二阶近似 meaning in English
second-order approximation
Examples
- Dual mathematical programming is used to map the original problem exactly and the second approximation of the dual problem is set up by taylor ' s expand form , it is solved by qp ( quadratic programming ) solving device
用对偶数学规划精确映射原问题，用泰勒展式建立对偶问题的二阶近似。最后用二次规划求解器求解。 - Abstract : based on two order approximation of the variation of refraction index produced by self - action while optical pulses are traveling in kerr - medium , the propagation equation has been solved . furthermore , the strict analytical expressions of the amplitude , width and chirp parameter of chirped gaussian pulse , relative to the propagation distance , are deduced . the solitary wave traveling conditions of fundamental mode gaussian pulse have been discussed
文摘:将光脉冲在克尔介质中自作用产生的折射率变化作二阶近似，求解所得到的传播方程，得到啁啾高斯脉冲幅度，脉冲宽度和周啾参数随传播距离变化的严格解析解，讨论了基模高斯脉冲孤波传播的条件。 - The stress and local stability constraints are transformed into movable lower bounds of sizes . an inverse variable xt = ? is inducted , and the objective function is expanded as second order taylor approximation while the displacement constriction is expanded as first order taylor approximation . the lemke algorithm is used to get the final design result
把复杂的应力约束和局部稳定约束转化为动态尺寸约束，引入倒变量x _ i 1 / a _ i将目标函数展开为二阶近似，将位移约束用莫尔积分化为一阶近似，用对偶规划方法将原问题化为等价的二次规划问题，调用lemke算法，求得最优设计结果。 - For initial rectangular and hexagonal disturbances on the interface , nonlinear fluid mechanics governing equations are solved respectively with the perturbation method , and 2nd - order approximate solutions are obtained . then effects of nonlinearity on r - t instability are discussed , and its significance is manifested
应用摄动方法求解非线性的流体力学方程组，分别针对矩形和等六边形的界面初始扰动，得到了扰动发展的二阶近似解，并分析了非线性对r - t不稳定性发展的影响，指出非线性在其中的重要意义。