Through Taylor expansion and multi-scale technique, macroscopic equation is recovered.
通过对演化方程的泰勒展开并应用多尺度技术恢复了宏观方程。
An approximate solution of the paraxial ray equation for cylindrical dense electron beams was obtained by means of the Taylor expansion.
本文提出圆柱形强流电子束的傍轴轨迹方程，可以用台劳展开求出它的近似解。
In chapter 7, an interval dynamic optimization method for uncertain structures using the improved 1st-order Taylor expansion is presented.
第七章针对区间参数振动结构提出了一种改进的动力响应的区间优化方法。
Nonlinear directly estimating formula for exponential curve which, through fixed point, was derived, by using first order approximation of Taylor expansion.
运用泰勒展开的一阶近似估计推导过定点的指数曲线的非线性直接估计公式。
Under the first-order approximation of Taylor expansion, the analytic expression for the defect mode frequency is derived, from which the coupling factor is deduced.
利用泰勒展式的一级近似，得到了缺陷模频率的解析表达式，进而得到紧束缚理论中的耦合因子。
To resolve the difficulty of progressive time calculating in normal inverse-time overcurrent curve, two algorithms of zonal table-lookup and Taylor expansion are put forward.
然后针对计算比较困难的一般反时限曲线，介绍了分区查表和泰勒展开法计算时延累加量的算法。
The traditional method of calculation for the acceptance parameters by Taylor expansion in three wave interactions is only suitable for the condition of small acceptance parameters.
采用传统级数展开方法计算晶体非线性三波互作用的允许参量。
To obtain desired wave characteristics of composite laminate, the varying rate of eigenvalue with respect to the thickness change is approximated by the second order Taylor expansion.
采用一种特征值反求形式的方法用来近似层状复合板的波动特性修改。
By means of the Taylor expansion technique, the asymptotic expressions of the dispersion curves at the long wavelength region were derived for flexural and longitudinal vibration modes.
利用泰勒展开技术，给出了长波区域弯曲振动模式和伸缩振动模式的弥散曲线渐近表达式；
The stiffness matrix of a hybrid crack-tip singular element is first derived, then by use of first-order Taylor expansion the mean and variance of stress intensity factors are formulated.
文中首先给出了杂交模式的裂纹尖端奇异单元的刚度矩阵，然后基于随机场的局部平均理论和一阶泰勒展开得到了应力强度因子均值和方差的计算公式。
Hessian matrices are used in large-scale optimization problems within Newton-type methods because they are the coefficient of the quadratic term of a local Taylor expansion of a function.
海森矩阵被应用于牛顿法解决的大规模优化问题。混合偏导数和海森矩阵的对称性海森矩阵的混合偏导数是海森矩阵非主对角线上的元素。
However, when its denominator was expanded in a Taylor series, a size consistent perturbation expansion was obtained, for the size inconsistent terms turned out to be cancelled out.
但将它的分母作泰勒展开，经过重新整理，将那些大小不一致的项消去后，得到的新微扰展开式是逐项大小一致的。
Based on interval mathematics and Taylor series expansion, the interval analysis method is used to deal with uncertainties.
区间分析法是基于区间数学和泰勒展开的一种处理不确定性的方法。
The Core Contingency expansion came along the next year, just about the time Taylor decided to move on and start his own company.
核心意外情况扩展到来了明年，关于时间泰勒被决定移动和建立他自己的公司。
The first order Taylor series expansion replaces the non-linear equation used in solving this plane, and thus simplifies the algorithm.
通过求解由一阶泰勒展开式得到的线性方程组，避免了为求解此平面而求解非线性方程组最小二乘解的过程，使算法简化。
The new method firstly obtains two approximate rotational invariance relations about distributed sources central DOA by the Taylor series expansion of array steering vector.
新方法首先通过阵列方向矢量的泰勒级数展开获得关于分布源中心DOA的两个近似旋转不变关系。
The forth derivative of gravity anomaly can be obtained by Taylor series expansion of gravity field.
利用重力场的泰勒级数展开式，可求出重力异常的四次导数。
On the basis of this, both the Taylor series expansion algorithm and two-times WLS estimation are applied to optimize the location estimation.
在此基础上，使用泰勒级数展开算法和二次WLS估计求解非线性定位方程组，以获得更高的节点定位精度。
The qualitative error analysis of the mechanical navigation system was implemented using Taylor series expansion method after introduction of the system characters.
在分析机构导航误差的基础上，提出用泰勒级数展开法对机构导航系统的误差进行定性分析；
Simulations showed that the performance of the proposed tracking method was better than the TDOA tracking method and the static location of Taylor series expansion algorithm.
实验证明，该方法的定位误差性能优于单纯的TDOA定位方法及静态定位方法中泰勒级数展开法的误差性能。
An error analysis using Taylor series expansion is applied.
格式精度分析采用泰勒级数展开的方法。
Compact finite difference scheme (CFDS) based on non-uniform meshes is constructed by matching the Taylor series coefficient expansion, and its truncation errors are analyzed.
采用泰勒展式系数匹配的方法构造出了非等距网格系统的紧致差分格式，并分析了其截断误差。
Compact finite difference scheme (CFDS) on non-uniform meshes and their truncation errors are constructed by matching the Taylor series coefficient expansion.
采用泰勒展式系数匹配的方法构造基于非等距网格的紧致差分格式并得出了它的截断误差。
In the work, an one order approximant for the mapping between the pressure and the specific volume in two phase regime was presented by Taylor series expansion.
本文通过引入两相流区压力和比容之间的一阶近似式，获得该问题的一阶近似积分解。
The ideal spectrum of the antenna is presented by using the data measured and the error operator with the Taylor series expansion.
运用泰勒级数展开，可将天线理想波谱表示为误差算子和近场测量数据的形式。
The ideal spectrum of the antenna is presented by using the data measured and the error operator with the Taylor series expansion.
运用泰勒级数展开，可将天线理想波谱表示为误差算子和近场测量数据的形式。
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