但是，随着角度增加到 360度、720 度（4pi弧度）以及更大时，泰勒级数就逐渐需要更多条件来进行准确计算。
However as the angle increases to 360 degrees, 720 degrees (4 pi radians), and more, the Taylor series requires progressively more terms for accurate computation.
另外又指出矩阵幂级数是正规矩阵的条件。
We shall also point the condition that matrix power series is normal.
有学者已就清代级数论的一组初始条件作了不少解释，至于它被近代级数论完全取代的决定因素则未论及。
The initial conditions of Qing-times series have been explored by many scholars, however, the reasons why it was entirely replaced by modern series have not been discussed yet.
另外用代数多项式和双正弦级数组成的解来满足角点条件。
Moreover, the solution composed by algebraic polynomial with double sine series is used to satisfy the corner conditions.
通过对阿贝尔定理的深入探讨，获得了幕级数在其收敛区间端点收敛的一些判别条件。
We obtain a sufficient condition and a essential - sufficient condition about convergence at the end point of the convergence interval of power series.
然后利用双三角级数构造满足层板分层区位移边界条件的位移模态。
Then, a trigonometric series is applied to describe the displacement mode satisfying the boundary conditions.
根据简化的边界条件，得到了面内应变和弯曲应变的级数解，进而求得剪力滞后系数。
Series solutions were derived for the in-plane strain, deflection and bending strain that satisfy the simplified boundary conditions to calculate the shear lag coefficient.
第二部分是在一致收敛条件下函数列、函数项级数以及含参量反常积分的性质。
The second part is in uniform convergence conditions function series, function and parameter improper integral. We properties.
并提出了一种基于几何级数的极限条件估计学习控制过程收敛条件的理论方法。
A theoretical consideration to estimate the convergence conditions in learning control process is proposed in accordance with the limit condition of a geometric series.
寻的运动在相遇点即奇异点展成级数可得解为有界的条件。
The condition for finite solution of homing motion can be obtained from the series form solution at singular point.
本文推导了正弦级数与多项式的梁函数，它可以满足梁的简支、固定、自由等各种边界条件。
In this paper, sine series and polynomial beam functions are derived. They can satisfy various boundary conditions of beams such as the simply supported ends, fixed ends and free end.
然后，采用分离变量法和特征函数展开法在相应的边界条件下求出级数解。
Secondly, the method of separation of variables and the eigensolution expansion method are used to obtain the analytical solutions of thick plates under corresponding boundary conditions.
根据曲板的边界条件给出三角级数的解析解和有限条法的近似解。
According to the boundary conditions of the curved slab, an analytical solution by trigonometric series and an approximate solution by method of finite strips have been given.
本文利用矩阵方法对二重函数项级数进行讨论，得到了极其自然的收敛条件。
In this paper double series of functions with posititve coefficients are discussed and a natural condition of the convergence is obtained with the aid of matrix methods.
通过实验，筛选出了合适的萃取剂，并确定了萃取级数和精馏操作的条件。
Suitable extractants are selected through experiments, and extraction degree and rectification conditions are fixed.
本文根据语音可以表示为有限项正弦级数的理论，在把耳蜗流体视为实际的粘性流体的条件下，建立了一种新的听觉模型，并在频域上求出了模型的传输函数。
According to the theory that speech can be represented as a sum of sinusoidal waves, a new auditory model is developed on condition that cochlear fluid is considered as actual viscous fluid.
应用带补充项的富氏级数法是为了满足任意的边界条件。
The application of the Fourier series with supplementary terms ensures that the arbitrary boundary conditions can be satisfied.
分别建立了空腹夹层板基于两种模型的基本微分方程，并推导出矩形平面、周边简支条件下的级数解，得到一些有价值的结论。
The differential equations about the two models are educed, the solution of series at the simply supported boundary is presented, and some valuable conclusions are reached.
在两端简支的边界条件下采用分离变量法求解偏微分方程，得到用级数表示的应力解，然后根据剪力滞系数的定义即可得到组合箱梁翼板的剪力滞系数。
Separation of variables is employed to solve the differential equation under the boundary condition of two ends of the girder being simply supported, and the solution of stress is…
分别应用根树、B -级数理论、P -根树、P -级数理论推导方法的阶条件。
We use theory of trees, B-series, P-trees and P-series to deduce the order conditions of the methods constructed.
借助于脉冲波形的傅里叶级数分解，研究了一般交流应力条件下金属化电迁移的影响因素，建立了一般交流应力条件下金属铝膜电迁移寿命模型。
Metal Aluminium film EM in general AC stress has been researched with Fourier decomposition, developing a Metal Aluminium film EM life model under in general AC stress.
将复势函数进行罗伦级数展开，通过边界条件得到罗伦级数展开式系数的递推公式，并由复势函数确定应力分量和位移分量。
The complex potentials were expanded into Laurent Series whose coefficients could be expressed by recurrent relations. The stresses and displacements were then be determined by complex potentials.
提出了一种基于几何级数的极限条件估计学习控制过程收敛条件的方法。
A theoretical method which estimates the convergence condition of the learning control process based o...
在两端简支的边界条件下采用分离变量法求解偏微分方程 ，得到用级数表示的应力解 ，然后根据剪力滞系数的定义即可得到组合箱梁翼板的剪力滞系数。
On the basis of mathematical statistic, using the method of multiple regression analysis, the practical calculating formula of the shear lag coefficient in thin-walled curved box girders is derived.
另外又指出矩阵幂级数是正规矩阵的条件。
The Problem of a General Formula of them-power norder Matrix;
另外又指出矩阵幂级数是正规矩阵的条件。
The Problem of a General Formula of them-power norder Matrix;
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