查询词典 monotone function

Then we prove a nonsmooth minimax theorem by usingsome relative results about multi-valued maximal monotone mappings. Finally, we construct a nonsmooth minimax network to search for thesaddle points of the saddle functional. We have also proved that thetrajectory of the network is asymptotically convergent to thesaddle point of the saddle functional by usying Lyapunov function.

我们先介绍有关Clarke的广义梯度，次梯度及鞍泛函的有关结论；然后利用多值极大单调映象的满射性结果证明了一个非光滑的minimax定理；最后建立了一个非光滑的minimax神经网络来求解泛函的鞍点，并在一定的条件下构造出LYAPUNOV函数来证明网络的轨道渐近收敛于鞍泛函的鞍点。

V Roytburb′s results are generalized to inhomogeneous cases.Firstly,a monotone approximation to the flat function p is constructed,then the solutions of corresponding mudification system are estimated.

将V Roytburb的结果推广到非齐次情形，先对平坦函数p进行单调修正，再对修正方程组的解进行估计，最后比较原方程组的解和修正方程组解之间的关系。

The macroscopic rheological parameters and microstructure parameters were closely related, it is helpful to explain the essence of multiple rheological properties through the analysis of which the wax evolution process and microstructure of the crude oil which is waxy and high viscosity; the yield time of gelled waxy crude oil monotone increases along with the decreasing of rate of shear (the time of stress effect prolonged), there was power function relationship between them, it can be expressed with ; when adding diesel oil to Sudan crude oil, dilute proportion bigger the eccentricity degree of paraffin particles were bigger too, that was to say the symmetry of wax crystal was better, the wax crystal form fabric more hardly when the intermolecular interaction was smaller; in the light of macroscopica, the fall extent of the abnormity temperature, solidifying point and viscosity could be larger along with the accretion of dilute proportion, as a result, it's rheological properties could be improved.

SD原油析蜡点为94℃，析蜡高峰为50～30℃，异常点为40℃；其蜡晶颗粒细小、对称性差，所以具有较大的比表面能，容易形成联生、联锁结构；损耗角曲线与储能模量曲线或损耗模量曲线的交点所对应的温度与原油凝点或倾点温度非常接近，大约在39℃左右；也就是说，含蜡原油粘弹特性曲线的交点可以表征其流动性；原油宏观流变参数与微观结构参数密切相关，原油析蜡过程及蜡晶微观结构分析有助于诠释易凝高粘原油多重流变特性的本质；胶凝含蜡原油的屈服时间随剪切速率的降低而单调增加，二者显然存在幂函数关系，可用关系式描述；当SD原油加柴油稀释处理时，稀释比越高，蜡晶颗粒的偏心度也越大，亦即蜡晶对称性越好，分子间作用力越小，蜡晶颗粒越不易形成结构，宏观表现为异常点、凝点及表观粘度等流变参数下降的幅度越大，流动性越好。

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。

In this article we introduce the monotone span programs and bull function firstly. Then we introduce access structures and secret sharing schemes.

本文首先介绍了单调张成方案和布朗函数，再介绍了存取结构和密钥共享体制的概念。

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。

As a special example, our theorem is also applicable to the case that the reaction function is monotone. And our theorem is consistent to the previous concludes.

作为一个特例，即反应项是拟单调的，我们的构造耦合拟上解和拟下解的方法也适用并且与以前文献的结论一致。

The monotone property of multivariate function proved that the maximum stress strength point exists on the inner surface of

应用多元函数单调性理论，证明了在三轴应力条件下管体中最大应力强度值出现在套管内壁。

And the sufficient and necessary conditions of the monotone set function which is continuous of the empty set and the full set are given.

李军[6]引入了强序连续性概念，证明了单调测度空间上实值函数的Lebesgue定理成立的充要条件是单调集函数具有强序连续性。

But GST= 0.156, Nm=1. 588. As a result, the foundation of Youyongchi Avicennia marina population was the result of the migration of hypocotyles and human factors.

这项工作可以为海岸防护林中新引进种类的判定以及为研究种群建立者效应方法的确定提供科学依据。

The two-dimensional CDRC-ADI-FDTD update equations for collision unmagnetized plasma are induced. The unconditional stability of the CDRC-ADI-FDTD formulation for collision unmagnetized plasma is obtained by the examples.

推导了碰撞非磁化等离子体中的二维CDRC-ADI-FDTD迭代公式，并用算例验证了碰撞非磁化等离子体CDRC-ADI-FDTD算法也是无条件稳定的。