查询词典 mapping function

The relationsare built among the Bergman kernel,the Riemann mapping function,the Szeg'o kerneland the Green function etc.,therefore,if we get the one of them,then it is easy toobtain the others from these relations.

五研究了Bergman核的理论，它具有再生性质，给出了Bergman核、Riemann映射、核以及Green函数之间的密切关系表达式。

Firstly, based on the generalized function,φ-mapping topological current are rigorously proved to be of delta-function form δ and can be labelled by the nodal indices of the vector field, namely by Hopf indices and Brouwer degrees of this vector field, which reveals the inner relationships between our theory and the topology of vector bundle.

论文首先以广函数为基础严格证明了，φ-映射拓扑流具有δ函数形式，并且可以向量场的零点指标表征，即以其Hopf数和Brouwer度拓扑量子化，从而揭示了它与向量丛的拓扑学之间的内在联系。

Firstly,based on the generalized function,φ-mapping topological currentare rigorously proved to be of delta-function formδand can be labelledby the nodal indices of the vector field,namely by Hopf indices and Brouwerdegrees of this vector field,which reveals the inner relationships between ourtheory and the topology of vector bundle.A singular divergence theorem isalso presented.

论文首先以广函数为基础严格证明了，φ-映射拓扑流具有δ函数形式，并且可以向量场的零点指标表征，即以其Hopf数和Brouwer度拓扑量子化，从而揭示了它与向量丛的拓扑学之间的内在联系。

The second, according to mapping function of blank and product sections, and to many interpolating functions along model-cavity vertical surface, paper has built mathematics model, fluid surface function of special-shaped product plastic deformation and velocity field, gotten basis theory for metal forming prediction, for example empty drawing metal pipe thickness homogeneity and special-shaped product fluid regular, die parameter optimization and integration research of die CAD/CAM.

根据拔制坯料和制品截面映射函数和模腔纵向多种插值函数（直线型、凸型、凹型和三次多项式型），建立了相似异型材、圆形坯料——异型材和异型材——异型材三维金属拔制塑性成形的数学模型和异型材塑性成形的流面方程及流动场方程，为预报金属成形规律（如：空拔管壁均化、异型材流动规律），模腔参数优化及其CAD／CAM一体化研究提供了理论基础。

The research of making use of 2D image to form the 3D objects has been a field paid attention to very much all the time. In this work, we propose the synthetic way of a 3D human head, based on image information of multiple-view, cooperate with a Generic 3D head model. By choosing the feature points from images to estimation of position of the camera, and then dealing with information reconstruction of human head and feature point relationship between images and 3D object. Subsequently, applying interpolation technique, the head model is deformed from original model to fit the computed feature points by using Radial Basis Function. Make the form of the head model of people after deformation in conformity with true face of people. Finally, execute 3D head texture mapping and reach the function of translation and rotation with arbitrary direction.

利用二维影像来合成三维物件的研究一直是很受到重视的一个领域，在本论文中，我们提出一个三维立体人头的合成方式，以多张不同视角的影像资讯为基础，配合一个事先准备好的通用三维人头模型(generic 3D head model)，透过二维影像中特徵点的选取来估算出拍摄的角度、方位，进而处理人脸模型五官的资讯重塑与特徵点对应的关系，接著利用内差技术，使用放射基底函数对三维通用人头模型作形变，使形变过后人头模型的形状与真实人脸相符，最后对三维通用人头模型作材质贴图，并可对此模型作任意角度、方向的旋转平移，以期达到类似照镜的功能。

Let G be the domain whose inverse image is the cross section of u definedin (H1) where the mapping is affine,g and ψ are smooth functions and g＞0,thenthere is a unique smooth convex-monotone function which satisfies the followingproblem 〓Furthermore,if 〓 where C is a constant,ψis an affine function,〓 is astrictly interior sub-domain of G in the sense of"parabolic distance",then

若G为按（H1）中定义的u的截影经仿射变换而得的区域，g和〓为光滑函数且〓，则〓存在惟一的凸单调光滑解。若〓常数，〓仿射函数，〓为G在&抛物距离&下的严格内子域，则

While the standard Airy function, used frequently in the uniform asymptotic formulas for classical orthogonal polynomials, behaves like the exponential function on one side and the trigonometric functions on the other side of an extreme zero,the q-Airy polynomial behaves like the q-Airy function on one side and the q-Theta function on the other side.

在经典正交多项式的一致渐近公式中我们通常要用到Airy函数，这个Airy函数在一个极端零点的一边表现为指数函数，另一边又表现为三角函数。同样地，q-Airy多项式在一边表现为q-Airy函数，另一边又表现为q-Theta函数。

This paper compares periodic set with almost periodic set, and properties of periodic function with that of almost periodic function through analysing the definitions of periodic function and almost perodic function, and then draws some important conclusions.

利用周期函数与概周期函数的定义，把周期函数的周期集与概周期函数的概周期集进行了比较，把周期函数与概周期函数的性质进行了比较，并得出一些重要结论。

A main feature in developing the theory is that the scope is expanding: from almost periodic function, asymptotically almost periodic function, weakly almost periodic function to pseudo almost periodic function which was introduced by Professor Zhang in 1992. Every extension consumedly enlarges the theory and their applications.

从概周期函数、渐进概周期函数、弱概周期函数，一直到张传义教授在上世纪九十年代初提出的伪概周期函数，每一次函数范围的扩展都大大地丰富了概周期函数的理论和其应用前景。

Methods 42 children with CP (26 males, 16 females, average age 49.5±21.5 months, 11 children with spastic quadriplegia, 22 with spastic diplegia, 5 with spastic hemiplegia, 2 with athetosis and 2 with dystonia) were assessed with Gross Motor Function Classification System and Gross Motor Function Measure for the assessment and classification of gross motor function. Pediatric Evaluation of Disability Inventory PEDD was used to assess the ADL. The ADL of children with different levels of GMFCS and the correlat ion between gross mot or function and ADL were analyzed. Results The more severe of GMFCS, the less standard score of PEDI.

方法对 42例脑瘫患儿（男性26例、女性16例，年龄49.5±21.5个月；痉挛型四肢瘫11例、痉挛型双瘫22例、痉挛型偏瘫5例、徐动型2例、肌张力障碍型2例）采用脑瘫粗大运动功能分级系统和粗大运动功能测试量表进行粗大运动功能分级和评估；采用能力低下儿童评定量表进行日常生活能力评定，分析不同GMFCS等级脑瘫患儿的日常生活能力表现，以及粗大运动功能与日常生活能力之间的相关性。

Pachomius manual labour was organized as an essential part of the monastic life; and since it is a principle of the monks as distinguished from the mendicants, that the body shall be self-supporting, external work of one sort or another has been an inevitable part of the life ever since.

根据圣pachomius体力劳动组织作为一个重要组成部分寺院生活；以来，这是一个原则的和尚，作为有别于乞丐，该机构应自支撑，对外工作的这种或那种已一个必然的一部分，生活至今。

In order to study the effects of parametrical rolling on the ship movement and tilts, in allusion to ship's navigating in regular following waves, the equation of ship rolling motion is transformed into normal Mathieu equation by proper variable replacement when strong parametrical excitation in restoring moment varied according to sine or cosine wave.

为研究参数横摇对船舶运动和倾覆的影响，通过对船在规则波上随浪航行时，恢复力矩中出现的1个以正余弦规律变化的强参数激励项进行适当的变量置换，将船舶的横摇运动方程转换成标准形式的Mathieu方程。