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A relatively direct method is expounded in this paper to prove the termwise differentiation of power series, and a simple method is expressed to calculate the Fourier coefficient.

文摘：用比较直接的方法证明幂级数的和函数在收敛域内可以逐项微分的公式；并得到了计算傅立叶系数的一种简便方法。

In this paper, a traditional boundary following is improved by using a new algorithm with a criterion to control search. A describes symbols method is proposed by use Fourier coefficient. The way how to calculate these coefficients from chain code is given. Then the calculation formula is further ameliorated. And how to extract shape feature invariant from Fourier coefficient is introduced also.

为此，本文利用带搜索控制准则的新边界跟踪算法改进了传统的边界跟踪算法，提出了用傅立叶系数描述符号，给出了如何由链码计算傅立叶系数，并对计算公式作了进一步改进，以及由傅立叶系数提取形状特征不变量。

In using the field expression with Fourier integral form to calculate the performance of SLIM, the fast Fourier transformation algorithm is first employed in this dissertation to compute the Fourier integral.

在应用傅里叶积分形式的场量表达式计算单边直线感应电机的特性时，本文首次引入快速傅里叶变换算法计算傅里叶积分。

After compared with other several numerical analysis methods, Fourier series fitting method is applied to calculate the parameters of motion of the mechanism.

最后通过对几种数值计算方法在计算机上进行实际计算比较，确定采用基于最小二乘原则的Fourier级数拟合方法计算出机构的运动参数。

Because one need to search H in the range of 110, 1 and calculate the autocorrelation function many times, the concise formula of autocorrelation function of discrete fractional Gaussian noise is used to improve the processing speed. Simulation results have shown that it can estimate H accurately and more effectively than conventional LMS based on autocorrelation ftinction for both pure fractal signal and noise-corrupted fractal signal.

接着我们研究了在白噪声背景下进行分形参数估计的相关函数法，针对其在计算中需反复使用自相关函数的特点，提出了一种改进的相关函数法，实验表明，改进的方法在精度上几乎没有损失，而大幅度地提高了计算效率。

Corporate law has fragmental provision on how to calculate shareholder right.

现行公司法对股权大小如何确定只有零星的规定。

It solves the problem that how to calculate diffusion coefficient D when the fluorescence have significant linear attenuation which is often observed in FRAP experi- ments.

本文提出了一种切实可行的计算膜脂流动性的方法，给出了详细的实施步骤、计算方法及结果，并解决了在荧光存在明显线性衰减这一常见情况下的扩散系数D 的计算问题。

Through the Radon transformation of the normally ordered Wigner operator we introduce two mutually conjugate intermediate coordinate- momentum representations. Based on them we construct the appropriate quantum phase space theory which includes the new Wigner operator adapting to this space and construct the appropriate generalized Fredholm operator equation and then find its solution. We then deriving the Hermite polynomials operator identities by applying the Fredholm equation. We also reveal the connection between the generalized Wigner operator and the 2-dimension normal distribution in statistics, which is useful to study the quantum tomogram. As the application of the entanglement Husimi operator theory we calculate the Wigner function and the Husimi function of the one- and two-mode combination squeezed state , study their characters through drawing the three-dimensional graphics.

由正规序Wigner算符的拉登变换引入了两个互为共轭的中介坐标-动量表象，在此基础上我们建立了相应的量子相空间理论，其中包括引入适合该空间的新的Wigner算符；并在该表象的基础上，建立了广义Fredholm算符方程，求出了它的解，并运用该方程导出有关厄米多项式的算符公式；揭示广义Wigner算符与统计学中的随机变量的二维正态分布形式上的相似，这对于研究量子态的tomogram(是英文Tomography的派生词)有用。

From the chromatographic retention data it was possible to calculate the separation factors for the two solutes and to obtain values for thermodynamic parameters such as the Gibbs free energy ΔG(subscript s and the enthalpy ΔH(subscript s of adsorption of water and ethanol on the fuel ethanol special adsorbent.

由气相色谱的保留时间计算出水和乙醇的分离因子和吸附剂吸附水、乙醇的吉布斯自由能变化ΔG(下标 s、吸附焓变ΔH(下标 s等热力学参数。

A theoretical model is proposed to calculate the lasing wavelength of free-running Ytterbium-doped fiber lasers.

为了更好地设计掺镱光纤激光器，提出了一种用于确定自由运转的掺镱光纤激光器激射波长的计算模型。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。