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With the Lagrange multiplier method , the minimum distance of the center of a circle and a quadric surface was provided and the tangency condition of curve and surface was given.

利用拉格朗日乘子法求解二次曲线和二次曲面之间的最小距离,给出了曲线与曲面相切的条件。

In this paper, Lagrange function and a Hami quantity are used to develop the equation of motion for a non-inertial system in the presence of central force field.

采用拉格朗日函数与哈密顿量来讨论非惯性系统在有心力场存在时的运动方程。研究结果表明,这一方法远比通常方法简单、方便

The music of pop-jazz chanteuse Norah Jones garnered eight Grammy awards Sunday night, including album and record of the year, capping a year where the sultry singer catapulted to international acclaim.

纽约,2月24日—星期日晚间,流行爵士乐女歌手诺拉·琼斯的歌曲共为其带来八项格莱美大奖,其中包括最佳年度专辑和最佳年度单曲,这成为这位性感女歌手在国际乐坛一举成名的一年的圆满结局。

Prominent among recent Jesuit theologians are Pierre Teilhard de Chardin, Karl Rahner, and Bernard Lonergan.

其中最突出的,最近耶稣会神学家们皮埃尔德日进,卡尔拉内,和

In this paper, a modified lagrangian test is used to measure the shock initiation pressure histories of the solid propellant. A new high accuracy chemical reaction rate equation is proposed by the global calibration on the basis of lagrangian analysis.

在固体推进剂的冲击起爆研究中,本文采用了改进的拉格朗日测量方法对起爆过程中的压力史进行了测量,得到了物理意义明确的化学反应速率方程,通过反应区整体标定方法,提高了固体推进剂本构方程的精度。

Surplus is to attempt a circumnavigation of the globe in the autogyro, starting from Larne on March 18, depending on the weather.

盈余尝试对在旋翼环球一周,由拉恩3月18日起,根据天气。

Those candidates allowed to compete by the Kremlin included the Communist Gennady Zyuganov, the clownish nationalist Vladimir Zhirinovsky and a Kremlin clone, Andrei Bogdanov.

这些得到克里姆林宫同意竞选的候选人包括俄罗斯共产党中央委员会书记根纳季·久加诺夫,滑稽的民族主义者弗拉基米尔·日里诺夫斯基和克里姆林宫的嫡系安德烈·博格丹诺夫。

The Hestenes-Powell augmented Lagrangian function has been used for solving inequality constrained optimization problems via unconstrained minimization techniques.

增广拉格朗日函数法是用无约束极小化技术求解约束优化问题的一类重要方法。

In this paper, the Hestenes-Powell augmented Lagrangian function is again considered, for solving equality constrained problems via unconstrained minimization techniques.

本文对用无约束极小化方法求解等式约束非线性规划问题的Hestenes-Powell增广拉格朗日函数作了进一步研究。

Firstly, the approach formulates a cost functional to turn the inverse problem into a constrained minimization problem according to least squares criterion, then the resulting constrained minimization problem is transformed into an unconstrained minimization problem by using a penalty function technique, and then the closed Fr chet derivatives of the Lagrange function with respect to the properties are derived based on the calculus of variations, finally, one can solve the resulting problem by using any gradient-based algorithm and the finite-difference time-domain method.

该方法首先以最小二乘准则构造目标函数,将逆问题表示为约束最小化问题;接着应用罚函数法转化为无约束最小化问题;然后基于变分计算导出闭式的拉格朗日函数关于特征参数的Fr chet导数;最后借助梯度算法和时域有限差分法迭代反演德拜模型参数。

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