格朗

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

In the 1960s, American psychologists Miergelang designed a chain letter experiment.

20世纪60年代，美国心理学家米尔格朗设计了一个连锁信件实验。

Introducing the user algorithm of the broadcast ephemeris, the algorithms are explained on principle, which are Lagrange Interplation and Chebyshev polynomial simulation. Then comparisons of calculating of satellite coordinate with broadcast ephemeris and with precise ephemeris are made.

推导了广播星历用户算法，对GPS数据处理中常用的拉格朗日内插和切比雪夫多项式拟合从原理上进行了阐述，并对广播星历卫星坐标计算和精密星历卫星坐标计算进行了分析比较。

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。

Urbain Grandier held the living of Saint-Pierre and a canon's stall at the collegiate church of Sainte-Croix.

乌尔班。格朗迪埃主持着圣皮埃尔教区并在圣克洛瓦教堂占有一个席位（living a canon's stall at the collegiate church of Sainte-Croix）。

Independently from each other, compound interest was studied and probability theory emerged as a well understood mathematical discipline.

复利与概率理论也分别产生，前者被学者研究，而后者作为数学学科得到了较好的理解。1662年，伦敦布商约翰·格朗特带来了另一个重要的突破。

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。

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