X_2，…，X_n]，满足Lagrange插值条件：p=f_i，i=1，…，m (1)其中X=(X_1，X_2，…，X_n)，与一元情形相似地，本文证明了定理满足插值条件(1)的多项式存在，并且按&序&最低的多项式是唯一的，上述多项式可利用第二章介绍的Lagrange-Hermite插值算法求出，Lagrange插值另一种描述是：按序从低到高给定单项式ω_1，ω_2，…，ω_m，对任意给定的f_1，f_2，…，f_m，构造多项式p，满足插值条件：p=sum from i=1 to m=Ai=f_i，i=1，…，m (2)如果插值多项式p存在且唯一，则称插值问题适定。

The paper mainly discusses eye detection and gaze tracking algorithm. On the basis of Paul Violas face detection conception with rectangular features, this paper finds some rectangular features that is suitable with eyes, and with these features the Adaboost cascade classifiers are trained for eye detection.

首先，在Paul Viola矩形特征人脸检测思想的基础上，又设计了一些适合于眼睛的矩形特征，利用这些矩形特征训练了Adaboost层叠分类器，用于眼睛检测，并根据眼睛对称性的特点，应用了一些几何特征对层叠分类器的检测结果进行校正。

Variated exterior spaces, defined by the geometries of the house are generated, and create patios and transition spaces with exterior capsules existing as the smallest unit of definitive interior space.

变化的外部空间，由几何形的住宅外形定义出来，创建了一个天井，并且在现有室外空间的基础上构建出一个转换空间，作为最小的室内空间单元存在。

In chapter 2,some preliminary knowledge about the B-net method,mutivariate splines and geometric continuity is provided.

第二章，简单介绍了一下有关多元代数样条函数的基础知识，以及B-网方法和几何连续性。

On the condition ,for simpling the terrain model ,the paper gives a detailed algorithm by takeing gemotry and visual acuity as error criterion to decrease the load of computer.All these ,the result will realize the purpose of increasing the scene frame rate.

在此基础上，论文利用一种基于几何和人眼视觉空间的混合误差判别准则对地表网格模型进行了一定的简化，并以此来降低计算机的处理数据量，达到快速的场景生成。

On the side of exterior deformation monitoring, this dissertation proposes and proves the utility monitoring scheme by using general ground monitoring technology and the method of simplification differentiation polar coordinate survey for large span space structure deformation monitoring. On the side of stress measurement, this dissertation proposes an new method of stress measurement suit for mass concrete triangular frame and discusses shrinkage and creep of concrete how to influence stress measurement, and sets up finally a process how to calculate concrete stress through data for piano wire sensors. Finally, on the side of cable forces measurement, this dissertation discusses principle and measurement technology of frequency method.

在外部变形测量方面，本文提出并验证了一套利用常规地面监测技术监测大跨度空间结构几何变形的实用方案及一种简化的差分极坐标测量方法；在应力测量方面，本文提出了一种适用于大型混凝土三角刚架应力监测的新方法，研究了混凝土的收缩徐变对应力测量的影响，并在此基础上建立了一套由振弦式传感器的测试数据推算混凝土结构应力的流程；在索力测量方面，本文探讨了频率法测量索力的原理及实用测量技术。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。