查询词典 ellipsoidal function

Firstly, according to the Laplace equation of ellipsoidal coordinates and the ellipsoidal harmonic functions in common use, the ellipsoidal series expansion of harmonic functions outside the referential ellipsoidal is introduced.

论文首先从椭球坐标的Laplace方程和常用的椭球谐函数出发，介绍了参考椭球面外调和函数的椭球谐级数展开。

However, the second associated Legendre function is too complicated to compute, so a simple and practical ellipsoidal harmonic series expansion is introduced, and the series solution and integral solution of the Dirichlet boundary value problem and the Neumann boundary value problem under ellipsoidal boundary are given.

鉴于展开式中第二类缔合勒让德函数的计算较为复杂，接着引入一种形式简单、实用的椭球谐级数展开，介绍了椭球界面下Dirichlet边值问题和Neumann边值问题的级数解和积分解。

This digital terrain model based on the ellipsoidal surface is essentially different from DTM based on projected plane because the Delaunay triangulation net is built based on geodesic coordinate system on regional ellipsoidal surface .

在椭球面上构建Delaunay三角网，与在平面上构网有不完全相同的定义与算法。

Study of the method for controlling the very small distortion of the mask;2. In order to get the distortion of ellipsoidal equipment in space, we can fit the ellipsoidal surface by using coordinates of points spreading around it.

讲述了通用二次曲面拟合的误差方程和法方程的组成，介绍了运用Jacobi变换方法来处理系数相关性问题和法方程的求解，还介绍了将通用系数形式转化为标准椭球方程的方法，从而求得观测坐标系与椭球主轴坐标系之间的关系，最后求得椭球在空间的位置、方向和大小，以及椭球体的形变值。

This paper makes a comprehensive and systematic study of the establishment of the earth's ellipsoidal gravity model and the solution of the boundary value problem under ellipsoidal boundary.

本文全面、系统的研究了地球重力场椭球谐模型的建立和边值问题在椭球界面下的求解情况。

Navigation data of sphere earth model, ellipsoidal earth model and ellipsoidal earth model with the error of inertial component was measured with the flight orbit data of sphere earth model.

用圆球模型下的飞行轨迹数据对圆球模型，椭球模型，加惯性元件误差的椭球模型下的捷联惯导系统导航参数进行测试。

For the third boundary value problem under ellipsoidal boundary, firstly we simplify the form of the third boundary value problem. Then, the solution of the the third boundary value problem under ellipsoidal boundary is discussed in detail, along with its series solution, the integral expression is mainly studied.

对于椭球界面下的第三类边值问题，先简化其形式，然后详细讨论了椭球界面下简化形式的第三类边值问题的求解方法，在给出级数解的同时，主要研究了它的积分解的表达式。

Computing any point of intersection of the polytope and the ellipsoid is used in the improved algorithm, instead of that of the intersection of two ellipsoids in ellipsoidal techniques, for calculating the solutions of some initial points where ellipsoidal techniques cannot ensure the existence of the solutions.

对某些采用椭球方法无法求取控制量的解的初始点，在改进算法中，采用了椭球与多面体任意交点求解的算法，代替了椭球方法中用椭球交集求解算法计算控制量。

Though comparing Canny operator and center B spline dyadic wavelet, the following conclusion is proven in this dissertation: a Center B spline function has tight support and Canny operator hasn't. b Center B spline function asymptotic convergence to Gaussian function and the derivative of Center B spline function asymptotic convergence to Canny operator. c The derivative of fourth order center spline B function is more suitable as a optimal edge detector than Canny operator. d Center B spline function can balance the smoothing and approximation of original data, and the fourth center B spline function is the only optimal solution of two order smoothing problem. e The error between the valve of time-frequency uncertainty of the fourth center B spline function and the lower bound of time-frequency uncertainty does not exceed 0.143% of the lower bound. f The derivative of center spline B function can construct a stability dyadic wavelet and can give a fast algorithm for multiscale edge detection, but Canny operator can do neither.

作者给出了Canny算子与中心B样条二进小波严格的比较证明，得出如下结论：a中心B样条函数具有紧支集，Canny算子不具有紧支集。b中心B样条函数的极限收敛于高斯函数，中心B样条函数的导数收敛于Canny算子。c四阶中心B样条函数的导数比Canny算子更接近最佳边缘检测滤波器。d中心B样条函数比高斯函数更能兼顾对原函数平滑和逼近的折中要求，并且四阶中心B样条函数是二阶逼近问题的唯一最优解。e四阶中心B样条函数的时频测不准关系值与时频测不准关系下界的逼近误差不超过0.143％。f中心B样条函数的导数可以构成稳定的二进小波，存在快速的多尺度算法；而Canny算子不构成稳定的二进小波，无法给出快速的多尺度算法。

The problem of multi-objective usually meet many conflict each other and can not use the objective of the same standard unit, then to employ membership function of fuzzy theory,at first each objective function to change fuzzy set and express with membership function, membership function include the maximum constraint, minimum constraint, the decrease function of monotonic property, to become optimal of the multi-objective function, but still to scanty of weighting value with regard to adjustment of objective function, thus this thesis proposes the method of combine orthogonal arrays and particle swarm optimization to solve the problem of multi-objective optimal power flow, each objective function separately add weighting value, to setting each weighting value of objective function in order to the result of anticipating.

多目标最佳化的问题通常会面临到许多互相冲突且不能用同ㄧ标准单位的目标，於是利用模糊理论中的归属函数，首先将各目标函数转换成模糊集合并以归属函数表示，归属函数包含了最大限制值、最小限制值、单调的递减函数所组成，将各目标函数利用归属函数表示，形成单一目标函数的最佳化，但是仍缺乏权重值对於目标函数的调整，於是本篇论文提出ㄧ种权重值设定与粒子群优演算法的方法去解决多目标最佳电力潮流的问题，将各目标函上分别加上权重值设定各目标函数的权重值，得到预期的效果。

Objective To study the effect of chitosan in the prevention of fibrous scar formation in the epidural space after laminectomy.

目的 观察选择性脊神经后根切除术椎板切除后硬膜外几种防瘢痕粘连物质的作用并探讨其机制。

On his way to the lift, he looked back to us or was it me his eyes pointing?

当他要进电梯时，他回头看我们（或者说是我，他的眼光？