查询词典 tangent plane method

In the study of the relation of the tangent and the tangent point of conics,this paper will introduce a solution to the problem in seeking the tangent and the tangent point of conics,with mapping the tangent into tangent point or mapping the tangent point into tangent using mapping correspondence.

为了研究二次曲线的切线与其切点的关系，借助对射对应将切点映射成切线或将切线映射为切点，解决求二次曲线的切线和切点的问

Turn to the top view, use left and right symmetry line to draw tangent plane curve. Open drive surface order board, choose triple rail, the single tangent plane, and the tangent plane width measurement, to create the oval curved surface.

转到上视图，使用左右对称线绘制切面曲线，打开导轨曲面命令面板，选择三导轨，单切面，宽度切面量度，建立椭圆曲面。

Test and analysis show that, the distribution patterns of the tangent veloctiy fields in the big cone area and the small cone area, which are comprised of para-free vortex and para-forced vortex, are basically identical without a change of the radius of the boundary surface; with the increase of the angle of the small cone, the para-free vortex area decreases and the para-forced vortex area increases, and the emulsifiability of the fluid drips increases with the increase of velocity gradient; the tangent velocity increases with the increase of inlet flow, and the maximum tangent velocities of both the big cone area and the small cone area are 4.94 times of the inlet flow; and the maximum tangent velocity increases with the increase of the split ratio and with the radius of the boundary surface not changed.

试验分析表明，大锥段和小锥段切向速度分布规律基本相同，均由准自由涡和准强制涡构成，分界面半径rm没有变化；随着小锥角θ的增加，准自由涡区缩小，准强制涡区扩大，速度梯度增加会加大液滴的乳化程度；随入口流量增加，切向速度增大，经拟合得出大锥段和小锥段的最大切向速度均为入口流量的4.94倍；分流比加大，分界面半径基本不变，最大切向速度增加。

Firstly, the quadric surface with three points which doesn't on one line is fitted, and then the tangent plane of this fitting surface is got. Meanwhile, the random tangent plane of surface patch subdivided is got also. Finally, the distance can be obtained through iteration between two tangent planes.

首先对点云数据中邻域不在同一直线的三个点进行局部二次曲面拟合，并求取该拟合曲面的切平面，同时求得细分曲面片任意一点处的切平面，最后在两个切平面上进行点对迭代运算，得到点到曲面片的最短距离。

In this paper, an iterative approach to potential field continuation from curved surface to plane is proposed. The continuation of potential field data from a curved surface to a plane can be viewed as an inverse problem of upward continuation of plane potential field data, getting a linear integral equation. Through viewing the potential field data on the curved surface as the data on the average elevation plane of the curved surface, then using the wavenumber domain generalized inverse algorithm to downward continue the data from the average elevation plane to a given plane, and a topography correction based on the change of curved surface relative to its average elevation is implemented to the downward continued data on the given plane, finally the downward continued data plane is upward continued to the curved surface.

本文提出一种位场数据曲化平的迭代方法，即通过把位场数据曲化平视为平面位场数据向上延拓的反问题，得到曲化平的线性积分方程，再把曲面上位场数据视为曲面平均高程面上的位场数据，利用向下延拓的波数域广义逆算法把平均高程面上的位场数据向下延拓到设定平面上，再根据曲面和其平均高程面的相对起伏对设定平面上的向下延拓数据进行起伏校正，最后再把所得平面上的位场数据向上延拓得到曲面上的位场数据，并进行迭代。

This paper analyses the tangent equation of space curve and the derivation process of the curved tangent plane equation in the higher-mathematics teaching-materials, and shows another method to extract the tangent equation of space curve.

分析高等数学教材中空间曲线的切线方程和曲面的切平面方程的推导过程，给出求空间曲线的切线方程的另一种方法。

Based on investigating the short and intermittent structural plane, surrounding rockmass of the huge underground powerhouse in Three Gorge has been divided into five statistical similar areas according to its characteristic of rockmass structure by applying structure plane network simulation. Distributed characteristic of structural plane has been studied and based on it mechanics macrocharacteristic has been studied:(1) It is the first time that based on the result of structural plane network simulation rockmass quality of every structure area has been studied with applying blurred information optimum seeking technique and be compared with and RQD method. The result indicated that it has better effect to evaluate rock quality with blurred information optimum seeking technique.(2) It is the first time that the interrelated relationship of the result of in-suit rockmass deformation test and fractal characteristic of structure on test point has been applied to determine rockmass deformation parameter. The question of evaluating deformation parameters of engineering rockmass has been solved.(3) Anisotropy strength parameters have been determined by applying shear zones simulating method. The result indicated that there are different strength parameters in every structural area, after comparing the result of Fast Lagranian Analysis in continua number simulation method with that of method of weighted mean according to continuity. The result indicated that when a suitable reduction coefficient is been considered rockmass strength parameters can be simply and fast determined with method of weighted mean according to continuity where there is not enough test result.(4) Damage characteristic has been studied based on analysis fractal characteristic of structural plane network by applying fractal-damage coupling method. It is the first time that the concept of damage degree has been set up to evaluate rockmass quality according to the biggest principal damage.

