速度函数

As to the reasons of the gap emerged, the paper studies from two areas: one is using Cobb-Douglas production function formula to analyze the mode of economic growth among the provinces, another is using partial correlation analysis and regression analysis to analyze the factors which lead to different rate of economic growth among the provinces.

对于各省间的经济发展呈现出差距的原因，本文从两个方面进行了研究：一是运用Cobb-Douglas生产函数公式分析了各省经济增长方式的差异，二是运用偏相关分析方法和回归分析方法分析了各省经济增长速度差异的影响因素。

It realizes the global optimal computation via the local interacting agents with abilities of local perceptivity, competition and cooperation, self-learning etc. Then orthogonal design is introduced to generate an initial population of points that are scattered uniformly over the feasible solution space and to generate a crossover operator. As a result, the resulting algorithm is more robust and statistically sound. For high dimensional functions, a large memory is needed in generating an initial population with orthogonal design. To overcome this problem, a method called subspace partition is proposed, so that the memory is one tenth that of original one.

它以Multi-Agent系统为基础，通过Agent间的相互作用与每个Agent所具有的知识和自学习功能来提高算法的全局优化能力和收敛速度；同时利用正交试验设计方法产生较好的初始种群和设计正交交叉算子以获得更好的后代；针对正交试验设计产生初始化种群在函数维数很高时需很大存贮空间的缺点，提出了子空间分割法来产生所需的初始化种群，它只需要原来存贮空间的十分之一。

S: In the non-homogeneous semi-infinite medium, the shear modulus varies in the form of exponential function along the depth, by the perturbation method , the wave function solution and phase velocity equation of the Rayleigh surface waves are obtained in the paper.

对剪切弹性模量沿深度以指数函数变化的非均质半空间，本文用摄动法得到了Rayleigh面波的波函数解答及相速度方程。

The proposed circuit is designed to execute grouping filter operation after researching the symmetry of the point spread function.Thereby,the architecture reduces the requirement for the number of the multiplying units.The resource in FPGA is used effectively.

通过研究点扩展函数的对称性，将图像邻域内的像素进行分组滤波运算，明显减少了电路对乘法器数量的要求，有效地利用了FPGA的资源，适当地安排流水线和并行处理单元显著地提高了芯片的运行速度。

In Section four, Karsli introduces a new kind of Gamma operators and obtains an estimate of the rate of pointwise convergence of these new kind Gamma operators for functions with derivatives of boundde variation.

本论文将利用概率的方法和一些已有的不等式考虑新Gamma型算子对局部有界函数点态逼近速度的估计。

Taking range as the performance function, considering end velocity, height and trajectory slope angle constraints, the optimal glide trajectory was solved by maximum principle of Pontryagin and conjugate-gradient method.

建立了滑翔弹道模型，以射程为指标函数，考虑终端速度、高度和弹道倾角约束，采用庞特里亚金极大值原理和共轭梯度法求出控制变量有约束的最优滑翔弹道，简要分析了滑翔增程机理。

Some examples are calculated and by comparing the results with those obtained by the power series method, the validity and some excellences of the B-spline function method, such as wider convergent range, higher precision and less amount of computing time, are demonstrated.

所得结果很理想，验证了样条函数在此问题上的有效性，并在收敛速度、收敛范围、计算精度等方面体现了此法的优越性。

In fact, it is a parameter optimization problem with signal-to-noise ratio gain as an objective function under the condition λ1 - const (i.e., the system response speed is prescript).

实际上，它是在系统响应速度事先给定的条件下，以信噪比增益为目标函数的一个条件优化问题。

Therefore,a series studies of ice-pier vibration are performed from different aspects in this paper.The main work of this his thesis is summarized as follows:(1) Ice response spectra is proposed based on the idea of a seismic response spectra analysis of str .. uctures.Firstly,ice response spectra on the basis of power spectra density function is established;Secondly,based on the assumption of quadratic parabolic interpolation method,the nonlinear interpolation analysis method of ice response spectra is studied from both theoretical and practical points of view,and the successive computation formulas including ice displacement,velocity and acceleration response spectrum are deduced by Duhamel integral.Furthermore,to analyze the effectivity and applicability of the method, the real temporal curves of ice pressure are used to be studied.The results show that the presented method is more convenient and accurate to study the structural response induced by ice force,also it can be effectively applied in the design of ice resistance.

鉴于此，本文针对冰激桥墩结构振动问题从不同方面展开了一系列与之相关的研究，主要研究内容如下：(1)根据结构抗震反应分析思想提出了冰振反应谱，首先建立了基于功率谱密度函数的冰振反应谱；其次借鉴地震反应谱内插法的思想从理论和实际观点出发，假定在等距离微小时间间隔内冰荷载按二次抛物线规律变化，由Duhamel积分推导出冰振位移、速度以及加速度反应谱的一系列连锁公式，建立了基于非线性内插法的冰振反应谱，并利用实际冰压力时程曲线进行了冰振反应谱数值分析，为以后冰激结构振动的研究提供一种方便、简捷、精确的分析方法，也能够将其有效地应用到结构的抗冰计算中。

A good use of the integer type, the biggest 9999990 to support the decimal integer, It can perform large integers, plus or minus, multiplication, addition and modular, with a big round of the largest factions, extended Euclidean algorithm, the Chinese remainder theorem algorithm, Miller - Rabin primality testing algorithm, random generation of arbitrary integer spaces such as libraries, This kind of dynamic library has been used for commercial software, the reliability and speed is affirmed.

一个很好用的大整数的类，最大可支持9999990位的十进制整数，可进行大整数的加、减、乘、除和取模运算，并带有求大整数的最大公因数、扩展Euclidean算法、中国剩余定理算法、Miller-Rabin素性测试算法、随机生成任意位的大整数等函数库，这个类的动态库曾用于商业软件之中，其可靠性和速度是得到确认的。

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