查询词典 arbitrary sequence

Hence, a necessary and sufficient condition for the positivity of polynomials of arbitrary degree is presented in this paper. A practical algorithm to express this condition in terms of the coefficients of the polynomials is also given.

由此提出了任意阶多项式为正的一个充要条件，也提出了一个实用的算法，从而可以只用此多项式的系数来表示得到的充要条件。

The expressions of multiple complex variable flexure stress function of a infinite plane with arbitrary holes are derived by using the theory of complex variable functions and multiple conformal mapping transformation.

应用弹性力学复变函数理论，采用多保角变换方法，推出了含有任意多孔无限大平板弯曲或者扭转的多复变量弯曲应力函数表达式。

So the conformal transformation model for the image rectification is taken as a beginning to deduce the relation between the accuracy of an arbitrary point and the accuracy of control points, besides, according to such relation, the inverse distance power method is used to give the spatial interpolation for the image rectification accuracy, which also achieved the interpolation value in x or y directions.

并以相似变换作为影像纠正的基本模型，推导了纠正后任意点精度与控制点精度的关系，基於此选择采用空间插值方法，插值影像纠正后任意点不同方向上的点位的精度。

For flexibility, an arbitrary resource manager can be explicitly connected to the localization component at any time.

灵活性，一个任意的资源管理器，可以明确地连接到本地化组件在任何时候。

Computational algorithms of BEM for both multi connected domain and composites with particle of arbitrary geometry are derived.These BEM algorithms are used to calculate the temperature distributions for composites with both single-particle model and multi-particles models.

首先推导了多连域和含任意形状夹杂复合材料温度场问题的边界元计算格式，随后采用边界元法计算了具有不同形状和界面性能的单夹杂和多夹杂模型内的温度场。

It is proved that the algorithm is convergenced for arbitrary consistent systems of linear algebraic equations.

本文利用行处理法[2～4]和分治策略[5]探讨这一问题。将任意的n×m阶线性代数方程组=bi，∥αi∈R1×m∥i=1，2，…，n。

Figure 7-3a depicts the phase shift necessary to create constructive interference along a line joining an arbitrary point P with the center of the array.

图7-3a描述了通过相干使合成波束沿空间任意点P和阵列中心连线所需的移相。

Also, if someone is interested, can you change the form of arbitrary distribution of continuous random number generator procedure is very simple changes, I will not be sacrificed as a result.

另外，如果有人有兴趣，也可以把它修改成任意形式分布的连续随机数产生程序，修改非常简单，这里就不提示了。

PSO is a population-based optimization algorithm, which mimics the social behavior of animals in a flock. It makes use of individual and group memory to update each particle position allowing global and local search optimization. The objective function considered was the total weight of the structure subjected to stresses, displacements and forces constraints. The effects of the parameters were investigated as well and such combination of tuning parameters promote a better global search behavior avoiding premature convergence while rapidly converging to the optimal solution. Results showed the effectiveness of the proposed method by comparing with ANSYS Design Optimization Tool (zero-order method). The PSO with the tuning parameters makes it an ideal method for offshore wind turbines foundations optimization tasks.(2) A reliability analysis method for pile foundation bearing axial loads based PSOThe performance function of pile foundation's axially bearing capacity sometimes is nonlinear and complex, on the basis of geometric meaning of structural reliability index, an optimum model with PSO for structural reliability analysis under arbitrary random variables was established, The PSO algorithm is very efficient to solve global optimization problemsIts use in structural reliability field presents not only the advantage of its facility of implementation, but also the possibility to obtain the design point and the failure probability with a good accuracy. In addition, PSO is a zero order algorithm, for no derivative is necessary for its implementation.

本文的研究针对桩式海上风机基础结构的特点，在国内外有关研究成果的基础上对海上风机基础结构优化设计理论和可靠度方法一些相关问题进行了较为深入的研究，具体做了以下几个方面的工作：(1)基于粒子群优化的桩式海上风机基础确定性优化设计方法桩式海上风机基础的优化设计是一个复杂的、非线性约束的优化问题，针对传统的基于梯度信息的优化方法在处理非线性问题中易陷入局部最优解的问题，本文将一种耦合惩罚函数的PSO算法引入到海上风机基础结构概念设计中，PSO算法是从群体动物聚集觅食这一活动中受到启发而发展的，该算法利用个体和群体的信息共享不断改进自身的位置从而进行局部和全局最优搜索，本文中以桩和三脚架连接段直径及壁厚为设计变量，以基础总重量作为优化的目标函数，在给定的约束条件下建立了三脚架基础优化数学模型，另外本文还研究了PSO参数变化对结果的影响，协调的参数组合可以避免陷入早熟收敛而能够快速的获得全局的最优解，通过与ANSYS优化模块的计算结果比较验证了该方法的有效性，本方法为海上风机基础的确定性设计提供了一条有效的途径。

Chapter 3 is focused on the neural network optimization model of arbitrary convex function with linear constraints.

早期应用于军事领域的两大技术—扩频技术和阵列信号处理技术已经或即将应用于民用的移动通信系统。

A backer of an Afghan law that critics say legalizes marital rape has rejected the international outcry as foreign meddling.

饱受批评的一项法律的拥护者说合法化的婚内暴力不会受国际舆论的干涉。

Years ago, a ancient Egyptian fleet went to the Land of punt for seeking a kind of flavor named "myrrh", and aromatic plants which has dense exotic style for the queen Hatshepsut.

3500年前的一个古埃及的舰队到&彭特之地&寻找一种叫没药的香料。