通过对短小、断续性结构面统计特征的研究，将地下厂房区划分为五个岩体结构统计均质区，应用结构面网络模拟技术研究了各个岩体结构均质区结构面的发育分布特征，并以此为基础对岩体宏观力学特性进行了深入研究：(1)首次通过在结构面网络模拟计算结果的基础上，应用模糊信息优化技术研究了厂房区各个岩体结构分区的岩体质量并与岩体基本质量指标研究法、岩体质量指标RQD值研究法作了对比，结果表明以结构面网络模拟结果为基础，应用模糊信息优化技术进行岩体质量评价能够取得很好的效果，解决了工程岩体质量的定量评价问题；(2)首次通过对已有的现场大型岩体变形试验结果的分析及相应试验点岩体结构分形特征的研究，建立了结构面分布的分形维数和岩体变形指标间的相关关系，并首次应用这种相关关系根据结构面网络模拟及分形维数计算结果确定了缺少试验结果的地下厂房各工程部位的岩体变形指标而且应用于围岩稳定性计算，解决了工程岩体宏观变形参数的评价问题；(3)应用在结构面模拟网络图上模拟岩体剪切破坏带的方法，得出了岩体在不同方向上的强度参数，结果表明岩体的强度特性与结构面的发育方向和程度有着明显的关系，各个岩体结构均质区具有不同的强度参数；同时还通过应用拉格朗日差分法对岩体强度指标的数值分析并与按连通率加权平均计算法对比表明，按连通率加权平均计算法在考虑合理的折减系数情况下，可以简单快速地对缺少现场大型试验结果的具体工程部位实现岩体强度指标的估计，通过以上研究解决了工程岩体抗剪强度参数的评价问题；(4)通过结构面网络分形维数的研究，应用分形损伤耦合分析方法，研究了厂房区岩体的损伤特征，并首次引入"损伤度"的概念，建立了应用最大主损伤评价岩体质量的指标体系。

The invention refers to a method to correct universal frequency of electric communication technique, its character: make signal index quantization on the complex number of cross product, to directly reflect the quantized numerical value of tangent value and the located quadrant of imaginary and real parts, use inverse tangent ROM table to discriminate the processed result, then make loop filter and phase accumulation on the discriminated result to obtain error-correcting angle, and use digital controlled oscillator to make table look-up and quadrant adjustment to obtain correcting factor; use the relationship of trigonometric function in each quadrant to compress inverse tangent look-up table ROM and digital controlled oscillator look-up table ROM.

一种涉及电通信技术的通用频率纠正的方法，其特征在于：它采用如下步骤：经过叉积的复数进行信号指数量化处理，通过该复数虚、实部信号的指数量化结果的差值及其极性直接反映虚、实部的正切值的量化数值以及所处象限，将处理后的结果通过反正切ROM表进行鉴频，鉴频后的结果经环路滤波和相位累加，得纠偏角度，通过数控振荡器针对纠偏角度进行查表和象限调整，得到纠正因子；通过个象限之间的三角函数关系来压缩反正切查表ROM和数控振荡器查表ROM的大小，本发明资源耗费小，效率高，可极大地节省内存资源。

Analyze the failure models of rock slope, and then classify the sliding plane, the sliding plane can be divided into self-born sliding plane, appendiculate sliding plane and mixed sliding plane, furtherly summarize the selection method of mechanics parameters to each types. Based on the classification, the author establishes the mechanics model of each sliding plane.

论文主要研究内容和结论如下：(1)阐明了边坡滑动面力学参数取值的研究对象、重点及其研究意义，简要回顾了滑动面分类、结构面强度取值、滑动面试验强度取值和力学参数反算的研究现状，针对目前研究中存在的一些问题，提出了本文的主要研究内容。

Analyze the failure models of rock slope, and then classify the sliding plane, the sliding plane can be divided into self-born sliding plane, appendiculate sliding plane and mixed sliding plane, furtherly summarize the selection method of mechanics parameters to each types. Based on the classification, the author establishes the mechanics model of each sliding plane. Discuss the influence of water and weathering and sedimentation conditions on rock slope, and then specify the geological cause of rock bedding slope, counter-tilt rock slope and cracked rock slope.

2分析了岩质边坡的几种主要破坏模式，在此基础上对岩质边坡滑动带进行分类研究，从大的方面主要分为自生型滑动面、依附型滑动面和混合型滑动面三类，总结与各类滑动面相适应的力学参数取值方法，从而建立岩质边坡滑动面的力学分析模型，讨论水、风化和沉积环境对岩质边坡的影响，归纳了顺层岩质边坡、反倾岩质边坡和破碎岩质边坡滑动面的成因。

It's not quite as simple as that.

并没有那么容易。

It debuted in 1992 in Japan and the United Kingdom, and 1993 in the United States.

它首次亮相于1992年在日本和英国，在美国1993年。