收敛的阶

Analytical expressions for electromagnetic fields of a vertical or horizontal electric dipole over the finitely conducting plane are derived subject to the boundary conditions; Sommerfeld type integral contained in Hertz potential is expressed as the sum of two parts: zeroth order Hankel function and an absolutely convergent series of spherical Hankel function.

在此边界条件下，推导出有限导电平面上垂直和水平电偶极子电磁场的解析表达式；赫芝位函数中的索末菲型积分被表达成零阶汉克尔函数与绝对收敛的球汉克尔函数级数之和的形式。

Using analytic continuation in the coupling constant method within the framework of the self-consistent relativistic mean filed theory, we study the energies and the widths of the resonant states in ~(16)O nuclei, and the influences of the coupling constant interval and the Pade approximant order are analyzed.

考察了~(16)O的中子共振态能级，并且详细研究了耦合常数右端点对应能量的变化和Padé多项式的阶数对能量和宽度的影响。结果表明：适当选取耦合常数取值区间可以得到既收敛又稳定的结果。

A class of convergent difference schemes with several parameters is proposed. According to the relationship between the subdivision scheme and its difference scheme and the sufficient condition for C\+k continuity, we can devise curve subdivision schemes with arbitrary order continuity.

构造了一类收敛的多参数差分格式，根据细分格式和差分格式的关系以及连续性条件可得到任意阶连续的多参数曲线细分格式。

Further, it is proved that the semi-implicit Euler method is convergent with order 1/2 in mean square sense for the linear test equation by virtue of properties of the conditional expectation.

在此基础上由条件期望的性质证明了半隐式Euler方法应用于线性试验方程时在均方意义下是l／2阶收敛的。

Two-dimensional Bernstein type operators on simplex are constructed, and a necessary and sufficient condition of uniform approximation by mem is obtained, at the same time, the degree of approximation is characterized by two-order moduli of smoothness.

并且构造出单纯形上推广的二元Bernstein型算子，给出其一致收敛的一个充要条件，同时用二阶连续模刻划了它们的逼近度性质。

A linear feasible direction algorithm is proposed to calculate reliability index of structure.

为克服当极限状态曲面方程非线性程度较高时应用一次二阶矩法求解可靠指标可能不收敛的问题，提出一种求解结构可靠指标的线性可行方向算法。

Here pis 1 or 2.In chapter 8. we extend the Runge-Kutta methods to variable delay differentialalgebraic system. It is proved that if the Runge-Kutta method which is algebraicallystable and diagonally stable is consistent with order p , the extended Runge-Kuttamethod with Lagrange interpolation procedure is D_A-convergence with order M. HereM=min{p, u + q + 1 }, and u + q is the degree of Lagrange interpolation polynomial.

第八章将求解常微分方程的Runge-Kutta方法改造后用于求解变延迟微分代数系统，并且证明如果代数稳定且对角稳定的Runge-Kutta方法对于常微分方程初值问题在经典意义下是p阶相容的，那么具有Lagrange插值过程的该方法是M阶D_A-收敛的，M=min{p，u+q+1}，u+q为Lagrange插值多项式的次数。

The voltage and the sensitivity of voltage to system operation parameters are calculated by Newton power flow approach; the various higher order derivatives of voltage and voltage sensitivity to line openbreak parameter can be obtained by using the convergent correction equation of power flow and the equation of calculating sensitivity for the N power system. Finally, the voltage and sensitivity of N-1 power system can he calculated by correcting the voltage and sensitivity of N power system by Taylor series expansion.

通过牛顿潮流计算出N网络的各节点电压及其对系统运行参数的灵敏度；利用已收敛的潮流修正方程式和N网络灵敏度计算方程式分别对线路开断参数多阶求导，从而计算出电压和灵敏度对此线路开断参数的多阶导数值；根据泰勒级数展开式修正N网络的电压和灵敏度值，得到N-1网络的电压和灵敏度值。

This problem translate into includes maximum function Max{0 only, the blame of T} is smooth problem, be not glossy issue to put forward a kind to have global astringent to this 2 rank change algorithm glossily.

该新问题转化为只包含最大值函数max{0，t}的非光滑新问题，对该非光滑新问题提出一种具有全局收敛的二阶光滑化算法。

A sufficient condition ensuring the Gauss-Newton method quadratically convergent exactly is given.

给出了保证Gauss-Newton法恰2阶收敛的条件，在此基础上构造了利用条件预优共轭梯度法求解Gauss-Newton方程的新的有效算法。

They weren't aggressive, but I yelled and threw a rock in their direction to get them off the trail and away from me, just in case.

他们没有侵略性，但我大喊，并在他们的方向扔石头让他们过的线索，远离我，以防万一。

In slot 2 in your bag put wrapping paper, quantity does not matter in this case.

在你的书包里槽2把包装纸、数量无关紧要。