查询词典 upper bound

Lastly, the ruin probability of the bidimensional perturbed risk model are studied, whose upper bound of Lundberg-type within infinit-time is obtained and discussed for the case of light-tailed using the martingale technique, the conclusion is gotten that the strength of the dependent of B strongly impact the upper bound can be achieved.

第四章主要研究了带有扰动项的二维风险模型的破产概率，应用鞅论的技巧，在轻尾条件下，求出Lundberg-type在无限时间内的破产概率的上界；并对破产概率的上界进行讨论，获得的相关性的强弱影响着破产概率可达到的上界。

Applying the De Caen"s inequality of sum of the squares of the degree and Cauchy"s inequality, we obtain a strict lower bound and a strict upper bound of the largest Laplace eigenvalues only in terms of vertex number of a unicycle graph. Applying the Laplace matrix theorem of trees, we obtain an upper bound of the second smallest Laplace eigenvalues of a unicycle. Extremal graph whose second smallest Laplace eigenvalues reach the obtained upper bound is determined. We also obtain an upper bound of the second largest Laplace eigenvalues in terms of vertex number of the largest connected branch of unicycle graph, and obtain a theoretical method to calculate the second largest Laplace eigenvalues of unicycle graph. We obtain an upper bound of any Laplace eigenvalues in terms of vertex number of a unicycle graph. We also obtain the distribution of Laplace eigenvalues in the inter [0,n] in terms of the matching number.

本文得到了以下几个方面的结果： 1、利用图度平方和的De Caen不等式和Cauchy不等式给出单圈图的最大Laplace特征值仅依赖于顶点数的严格的上下界；利用树的Laplace理论给出了单圈图次小Laplace特征值的一个上界，并刻画了达到该上界的极图；利用子图的连通分支的顶点个数给出了单圈图次大Laplace特征值的一个上界，并给出了单圈图次大Laplace特征值一个理论上的一个求法；利用单圈图的阶数给出了其一般Laplace特征值的一个上界；利用单圈图的匹配数给出其Laplace矩阵谱在区间[0，n]上的分布情况。

While Chebyshev's Inequality gives an upper bound on P, there is no guarantee that the upper bound is a good approximation.

因为切尔雪夫不等式给出的是每个象素灰度的上限，而又没法保证其上限是一个很好的估计。

I. d. Bernoulli random variables. First, we can get the upper bound with order from Chebyshev inequality. Second, a better upper bound was gotten with the new inequalities, which can fasten the convergence rate.

并对服从两点分布的独立随机变量X1，X2，…，X进行研究，首先利用Chebyshev不等式得到随机变量偏离方差ES的上界，但它只有阶的收敛速度，然后利用新的不等式得到一个新的上界，它有更快的收敛速度，这在探讨收敛速度时有着重要的理论意义。

The new upper bound on complementary cumulative distribution function of the PAPR of a band-limited OFDM signal is derived based on the level-crossing rate theory, and the Monte Carlo simulation of the PAPR distribution of a 16QAM-0FDM system with different subcarriers is carried out to test the tightness of the new upper bound.

基于越幅率理论推导了带限OFDM信号PAPR的互补累积分布函数的一种新的上边界，并针对一个16QAu-OFDM系统，对不同子载波数的PAPR分布进行了蒙特卡罗仿真，以验证新的上边界的紧密性。

Both upper bound formula and lower bound formula of the global truncation error of Euler method have been derived theoretically.After making certain approximat e processing,the derived upper formula changes into current upper bound formula.

从理论上推导出了欧拉方法的整体截断误差的上限公式和下限公式，作一定的近似后，得到的整体截断误差上限公式就变为现用的整体截断误差上限公式。

The representation of sequences is very helpful for the research of their linear complexity,so this paper we first research trace representation of periodic sequences,and the trace representation of a New Generalized Cyclotomic Sequence of order two of length pq is given,then for 2~mp~n period binary sequences,where p is an odd prime and 2 is a primitive root modulo p~2,we present a relation-ship between the linear complexity and the minimum value k for which the k-error linear complexity is strictly less than the linear complexity and have the upper bound and lower bound of the value k, finally we discuss the k-error linear complexity of legendre sequences,also have the upper bound and lower bound of the value k,and discusses the situation where the linear complexity drop again for some Legendre sequences.

序列的表达形式对于其线性复杂度的研究是十分有帮助的，本文我们首先研究的是周期序列的迹表示，给出了2阶pq长度的扩展分圆序列的迹表示，然后讨论了周期为2~mp~n(m≥2)序列的线性复杂度与使得线性复杂度变小的最小的k值的关系，给出了k值的上界和下界，这里p为奇素数，2是模p~2的本原根，并通过例子讨论了其线性复杂度的稳定性，最后对Legendre序列k-错线性复杂度进行了分析，也给出了k值的上界和下界，并对某些Legendre序列讨论了线性复杂度再次下降的情况。

In this paper we have studied the Upper bound for the time derivative of information entropy for a dynamical system driven by colored cross-correlated colored noises. The Fokker-Planck equation was obtained by using the unified colored noise approximation. The upper bound for the rate of entropy change can be calculated explicitly based on the definition of Shannon's information entropy and the Schwartz inequality principle.

" T！ z2 r" j0 S0 F5 J* T 摘要：本文研究了一种由色关联乘性和加性色噪声驱动的随机耗散动力学系统随时间演化的熵变化率上界，通过统一色噪声近似方法给出了该系统的近似Fokker-Planck方程，然后结合Shannon信息熵的定义及Schwartz不等式原理给出了该系统经近似后熵变化率上界随时间演化的精确表达式。

An extrusion flow model of aluminum alloy cylinder is built by the upper-bound method,and the kinematically admissible velocity field,the strain rate field and the upper-bound deformation power are deduced with five different die container s.

应用上限法建立铝合金圆棒料挤压成形的流动模型，推导了坯料在5种不同型腔曲线下变形时的动可容速度场、应变速率场及上限功率的表达式。

Based on the upper bound limit analysis theorem,upper-bound answers of bearing capacity of circular shallow foundations by suitable choice of a kinematically admissible velocity field and admissible failure mechanisms were derived.

在极限分析上限定理的基础上，选择合适的机动位移速度场及容许破坏模式，推导出地基承载力上限解，然后利用弹塑性力学知识得出了滚石冲击压力以及滚石冲击深度的计算表达式。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。