查询词典 finite dimensional operator

OBJECTIVE: To establish a three-dimensional finite element model of a mandibular molar with dental implant inserted in mandibular molar area using reverse engineering, and to provide mathematical model basis for biomechanics researches of stomatology.

目的：利用逆向工程快速建立含下颌磨牙种植义齿的颌骨三维有限元模型，为口腔生物力学的研究提供数学模型基础。

It was proved that the existence of an absorbing set and a global finite dimensional attractor which is compact, connected in the function space for the high-frequency modes coupled two Ginzburg-Landau equations.

利用了无穷维动力系统理论，证明了两个高频模态耦合的Ginzburg-Landau方程在函数空间中存在吸引域，因而存在连通的、有限维的紧的整体吸引子。

In this paper, we develop the theory of Killing form over any finite dimensional Hopf algebras, and discuss the deep relations between the non-degeneracy of Killing form and the adjoint representations of Hopf algebras.

中文摘要：本硕士论文的主要内容是在有限维Hopf代数上建立了Killing型的一般理论，揭示了Killing型的非退化性与Hopf代数的伴随表示之间的深刻联系。

Linear Algebra is mainly a subject which studies the linear structure of finite dimensional linear space and its linear transformation while linear concept is in itself from the old Euclid Geometry. The concept of "Linear Space" is a kind of algebraic abstract. In many fields of modern engineering project and technology, because of the influence of computer and graph showing, the algebraic disposal of geometric questions, the visual disposal of algebraic questions, algebra and geometry are tightly combined.

线性代数主要是研究有限维线性空间及其线性变换这一代数结构的学科，而线性概念究其根源则是来自古老的Euclid几何，线性空间概念是几何空间的一种代数抽象，在现代工程技术的许多领域里，由于计算机及图形显示的强大威力，几何问题的代数化处理，代数问题的可视化处理，把代数与几何更加紧密地结合在一起。

However the computation of the finite element method is very complex when dealing high-dimensional problems. So that in order to solve the multi-variables problems, the alternating- direction method appears. It can lower the dimension.

有限元方法虽然具有高精度的优点，但是在处理高维问题时计算很复杂，因此为求解多变量的复杂问题，出现了交替方向法，可以把多维问题降维，分解成连续解几个一维问题。

A variational alternating method which is suitable for studying three dimensional finite cracked solid is given by this paper.

本文给出适用于三维含裂纹有限大体的变分交替方法。此方法的奇次步骤系以文献[10]为基础。

Based on limit balance method and three dimensional finite element method, computer analogue and calculations analysis are carried out to the slope stability of flaccidity soil and rock solid. The two methods can be supplementary to each other through associate application, the outcomes and the practical conditions matched well.

利用极限平衡方法和三维有限元方法对某软弱岩土体高边坡稳定性进行了计算机模拟及计算分析，这两种方法各有优缺点，联合应用可互为补充，最后得出的结果与工程实际情况基本吻合。

Based on limit balance methodthree dimensional finite element method and discrete element method,computer analogue and calculations analysis are carried out for the K83+480～800 road segment of Songming～Daipu highway.

利用极限平衡法、三维有限元法和离散元法对嵩明-待朴高速公路K83+480～800路段边坡稳定性进行了计算机模拟及计算分析。

In this paper, we investigate the light intensity-dependent superprism phenomenon in the two-dimensional Kerr nonlinear photonic crystal by nonlinear finite-difference time-domain technique. We show that when the intensity of the self-pumping beam is increased from 70 to 300 W/μm , the refraction angle of the beam can be tuned about 10 degree.

基于非线性时域有限差分法，我们模拟了克尔非线性光子晶体中的光敏超棱镜现象，结果发现，当光强变化230W/μm时，两束光在空间上能被分开10o，选取较大的基本功率将有助于提高其光强分辨率，。

A two-dimensional axisymmetric finite element model of sampling tube and sediments is built.

建立了取样管与沉积物接触的二维轴对称有限元模型。

The dissecting of samples in group2 were difficult. The root of pulmonary artery and ascending aorta failed to be unfolded because fibrous tissue was tough, right and left fibrous trigone were too firm to be solved by hand. Cardiac muscle fibers couldn't be stripped along myofibrillar trajectory since they were prone to break because of their friability.

组2的心脏解剖困难，表现为纤维组织坚韧，游离肺动脉非常困难；徒手无法松解左、右纤维三角，肺动脉和主动脉根部的游离非常困难；心肌纤维坚硬、质脆，解剖时容易断离成碎块，无法沿纤维走行方向剥离。

We have battled against the odds in a province that has become increasingly violent.

我们对在一个争夺日益激烈省的可能性。