查询词典 integral of a function

In this paper, the performance of SVM based on Fourier kernel is studied which aims at the regression in signal processing questions, and the influence of parameter q on performance of SVM is analyzed. A conclusion is drew that the integral of Fourier kernel in one period is a constant and the concept of equivalent kernel function width is proposed.

本文针对信号处理中的回归问题，研究了基于傅立叶核函数支持向量机的性能，并分析了参数q对其性能的影响；根据推导得出傅立叶核函数在单个周期内积分为常数的结论，并提出了等效核宽度的概念；最后的仿真结果证实了，在信号处理领域，采用傅立叶核函数的支持向量机比采用径向基核函数的有着更好的性能。

A function was set up to deduce a second kind of Fredholm integral equation by using the basic solution of Poisson＇s equation.

将弹性扭转问题看成为泊松方程的边值问题，利用泊松方程的基本解构造了一个函数，推导出第二类Fredholm积分方程。

By using the approach of weight function, a new Hilbert-type integral inequality with some parameters and a best constant factor is given. The reverse form and the equivalent forms are also considered.

应用权函数的方法，建立一个新的含多个参量的具有最佳常数因子的Hilbert型积分不等式，并考虑了它的逆向形式及相应的等价形式。

This paper makes use of a Lyapunov function and a nonlinear integral inequality of Gronwall-Bellman-Bihari type to study the asymptotic hehaviors of solutions of a second-order nonlinear functional differential equation. In part I, a group of sufficient conditions is given on continuation of solutions and three groups of sufficient conditions are given on boundedness of solutuicns of equation.

本文利用李雅普诺夫函数及一个Gronwall—Bellman—Bihari型的非线性积分不等式，研究一类二阶非线性泛函微分方程解的渐近性态，在第一部份，给出一组方程的全体解可延展到t=+∞的充分条件及三组方程的全体解有界的充分条件。

Therefore, a controller with an integral form of sign function, combined with a proportional controller, is proposed in this research.

因此，我们提出了积分型态控制输入结合比例控制器。

Is the following: the presence of PLC jerkiness means that the concept of a potential energy function is not really valid, since the requirement for its definition is that a closed integral of the force with respect to displacement must vanish.

下列各项是吗：PLC 急动的出现意谓潜在的能源功能的观念不真的有效，自需求以后因为它的定义是力量的一个关闭整体有关於换置一定消失。

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。

Thirdly,we study certain Riemann boundary value problems and Singularintegral equations with values in a universal Clifford algebra 〓,by com-bining the classical methods of solving Riemann boundary value problems andsingular integral equations with the Taylor's expansion of regular function in Clif-ford analysis,proving a lemma which is similar to the Painleve theorem in theclassical complex analysis,and the Plemelj formula in Clifford analysis,we obtainthe better results under weaker condition than before.

第三，本文第一次借助于用来解决经典的Riemann边值问题与奇异积分方程的方法来研究Clifford分析中的某些Riemann边值问题与奇异积分方程，获得了在比以前文献中条件更弱的情况下，结论更广的结果，并且，它为更进一步地解决在Clifford分析中一般的Riemann边值问题与奇异积分方程提供了基本的解决思想，为这一新的研究领域奠定了基础。

By constructing a new Lyapunov-Krasovskii function, using free-weighting matrix and triple integral approach, a controller design scheme is proposed in terms of linear matrix inequalities.

通过构造新的Lyapunov泛函，引入自由权矩阵和三重积分，以线性矩阵不等式形式给出了控制器的设计方案。

The foundation soil is divided for finding the ultimate bearing capacity of a foundation with given buried depth and size. Supposing a uniform load acts on the foundation, Mindlin's integral formula and comer points method are used to get extra stress of every mesh knot by MATLAB program, then the principal stress is found. Combining with failure criterion, MATLAB program is used to find coordinates of points which are destroyed. Using graphic processing function of MATLAB, the failure points are showed in the coordinate.

为确定作用在已知埋深、给定基础形状地基土上的极限承载力，对基底下的土体进行网格划分，先假定一均布荷载作用在此地基土上，运用明德林解的积分公式，结合角点法，编制MATLAB语言程序，求出每个网格节点上附加应力，进而求得每个网格节点上主应力，根据破坏准则，结合程序找出破坏点的坐标，利用MATLAB的图形处理功能，把破坏点的坐标在坐标图中显示出来。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。