连续

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。

That not only could be extended to the continuous random varia- ble,but also the theorem of maximum information measure could be extended to the continuous random variable, which unified the measurement arithmetic of information between distributed random variable and continuous ran- dom variable,and gave two validating models to the information entropy of the continuous random variable in the last.

用公理化的方法，推导出了有限分布列的离散型随机变量的信息量系，不仅将它推广到连续型随机变量，而且将信息量系的最大信息量定理推广到连续型随机变量，统一了离散型和连续型随机变量的信息度量算法。最后利用得出的结论对连续型随机变量信息熵给出两个验证性算例。

Studies showed that there were two typical combinations of the facies in the filling sedimentary sequence of the epicontinental basin, wherein one was the depositional diastem developed between the facies, which was a discontinuous combination of the depositional facies with continuous time sequence, namely the exposed sediments, the tidal flat swamp and the peat swamp, and the shallow marine sediments appeared from bottom to top; and the other was the continuous sequence with gradually evolved sedimentary environment, in which it was a continuous process that the tidal flat swamp turned gradually into the peat swamp.

研究表明：陆表海盆地充填沉积序列中有两种较为典型的相组合，一是相与相间发育沉积间断面，为不连续沉积相组合，但在时间序列上是连续的，即自下而上依次为暴露沉积、潮坪沼泽及泥炭沼泽、浅海沉积；第二种序列是连续相序，盆地的环境演化是渐变的，潮坪沼泽化逐渐泥炭沼泽化是一个连续过程。

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。

DSP is used to realize digital controllers of velocity-loop and position-loop. Analyze and validate that dividing high-level continue controller to several low-level controllers, then discretize the low-level controllers to form series controller can depress the discretization control error.

采用DSP实现速度环和位置环的数字控制器，分析并验证了连续域高阶控制器分解成连续域低阶控制器，将低阶控制器离散后进行串联控制，这种实现方式的数字控制器与连续域控制器之间的控制误差，将远小于直接将连续域高阶控制器离散成高阶数字控制器产生的控制误差。

Whenever a batter hits into a double play, the double play is constituted by a sequence of physical events. It does not follow, however, that we could redene "double play" in terms of precise sequences of physical motions. This is so despite the fact that, if a particular physical sequence constitutes a double play, any physically indiscernible sequence would constitute a double play as well. So being a double play "supervenes" on physical sequences.

无论何时，例如在散打中，一个击打得了两分，这个两分击打是被一连串物理事件所构成，它并不由此得到我们可以根据精确的连续的物理运动来重新定义"双分击打"，尽管事实是，如果一个特殊的物理连续构成了双分击打，但任何物理上难以区别的连续运动也会构成双分击打、（所以，是双分击打，附加在物理连续上。

At first, the existence of extended form of approach to continuous selection for any set valued mapping without any continuity restriction in para-compact metric space is proved ;by the topologically separated mappings , the approximate selection theorem of sub-lower-semi-continuous mapping is established, furthermore , continuous selection problem in H-space is studied. Next, with W-correspondence, an improved variational inequality is obtained ; by the H-KKM mapping ,Ky Fan\'s minimax inequality is generalized to H-space . At last, with H-convexity instead of the linear topological structure, a new version of Browder fixed point theorem is established.Chapter 3 deals with set-valued mapping vector variational inequality and minimax problems.

第二章首先在仿紧的度量空间上对任意的集值映射建立了新的逼近连续选择定理，利用映射的拓扑可分性，在H-空间上建立了次下半连续映射的逼近连续选择定理和一个新的连续选择定理；然后利用W-对应，在H-空间上建立了广义的变分不等式；利用H-KKM映射，在H-空间上建立了广义的KyFan极小极大不等式；最后，利用H-凸性代替拓扑线性结构，在H-空间上建立了一个新型的Browder不动点定理。

In particular, if a mapping F is sublower semicontinuous then F is necessarily almost lower semicontinuous, but the inverse implication is false .

特别地，文中证明了：一个几乎下半连续映射F不必是次下半连续的，但是，次下半连续映射必定是几乎下半连续的。

Take DMSO swollen treatment and DEA-SO2-DMSO decrystallization treatment for example, the X-ray diffraction and the Tobolsky's intermittent stress relaxation of treated woods were determined during soaking in water, analyzed the effects of water on crystal degree and inter-cohesion of treated woods. According to these continuous relaxation curves measured in water with different temperatures, various thermodynamic quantities were obtained by using Eyring absolute rate theory, and reviewed the chemical reactions in wood which occur in different relaxation process. For the first time quantify these crosslinkings formed in the process of tensional relaxation by using the SMCIR intermittent stress relaxation way, and defined the cross-linking reaction types. In order to find out the contribute of drying to the fixation of deformation of chemically treated wood, stress relaxation of oven-dry untreated and treated wood was measured during the process of temperature elevation and descend, then analyzed the effect of temperature change on relaxation mechanism of treated oven-dry wood. According to continuous relaxation curves of oven-dry treated wood under various constant temperature, calculated the thermodynamics of relaxation process and discussed the mechanism of molecule change in wood, at the same time, also quantified these cross-linkings produced in wood by intermittent method and on the basis of which the model of molecular change during relaxation process of chemically treated was constructed.

以DMSO膨胀处理及DEA- SO2-DMSO非晶化塑化处理为例，测定了两种处理木材在水浸渍过程中的X射线衍射及Tobolsky间歇应力松弛，分析了水对处理木材结晶度及内部凝聚力的影响；通过未处理和两种处理木材在不同温度水中的连续应力松弛测定，应用Eyring的绝对速度反应理论计算并获得了松弛过程中的各热力学量，分析了在水中松弛过程中不同阶段木材内部发生的化学反应；并首次采用SMCIR连续·不连续双曲线应力松弛法定量了轴向拉伸应力松弛过程中木材内部产生的架桥量，明确了交联反应的类型；为了了解干燥对处理木材塑性变形固定的影响，测定了未处理和两种处理绝干木材在温度下降过程和上升过程中的应力松弛，分析了温度变化对处理绝干木材应力松弛的影响；根据多个温度水平下的连续应力松弛测定曲线，计算松弛过程的热力学量，考察了绝干木材在松弛过程中内部发生的分子变化机理，同时也用间歇法定量了木材内部新形成的架桥量，并在此基础上构筑处理木材在松弛过程中内部分子构造的变化模型。

A digital phase synthesizer is composed of a continuous phase data signal source, an interpolater to generate continuous edge configuration data signals in response with each continuous phase data signal, and a phase modulator to generate ouput clock signal.

一种数字相位合成器包括一个连续相位数据信号源。一个内插器响应每个连续相位数据信号产生连续边沿配置数据信号。一个相位调制器产生具有放置在由连续边沿放置数据信号确定的时间的边沿的输出时钟信号。

It is also known as one of the most poisonous naturally occurring substances.

它也被称为一个最自然发生的有毒物质。

The greatest stress is found at the location on the cross section where V is the largest.

最大应力出现在横截面上V为最大的地方。