查询词典 geometric meaning

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。

The method in this paper has the same function and quality as SVM and Cortes'soft margin algorithm,but its theoretical system is simple and strict,and geometric meaning of its optimization probem is very clear and obvious.

该算法与SVM算法及其Cortes软边缘算法异曲同工，但理论体系简单、严谨，其中的优化问题几何意义清楚、明确。

The parameter space is one-dimension and the geometric meaning of the parameter is the cross ratio of four directional distances between a point and four lines.

其参数空间是一维的，参数的几何意义是点到四条直线的有向距离之交比。

Week 5 The definition and nature of derivative, the geometric meaning of derivative, the relation between the derivability and the integral, derivation rule.

第4周 连续的定义，连续函数的性质，初等函数的连续性，闭区间上连续函数的性质。

Week 7 The definition and geometric meaning of differential, Basic Elementary Functions Represented by differential formula, the operational rule of differential.

第7周 微分的定义，微分的几何意义，基本初等函数的微分公式与微分运算法则。

Automated geometric theorem proving, as a byproduct of the completion of geometric theorems, is further developed into automated quantitative description of geometric relations. The recovery of the geometric meaning of this quantitative description leads to a natural extension of the geometric theorem.

几何定理的机器证明作为几何定理完全化的副产品，被发展成几何定理的关系定量化，这种量化的几何还原就是几何定理的自然推广。

A concept, shadow equation, was put forward to search the real geometric meaning of complex roots for general equation.

提出了影像方程的概念，从而可以研究一般方程复数解在实平面上的几何意义。

In two-dimensional space, derived from the geometric transformation matrix from the transformation matrix to understand its geometric meaning.

详细说明：在二维空间内，从几何变换推导变换矩阵，从变换矩阵理解其几何意义。

When a new invariant is found, an important problem is to find its "geometric" relationship (relationship with geometric meaning) with basic invariants. The discovery of this relationship is mainly based on algebraic manipulations of invariants.

发现一个不变量后，如何找到它与其他不变量的关系，是实际应用中的一个重要问题，这种关系的探讨主要依靠在不变量层次上的代数运算。

Geometric methods developed herein to obversely and inversely calculate the parameters of rational Bézier circular arcs with degrees of three and four are simple, practical and have direct geometric meaning.

所给算法具有几何直观性、简单、实用，符合计算机辅助几何设计的要求。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新