查询词典 finite dimensional

Based on three dimensional transient heat conduction equation and elastic stress-strain equation, the temperature rise, distortion and equivalent stress distribution of white bijou window irradiated by high power annular beam (λ=1.315 μm) are simulated using a three dimensional finite element model.

基于三维瞬态热传导方程和弹性应力－应变方程，研究了空心环形强激光束（波长1.315μm）辐照下白宝石窗口温度、变形和应力的分布规律；研究了空心矩形强激光束（波长3.8μm）辐照下氟玻璃窗口温度、变形和应力的分布规律。

The necessity of the 3-dimensional modeling of the human foot-skeleton is discussed,and considering its characteristics such as being small and having complex shapes and a large quantity of bones and joints,the approach to the 3-dimensional finite element modeling of human foot-skeleton based on CT images with the thickness of 2 mm is studied.

讨论了建立人体足部骨骼有限元模型的必要性；针对其形状复杂、数量多、体积小和关节多的特点，分析探讨了基于2 mm层厚的CT图像建立人体足部骨骼三维有限元模型的主要途径。

The Galerkin's method was used to truncate the infinite-dimensional partial differential equations into a set of finite-dimensional ordinary differential equations with time dependent coefficients,which can be solved with numerical methods.

对于电梯工业来说，目前世界上绝大部分电梯仍然是依靠钢丝绳提升的曳引式电梯。

The field solutions are verified by both an analytical two-dimensional algorithm and three-dimensional finite element software. A rapid method is presented for extensile analyzing and optimizing Halbach cylinder magnet.

通过其二维解析解和三维有限元软件验证了本文推导的三维场解，为分析和优化应用日益广泛的Halbach磁体结构提供了一种快速灵活的分析方法。

In order to meet the needs of numerical calculation of mining engineering, two microcomputer programs on three dimensional and two dimensional nonlinear finite element method are developed based on many other researchers' works.

考虑到回采系统动态模拟和优化需要进行大量的计算工作，在前人工作的基础上，本文发展了微机化非线性三维和二维有限元程序。

In this paper, a code TFEM-2D (Triangular Partition, Finite Element Method Two-dimensional Problem) for the few-group, two-dimensional, geometrical neutron ...

本文在FELIX C－512计算机上用FORTRAN Ⅳ语言编制了在、几何下的二维少群中子扩散程序TFEM－2D（Trianglular Partition； Finite Element Method Two－dimensional Problem）。

In this paper, the finite point method is used to obtain numerical solutions of one-dimensional and two-dimensional inverse heat conduction problems with a source parameter, and the corresponding discrete equations are obtained.

本文利用无网格有限点法求带有源参数的一维和二维热传导反问题，推导了相应的离散方程。

The infinite dimensional inverse problem was approximated by a problem in the finite dimensional space by using approximation theory.

将该算法应用于复杂函数的自动演化建模，也取得了理想的效果，因此该算法具有良好的通用性。

For the original infinite dimensional problem, if the inexact quasi-newton method with Broyden updating can not converge quickly , for example, it can not attain super linear convergence rate , then when the discretization is becoming finer and finer , we can not get fast convergence rate for the corresponding finite dimensional problem.

对于原来的无限维问题，如果使用不精确Broyden方法不能得到较快的收敛速度，比如超线性收敛性，那么当离散化逐渐加细的时候，对于所得的有限维问题使用不精确Broyden方法也不可能得到较快的收敛速度，所以有必要在无穷维空间上对收敛性问题加以分析，从而为不精确拟牛顿法结合投影法求解算子方程做好准备。

On the foundation of the conception of orthonormal basis in finite dimensional Euclidean space,this paper provides the theory of completely orthonormal system in infinite dimensional Euclidean space.

从有限维欧氏空间的标准正交基概念出发，构建了无限维欧氏空间的完全规范正交系理论。

I think people in this lifetime in a rebirth.

我觉得人在这一生里其实也在轮回。

He had to tie her hands together.

他不得不把她的双手绑在一起。