bounded interval

1. For small errors or uncertain but bounded parameters, the interval perturbation method was presented for computing complex interval eigenvalues of the generalized interval eigenvalue problem, and the required regions containing natural frequencies of structures may be obtained.
   对于小的误差或有界不确定参数，所提出的求解实区间矩阵的广义特征值问题的区间摄动法可以给出满足工程要求的结构固有频率所在的区域。
2. Structural parameters with uncertain but bounded parameters are described by a hypercube-an interval vector in interval mathematics and by ellipsoid in convex models.
   区间数学将有界不确定结构参数用超长方体即区间向量进行定量化，而凸模型理论则用椭球对有界不确定参数进行定量化。
3. Abstract: When the uncertainties of structural parameters can be bounded in an interval, the interval finite element method will be established via the combination of interval analysis and the traditional finite element method ( FEM).
   当结构的不确定参量可用区间限界时，将区间分析和有限元方法相结合，可建立起区间有限元方法。
4. Based on the view that the theorem of closed mested interval is an axiom, this paper deduces the essential limit of monotonic bounded sequence of number and the Dedekind theorem, and proves the general theorem of bull closed nested interval of real number.
   以通常所说的闭区间套定理作为公理推出单调有界数列存在极限和Dedekind定理，并且证明了通常所说的实数满闭区间套定理。
5. In order to calculate the region containing static displacements of structures with uncertain but bounded parameters, the interval parameter perturbation method is presented in this paper.
   为计算有界不确定结构参数村结构静力位移影响范围的上下界，本文提出了区间参数摄动方法。
6. In order to decompose with wavelet on a bounded interval, a method of expanding finite data points symmetrically is adopted. According to filter model, the fast algorithms of decomposition and reconstruction with uniform wavelet are realized.
   为达到在闭区间进行小波分解的目的，采用对称延拓有限个数据点的方法，实现了基于滤波器形式的均匀B样条小波分解和重构的快速算法。
7. This paper mainly studies a type of subdivision scheme that defined on a bounded interval and the matching scale function and wavelet.
   本篇论文主要研究一类有界区间上的细分格式以及相应的尺度函数和小波。
8. The Eigenvector Expression of a Class of the Four-Order Differential Operators on Bounded Interval
   有限区间上一类四阶微分算子的特征函数
9. Sampling Theorem for Bounded Interval Wavelet Subspace and Approximation Theory of Function in H~ 2 ( I) Space
   有限区间小波子空间上的采样定理及H~2（I）空间中函数的逼近表示
10. The article defines order-preserving transform of bounded monotone functions on the symmetric interval [-1,1], and applies the methods of fuzzy structured element, the expression forms and correspondent membership of the four fundamental operations of fuzzy numbers based on the fuzzy structured element is obtained.
    为了解决模糊数计算上的困难，引入了区间[-1,1]上单调函数的某些同序单调变换，利用模糊结构元理论，将模糊数的四则运算转换为同序单调函数之间的相应运算。
11. For the BGK model of the Boltzman equation, we show that for s> 2, the s-moments of the distributional solutions remain bounded on any temporal interval [ 0, T] provided that the moments of order s of the initial data are finite.
    对Boltzman方程的BGK模型，我们证明了，对任意s>2，如果初始值的s阶矩有限，则其分布解的s阶矩在任何时间区间[0，T]上保持有界。
12. Pointwise Approximation for Functions of Bounded Variation on Infinite Interval by Positive Linear Operators
    正线性算子对无穷区间上有界变差函数的点态逼近度
13. Due to the uncertainty of measured data, rock mechanics parameters are often considered as unknown but bounded variables in intervals. An interval back analysis approach is presented in this paper to identify the mechanical parameters of rocks.
    考虑量测信息的不确定性，将岩石力学参数视为未知但有界的区间变量，建立了非线性岩石力学参数的区间反分析模型。
14. Truncated B-spline-wavelets on a Bounded Interval and its Vanishing Moment Property
    有限区间截断B样条小波及其消失矩性质
15. By use of the finite two-scale relation equation, the values of connection coefficients at arbitrary points on a bounded interval can be determined.
    借助于双尺度差分方程，给出所需要的关联系数在有界区间任意点的数值计算方法和程序；
16. Double bounded model compared with the single bounded model could obtain much more information of willingness to pay of the person investigated, thus reducing confidence interval of estimation, and enhancing the estimating accuracy of the greatest willingness to pay.
    双边界问卷格式与单边界问卷格式相比能够获得被调查者支付意愿的更多信息，从而缩小估计的置信区间，提高最大支付意愿的估计精度。
17. Having studied the approximation by the free order derivatives of Bernstein operators to the functions with derivatives bounded variation in the close interval 0 to 1, the degree of pointwise convergence is given and the deduction proves that this results cannot be further improved.
    研究了Bernstein算子的任意阶导数对有界变差函数的逼近，给出了点态收敛阶并证明了本文的结果是不能改进的。

noun

1. an interval that includes its endpoints

   Synonym:    closed interval