特征函数

In the following two cases:(1)gcd=1;(2) N=p〓, where p denotes the characteristic of the finite field GF, by using the factorization of the polynomial in finite field, the counting function N〓 is showed, the expected value of the linear complexity E〓 is determined, and a useful lower bound on the expected value of the k-error linear complexity E〓 is established.(7) The stability of the lattice structure for pseudorandom number sequences is put forward.

利用多项式的因式分解等简单工具，研究了任意有限域GF上，周期N与p互素以及N ＝P〓这两种情况下，计数函数N〓，的值，即线性复杂皮为c的N-周期序列的个数，并给出了线性复杂度的数学期望E〓的值以及k-错线性复杂度的数学期望E〓的一个有用的下界，这里p表示有限域GF的特征。

In the following two cases:(1)gcd = 1 ;(2)N = p~v, where p denotes thecharacteristic of the finite field GF, by using the factorization of the polynomialin finite field, the counting function N_(N,0) is showed, the expected value of thelinear complexity E_(N,0) is determined, and a useful lower bound on the expectedvalue of the k-error linear complexity E_ is established.(7) The stability of the lattice structure for pseudorandom number sequences is putforward.

利用多项式的因式分解等简单工具，研究了任意有限域GF上，周期N与p互素以及N = p~v这两种情况下，计数函数NN，0 的值，即线性复杂度为c的N-周期序列的个数，并给出了线性复杂度的数学期望EN，0的值以及k-错线性复杂度的数学期望EN，k的一个有用的下界，这里p表示有限域GF的特征。

Used as input vector of radius basis function neutral network, the wear debris shapes were divided into four classes: regular, irregular, circular and elongated.

然后以提取的形状特征为输入矢量，利用径向基函数神经网络对磨粒形状进行分类识别。

A standard expected value model for multi-objective multi-stage transmission planning is presented to realize the transmission optimal planning with the control of line overloading risks. In this model, a constraint of overloading risks is built with expected value and standard deviation of random line active power and two objectives are given as expected value of the average power loss and discount value of the investment cost. By modeling uncertain informations with probability theory, the probabilistic DC power flow is adopted for the correlated calculations among random variables in the planning model.4 A novel multi-objective transmission planning approach that considers transmission investment profit is proposed. Requests for transmission investment profit and social welfare are involved in the proposed planning approach.

以方案总投资费用贴现值和平均网损期望值为目标函数，建立多目标多阶段输电网规划的期望值模型，以线路有功潮流过负荷随机变量的期望值和标准差构建过负荷风险约束，考虑了风险发生概率和严重程度两方面的特征，通过对不确定性信息的概率建模，利用概率直流潮流进行各随机变量的相关计算，实现了控制过负荷风险条件下的输电网优化规划。4提出考虑输电投资收益的多目标输电网规划方法，综合考虑市场参与者对输电投资收益和社会总福利的要求加热管及其对输电网规划的影响。

First,the rational optimal objective function for acoustic field pattern is put forward. Then, two optimal algorithms for global optimization are proposed.

在对空间声场提出合理的优化目标函数后，提出了两种优化算法进行全局寻优：一种是遗传算法构造的声场模式控制算法；另一种是特征向量算法。

In order to characterize the spatial characteristics at different scale, different theoretical model coefficient we defined to create the Kriging map and the rational number of sampling impendent from each other at different spatial scale.

变异函数结构分析显示，土壤机械组成的空间变异在各方向上具有不同变率，但均可通过线性变换而转换为各向同性的统一结构，属于几何各向异性结构；不同观测尺度上有着不同的空间结构特征，对不同空间结构的区域化变量确定了不同的理论模型参数，并绘制克立格图，给出不同观测尺度下满足独立取样的合理取样数目。

The total optimization ability is improved.4. The structure in problem can be difficultly reflected by use of binary code. GA local searching ability is quite worse for continuum function.

二进制编码有时不便于反映所求问题的结构特征，对于一些连续函数的优化问题，GA的局部搜索能力也较差。

Each database driver that implements the PDO interface can expose database-specific features as regular extension functions.

每种数据库依靠特定的正则函数驱动PDO接口，能反映出数据库特征。

Taking a copper mine as an example,based on geostatistics theory and method,a mathematic model and an entity engineering model have been established by using mining software,with some variance function representing regionalized variable characteristics.

以某铜矿为例，基于地质统计学理论和方法，应用能够反映区域化变量特征的变异函数，利用矿业软件，建立了矿山矿床的数学模型和工程实体模型。

In this paper,the author give the spectra characterizations of nonsigular feedback polynomials and local permutation polynomial s over finite fields and residue class rings,and simplify existing results over prime fields,and provide a new proof method for the spectra characterization of correlation immune functions over finite fields and residue class rings.

本文给出了有限域和剩余类环上非线性反馈移存器的非奇异反馈多项式及局部置换多项式的谱刻划，简化了素域上的现有结果，并对有限域上和剩余类环上相关免疫函数的谱特征给出了一个新的证明方法。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