格朗

A novel method was proposed for average link loss from the view of loading and power in VSF-OFCDM downlink.

本文对VSF-OFCDM最大容量的推导及利用拉格朗日乘数的方法是一个较大的创新，同时得出一个非常重要的结论：只有当各个子载波发射功率相同且为基站最大发射功率的平均值时(即基站最大发射功率平均分配给每个子载波)，VSF-OFCDM才能获得最大的容量。

As the inversion and compression attack includes the question relating to solving thepreimage from image of function, a subdivision algorithm for solving preimage of function withbounded derivative based on Lagrange mean value theorem is proposed firstly.

由于逆推压缩攻击方法涉及混沌映射的求逆，针对复杂混沌映射求逆困难的问题，运用拉格朗日中值定理，我们提出了求解导函数有界的函数原象的分割算法，给出了使分割算法计算复杂性上界达到最小的充分条件。

Then, in the study of finite degree of freedoms, we introduce the principle of least action, the Lagrangian formula, and the Hamiltonian formula.

然后在讨论多自由系统中引入最小作用量原理，并介绍拉格朗日、哈密顿程式。

By introducing the analytic expressed unit commitment risk constraints into the unit commitment Lagrangian relaxation method, the probability reserve constrained unit commitment problem can be achieved and optimized indeed.

在此基础上，将投运风险度约束以解析表达的方式引入机组组合的拉格朗日松弛法中，有机一体的完成了概率备用约束的机组组合问题，实现真正意义上的优化。

Fig. 4 The time evolution curves of solar wind speed , proton number density, temperature and the ratio of proton thermal pressure to magnetic pressure at Lagrange point L1 obtained from numerical simulation.

图4。 在拉格朗日点L1处，数值模拟得到的太阳风速度，质子数密度，温度和质子热压力与磁压力的比值随时间的演化曲线。

C completed the calculation method piecewise linear, quadratic interpolation, and the region between the Lagrange interpolation calculation!

利用C++完成计算方法的分段线性，二次插值和全区间拉格朗日插值的计算！

The Lagrange relaxation method is used to solve this problem. 5. Deal with bandwidth-constrained multicast routing problem.

利用拉格朗日松弛法给出了带度约束和时延约束的多播路由算法，算法效果良好。

Modeling of a rigid-flexible coupled dynamic system.we derivedthe equations of a rigid-flexible coupled dynamical system by usingLagrange Method,including the rigid's space three-dimensionmotion,the beam's vibration and the non-linear joint.

针对某一刚柔耦合多体系统，应用拉格朗日方程建立了含有刚体空间三维运动、柔性体弹性振动及非线性弹性铰的较为完善的动力学方程，由此可以根据不同的实际情况进行简化而得到相应的方程，免去了重新进行烦琐推导的过程。2。

We take sech form ansatz and solve the CNLS equations through variational approach. We obtain the analytical expression of nonlinear coupling term, which is in the lagrangian of CNLS. We apply a potential well model to analyze the interaction properties of self-trapping beams in detail, the results show that the interaction do not change the profile of the beams, two beams keep oscillating around their collective center periodically. The amplitude and period of this oscillation are both determined by initial separation of two beams.

我们采用Sech函数为试探函数，用变分法求解CNLS方程，（1）给出了CNLS方程所对应的拉格朗日中的非线性耦合项的解析表达，（2）利用势阱模型详细分析两自陷光束之间相互作用的特性，结果表明，相互作用没有改变孤子的形态，它们分别在与传播方向垂直的方向上绕它们的公共中心做往复振动，振动幅度及周期都取决于两光束的初始分隔。

At first we set up the model of seesaw with the use of Lagrange function and linearize it .

我们首先运用拉格朗日方程建立了系统的数学模型并进行了线性化。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新