连续性

Based on theory of ore forming,the concept of mineral content density is first established.

从成矿理论出发，先提出含矿密度的概念，然后根据 3种不同类型的矿床成矿原理假设矿体含矿的连续性。

In chapter two, under non-Lipschitz condition, the existence and uniqueness of the solution of the second kind of BSDE is researched, based on it, the stability of the solution is proved; In chapter three, under non-Lipschitz condition, the comparison theorem of the solution of the second kind of BSDE is proved and using the monotone iterative technique , the existence of minimal and maximal solution is constructively proved; in chapter four, on the base of above results, we get some results of the second kind of BSDE which partly decouple with SDE, which include that the solution of the BSDE is continuous in the initial value of SDE and the application to optimal control and dynamic programming. At the end of this section, the character of the corresponding utility function has been discussed, e.g monotonicity, concavity and risk aversion; in chapter 5, for the first land of BSDE ,using the monotone iterative technique , the existence of minimal and maximal solution is proved and other characters and applications to utility function are studied.

首先，第二章在非Lipschitz条件下，研究了第二类方程的解的存在唯一性问题，在此基础上，又证明了解的稳定性；第三章在非Lipschitz条件下，证明了第二类BSDE解的比较定理，并在此基础上，利用单调迭代的方法，构造性证明了最大、最小解的存在性；第四章在以上的一些理论基础之上，得到了相应的与第二类倒向随机微分方程耦合的正倒向随机微分方程系统的一些结果，主要包括倒向随机微分方程的解关于正向随机微分方程的初值是具有连续性的，得到了最优控制和动态规划的一些结果，在这一章的最后还讨论了相应的效用函数的性质，如，效用函数的单调性、凹性以及风险规避性等；第五章，针对第一类倒向随机微分方程，运用单调迭代方法，证明了最大和最小解的存在性，并研究了解的其它性质及在效用函数上的应用。

A minimax theorem generally involves three assumption conditions: space structures on sets X and Y, the continuity of the functions and the concavity and convexity of functions.

一个极大极小定理一般涉及三个假设条件：集合X和Y的空间结构，函数的连续性和函数的凹凸性。

If moreover the domain is a smooth open set in a Carnot group, the energy minimizer is locally Lipschitz continuous.

如果进一步假设定义域是Carnot群中的区域，作者证明了能量极小解的局部Lipschitz连续性。

We utilize the minority carrier equilibrium continuity equations and semiconductor material absorption of photo to get the expression of current induced by photo.

利用少数载流子的稳态连续性方程和半导体材料对光的吸收，求出光电流的表达式。

The authors prove that the two classes of algorithms hold the continuity properties in the cases of fuzzy modus ponens and fuzzy modus tollens.

证明了在模糊假言推理和模糊拒取式推理情形，这两类算法都拥有连续性。

Some of these monasteries still exist and their communities can boast of an unbroken continuity from those early days.

其中的一些寺庙依然存在和他们的社区可以夸耀的不间断连续性从这些初期。

Authors suggest that uranium ore formation occurred after the appearance of the above subsidiary tectonic units, and sandstone bodies of the Ⅱ,Ⅲ,Ⅳ,Ⅶ cycles, Shuixigou Group in the southern syncline, and sandstone bodies of the Ⅰ,Ⅱ,Ⅲ,Ⅴ cycles, Shuixigou Group, as well as sandstone bodies of Xiaoquangou Group in the northern monoclinal zone, they are ...

文章认为铀成矿作用发生在这些次级构造单元形成之后，且具有找矿前景的是南部向斜带水西沟群第Ⅱ、Ⅲ、Ⅴ、Ⅶ旋回砂体和北部单斜带水西沟群第Ⅰ、Ⅱ、Ⅲ、Ⅴ旋回砂体及小泉沟群砂体。从容矿层位连续性、分布面积、砂体特征及层间氧化带发育特征等成矿条件看，北部单斜带铀成矿条件和找矿前景均优于南部向斜带。

In this paper, by using the cone theory and mixed monotone iterative technique, the fixed point theorems for a class of mixed monotone multivalued operators in Banach spaces without continuity and compactness are invetigated. The results presented here develop some known ones.

利用锥理论和混合单调迭代序列技术，在不要求任何紧性和连续性的情况下，证明了Banach空间中的一类混合单调集值算子不动点定理，并应用到一阶集值方程中，推广了某些已知结果。

Based on the characteristic of temperature variation in plate rolling process, a monotone function of control temperature and finish temperature can be got.

温度对TMCP工艺影响很大，其中控温温度和终轧温度又相互影响，为此分析了中厚板轧制过程中温度的变化特点，将控温温度与终轧温度之间的关系转化成一个单调增函数，然后提出了相应的优化算法，以避免该单调增函数的不连续性，并利用二分法快速求出控温温度的具体值。

She gently rebuff ed him, but agreed that they could be friends

她婉言拒绝了，但同意作为朋友相处。

If in the penal farm, you were sure to be criticized.

要是在劳改农场，你等着挨绳子吧！