随机函数

In the graph of this example noise function, the red spots indicate the random values defined along the dimension of the function.

图中这个噪声波的例子中，红点表示定义沿着在函数维上的随机值。

There are two methods of detecting gross error, one is to include the grosserror in numerical model and the other is to include the gross error in stochastic model.

粗差检测方法有把粗差归入函数模型的检测方法，也有把粗差归入随机模型的检测方法。

Hadamard matrix as an orthogonal matrix was investigated by Sylvester from 1867, possess important position in block design, it was used extensive in project and communication. The thesis has discussed the relation of Hadamard matrix and Walsh function as well as pseudo-random sequence.

Hadamard矩阵最早是作为正交矩阵由Sylvester在1867年开始研究的，在区组设计中占有重要地位，其广泛应用在工程和通信上；本文着重讨论了Hadamard矩阵和Walsh函数以及伪随机序列的关系，最后所得结论具有一定的理论意义和应用价值。

The stability problems are analyzed and discussed. The optimal control problem is formulated to determine the necessary conditions for optimality in networks. Three theorems about the properties of the steady state-costate solution in Hamilton function are confirmed leading to the natrual meaning and the optimal policy which can be implemented in practice. In chapter Ⅴ, the methods for nonstationary simulation of computer networks are discussed.

第四章表述了计算机通信网动态特性研究的主要数字方法；提出了排队与随机存取机制、网络链路传输和节点分流的状态空间模型，并作了稳定性研究；应用最优控制理论得到网络最优控制的必要条件，证明了哈密尔顿函数协状态变量的稳定解性质，据此研究分析了网络最优控制的本质意义及实现途径，并给出计算及建模实例。

To analyze the effects of heterogeneous material characteristics on rock failure,a micro-heterogeneous physical cellular automata model is introduced according to the cellular automata theory from a general power view.In this model,the neighbor is the Moore pattern and the Weibull distribution is adopted to simulate the rock heterogeneousness.

为了分析岩石材料的非均质性对其破坏演化的影响，根据元胞自动机理论，从能量的角度建立了一种能够从细观层次上对岩石破坏演化进行模拟的物理元胞自动机模型，模型引用的Weibull随机分布函数对材料的非均质性进行描述。

In this paper, we consider the present value function of a homogeneous portfolio composed by n whole life insurance policies under the stochastic interest rate.

考虑在随机利率情形下由n个同质的被保人所组成的终身寿险组合的现值函数。

Because the genetic algorithms could search the optimization of objective function randomly, which via the evolution of groups, our work is based on the embedding/detecting way of "DWT-Based Audio Watermarking Using Support Vector Regression and Subsampling". And this method provides a preliminary discussion on the application of GA, which searching the individual with the highest fitness of attack-resistance in the aggregate of the optimal embedding strength. As an optimization solution of obtaining the optimal embedding strength, it could achieve an adaptive policy, and find a reasonable balance between the robustness and inaudibility of the watermark, just for the better robustness and inaudibility in the algorithm.

遗传算法是通过群体进化来随机搜索目标函数的最优化问题，对于前述基于支持向量回归机的小波域数字音频盲水印算法，进一步地探讨采用遗传算在嵌入强度集合中搜索对抗攻击能力适应度较高的个体，从而得到最佳嵌入强度的一个优化方案，以实现自适应策略，也使本算法能在水印的鲁棒性和不可感知性之间寻找到合理的平衡点，从而具有更良好透明性和鲁棒性。

Robust estimation, RLS Estimation, M estimation, Independent observations, Correlated observations, Function model, Random model, Outliers analysis, Outliers Confirmation, Outliers Disposal, Infectant Distribution, Equivalent weights, Equivalent variance-covariance

稳健估计，稳健最小二乘估计， M 估计，独立观测，相关观测，函数模型，随机模型，粗差分析，粗差定位，粗差处理，污染分布，等价权，等价方差-协方差

Three kinds of interpolation methods including Inverse Distance Weight, Ordinary Kriging and Thin Plate Smoothing Spline were used to interpolate monthly average air temperature, precipitation and relative humidity at the spatial resolution by 1.0 km×1.0km in 1971-2000 in 92 meteorological stations, which covered the mountainous areas of the Southwest China. The results were verified by the cross validation and the random validation.

用反距离加权法、普通克里格法、薄盘光滑样条函数法三种空间插值方法，对西南地区复杂山地92个气象站点30 a（1971-2000年）的温度、降水和相对湿度月平均资料进行分辨率为1.0km×1.0km的空间插值，并进行了交叉验证和随机站点验证。

This algorithm uses the gird and density threshold method to remove isolated points of data set,selects the initial seed points in propagating tree randomly,judges vegetal direction and executes sort according to the density-based distance,calculates cluster aim function by the propagating tree value.

算法利用网格和密度阈值去除数据集中的孤立点，从网格集中随机地选取种子点，以基于密度距离作为判断生长方向及分类的依据，以网格生长树的大小作为聚类目标函数。

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。