查询词典 interpolation function

However, its accuracy is not much high in interpolation. On the other hand, interpolation functions in the point interpolation method have delta function property, and it is convenient to apply the essential boundary conditions.

而点插值方法的插值函数具有Delta函数性质，可以很方便的施加本质边界条件，不利之处是在计算插值函数时矩阵易于奇异。

The multivariate polynomial interpolation problem is a classical mathematical problem that is widely used in many fields, such as multivariate function list, surface design and finite element method. In recent years, multivariate polynomial interpolation has been focused by many people, of which the geometric topological struction of sets of interpolation nodes is also much concerned by us.

多元多项式插值问题是一个十分具有研究意义和实际应用价值的数学问题，它广泛应用于多元函数列表，以及曲面的外形设计和有限元法等诸多领域，近年来多元多项式插值越来越受到人们的广泛关注，其中有关插值结点组的几何拓扑结构问题也是人们十分关注的内容。1998年，梁学章和吕春梅在文献[2]中借助代数几何中的有关理论，进一步讨论了沿无重复分量平面代数曲线上的Lagrange插值问题，并应用Cayley ？

Boundary polynomial point interpolation mesh-free method and boundary radial point interpolation mesh-free method were presented, based on polynomial basis and radial basis respectively for transient eddy current analysis, and their interpolation shape functions satisfy the Kronecker delta function and the essential boundary conditions can be directly imposed on the boundary nodes. An example on analyzing transient eddy current of a square metal column was set to prove the validity of the proposed methods, and a comparison on accuracy between BPPIM and BRPIM was analyzed as well.

运用多项式点插值法和径向基点插值法构造形函数，推导了适合于工程电磁场瞬态涡流问题的多项式基点插值边界无单元方法和径向基点播值边界无单元方法，这两种方法的空间插值形函数满足Kronecker delta条件，从而强加边界条件可以直接施加在边界点上，以金属长方柱的瞬态涡流分析作为数值算例，证实了两种方法的正确性和有效性，并对两种基类的点插值法进行了精度分析和比较。

In this paper,a new adaptive image interpolation method based on edge,introducing rectangular interpolation and quincunx interpolation,putting forward the gradient weight function,motivated by the work of Nira Shezaf et al.,is presented.

引入了一种改进的保留图像边缘特征的自适应缩放插值方法，在Nira Shezaf等人提出的自适应插值算法的基础上进行了改进。

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。

Along with the time development, the computer technology more and more thorough various trades and occupations, have provided thorougher and a convenient service for the general users In order to realize raises department's working efficiency, uses the resources fully, reduces the nonessential manpower, physical resource and financial resource goals and so on disbursement, presented various information management system The paper will design university student's dormitory information management system's Web and realizes using the solution The university student's dormitory information management system is one safe and the highly effective proprietory system, designs specially for the information engineering institute This system has used many technologies, for instance JSP, JDBC, Web service and so on The proprietory system use's database is SQL the Server 2000 databases The university student's dormitory information management system's major function includes: May realize to the student's dormitory information inquiry function, including fast inquiry function and classified inquiry function; To the student's dormitory information's input function, the revision function, deletes the function and the statistical function Realizes the dormitory Control section through the system above function regarding the student's dormitory information current management, namely facilitates the dormitory administrative personnels to keep abreast of the student lodging situation and the billeting situation comprehensively promptly; Has provided some simple data inquiry for the user and outputs each kind of information and so on

随着时代的发展，计算机技术越来越深入各行各业，为广大的用户提供了更为周到和便捷的服务。为了实现提高部门的工作效率，充分利用资源，减少不必要的人力，物力和财力的支出等目的，出现了各种各样的信息管理系统。论文将设计一个高校学生公寓信息管理系统的Web应用解决方案并予以实现。高校学生公寓信息管理系统是一个安全和高效的专用系统，专为信息工程学院设计。这个系统使用了很多技术，比如JSP，JDBC ，Web服务等。专用系统使用的数据库是SQL Server 2000 数据库。高校学生公寓信息管理系统的主要功能包括：可以实现对学生公寓信息的查询功能，包括快速查询功能和分类查询功能；对学生公寓信息的录入功能，修改功能，删除功能和统计功能。通过系统上述功能实现公寓管理部门对于学生公寓信息的日常管理，即方便公寓管理人员及时全面地掌握学生住宿情况及公寓分配情况；为用户提供了一些简单的数据查询并输出各种信息等。

Lagrange Interpolation; Osculatory Interpolation; Dimension Of Interpolation; Algebraic Curve And Surface; Bezout's theorem

Lagrange插值；切触插值；插值空间维数；代数曲线曲面； Bezout定理

After analysing the existing smooth orientation interpolation methods we proposed a smooth orientaion interpolation method based on cubic cardinal spline in quaternion space. This method possesses the following advantages: interpolation, C〓 continuity, accurate evaluation of the quaternion value at arbitrary parameter, transparent to the users, adjustable parameters for controlling the velocity of orientation change.

在分析现有的朝向光滑插值方法基础上，提出了基于四元数空间三次C样条的朝向光滑插值方法，该方法具有插值、C〓连续、任一参数处的四元数值可精确求得、对用户透明、可以用参数调节关键帧处物体朝向变化的速度等优点。

In the third chapter, we obtain the average errors(asymptotic order or weakly asymptotic order) of the Lagrange interpolation sequence, the Hermite-Fejer interpolation sequence and the Hermite interpolation sequence based on the Chebyshev nodes on the 1-fold integrated Wiener space.

第三章分别给出了基于第一类Chebyshev多项式零点的Lagrange插值算子列、Hermite-Fejer插值算子列和Hermite插值算子列在1-重积分Wiener空间下的平均误差的值。

Aquatic or marsh-growing fern allies; known to have existed since the Cenozoic; sometimes included in Lycopodiales.

生活于水中或湿地的蕨类；从新生代生存至今；有时归于石松目之中。

The engine was uprated from a 90hp Franklin to a 125hp Lycoming.

改良过的引擎是从90hp到125hp莱康明富兰克林。