查询词典 function of function

By getting Lebesgue characteristic of integrable function of Riemann from the definition of gather zero measure, it discusses the relation between almost continuous everywhere and existent of limit, and gets that the almost continuous everywhere is equal to the almost limit existence everywhere in the integrable function of Riemann.

通过定义零测度集给出了可积函数的特征，讨论了其几乎处处连续与极限存在的关系，即可积函数中几乎处处连续与极限的几乎处处存在是等价的，得出了比正规函数更加广泛的统一条件，得出了有界变差函数是可积函数的结论。

If mark the probability density function of continuous random variable X and continuous random variable leave each other, then when,there is , there is inverse function of .

Theorem 如果将连续型随机变量和连续型随机变量的概率密度函数分别记为，则时有：，这里是的反函数。

The third part has tried to analyze the universality and diversity in syntacticdistributions among Shi Shi, Bu Shi , Shi Bu Shi , statement adverbs and descriptionadverbs. Pointing out the function doubleness (embody the statement and description)derive from the semantic doubleness (embody the meanings of "Chang Chang and PinPin),The three words bridge the function of statement adverbs and descriptionadverbs,the part also points out that the "Shi Shi "shoud be divided into "Shi Shi1"whichexpresses continuousness and"Shi Shi2 which expresses repeatlity.

第三章对"时时"、"不时"、"时不时"同判断类频率副词与描写类频率副词分别进行了句法分布上的比较分析，指出这三个词功能的双重性来源于它们语义的双重性(既有"常"类副词的意义，又用"频"类副词的意义)，指出了它们在频率副词系统中所起到的桥梁作用；并对"时时"作了表延续义的"时时_1 "和表重复义的"时时_2 "的区分。

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。

Measure of uniformity is essential for constructing uniform design. Based on the distance concept, one kind of new distance function-potential function is introduced and used to measure the uniformity of points distributed in a general convex polyhedron.

均匀性度量是构作均匀设计的基础，本文从距离概念出发，通过对称的方法，得到一种新的距离函数－势函数，并将势函数作为衡量任意凸多面体上布点均匀性好坏的准则。

All sets of constraint function are the linear function of design variables and the feasible region is a convex set according to this formulation.

模型中所有的约束函数都是设计变量的线性函数，可行域是一个凸域。

It shows that flow field of vertical vortex is not only the function of the radial coordinate but also the function of the axial coordinate.

运用数值模拟具有能模拟各种不同边界条件的优势，还对非对称来流条件下形成的立轴旋涡进行了模拟。

Filter coefficients for the equalizer are selected so as to minimize a cost function for the equalizer, including a correction term as a function of the energy of the filter coefficients.

选择均衡器的滤波器系数以便使均衡器的代价函数最小，包括校正项作为滤波器系数的能量的函数。

Objective function of son system is yearly cost; Objective function of overall system is NEPV.

子系统的优化目标函数是等额年费用；总体优化的目标函数是财务净现值。

That is, direct search methods for unconstrained optimization depend on the objective function only through the relative ranks of a countable set of function values.

那就是说，无约束优化的直接搜索法仅仅依赖于通过可数集的函数值的相关阶的目标函数。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。