查询词典 generalization

Because we mainly involve visual fields of medical science , have placed more contents on the development in the field of medical image of visual technology and argumentation used. Second part It is the visual technology knowledge, the generalization in such respects as the basic principle , basic functions, function store and three-dimensional animation technology to OpenGL ,etc. The realization of the system using OpenGL functions finish that three-dimension demonstration. The third part It is number value that calculate knowledge, three-dimension rebuild technology is it is it is it punish to fit to go on to need, the research of interpolator technology that cant leave, So this part has quoted the Hermite function principle , define cubic Hermite function to begin, calculate the differential coefficient among them draws cubic spline again.

由于我们主要是涉及医学可视化领域，所以将更多的内容放在了可视化技术在医学影像领域的发展与应用的论述；第二部分是可视化技术方面的知识，主要对 OpenGL 的基本原理、基本功能、函数库及三维动画技术等方面的概括，在系统实现时就是通过调用 OpenGL 函数库实现三维显示的；第三部分是数值计算方面的知识，三维重建技术需要进行拟合处理，离不开插值技术的研究，所以这一部分从埃尔米特函数原理开始讨论，引入三次埃尔米特函数，进一步计算时又引用三次样条函数。

A XML-based case representation method is proposed, accompany with the solution of several CBR key issues, several definitions of concept hierarch and its generalization method.

2针对CBR范例表示和组织的不足，深入研究了基于XML的范例表示，给出了概念层次和概念层次树的定义和概化方法，建立了基于XML的多层次范例映射模型，在这个模型下探讨了CBR方法的一些关键问题。

In order to reasonably depict four basic problems with friction, one Coulomb friction new form in first Kirchhoff stress is proposed to deal with finite deformation problems, other Coulomb friction form in incremental mode to elastoplastic flow theory; Hilbert function spaces concerning elastoplastical problems with friction are established, so it makes all operations and calculations in the treatise standardized within the scope of reasonably topologic structure; In view of functional extremum, the equivalence between generalized variational inequalities principles in elastoplasticity with friction and corresponding basic problems are testified by inducing Lagrangian multipliers, so it provides a rationally theoretical basis for numerical methods in elastoplasticity with friction; From the viewpoint of variational inequality, the theory of generalized variational inequalities in elasticity and elastoplasticity with frictional constraint is studied, and the uniqueness and existence of the solution of FEM is proofed under the proposed conditions of stress compatibility, and them FEM approximation and a discrete solution are discussed; Based on the principles of generalized variational inequalities in elastoplasticity with friction, direct generalized variational inequalities methods is pretended, which is a natural generalization and development of direct variational methods; Using generalized variational inequalities methods, some examples in metal forming including plane deformation, upset and extrusion are analyzed and the results prove that all the theories and methods in the paper are right, feasible, accurate and advanced.

主要内容有：为了合理地描述金属塑性成形中摩擦约束弹性、弹塑性基本问题，提出和研究了有限变形下以Kirchhoff第一应力表示的Coulomb摩擦定律形式和弹塑性流动理论下以增量形式表示的Coulomb摩擦定律表示形式；系统建立了摩擦约束弹塑性问题的Hilbert函数空间，使本文规范在一个具有合理的代数拓扑结构内进行一切操作和运算；利用Lagrange乘子，从泛函极值的角度系统地阐述和论证了一系列摩擦约束弹性、弹塑性广义变分不等原理与相应的实际问题之间的等价性，它为处理摩擦约束的弹塑性力学数值方法提供了合理的理论基础；从变分不等式的角度出发，阐述了对应于摩擦约束弹性、弹塑性问题的广义变分不等式理论，首次提出了在应力相容性条件下，它的有限元解具有存在唯一性，进而讨论了其有限元近似及离散解法；基于摩擦约束弹塑性广义变分不等式原理，首次提出了直接广义变分不等式方法，这一方法是直接变分法的合理推广和发展；利用直接广义变分不等式方法对金属压力加工中的平面变形问题、镦粗、挤压等塑性成形问题进行了分析计算，验证了该理论和数值算法的正确性、实用性、精确性和优越性。

The notion of a complete random inner product module is a random generalization of that of a Hilbert space.

完备随机内积模是Hilbert 空间的随机推广。

Secondly,the condition under which the Noether symmetry is a Lie symmetry is obtained.Finally,a generalization of Hojman theorem is given and two examples are given to illustrate the application of the result. analytical mechanics ; holonomic system ; symmetry ; conserved quantity

新近出现的形式不变性理论也取得进展[6～8]，文献[9]研究了完整力学系统由Lie对称性导致的Hojman守恒量，本文继文献[9]，研究完整力学系统由Noether对称性导致的Hojman守恒量。1 系统的Noether对称性与守恒量完整力学系统的运动微分方程为 Es=Qs (s=1，…，n)(1)其

In the first part, the concepts of the completely normal spaces and strong completely normal spaces in L-topological spaces are defined, which are the generalization of the completely normal spaces in general topological spaces. They are some good properties such as hereditary, weakly homeomorphism invariant properties, good L-extension, but they arent producible in general.

第一部分的主要内容如下：第一部分这一部分是将一般拓扑学的完全正规分离性的概念推广到了L-拓扑空间，给出了L-拓扑空间的完全正规分离性和强完全正规分离性的定义并讨论了它们的若干性质，比如，它们都是可遗传的，弱同胚不变的，"Lowen意义下好的推广"等。

Hyperelliptic curve cryptosystems is a natural generalization of elliptic curve cryptosystems.

摘要超椭圆曲线密码体制是椭圆曲线密码体制的自然推广，但不仅仅是一种简单的推广。

In 1989, Neal Koblitz proposed the hyperelliptic curve cryptosystems as a natural generalization of ECC. HCC is based on the discrete logarithm problem on the Jacobian of hyperelliptic curves over finite fields.

作为椭圆曲线的一个推广，Neal Koblitz在1989年提出了超椭圆曲线密码体制，它是基于有限域上超椭圆曲线的Jacobian上的离散对数问题。D。

In 1989, Neal Koblitz proposed the hyperelliptic curve cryptosystems as anatural generalization of ECC. HCC is based on the discrete logarithm problem on theJacobian of hyperelliptic curves over finite fields.

作为椭圆曲线的一个推广，Neal Koblitz在1989年提出了超椭圆曲线密码体制，它是基于有限域上超椭圆曲线的Jacobian上的离散对数问题。D。

Ideal gas ; equation of gaseous state ; law ; generalization formula

理想气体；气态方程；定律；推广式

Molecular Distillation is a kind of high vacuum distillation method, which is suitable for the separation of high boiling, heat sensitivity and viscidity products.

分子蒸馏技术是一种在高真空条件下进行的连续蒸馏过程，适合于分离高沸点、热敏性及具有生物活性的混合物。

They are to the Noughties what yuppies were to the Eighties .

那在六十年代是时髦的，但在八十年代肯定是过时了