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A generalized mathematical model was developed to describe the distribution of over-potential.Dimensionless variables μ and ω that characterize the polarization and influence of side electrode reaction in the system,were derived from modeling.Adomian's decomposition methodADM)was used to solve the nonlinear differential equation of the model to obtain an approximate analytical solution,which was in the form of algebraic expressions of infinite power series.By the solution,the relationship between over-potential distribution and average selectivity could be easily calculated without solving the nonlinear model time and again.

建立了描述超电势分布的普遍化数学模型,归纳出表征电极极化和副反应影响的量纲1数μ和ω,并用ADM(Adomian's decomposition method)对该非线性微分方程模型求解;所获得的逼近解代数表达式,可方便地计算不同参数下超电势分布对平均选择性的影响,而毋需反复求解模型微分方程。

On the basis of analysis and comparison of their strengths and weaknesses, each method can find its applied occasion. With energy method, we can conveniently control the precision of the objective surface and add boundary constraints for preserving the models global geometric continuity, but this method is very time-consuming.

其中基于能量原理的光顺方法能够方便地控制目标曲面的精度和边界条件,从而能够实现曲面模型的全局连续性,但是能量法的运算速度还有待提高;刚度调整法实现简单,但是生成的曲面的可编辑性较差;小波分解方法计算速度很快,能够有效地实现数据压缩,但是其逼近误差和边界条件却难于控制。

In order to overcome shortcomings that the circular arc and ellipse could not be accurately represented by CE-Bézier curves, this method used the continuity condition of CE-Bézier curves and C-Bézier curves to resolve the representation of circular arc and ellipse in CE-Bézier curve modeling.

该方法首先构造了一种具有优良形状可调性和更好逼近性的带3个形状参数α,β,γ的三次扩展Bézier曲线(CE-Bézier曲线);并针对CE-Bézier曲线无法精确表示圆弧和椭圆弧等二次曲线的缺点,利用CE-Bézier曲线与C-Bézier曲线间的拼接技术,解决了CE-Bézier曲线造型中圆弧和椭圆弧的表示问题。

We study the relations among MS, QMDS, RBVS, AMDS, GBVS and NBVS. Finally. we improve some classic results in Fourier analysis such as uniform convergence, L~1 convergence, L~p-integrability, strong approximation of continuous functions et al., by applying this new condition.

我们研究了MS,QMDS,RBVS,AMDS,GBVS和NBVS等不同数列之间的关系,在此基础上,我们给出了NBV条件在研究三角级数的一致收敛性、L~1收敛性、L~p可积性、连续函数的强逼近等Fourier分析经典问题上的应用,对一些经典的结论作了推广。

Using the method of approximating the Lipschitz functions by the convex functions, we give a sufficient condition for the set where Lipschitz functions on a Hilbert space are Frechet differentiable is a residual set.

我们利用Lipschitz函数空间中凸函数的逼近性质来分析Lipschitz函数的微分性质,得到Hilbert空间上Lipschitz函数的Frechet可微点集是剩余集的一个充分条件,以标题"Lipschitz函数与凸函数之间的一些联系"在中国科学杂志上发表。

We construct a kind of special matrix function, which is used to characterize the minimization property of this iterative method, and prove that the approximate solution, generated by this iterative method, minimizes this kind of matrix function over a special affine subspace, which means that the Frobenius norm of the residual sequence is strictly monotone decreasing.

通过构造一类特殊的矩阵函数来刻画该迭代方法的极小化性质,并证明了由该迭代方法计算出来的逼近解,可使得这类矩阵函数在一个仿射子空间上达到极小,而且所得到的残差序列的Frobenius范数是严格单调递减的。

Used traditional measurement equipment and a new method-optimal approximation between measured and numerical calculation values, the coefficient of thermal conductivity of cornea was measured. It can be expressed by the equation of λ=0.10395+2. 75156×10〓t.

本文在不改变现有传统测定设备的前提下,采用一种新方法—通过数值计算角膜表面温度变化规律与实测值之间的最佳逼近,确定物体变物性导热系数的参数估算方法,对角膜的导热系数进行了测定,在角膜冻干的温度区间内,角膜的导热系数可近似地表示为λ=0.10395+2.75156×〓。

Therefore, to the subsample's observation of continuous random parent population, if its material function can not be gotten easily the presented method can be used to approximate its distribution function, and.

因此对连续型随机样本母体中的简单随机子样的观察值,在不易得到其具体分布的情况下,可用此方法来近似求出其分布函数并可达到很好的逼近效果。

It consists of three parts firstly,a large number of meshing data were measured out through three dismountable teeth installed along the radial direction of rigid wheel under loading status,secondly,the experimental curves of tangential force t and of radial force r inside meshing zone were gained by means of method of mathematica...

包括三部分:首先,在载荷状态下,通过安装在刚轮径向方向上三个可装、拆的活齿,测得大量的啮合数据;其次,通过数学统计方法获得啮合区内切向力Ft和径向力Fr的实验曲线;最后,应用函数逼近法获得载荷区内载荷分布方程

The experimental results show that the proposed ACA with the roulette wheel selection can obtain better performance than that generated by the conventional polygonal approximation methods.

实验结果显示,我们所提出的ACA方法以轮盘的赌轮选择,比传统多边形逼近法可获得更好的表现。

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