查询词典 monotone increasing function

This paper gives a concept of Lebesgue-Stieltjes measure in monotone increasing left continuous bounded function and discuss some properties.

以单调递增左连续有界函数 f 给出了 Lebesgue-Stieltjes测度的概念，进一步讨论了由它产生的若干相应的性

In this paper, the convergent conditions in sequence or parallel update mode and the sufficient condition with only one global stable state for Hopfield network model with discrete time and continuous states when its neurons' activation function is non-decreasing (not being strictly monotone increasing) are discussed.

主要讨论离散时间连续状态的Hopfield网络模型中当神经元的激活函数为单调增函数时，并行和串行收敛的充分条件以及具有全局惟一稳定点的充分条件。

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。

By calculating the sub-cluster parameters and the total antioxidant capability parameter of some kinds of fresh vegetable with diet therapy function, we found that there is clear linear correlation between distribution parameters of biopolymer active center elements (1-x)1/3ln(r1r2/k)、(1-x)1/3ln(k2r1/r2) and antioxidant capability parameter ln[F(1-x)3], and which show monotone decreasing and monotone increasing respectively.

同时对更大范围内的9大类蔬菜和5大类水果的生物高分子活性中心元素分布及其维生素C及维生素E含量进行了考察，结果发现群子统计参数(1-x)1/3ln(r1r2/k)、(1-x)1/3ln(k2r1/r2)与维生素C、E含量参数lnVc(1-x)3、lnVe(1-x)3均分别呈单减和单增的线性关系。

Researches have shown that, the maximal zero effort miss which could be corrected is monotone increasing function of structure acceleration, time to go and fuel specific impulse if combustion time is equal to time to go.

研究表明：当装药燃烧时间等于待飞时间时，拦截弹可消除的最大零控脱靶量可用结构加速度、待飞时间与燃料比冲的解析表达式描述，且是三者的单调增函数。

In chapter 2, we firstly introduce the model of a discrete-time neural network with generalized input-output function. The model generalizes the input-output function in transiently chaotic neural network to a class of continuous, differentiable and monotone increasing functions. Secondly we study the uniformly asymptotical stability of equilibrium in the non-autonomous model. Finally, several examples and numerical simulations are given to illustrate and reinforce our theories. In chapter 3, we firstly introduce a specific class of discrete-time neural network models with sinusoidal activation function.

在本文的第二章中，首先介绍了一类具有广义输入输出函数的非自治离散神经网络模型，该模型把瞬时混沌神经网络模型中的输入输出函数推广到了一般的单调递增且连续可微的函数；其次，利用Schauder不动点原理和利用Lyapunov函数逆定理依次证明了模型平衡点的存在性和该模型在时变权值下的一致渐近稳定性；最后，对几个具体的例子进行数值模拟，数值模拟的结果更好地说明了我们的结论。

The model generalizes the input-output function in transiently chaotic neural network to a class of continuous, differentiable and monotone increasing functions. Secondly we study the uniformly asymptotical stability of equilibrium in the non-autonomous model. Finally, several examples and numerical simulations are given to illustrate and reinforce our theories. In chapter 3, we firstly introduce a specific class of discrete-time neural network models with sinusoidal activation function.

在本文的第二章中，首先介绍了一类具有广义输入输出函数的非自治离散神经网络模型，该模型把瞬时混沌神经网络模型中的输入输出函数推广到了一般的单调递增且连续可微的函数；其次，利用Schauder不动点原理和利用Lyapunov函数逆定理依次证明了模型平衡点的存在性和在时变权值下的一致渐近稳定性；最后，对几个具体的例子进行数值模拟，数值模拟的结果更好地说明了我们的结论。

He is the most remarkable man that I have ever known.

他是我知道的人中最值得注意的人。

Increased appearance of lymphocele was noticed in patients with diabetic nephropathy, congenital malformations of the urinary tract, and inflammatory diseases, including glomerulopathy and extraglomerular ones, after high-voltage radiotherapy and after removal of the renal graft.

经过高压放射疗法和切除移植肾后，在糖尿病肾病患者、泌尿系统先天性畸形患者和炎症患者身上发现淋巴囊肿有所增加，包括肾小球病和球外疾病等。