几何基础

The main problems in screen calibration and the existing solutions are introduced first.Then the screen calibration process and geometry calibration methods are listed.After that,evaluation criterions for screen calibration are discussed,and a generalized color model for projectors color calibration and a visual seamlessness algorithm are presented in detail.

首先介绍多投影显示墙画面校正中存在的主要问题和现有的解决方法；在此基础上，给出了多投影显示墙的画面校正流程和几何校正方法；然后讨论了多投影显示墙画面校正结果的评价标准，提出了投影仪的广义颜色模型和基于搜索技术的视觉无缝方法。

Its theoretic foundation is integration geometry, random theory of set, topology, modern probability, algebra, theory of set, graph theory, and so on.

其最基本的数学理论基础是积分几何和随机集论，同时还涉及到拓扑学、现代概率论、近代代数、集合论、图论等一系列数学分支。

And on the basis of analyzing the geometry characteristics of the side rail, the corners whose radius deteriorates the formability are modified.

重点对高强度钢纵梁内板的成形性进行了分析，并且在详细分析零件几何特点的基础上，对此模型的圆角半径进行了修改，修改后零件的成形性得到了显著提高。

Based on this information and the method of fuzzy identification, fuzzy belonging-functions and equations are derived for the low porosity and low permeability reservoirs of Silurian in the block.

根据毛管压力曲线和相对渗透率的分形几何公式计算孔隙的分维数；以储层测井信息所反应的储层地质特性为基础，利用模糊识别方法，建立了该区块志留系低孔渗储层测井信息的模糊隶属函数和隶属方程；所得隶属度的大小可以用来判断储层的所属类型。

Based on f the stability computation theory of structures are elaborated in brevity and in consideration of material elasticity and geometrical nonlinearity, the 3-D model of finite element in studying on in-plane elastic ultimate load-carrying capacity of 工-section arches with holes in soffit is built by ANSYS software.

本文在简要阐述结构稳定计算理论的基础上，利用ANSYS计算软件，在弹性材料、几何大变形条件下建立了研究腹板开洞工形截面钢拱平面内弹性极限承载力的有限元三维模型，并把极限承载力的各种影响因子设为变量，形成了整个计算过程的MAC文件。

Then the propagation of an arbitrary nonideal optical beam is analyzed. In terms of the moment theorem, the performance of modes of BOR is analyzed from both points of view of geometry optics and diffractive optics. Comparing BOR with the resonators using plane mirror and spherical mirror or using plane mirror and aspherical mirror by finite element method, the design procedure for BOR is gave.

然后以衍射的角谱理论为基础，用矩量定理讨论了任意光束的传播规律，从几何光学和衍射光学的角度完整地分析了二元光学谐振腔的模式特征，用有限元方法数值对二元光学谐振腔、非球面腔和球面腔进行衍射分析，比较了三种腔型的差异，给出了二元光学谐振腔的设计方法。

The accurate measurement of the structure parameters of real tooth surface of spiral bevel gear with the coordinate measuring machine is the key to evaluate the geometric quality of the real tooth surface quantificationally, and the base of machine-settings correction.

在三坐标测量机上精确测量螺旋锥齿轮真实齿面的结构参数是定量评价其齿面几何质量的关键，是齿轮加工机床参数修正的基础。

The data submanifold embedding into the field action model submanifold, which realizes the structure approximation; ii .

在信息几何的em学习算法的基础上，我们提出了对偶校正学习算法和基于拓扑结构逼近校正学习理论。

The problem has been studied from two sides, firstly, from the viewpoint of applicability, based on the development strategic objectives of the oil company, with the aim to unify the exploration and extraction decisions of the resources in an integrated framework, and integrate the macro economic and technical objectives with micro economic and technical models of an oil well, an integrated non-linear dynamic optimal control model has been constructed, the objective is the benefit maximum of the exploration and extraction of the resources, and the optimalstrategies are obtained by changing the problem into a non-linear mathematical programming problem, on the other hand, from the more macro level, based on the analysis of the characteristics of the exploration and extraction activities of oil and gas resources, a conclusion is easily deduced that the procedure is full of randomicity, then discovering procedure of oil deposit is proved to be a Poisson process, and the reserves process is a supermartingale process, so the model of exploration discovery rate and the reserves model could be constructed.

其次从相对更宏观的层次上，通过对油气资源勘探与开发的特点分析，认为具有很强的随机性，证明了勘探活动发现油气藏的过程为一泊松过程，所发现的油气藏储量为一上鞅过程，在此基础上，建立了油气藏勘探发现率模型及储量模型，在油气价格服从几何布朗运动条件下，以油气开采收益最大化为目标，建立了一个油气资源勘探与开发的随机最优控制模型，采用动态规划方法得到了值函数的HJB方程，并针对方程的特点，以及方程及其变量所对应的经济学意义，对最优策略的求解进行了一些讨论。

The aerodynamic characteristics of the cuted tip rhombus wing and double-delta wing of middling sweepback angle and aspect ratio about sixty type are investigated by a numerical method based on Eular equations.

采用Euler数值计算方法，对60多种中等后掠角及展弦比的切尖菱形机翼、双三角机翼纵向气动力特性进行了计算、分析和比较，从中筛选出16种切尖菱形机翼、14种双三角机翼进行了全机高速风洞实验研究，给出了机翼的展弦比、前缘后掠角、根梢比及几何扭转变化对全机升力、阻力及俯仰力矩的影响曲线和数据分析，在此基础上提出了用于定量估算两类机翼纵向气动力特性的关系式及修正因子。

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。