离散

That is, any function from a discrete metric space to another bounded metric space is Lipschitz continuous, and any function from a discrete metric space to another metric space bounded by 1 is short.

就是说，从离散度量空间到另一个有界度量空间的函数是李普希茨连续的，而任何从离散度量空间到另一个有界于 1 的度量空间的函数是短映射。

According to the LLA, the corresponding relationships are established between the trajectories of discrete time state and discrete time control vectors in the ergodic space.

在遍历空间中，建立了离散时间形式的溶质带演化轨线和离散时间控制矢量之间的对应关系。

Digital signature ; proxy digital signature ; discrete logarithmic problems ; elliptic curve discrete logarithmic problems ; elliptic curve digital signature algorithm

数字签名；代理数字签名；离散对数；椭圆曲线离散对数；椭圆曲线数字签名

At the same time, they proved that a multipartite matroid is representable if and only if the corresponding discrete polymatroid is representable.

他们的工作具有令人振奋的结果：通过研究多部拟阵和离散多拟阵之间的关系，他们得到了多部存取结构为理想存取结构的一个必要条件和一个充分条件，并且证明了一个多部拟阵是可表示的当且仅当其对应的离散多拟阵是可表示的。

By extending the method of the perturbation control applied to 1-D systems to 2-D discrete dynamical systems, we study its control on spatial chaos in the sense of space.

空间混沌的参数微扰控制将一维系统的参数微扰控制拓展到2-D离散动力系统上，真正从空间意义上研究2-D离散动力系统的混沌控制，实现了其空间混沌的控制，并利用Lyapunov第一方法给出了不动平面稳定的一个充分条件。

Then a filled function method for the integer programming problem is proposed,which tries to find a better discrete local minimal solution of the problem by minimizing a filled function.

该方法通过寻找填充函数的离散局部极小解以期找到整数规划问题的比当前离散局部极小解好的解。该文的算法是直接法，数值试验表明算法是有效的。

In view of underground engineering settlement discrete monitoring data analysis requirements,a new method of color image of nephogram rendering is proposed,in thought of measuring changes in the numerical and color parameters is the dispersional of numerical characteristics,by summing up the various nephogram generation.

利用测量数值是连续变化的和颜色参数是离散数值的特点，针对地下工程沉降离散监测点的数据分析要求，通过总结各种云图的生成方法，提出了一种新的绘制彩色云图的方法。

The mathematical model is dispersed by finite-volume method and the dispersed equations are solved by SIMPLER algorithm. This is the first time to solve a problem of drilling fluid mechanics with the numerical method of Newtonian fluid mechanics.

5首次将牛顿流体力学经常采用的数值方法用于钻井流体力学的研究中：用有限体积法离散钻井液流动和传热的数学模型，用Simpler算法求解该数学模型的离散化方程。

The modeling theories on dynamics of flexible multibody system are reviewed.In chapter 2, the geometric nonlinear relationship between strain and displacement is utilized in describing the nonlinear displacement field. The FEM discrete model of the arbitrary flexible beam in non-inertial frame is derived by the Kane's method.

第二章从几何非线性应变-位移关系描述非线性变形场，使用有限元方法离散三维任意截面柔性梁，用Kane方法对离散的模型建立动力学方程，并通过算例验证了算法的正确性和可行性。

According to fully implicit method, seepage model of low-permeability fractured gas reservoirs are discretized with finite difference method, and corresponding numerical model, coefficient matrix and matrix element are obtained; then based on modern software engineering, numerical simulation software was correspondingly developed with Fortran95 programming language

按照全隐式离散化方法，采用有限差分方法对低渗裂缝性气藏渗流数学模型进行了离散，得到了相应的数值模型、系数矩阵和矩阵元素。然后基于现代软件工程的基本思想，用Fortran95语言开发了相应的数值模拟软件

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。