查询词典 dimensional

First, in Chapter 3, a two-dimensional interacting birth-death process is established and by means of two-dimensional moment generating function, the equivalence in mean between our model and the classic prey-predator model are proved.

这部分包括第三，四章。在第三章，我们建立了一类新的随机捕食-被捕食模型，并证明了新模型在平均意义上与经典的捕食-被捕食模型的等价性，讨论了其灭绝性，平衡态分布等。

Methods Ten fresh-frozen foot specimens, three-dimensional kinematics of talonavicular joint were determined in the case of neutral position, dorsiflexion, plantoflexion, adduction, abduction, inversion and eversion motion by means of three-dimensional coordinate instrument （Immersion MicroScribe G2X） before and after calcaneocuboid arthrodesis under non-weight with moment of couple, bending moment, equilibrium dynamic loading.

方法10只新鲜尸体足标本，通过建立非负重位尸体足模型，结合力偶矩、弯矩及平衡加载方法，应用三维坐标仪测量分析跟骰关节融合前、后距舟关节在大体足背屈、跖屈、内收、外展、内翻及外翻运动中的三维运动度变化。

Firstly, the stope vacancy was monitored using CMS, taking cavity measured data as foundation, cavity three-dimensional model of the stope opening was created using Surpac software and gain the stope three-dimensional configuration and the actual boundary accurately. Then, the stope designed model and ore-rock interface digital terrain model were established according to the stope design material. Finally, using ore-rock interface DTM to cut cavity model or through Boolean calculation among the models, ore remains, mining total volume, mullock, backfilling, pure ore and dilution rate of stope N3-4 were calculated accurately, thus the large-scale stope mining index visible calculation was realized effectively.

采用CMS探测三维采场空区，以空区实测数据为基础运用Surpac构建采空区三维可视化模型，获取采场空区的三维形态和实际边界；运用采场设计资料，建立采场回采设计模型及矿岩边界模型，通过模型间的布尔运算，计算出采场存留矿量、回采总体积、采下废石量、采下充填体量、采下纯矿石量、回采总量及回采贫化率等，从而有效地实现了大规模采场回采指标的可视化计算。

Methods:32 patients with atrial septal defect were examined with transthoracic two-dimensional and multiplane three-dimensional echocardiography.

介入封堵术近年来已成为治疗房间隔缺损的常规手段，而术前准确测量房间隔缺损的大小具有重要的意义。

In light of the convergence theorem obtained in Chapter 2, a result on topology preservation of 2-dimensional SOM algorithm with continuous inputs is given. In Chapter 4, an equivalence relation on n dimensional Euclidean space, called equi-action relation, is introduced and a number of properties on this relation are studied.

指出了已有的有关SOM算法拓扑保序定义的缺陷，并在此基础上，给出了一个具有连续输入的二维SOM算法的拓扑保序新定义；利用第二章中的收敛性定理，我们进而获得了一个具有连续输入的二维SOM算法的拓扑保序性定理。

In this paper, we use this numerical method and adopt operator splitting method to simulate the conduction model of action potential in two-dimensional cardiac ventricle tissue,the conduction model of the action potential in two-dimensional cardiac ventricle tissue is denoted by one reaction-diffusion equation with a series of ODE describing ionic channels of cell, at the same time,we adopt the compact alternate direct implicit difference method to simulate that model,compar-ing these value results,get some conlusions.

本文中，我们利用摄动有限差分方法和算子分裂思想去模拟二维心室肌中动作电位的传导模型，该模型由一个描述细胞离子通道的常微分方程组和一个反应扩散方程组成。

On the base of analysis of one dimensional linear interpolation method, two dimensional linear interpolation method in oblique angled rectilinear coordinate system is obtained.

在分析一维线性插值的基础上，得到了任意斜角直线坐标系下二维线性插值的一般计算公式以及有唯一解的条件，并将其应用于平面温度场的计算。

Based on image we study the tool path generation technology and problem of tool path planning. We put forward an algorithm for self-discrimination of island relation and an automatic intersected method of the region machining unit, which can judge the relationship among any plane obturate contour line effectively and swiftly. We also study the tool path generation technology of two-dimensional machining, basso-relievo machining, three-dimensional lifting-pen machining. Meanwhile, we put forward an optimize approach of tool path, which improve the efficiency of engraving.

研究了图像的刀具路径生成技术与轨迹规划问题，提出了基于射线的岛屿关系自动判断和区域加工单元的自动分割方法，有效、快速地判断了平面任意封闭轮廓线之间的关系，研究了平面任意区域填充加工、浮雕加工、三维提笔加工的刀具路径生成的技术，提出了刀具路径优化方法，提高了雕刻加工的质量和效率。

We put forward an algorithm for self - discrimination of island relation and an automatic intersected method of the region machining unit , which can judge the relationship among any plane obturate contour line effectively and swiftly . we also study the tool path generation technology of two - dimensional machining , basso - relievo machining , three - dimensional lifting - pen machining . meanwhile , we put forward an optimize approach of tool path , which improve the efficiency of engraving

研究了图像的刀具路径生成技术与轨迹规划问题，提出了基于射线的岛屿关系自动判断和区域加工单元的自动分割方法，有效、快速地判断了平面任意封闭轮廓线之间的关系，研究了平面任意区域填充加工、浮雕加工、三维提笔加工的刀具路径生成的技术，提出了刀具路径优化方法，提高了雕刻加工的质量和效率。

The first is that a symplectic structure or a Poisson structure exists on the even dimensional phase space or on the odd dimensional phase space of the corresponding equations. The second is that there is another symplectic structure or another Poisson structure on the generalized phase space which consists of original phase space and independent variable space.

第一、系统在相空间上存在一个一般辛结构或者Poisson结构；第二、系统整体在包括了自变量的增广空间上存在一个一般辛结构或者Poisson结构；第三、第一个结构若是依赖于自变量，那么系统必然受到外力作用（偏微分方程也有特殊的情形，我们在第五章会加以说明），而第二个结构的则给出了第一个结构和外力之间确切的对称关系。

That snake Alaric named Archbishop...

庇护。。。那个毒如蛇蝎的Alaric被命名为大教主。。。

You have done lots of magical things to be amazed at.

你做了很多神奇的事物感到惊讶。