查询词典 infinite interval

Firstly, the existence and uniqueness of the solution for neutral stochastic functional differential equations with infinite delay under the uniformly Lipschitz condition, linear grown condition and contractive condition can be directly derived; And the moment estimate of the solution and the estimate for error between the approximate solution and the accurate solution can be both given; If the uniformly Lipschitz condition is replaced by the local Lipschitz condition, the existence and uniqueness theorem can be gained; Meanwhile, the existence and uniqueness of the global solution in the interval 0,+∞ can also be obtained; Secondly, L~p-exponential estimate of the solution for neutral stochastic functional differential equations with infinite delay can be studied; At length, the theorem of the local solution about neutral stochastic functional differential equations with infinite delay only under the local Lipschitz condition and the contractive condition can be established.

首先，在一致Lipschitz条件，线性增长条件和压缩性条件下，直接得到了具无限时滞中立型随机泛函微分方程解的存在惟一性，并给出了解的矩估计，近似解与精确解之间的误差估计；将一致Lipschitz条件替换为局部Lipschitz条件，也得到了具无限时滞中立型随机泛函微分方程解的存在惟—性，同时，也给出了在整个区间0，+∞上具无限时滞中立型随机泛函微分方程解的存在惟一性定理；其次，也讨论了具无限时滞中立型随机泛函微分方程解的L~p指数估计；最后，在局部Lipschitz条件和压缩性条件下，建立了具无限时滞中立型随机泛函微分方程局部解的存在惟一性定理。

On the whole, we do as follows: Firstly, we list some conceptions and lemmas for later use. Secondly, we define δ-fine partitions for infinite interval and integral of vector-valued functions on infinite interval, and discuss the properties of integral, and characterize its primitives...

主要包括以下五部分内容：在第一部分中，我们介绍了本文所用到的基本概念和引理；在第二部分中，通过定义无穷区间上δ-精细的分法，我们给出了无穷区间上向量值函数的积分的定义，并讨论其性质，还给出了原函数的刻划；在本文的第三部分中，我们着重讨论了无穷区间上向量值函数积分的收敛定理；在本文的在第四部分中，我们首先应用无穷区间上向量值函数积分的收敛定理给出了常微分方程整体广义解的存在性定理，其次应用强积分对Banach空间常微分方程广义解进行了讨论；最后，在第五部分中，我们将模糊积分推广到无穷区间上并给出了其数值计算方法。

In this paper,after the concept of infinite interval estimating and its utmost goodness are built,the optimal relation between infinite interval estimating and relevant hypothesis testing is proved.

在提出无穷区间估计以及其上的最优性概念之后，证明了无穷区间估计与相应假设检验的最优性之间的关系，及推演了若干重要的无穷区间估计的最优性。

Some operational laws of interval-valued intuitionistic fuzzy numbers, score function and accuracy function of interval-valued intuitionistic fuzzy numbers are intriduced. Based on these operational laws, some aggregation operators, including interval-valued intuitionistic fuzzy ordered weighted arithmetic averaging operator and interval-valued intuitionistic fuzzy hybrid aggregation operator, are proposed.

论文摘要：对区间直觉模糊信息的集结算子进行了进一步研究，引入了区间直觉模糊数的一些运算法则、区间直觉模糊数的得分函数和精确函数，并基于这些运算法则，提出了一些新算子：区间直觉模糊数有序加权算术平均算子和区间直觉模糊数混合集结算子。

According to the LC-P line of each of insecticide in the mixture and the formula of co-toxicity factor, several expected mortality and the region of additive action (expected mortality±20% expected mortality) were calculated, and according to observed mortality of mixture, the 95% confidence interval was calculated, LC-P line of expected mortality with the region of additive action and LC-P line of observed mortality with the 95% confidence interval were drawn, it was found that there was overlap between the region of additive action and 95% confidence interval and two lines crossed each other when co-toxicity coefficient was more than 100 and the co-toxicity factor was less than 20, which meant there was no significant differences between expected mortality and observed mortality, and that there was on or a few overlap between the region of additive action and 95% confidence interval when co-toxicity coefficient was more than 100 and the co-toxicity factor was more than 20 or co-toxicity coefficient was less than 100 and the co-toxicity factor was less than 20, which meant there was significant differences between expected mortality and observed mortality.

