查询词典 monotone function

In this paper, the validity of sequential uniform design for monotone function by rate jump was point out.

本文进一步证明了"二维序贯均匀等距设计"对跳比单调函数类的有效性。

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。

Through the research of binomial probability distribution function,it has been proved that the PDF is a monotone increasing function of probability p and allowable failure time r in test,and is a monotone decreasing function of test time n.

通过对二项分布函数的研究，证明它是关于概率p和试验中允许失败次数r的单调增函数，是关于试验次数n的单调减函数。

The second chapter mainly concentrates on obtaining some operator monotone function.

第三章研究在推广了的算子序关系下的α-幂平均函数。

The validity of sequential uniform design for revolving monotone function was point out.

已经证明了二维序贯均匀设计对旋转单调函数类的有效性。

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。

Thetemperature distribution of radial appears monotone function in electricconducting sample, and appears undulation in insulating sample.

径向的温度分布为：导电样品中呈单调分布，绝缘样品中呈波浪分布。

The Legendre transformation generated by uis 〓where uis a convex-monotone function,〓 is the normal mapping of u.

引进函数u的Legendre变换〓（3）这里u为凸单调函数，〓为u确定的法映射。

Using the method of analysis to study strong limit theorem proposed by professor Liu Wen, and a plying Legbesuge theoremon differentiability of monotone function, a new proof of the theorem of strong law of large numbers for the sequence of random variables of the product distribution of Poisson is forwarded.

利用文献[1]刘文教授提出的研究强极限的纯分析方法，通过构造适当的辅助函数，然后利用单调函数异数存在定理，给出具有乘积泊松分布的随机变量序列的一个强大数定理的新证明。

To a one-dimension case, the solution to the distribution of non-monotone function is given; to a two-dimension case, the transformation of random variable and the computation formula of its probability density are given when inverse transform has one value and multiple value, meanwhile, several deductive conclusions are obtained.

从一维与二维随机变量函数的分布的一般求法出发，对一维情形，给出了当随机变量函数非单调时其分布的求法；对二维情形，用随机变量变换的方法分别给出了当逆变换单值与多值时其分布密度的计算公式，并得到了若干推论。

Finally, according to market conditions and market products this article paper analyzes the trends in the development of camera technology, and designs a color night vision camera.

最后根据市场情况和市面上产品的情况分析了摄像机技术的发展趋势，并设计了一款彩色夜视摄像机。

Only person height weeds and the fierce looks stone idles were there.

只有半人深的荒草和龇牙咧嘴的神像。