查询词典 infinite interval

Meanwhile, it could be seen that there does not exist a confidence interval with width less than 0.5 because of the property of Poisson distribution. Based on these conditions, the author mainly carried out research into two aspects of this problem as follows. Firstly, by numerical and theoretical analysis, the author compares some existent confidence intervals, for example,"exact" confidence interval, Wald confidence interval and Bayesian confidence interval, and finds some deficiencies points of the confidence intervals, whose modification version has been proposed .Also, several better confidence intervals such asare also presented .Secondly, for given confidence coefficient and interval width, the author constructs a class of asymptotical two-stage interval estimate procedures. At the same time, under varies restriction of confidence coefflcientent interval width, the optional sample size of the first stage has been computed by numerical computation. The numerical computation shows that the method considered in this dissertation have good properties and applied value.

同时，由于Poisson分布的特性，我们知道不存在其参数区间长度小于0.5的置信区间，基于这些情况，我们主要展开了以下两个方面的研究：一是利用数值计算分析与理论分析的方法对现有的若干置信区间如"精确"置信区间，Wald置信区间，Bayes置信区间等进行分析比较，发现了一些缺陷，针对这些缺陷，我们进行适当的修正，并得到几种性质较好的置信区间如：修正大样本区间Jeffreys原则下置信区间二是针对已给定的置信系数与区间长度，我们提出了一种渐近的两阶段区间估计程序，并利用数值计算的方法，在各种置信系数与区间长度限定下，算出了最优的第一阶段观测次数，大量数据表明，本文考虑的方法性态良好，具有应用价值。

According to two logical judgements, the relation of the semi-infinite plane strain problem and semi-infinite spatial problem is found through analyzing the classical answer of wedge, semi-infinite plane, cone and semi-infinite spatial etc. The Flament answer of semi-infinite plane strain problem and the Boussinesq answer of semi-infinite spatial problem are confinable from the relation.

根据两个合理的判断依据，对弹性力学中的楔形体、半平面体、圆锥体和半空间体等经典解答进行了比较分析，发现了半无限平面应变问题和半空间体问题解答之间的关系；通过对解答之间的关系进行研究分析指出，弹性力学中的半无限平面体的符拉芒解答和半空间体的布希涅斯克解答存在局限性。

This paper tries to give a definition of the sum and the product of infinite infinite simal,and it also tries to give some examples to illustrate the sum and the product of infinite infinite simal being or not being infinite simal.

给出了无限个无穷小的和、积的一种定义，并用例子指出无限个无穷小的和、积既可能是无穷小，也可能不是无穷小。

By introducing a concept of δ-fine partition on infinite interval the-integral of vector-valued functions on infinite interval was made entirely harmonic with that on finite interval.

通过引入无穷区间上δ-精细分法的概念，使无穷区间上向量值函数积分与有限区间上的积分在形式上完全和谐，并证明其与Cauchy扩张的方法和简单积分的思想是等价的。

Based on the transformation between interval number reciprocal judgment matrix and interval number complementary judgment matrix, this paper proposes the definitions of additive consistency and multiplicative consistency for interval number complementary judgment and correlative definitions as well, and studies the particular proprieties of the consistency interval number judgment matrix. At the same time, it also puts forward a simple algorithm that can judge whether an interval number complementary has the propriety of satisfied transitivity.

利用区间数互反判断矩阵与区间数互补判断矩阵之间的转换关系，给出了乘性一致性与加性一致性区间数互补判断矩阵的定义，并研究了一致性区间数判断矩阵的一些特殊性质；同时给出了区间数互补判断矩阵满意一致性的一个简单的判断方法与算法。

To seek new infinite sequence exact solutions to nonlinear evolution equationsNEE(s, the formula of nonlinear superposition of the solutions of the second kind of elliptic equation are given, infinite sequence exact solutions to combined KdV with varible coefficients and forcible term is constructed with the aid of symbolic computation system Mathematica, which include Jacobi-like elliptic function solutions, infinite sequence soliton-like solutions and infinite sequence triangular function solutions.

为了获得变系数非线性发展方程的无穷序列精确解，给出第二种椭圆方程解的非线性叠加公式，借助符号计算系统Mathematica构造了带强迫项变系数组合KdV方程的无穷序列精确解。这里包括无穷序列类Jacobi椭圆函数解、无穷序列类孤子解和无穷序列三角函数解。

It investigates mainly infinite matrix conver-gence、infinite matrix transformations、the automatic continuity and boundedness of infinitematrix operators、infinite matrix topological algebras、invariant theory、infinite matrix meth-ods、compact operators series and Eberlein-Smulian theorem,etc.

主要研究了无穷矩阵收敛、无穷矩阵变换、无穷矩阵算子的自连续性和自有界性、无穷矩阵拓扑代数、不变性理论、无穷矩阵方法、紧算子级数与Eberlein-Smulian定理等。

Aristotle distinguished between the potential infinite and the actual infinite, and concluded there is in general no actual infinite object because the infinite is the unfinished, the indefinite, the unrealizable, which cannot be completed and actualized.

亚里士多德把潜无穷和实无穷区别开来，得出结论：一般不存在实无穷的对象，无穷是没有结束的、非确定的、没有实现的，并且是不能完善和实在化的东西。

A method for integrating infinite integrals that occur in solving the fields of source coil and equivalent coils is presented. Subtraction of asymptotic terms is proposed to speed up the truncation process of an infinite integration interval, which greatly improves the infinite integrals.

给出了一种简单有效的数值积分方法计算激励线圈和等效线圈解析解中遇到的无穷积分，提出了一种加速无穷积分收敛的有效方法，显著提高了磁场及涡流场的计算效率。

A method of integrating infinite integrals which occur in axisymmetrical field in eddy current testing is presented. Subtraction of asymptotic terms is proposed to speed up the truncation process of an infinite integration interval, which greatly improves the integration of infinite integrals.

本文对涡流检测中解析求解轴对称场时遇到的无穷积分给出一种简单有效的数值积分方法，提出一种改进积分收敛性的方法，加速了无穷积分的截断，显著提高了轴对称场的计算效率。

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。