单阶

Then, the sequence voltages of the slack bus is replaced, and finding the positive sequence power flow several times until convergence comes off. Compared with the three-phase Newton-Raphson method, the Jacobian matrix with the proposed algorithm is of much lower order. The computation of finding the negative sequence component from the coupling power is only division arithmetic.

本文算法中修正方程式的雅可比矩阵阶数同单相潮流算法相同，是传统三相潮流算法的1/3，而通过耦合功率求解负序分量的计算，仅仅是简单的除法运算，计算量远远小于高阶矩阵的处理，因而总体上，与传统方法相比，大大降低了计算量。

R value is the ratio of the cross section of hadron production from the annihilationof 〓 into virtual γ to that for muon...

R值是正负电子碰撞经单光子湮灭产生强子的最低阶总截面与产生μ轻子对的最低阶截面的比值。

R value is the ratio of the cross section of hadron production from the annihilationof 〓 into virtual γ to that for muon pairs in the lowest order.

R值是正负电子碰撞经单光子湮灭产生强子的最低阶总截面与产生μ轻子对的最低阶截面的比值。

Based on Crank-Nicoson's technique, and a new approach for the numerical simulation of the model is raised. The truncation error of the one step difference method reaches O (△t^2+△x^2) and of quite good stability condition.

基于Coriolis加速度和Lagrangian应力公式，利用Newton第二定律导出轴向加速度运动弦线横向振动的动力学模型；通过线性变换将方程化为一阶无量纲的非线性微分方程组；并利用Crank-Nicoson的中点离散技巧，给出运动方程的单步二阶差分方法；算法把对运动方程和本构方程分别离散，使之可以用于不同本构的运动弦线的数值仿真。

The objective of this study is aimed at the implementation of parallelized numerical quadrature routines. The algorithm we choose for numerical quadrature routines is the so called "Adaptive Romberg Tree integration scheme"(abbr."ARTint") proposed by Lin et. al.[1997]. This numerical quadrature scheme can arrange the function evaluation points adaptively in accordance with characteristic of the trend of variation in integrand function values. When the accuracy of the numerical quadrature value is requested to be increased, a newer and larger set of function evaluation points must be incurred. The main advantage of ARTint method is the inclusion of all function evaluation points used in previous stages. It is this feature of ARTint method that makes it a quadratue scheme with prominent computation efficiency.

本研究在探讨数值积分程式之平行化，所使用的演算法为林聪悟与林佳慧[1997]一书所提出的「Romberg树自动布点数值积分」架构，此一数值积分方法能以适应被积函数值变化情形方式自动安排积分点来进行数值求积计算，在提高阶数以获得更高精度积分值的过程中，此一方法只须再计算新增加积分点的函数值，搭配先前已计算过的函数值的重覆运用即可获得更精确的数值积分估计值，如此将能减少升阶过程中函数求值计算的次数，有效率地完成单重积分的数值计算。

For the second order inclusion, using the transformation of variable, the existence of nonoscillatory solutions can be reduced to the existence of solutions for a first order inclusion.

在引进了微分包含解的振动性和非振动性的定义之后，通过分析解的单调性给出了一类二阶包含解的渐近性和振动性的判别准则；对于一阶微分包含，首先证明了时滞微分方程的振动性定理，在此基础上给出微分包含的结果。

Recently,atoms with higher order vanishing moment were defined by Krant-z etc on some particular spaces of homogeneous type,but it hasn't been solvedthoroughly on usual spaces of homogeneous type.On the other hand,krantz'sstudy was made under the condition which the measure of the sets constructedby single element is zero,therefore their work didn't include the case of integ-er Z as a particular space of homogeneous type.Indeed,as a Hardy space on Z,〓(0＜p≤1)has been studied by some scholars.

尽管近来Krantz等人在某些齐型空间上定义了带高阶消失矩的原子，但在一般的齐型空间上建立带高阶消失矩的原子Hardy空间还没有完全解决，而且Krantz等人的工作是在单点集测度为零的条件下讨论的，因而不包括作为齐型空间的整数Z的情形。Z作为一类特殊的齐型空间，其上Hardy空间〓的问题有不少学者讨论过。

It is proved that Newton iteration method is still quadratically convergent under a weak condition, and a new point is added to Newton s method , i.

本文讨论求解非线性方程的牛顿法，证明牛顿法在一个弱条件下仍保持局部二阶收敛性，给出牛顿法的一点改进，即一个不带导数的单参数的二阶收敛的迭代法，而且分别得到这两种迭代法的收敛因子，最后进行数值实验

It is found that the melting points of borides of IVB and VB group elements are higher than their simples. It is because their hybridization levels are higher, and their single bond radius are shorter.

发现IVB，VB族元素的硼化物熔点都比相应的单质有较大提高，原因是组成元素的杂阶升高，单键半距随杂阶升高而逐渐下降。

Coupling between different planers motion of a cable and between cables and mast having been considered, a practical formula is developed to calculate dynamic tension of cable and dynamic equations of guyed mast expanded order system are derived.

在单索结构振动理论的基础上，用纤绳的前4阶振型拟合其空间振动曲线，综合考虑纤绳在空间的耦合振动和纤绳、杆身的相互影响，得到纤绳动张力实用表达式和整体结构的扩阶振动方程。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。