查询词典 interval analysis

Wto Department of Mathematics : I insertion depth and the level of satisfaction you into the square more than two, In other words you searched every 1cm I will be 4% satisfaction, I am generally in the range of the interval (10cm, 20cm), then your satisfaction will also 10*4=40 and 20*4=80 in between, It is in range (40%,80%), note that the pool is open interval, the interval is not closed, So I need to do a lot of exercises.

数学系：我的插入深度和你的满意程度成2的平方比，也就是说你每伸进1cm我都将得到4%的满意度，一般我的范围在区间（10cm，20cm）内，那你的满意度也就会在10*4=40和20*4=80之间，也就是在区间（40%，80%），注意，这个集合是开区间，不是闭区间，所以我还要再做大量的练习。

It is shown that as the deviation of the interval factors of the design parameters are similar and close to unity, the computational error of the fast methodology are determined by the dispersion between the interval factors; and the error comes up to zero if all the interval factors are equal.

当诸参数的变化区间相对其均值的离差较小时，区间结构矩阵特征值的计算精度主要由各区间因子的差值大小所决定；且当各区间因子的差值为零时，误差亦为零。

It allows each edge of a graph data set to be with different interval-gap value. For example, given a graph with n edges, the interval-gap concept provides n interval-gap values, Min_Gap and Max_gap, for these edges correspondingly. By incorporating this concept into the graph mining, discovering frequent sub-graph with time constraints can be more effective.

在本论文中提出了区间间隙的概念，主要即是由固定的Min_Gap、Max_gap将之修改调整为弹性的Min_Gap与Max_gap，此区间间隙弹性的地方即在於图形资料集里的任两个节点所串连的边皆会有不同的区间间隙，也就是一个具有n个边的图形里，将会有n个不同的区间间隙值，也就是Min_Gap与Max_gap，这样的作法对於具有时戳性质的图形探勘将更有效益

On the basis of general Krawczyk-Hansen Operator, the interval iteration of the constrained functions are established; the interval extension of maximum entropy function is discussed; convergence is proved; region deletion rules are supplied and the algorithm of interval maximum entropy has been set up.

利用极大熵函数和罚函数将问题转化为无约束可微优化问题，借助广义Krawczyk-Hansen算子建立了约束函数的区间迭代；讨论了极大熵函数和罚函数的区间扩张，证明了收敛性等性质，给出了无解区域删除原则，建立了区间极大熵算法。

State variables at left end of time interval and costate at right end of time interval were taken as independent mixed variables, and the state and costate variables inside the time interval were approximated by Lagrange interpolation. Nonlinear optimal control problems were replaced by nonlinear equations through dual variable principle, and the symplectic algorithm for solving nonlinear optimal control problems can be obtained at the same time.

以时间区段一端状态和另一端协态作为混合独立变量，在时间区段内采用拉格朗日插值近似状态变量与协态变量，然后利用对偶变量变分原理并将非线性最优控制问题转化为非线性方程组的求解，最终得到求解非线性动力学系统最优控制问题的保辛数值方法。

State variables at left end of time interval and costate at right end of time interval were taken as independent mixed variables,and the state and costate variables inside the time interval were approximated by Lagrange interpolation.

以时间区段一端状态和另一端协态作为混合独立变量，在时间区段内采用拉格朗日插值近似状态变量与协态变量，然后利用对偶变量变分原理并将非线性最优控制问题转化为非线性方程组的求解，最终得到求解非线性动力学系统最优控制问题的保辛数值方法。

The conceptions of the superiority, inferiority and equipollence position degrees of the interval grey number were defined, and it was proved that the sum of three position degrees for a certain interval grey number related to another grey number is 1, and that the relation set of the position degrees is a whole order set of the interval grey numbers.

运用灰色系统思想和系统工程的理论，揭示了人们在灰信息条件下的博弈心理与博弈决策规则；提出了区间灰数的优势、均势和劣势的概念；证明了与某一区间灰数相对的另一区间的各种灰数势之和为1，且灰数势大小关系的集合是一个全序集。

If average values before or after catastrophe point when the pressure at both ends reduces exceed the threshold value, judging that there is leak and positioning: calculating approximate wavelet transformation coefficient of pressure data at both ends, initializing searching interval, calculating a signal time delay value corresponding to approximate wavelet transformation coefficient in the searching interval from maximal scale N; converting the time delay value under scale N to that under N-1 by geometric proportion relation; updating the searching interval, repeating above processes until the scale is 0 and positioning based on the time delay value.

若两端压力下降突变点前后的均值变化均超过阈值，判定有泄漏并进行定位：计算两端压力数据的近似小波变换系数，初始化搜索区间，从最大尺度N开始在搜索区间内计算对应近似小波变换系数的信号时延值，利用等比关系将尺度N下的时延估计值转换为N-1下时延估计值，以该值更新搜索区间，重复以上过程至尺度为0，以此时延估计值进行定位。

First of all, we introduce some interval methods and propose a new approach to find confidence interval for the slope in homoscedastic measurement error models. The performance of the interval estimation is compared in terms of both coverage probability and its diameter via simulation studies. Second, we suggest two approaches to estimate confidence intervals for the slope and joint confidence regions for both intercept and slope in heteroscedastic measurement error models. Application of these methods are illustrated with real data sets.

首先，当测量误差的变异是同质性时，我们对斜率项参数建构信赖区间，除了回顾已发表的方法外，也提出一个新的方法，建议的区间方法分别和已存在的方法做模拟比较，比较的标准建构在覆盖机率和平均长度上；另外，当测量误差的变异是异质性时，我们不仅对斜率项参数建构信赖区间提出新的方法，也对截距项参数和斜率项参数建构联合信赖区间。

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。

The production moved off-Broadway to New York City, where she won the Joseph E. Calloway award for her performance, and was profiled in American Theater Magazine as one of ten young theater artists to watch.

生产提出过百老汇的新的纽约市，在那里她赢得了约瑟夫calloway奖，她的表现，并于异型在美国的战区杂志之一， 10战区的青年艺术家观赏。

It's a risk tradeoff, and I believe that adding test support code usually wins.

这是一个风险的权衡，我相信添加测试代码通常会占上风。