连续的

The basic idea is to set a continuous solution of the region with a finite number of discrete points instead of a grid consisting of, these discrete points called grid nodes the solution of a continuous area on a given function of continuous variables used in the definition of discrete grid variable function approximation the original equation and boundary conditions in the micro-business operators to approximate differential, integral with the points and to approximate, so the original differential equations and boundary conditions are replaced by algebraic equations near Side, that is, finite difference equations , solve this equation group can get the original problem in discrete points on the approximate solution.

基本思想是把连续的定解区域用有限个离散点构成的网格来代替，这些离散点称作网格的节点；把连续定解区域上的连续变量的函数用在网格上定义的离散变量函数来近似；把原方程和定解条件中的微商用差商来近似，积分用积分和来近似，于是原微分方程和定解条件就近似地代之以代数方程组，即有限差分方程组，解此方程组就可以得到原问题在离散点上的近似解。

Week 4 The definition of continuous, the nature of continuous function, integral of elementary functions, the nature of elementary functions on closed interval

第4周 连续的定义，连续函数的性质，初等函数的连续性，闭区间上连续函数的性质。

On this basis, we give the characterization of the compact set in E〓,τ

引入了模糊数网的最终等度左连续概念，利用它得到了模糊数序列在水平收敛意义下存在极限的一个充要条件，在此基础上给出了空间E〓，τ(l中紧集的特征刻画，即空间E〓，τ(l中的闭集U是紧的当且仅当U一致支集有界，且U的每个网有在（0，1上最终等度左连续、在λ=0处最终等度右连续的子网。

In Chapter 1,some elementary knowledge was introduced,such as theBernstein-Bezier representation for polynomials,conform triangulation,theconditions of convexity for Bézier spline surfaces,the funtional andgeometric continuity condition for neibour Bézier surface patches etc.,specially,based on the Liu-Ding-Yuan Theorem for geometric continuity,some simple and practical conditions were obtained.

第一章介绍一些基本知识，如多项式的Bernstein-Bézier表示，相容三角剖分的定义，Bézier三角样条曲面保凸的条件，相邻Bézier曲面片函数连续和几何连续的条件等，特别地，在刘鼎元关于几何连续条件的一般定理的基础上，导出了几个较简单的实用的一阶几何连续条件。

Based on the decided configurations, the continuity condition of combined Bezier curve in Euclidean space and De Casteljau algorithm on Lie group SO(3) are integrated to construct a combined Bezier positioning path of C^2 continuity at junctional configuration, and an illustration of different positioning path planning is analyzed in detail based on a liver tumor case.

根据确定的位姿，把组合Bezier曲线的连续条件和SO(3)的De Casteljau算法结合，构造出了一条在衔接位姿C^2连续的组合Bezier曲线路径用於定位，并且根据一例肝脏肿瘤病例对各种连续路径作了详细分析。

In this paper,several continuous variables are introduced to replace the discrete decision variable s,most importantly the pipe .

在数学模型中，引入连续变量代替离散的决策变量，这些连续变量是管道的"分段长度"，将混合整数非线性规划问题转化成连续的非线性规划问题。

Week 5 The definition and nature of derivative, the geometric meaning of derivative, the relation between the derivability and the integral, derivation rule.

第4周 连续的定义，连续函数的性质，初等函数的连续性，闭区间上连续函数的性质。

Simple step function, discontinuous function characterized by continuous segments between points of discontinuity and continuous function, and multi--type of components in a redundancy subsystem considered, a mixed integer nonlinear planning model for redundancy and reliability optimization was presented.

考虑子系统中冗余组件的多样性以及可靠性-成本之间可能的三种函数关系，即简单的阶跃函数、连续函数以及分段连续而在分段点不连续的非连续函数，建立了可靠性冗余优化的混合整数非线性规划数学模型，并以实例进行了说明。

Firstly, we give the geometric interpretation of the scheme.Secondly, we use the method developed in Dyn's original four-point paper to discuss the sufficient conditions for the limit curve to be C0,C1,C2 respectively.

首先给出了算法的几何意义，然后我们用Dyn在1987年发表的四点法中使用的办法，详细讨论了极限曲线连续，一阶连续，二阶连续的充分条件。

The PAS positive layer was seen between neo-dermis and epidermis at the peripheral wound 5 weeks after wounding, while the central wound exhibited incontinuous PAS positive layer.

在第3周时，在新生表皮下方与新生真皮的部位之间见不连续的PAS阳性带，在第5周时，创面外周见连续的PAS阳性带，而在创面中央处仍不连续。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