根据单剂的LC-P线和共毒因子公式，求出混剂的期望死亡率和"相加作用区间"（期望死亡率±20%期望死亡率），根据混剂的实测死亡率求出95%置信区间，画出期望LC-P线及"相加作用区间"和实测LC-P线及"95%置信区间"，发现当共毒系数大于100、共毒因子小于20时，实测LC-P线和期望LC-P线彼此交缠，期望LC-P线的"相加作用区间"和实测LC-P线的"95%置信区间"能高度重叠，表明两条LC-P线之间没有毒力差异；当共毒系数大于100、共毒因子大于20，或者共毒系数小于100、共毒因子小于-20时，实测LC-P线的"95%置信区间"和期望LC-P线的"相加作用区间"只有少量重叠或完全不重叠，体现出了实测LC-P线和期望LC-P线对供试害虫的毒力差异。

The concepts of interval grey number and the rules of four fundamental operations of interval grey number are simply stated, and then the distributive law for multiplication of interval grey number at some conditions is put forward and the distance between two interval grey number is defined.

第三章，简述了区间型灰数的概念及运算规则，给出了关于同性单性区间型灰数分配律定理，定义了区间型灰数的距离，然后利用最优化原理建立了灰关联模式识别公式，从而形成了一种新的灰关联模式识别方法。

Interval slope method is proposed for a class of unconstrained min-max-min problems, in which the objective functions are factorable functions. An interval algorithm is given by interval slope discard tests and interval extension of objective functions. Numerical results are also presented.

讨论目标函数为因子函数的离散无约束min-max-min问题，利用区间斜率，构造目标函数的区间扩张和区问斜率删除原则，建立了求解离散无约束min-max-min问题的区间斜率算法，并给出了数值算例。

As the general interval coloring problem is NP-complete, a property of the program, namely the containment of arrays\' live-ranges, is used to decrease the hardness of interval coloring and simplify it as an interval coloring problem for superperfect graph. Based on this, a judgment theorem for optimal interval coloring together with the implementation algorithm is proposed.

由于一般的区间着色问题是NP完全问题，我们利用程序所具有的一个性质，即数组生命周期的包含性来降低区间着色的难度，将一般的区间着色问题简化为超完美图的区间着色问题，并据此提出了实现最优区间着色的判定条件以及实现算法。

Firstly, we discuss several two-sided confidence intervals of binominal distribution such as: the Standard interval, the Wilson interval, the Agresti-Coull interval, Jeffreys interval, and do some comparative analysis among them, mainly consider the average converage probability and the average expected length of the co...

我们先介绍了二项分布参数的几种双侧置信区间：标准区间、Wilso区间、Agresti-Coull区间和Jeffreys区间，并对它们进行了比较分析，主要从置信区间的平均覆盖率和置信区间的期望长度来考虑。

Some conclusions are obtained:(1) The interval data concept can rationally settle the apart component's dependence problem of monitoring data;(2) The survey point's displacement which is the material parameter's increasing function or deducing function can be used to back-analyse the material parameter's up and down limit; and (3) Both the interval parameter perturbation back analysis method and the interval parameter monotony back analysis method can obtain satisfactory interval parameters.

通过分析得出结论：(1)可利用区间数概念合理解决监测资料中分离分量相关性的问题；(2)可利用工程结构中位移为待反分析材料参数的增函数或减函数的测点位移的上、下限，来反演得到不确定性材料参数的上、下限；(3)工程算例分析表明，区间参数摄动优化反分析法和区间参数单调性优化反分析法都能得到令人满意的参数区间。

In contrast to the ubiquitous rising-sun-with-rays military flag of the Japanese, Chinese banners and ensigns feature a range of designs.

与遍地都是的太阳军旗不同，中国人的旗帜和徽章设计得各式各样。

From their small corner of Feng's Guangzhou headquarters -- a jumble of pink leashes, squeezable rubber steaks, and plastic doggy Santas for Fido's stocking -- Soleil's designers come up with at least five new products a month.

从Feng 设在广州总部的产品展示柜台上可以看到，Soleil的设计师每月至少设计出5件新产品。