查询词典 finite dimensional

The thermodynamical properties of the two dimensional square lattice and the three dimensional simple cubic lattice transverse Ising model with spin - 1/2 are investigated within the framework of the finite cluster appraximation.

本文在有限集团近似的框架内研究了自旋为1/2的二维平方晶格和三维简立方晶格横场伊辛模型的热力学性质，得到了相应的相图，临界温度和临界横场。

At present time thesemaps have become important objectors and tools in studying operator algebras. Nestalgebras is a class of most importaut non-semisimple, non-prime and non-self adjointoperator algebras. Their finite dimensional models are upper triangular matrix algebras,but the infinite dimensional models are more complex.

本文在已有成果的基础上，研究了一些类型的算子代数上的Jordan可乘映射，Jordan-triple可乘映射，Lie-skew可乘映射，初等映射，Jordan-triple初等映射，Lie导子，Jordan导子，局部导子和局部同构及其刻画问题。

The sufficient and neccessary con-dition is given for finite-dimensional or infinite-dimensional dissipativity of the methods,respectively.

在上述两章，我们还给出了某些一般性的结果。

In 1997,Their infinite-dimensional dissipativity wasfurther studied by Hill,who also studied the finite-dimensional and infinite-dimensionaldissipativity of one-leg methods.However,up to now,no papers have been concernedwith the dissipativity of delay dynamical systems and their numerical solutions.Thethird part of the thesis is devoted to discussing it.

当用数值方法求解这些系统时，自然希望数值方法能保持系统的该重要特性。1994年，Humphries和Stuart首次研究了Runge-Kutta方法对有限维系统的散逸性。1997年Hill进一步研究了Runge-Kutta方法的无穷维散逸性和单支方法的有限维和无穷维散逸性。

Methods A wet hip joint's sample from corpse was scaned by CT and all images of every cross-section hip joint's layer was obtained, and an hip joint's model was contructed with Unigraphics NX 2.0 and Solid Works 2006 SP 0.0 software. The models were assembled when simulated total hip arthroplasty after total hip joint prosthetic and ischiofemoral ligament model had been constructured. Analysis was done on von Mises stress distribution and amount of total hip component when simulated seated leg-crossing manuver. The bone and metal components were meshed as rigid bodies, composed of three-dimensional, all-quadrilateral rigid body elements, and hip joint capsule ligament was fully three-dimensional, hexahedral continuum elements representations. Results The current form of this ischiofemoral ligament's reconstruction finite element model provided for multi-body contact, large displacement interfacial sliding, large deformation capsule ligament representation, and clearly reflected the real ischiofemoral ligansent's anatomy and biomechanical behavior. The maximum on Mises stresses at the joint interface was more than that fur an otherwise identical hardware-only construct.

选择成人尸体髋关节行CT成像得到髋关节每层横截面图像，提取边界坐标，利用有限元分析软件Unigraphics NX 2.0和Solid-Works 2006 SP0.0构建出髋关节三维有限元模型及人工髋关节假体，并模拟全髋置换术进行装配，将坐股韧带按其术中重建位置进行构建骨骼与金属模型采用三维十节点四面体实体单元进行网格划分，关节囊六面体连接单元划分，模拟坐位腿交叉动作载荷获取假体撞击过程的角活动度和相应的von Mises应力分布情况结果所构建的多体连接、大界面划移、大变形的坐股韧带重建有限元模型，客观反映坐股韧带真实解剖形态及生物力学行为，增加坐股韧带重建的模型其关节面的最大主应力值大于仅有金属的模型。

In this paper,by the matrix method,a necessary and sufficient condition for two n-dimensional synclastic simplexes to be able embedded in the n-dimensional Euclidean space is obtained,as well as for two group finite point sets.

该文利用矩阵的方法，获得了两个同向的n维单形同时等距嵌入E~n维欧氏空间的一个充分必要条件是：对于预给(n+1)~2个距离，满足一组具有行列式形式的不等式组det，由此可以得到两组等数量的有限点集合到E~n维欧氏空间中等长嵌入的一个充分必要条件。

Deep well drillstring is scatter to umpty dimensional beam unit along axes. Lengthwise vibration equation of whole drillstring is found with three-dimensional dynamic finite element method. With this equation and improved Ritz Vectors, dynamic response analysis and calculation of drillstring is carried out, also, the method of vibration model splice is used.

将深井钻柱沿轴线离散为若干个空间直粱单元，用三维动力有限元法进行振动分析，得到整体钻柱结构的纵向振动方程，用改进的Ritz向量法及振型迭加法对钻柱进行动力响应分析和计算。

Since symplectic algorithms were brought forward by Kang Feng, two overflying developments took on: one is the generalization from finite dimensional Hamiltonian system to the infinite dimensional, the other is the generalization to multisymplectic algorithms.

自从冯康院士提出辛算法以后，这一算法有了两次大的飞跃和发展，一次是从有限维向无限维的推广，一次是向多辛算法的深入发展。

We obtained the nasal deformation with three-dimensional reconstruction images and adjusted to separate the images of nasal cartilage, defined the form and structure of nasal deformation. Then we measured 10 cases of adult cadavers nasal alar, lateral and septal cartilage through modern mechanical measuring instruments, to obtain the elastic modulus of above three part structure of nasal cartilage, then to obtain more accurate nasal cartilage elastic modulus data through statistical analysis. At the same time, according to the relevant literature, we obtained nasal soft tissue biomechanical properties, mainly were elastic modulus and Poisson\'s ratio. Finally we established three-dimensional finite element analysis model of unilateral cleft lip nasal deformation, defined the model\'s constraint conditions and carried out biomechanical measurement and analysis of unilateral cleft lip nasal deformation.

将唇裂鼻畸形患者鼻部进行三维重建并调校，分离出外鼻软骨的影像，并对鼻部组织进行分层和重建，确定畸形鼻的形态和组织结构；通过现代力学测量仪器，对10例成人尸体鼻部的大翼、侧鼻和中隔软骨进行弹性模量的测量，获得上述三部分鼻部软骨结构的弹性模量数据，并通过统计学分析来获得较为准确的鼻部软骨结构的弹性模量数据，同时查阅相关文献，得到鼻部软组织的相关生物力学性质，主要为弹性模量和泊松比；建立单侧唇裂鼻畸形的畸形鼻部三维有限元分析模型，确定有限元分析的边界条件等，进行单侧唇裂鼻畸形的鼻部生物力学的测量和分析。

Flow around elliptical microplane, which concerns with three-dimensional separation flow, was numerically studied by solving three-dimensional incompressible Navier-Stokes equations with finite volume method.

本文采用有限体积法，基于三维、不可压缩的Navier-Stokes方程组，在二次开发STAR-CD网格生成软件的基础上，对涉及椭圆形微型飞机的三维分离流进行了数值研究。

In the days of sailing vessels the crew were afraid they would be becalmed on the ocean.

在使用帆船的时代，船员们担心他们会因为无风而无法在海洋上航行。

As long as foreign donors pay the PA's salary bill, few expect a new intifada.

只要外国继续为巴权力机构的薪水买单，希望发动新暴动的人便寥寥无几。