查询词典 analytic geometry

In this paper, the theory and approach of differential geometry are employed systematieally and the analytic expression of the nonlinear excitation eonrtol stratege is worked out.

由于电力系统强非线性的影响，当系统状态发生较大变化时，这些控制器的效果都难以令人满意。

On this basis,the PDC bit's fivepoint survey theory is developed,and a series of formulas are derived,applying PDC bits' geometry and analytic space geometry.

在此基础上，运用PDC钻头几何学和空间解析几何学中的四点共面、行列式、坐标变换的知识，提出并推导出了PDC钻头的五点测绘理论及系列公式。

The systems of machining complex curved surface by means of WEDM are classified to establish the main kinematics theories of machining complex curved surface by means of WEDM By analyzing various systems of machining complex curved surface by means of WEDM, the combination, characteristics, motion parameters and motion types of them are summarized And a model system of the is established according to the basic principles of the forming of ruled surface in spatial analytic geometry.

主要内容及取得的成果体现在以下几个方面：为了建立复杂曲面电火花线切割运动学的主要理论，本文对复杂曲面电火花线切割加工系统进行了分类，并分析总结出各种复杂曲面电火花线切割加工系统的组成、特点、运动参数及运动形式。

The results show that the design method which unifies the stereographic projection and the spherical triangle analytic geometry is one kind of both simple and the quick methods.

研究表明，采用极射赤平投影和球面三角形解析几何相结合的设计计算方法，是一种既简便又快捷的定向钻进轨迹设计方法。

For the purpose to figure out location and function relations of three-dimensional syphon's unfolded curve with any bend angle, any diameter and any section, and to make integration of design and manufacturing for three dimensional big-diameter syphon, methods of engineering mathematics and analytic geometry are provided. Syphon's unfolded curve function in three-dimensional station is analyzed and built; the corresponding MATLAB procedures are compiled at the same time.

为了解决弯管在弯曲角度、直径、节数等变化时的三维弯管展平曲线的坐标位置以及函数关系问题，以实现大直径弯管的三维设计与制造的自动化、一体化，通过利用工程数学及画法解析几何的方法，分析和建立了弯管在三维状态下的展平曲线方程，同时编写了相应的MATLAB程序。

The ellipse curre equation of circular image is derived based on the theory of spatial analytic geometry and rotation matrix s representation with unit quaternion then a mathematical model of the distortion error is established which relates the distortion error to the foca length of the used CCD camera,the radius as well as the position and the attitude of the inspected circle directly.

研究三维视觉检测中圆的中心经针孔摄像机成像后存在畸变误差的问题，首先基于空间解析几何理论和旋转矩阵的四元数表示法推导出像平面上投影椭圆的参数方程；然后根据参数方程建立圆中心成像畸变误差的数学模型；最后对影响畸变误差的主要因素进行分析。

During the process of the fore mentioned analyses, some tentative works as follows were done.(1)On the basis of the fundamental of spatial analytic geometry, the basic method for displaceable block searching was put forward and the relevant program was written. With this program one can easily search out all the displaceable blocks and omitting of blocks, which is very common in searching blocks manually, can be avoided.(2)The coefficient of stability of blocks with failure mode II-2(that is, sliding on a single sliding surface, but confined by near intersecting line )was deduced.(3)The multi-cavern effect of Laxiwa underground caverns was studied on the assumption that all of the caverns were full face tunneled at the same time.(4)The stability classification scheme of rock mass surrounding large scale underground caverns was established. In addition to inherit the merits of the method of engineering geological

在完成上述工作的过程中，本论文主要在以下几个方面进行了一些探索：①基于空间解析几何原理，提出了块体搜索的基本思路并编制出相应的程序，基本实现了块体搜索的自动化，既大大缩短了块体搜索时间，又能防止因人工搜索引起的遗漏；②推导出Ⅱ-2型(单滑面滑动，但受侧限面约束)块体的稳定性系数计算公式；③以数值模拟方法论证了拉西瓦地下厂房洞室群全断面一次开挖时群洞效应的具体特点；④以岩体质量、开挖效应、群洞效应和次生灾害效应为评价指标，建立了&大型地下洞室群围岩稳定性分类&方案；该方案既继承了水电行业规范&围岩工程地质分类&法的优点，又综合考虑了大型地下洞室群的工程特点。

Anti-aircraft weapons positions configuration model, make best distance and sheltering sector as index, and use analytic geometry to establish.

防空武器阵地配置模型，以最佳距离、掩护扇区为指标，运用解析几何建立。

The distance equation form dot to straight line is a basic equation for analytic geometry. This paper presents some deductions form angles.

点到直线的距离公式是解析几何中的一个基本公式，本文从不同角度对这一公式给出了几种推证。

Calculate limits, derivatives, integrals of functions. Solve differential equations. Master the fundamental concepts of spatial analytic geometry such as line, plane, quadratic surfaces.

培养学生的数学素质，具体地讲，要使学生具有抽象思维能力、逻辑推理能力、空间想象能力、运算能力和综合运用所学知识分析问题和解决问题的能力。

She gently rebuff ed him, but agreed that they could be friends

她婉言拒绝了，但同意作为朋友相处。

If in the penal farm, you were sure to be criticized.

要是在劳改农场，你等着挨绳子吧！