相似函数

The pupose of the research is to develops public key encryption and digital signature shemes based on matrix canonical decomposition problem, or matrix diagonalization problem over Z/n, the ring of integers with modulo-n addition and multiplication in particular, where n is an RSA modulus.

本课题研究基于矩阵经典分解问题，特别是Z/n上矩阵对角化问题的公钥密码与数字签名算法，其中n是一个RSA模数。新算法采用由一个矩阵多项式构成的多维单向陷门函数，其单向性由矩阵对角分解问题(即通过相似变换将矩阵化为对角型的问题)的复杂性来保障，对该函数求逆的陷门由矩阵的特征值或特征向量提供。

There are a large number of non-convex functions in practical problems, and they have similar nature in the non-linear programming as convex functions.

实际问题中的大量函数都是非凸的，它们与凸函数在非线性规划中有一些相似的性质。

By describing trusty degree of information through membership function defined on the tuple, they broaden relation algebra of general meaning, add an attribute function to every tuple, define meaning of fuzzy attribute, express similar degree in the interval of fuzzy object and entity with semanteme distance in the interval of tuple, and also studys the fuzzy relation operating.

通过定义在元组上的隶属函数反映信息的可信度，对通常意义下的关系代数进行了扩展，每一元组都附一属性函数，定义了模糊属性的含义，用元组间的语义距离表示模糊对象和实体间的相似度，并对该意义下的关系操作进行了相应的研究和讨论。

Finally, it analyses the time complexity of the algorithm and researches how it is influenced by culture operator.3、The paper presents the evaluation standard of the GA's application capability. Basing on characters such as continuity, multi-peak, vibration, randomicity as well as large-scale, five functions are selected to test search ability and robustcity of co-evolution algorithm. Finally, it analyses the simulation result and researches the influence of algorithm brought by culture operators.4、Basing on the concept of collection overcast, it researches the task distribution issue and constitutes delaminated math model on task distribution issue. It puts out the co-evolution algorithm of subtask's decomposing. The experiment compare IGA、SGA to CN and validates the efficiency of co-evolution algorithm on the NP completeness issue.5、Being aim at the optimization issue of load of antenna near ground, it combines many GA strategies and puts forward strategic meme. And it puts out co-evolution algorithm of load of antenna design. And it emulates the optimization design of load of antenna near ground. Finally, it valuates the co-evolution algorithm's efficiency on the continuum search issues of multi-variable and multi-peak value.6、Being aiming at the knowledge of image model matching, it adopts single meme and real code. It puts out fast co-evolution matching algorithm strategy. Basing on NPROD resemble measurement, I emulate the indiscrimination model matching and discrimination model matching. Finally, it valuates the co-evolution algorithm's efficiency on the real code and real time search issue.

分析了算法的时间复杂度，研究了文化算子对算法时间复杂度的影响。3、提出了GA的应用性能评价标准，从连续性、多峰性、随机性、振荡性、广域性多个角度出发选择五个测试函数，对共同进化算法的搜索性能和鲁棒性作了函数优化的性能测试，分析了仿真结果，研究了文化算子对算法的影响。4、基于集覆盖的概念，研究了MAS中的任务分配问题，建立了任务分配问题的分层数学模型，给出了子任务分解共同进化算法，实验比较了IGA、SGA、CN，验证了共同进化算法对NP完全问题的有效性。5、针对近地天线加载优化设计问题，结合多种改进GA策略，提出了策略型拟子，给出天线加载设计的共同进化算法，对有耗半空间对称偶极子天线加载优化设计作了仿真实验，验证了共同进化算法对多变量多峰连续搜索问题上的有效性。6、针对图像模板匹配问题的领域知识，采用单类拟子和实数编码，给出快速共同进化匹配算法策略，基于NPROD相似度测度，仿真试验了无差别和有差别模板匹配，验证了共同进化算法对实数编码和实时性搜索问题上的有效性。

After a short-term load forecasting method based analogous and linear extrapolation is proposed, the load forecast and the priority of equipment action are led into static reactive power optimization. The aim function is constructed for the practical situation of power system. On the basis of traditional genetic algorithm the fitness function and the holding of population diversity are improved. The adjacent search operator is applied to improve ability of local search.

在提出基于相似日和线性外推的短期负荷预测新方法的基础上，将负荷预测和设备动作优先级引入静态无功优化中，并结合电网实际情况，构造了实用的目标函数，对遗传算法的适应度函数和群体多样性的保持进行了改进，采用邻域搜索算子增加遗传算法的局部寻优能力。

It is complete for continuous functions on [0,1] (C[0,1]), and the properties of quick transformation and other well properties similar to Fourier system, but its partial sum is superiority to Fourier system as the approaching tool.

在此函数系上展成的Fourier级数有许多与三角Fourier级数相似的性质，三角形Fourier级数的部分和在作为函数的逼近工具时确实要比三角Fourier级数优越一些。

This method uses what Professor Salton has proposed as the vector spacial model to express text as an invisible vector in hyperspherical space.It makes use of certain pre-disposal methods (reduce the dimensions,clustering thesaurus,filtering out old-fashioned words) to reduce the dimensions.It usescosines to measure the degree of similaritybetween texts and uses the total similarity as the target convergence vector.It produces clustered results by using restricted iteratives to achieve partial perfection.

该算法用Salton教授提出的向量空间模型把文本表示成不可视的超球向量空间的一个向量，采用一定的预处理手段(降维、同义词归并、停用词过滤)完成维数约减，使用余弦相似度度量文本之间的相似度，并选择总凝聚度作为目标收敛函数，通过有限次的迭代达到局部最优，输出聚类结果。

Therefore, due to the fact that the (111) pole density in the subsurface of decarburized bands still have a higher intensity, adding Mo into Hi-B steels could lower the slab reheating temperature.

本文采用X射线极密度和取向分布函数方法，证明含Mo Hi-B钢采用1310℃低温铸坯加热时，其热轧板表层织构特征与不含Mo并在1380℃高温铸坯加热时相似，为典型的剪切形变织构，两者的热轧板与脱碳板表层织构特征也极为相似，而含Mo Hi-B钢在1380℃铸坯加热时却没有以上这些相似性。

The second, according to mapping function of blank and product sections, and to many interpolating functions along model-cavity vertical surface, paper has built mathematics model, fluid surface function of special-shaped product plastic deformation and velocity field, gotten basis theory for metal forming prediction, for example empty drawing metal pipe thickness homogeneity and special-shaped product fluid regular, die parameter optimization and integration research of die CAD/CAM.

根据拔制坯料和制品截面映射函数和模腔纵向多种插值函数（直线型、凸型、凹型和三次多项式型），建立了相似异型材、圆形坯料——异型材和异型材——异型材三维金属拔制塑性成形的数学模型和异型材塑性成形的流面方程及流动场方程，为预报金属成形规律（如：空拔管壁均化、异型材流动规律），模腔参数优化及其CAD／CAM一体化研究提供了理论基础。

According to the spline theory we presented a shape matching algorithm based on the similarity matrix of curvature and torsion values of 3D curve, we reduced the 3-D curve matching task into a 1-D string matching problem, which makes the matching more veracious and can be used on the 2D or 3D curve matching.

周期性离散曲率函数具有和原有曲率相似的位移、旋转、缩放等特性，为提高匹配的准确度，利用高斯函数进行平滑处理，取得了较好的结果，同时该方法具有直观、速度快等优点，在2D轮廓曲线的匹配中，具有实用可靠的用途。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。