格朗

Chapter 2 describes a dynamic model of the acrobat is established based on homogeneous transformation.

第2章基于齐次变换和拉格朗日方程，建立了Acrobot的动力学模型。

Data assimilation ; adjoint method ; cost function ; Lagrange function

资料同化；伴随方法；目标函数；拉格朗日函数

It is pointed out that the classical Lagrange multiplier method is one of the theoretical fundament of the adjoint method in data assimilation.

论述了数据同化中的伴随方法与泛函分析中的伴随算子的关系，指出经典的拉格朗日乘子法可以作为伴随方法的理论基础。

Main work follows:(1) In the first part of this paper, a historical development of the number theory before Gauss is reviewed.Based on the systematic analysis of Gauss"s work in science and mathematics, inquiry into the mathematical background that Disquisitiones Arithmeticae appeals and Gauss"s congruent theory;(2) The development process of Fermat"s little theorem and its important function in the compositeness test is elaborated through original literature.we think that the first three section of Disquisitiones Arithmeticae is a summary and development for ancestors" work about Fermat"s little theorem,show that Fermat"s little theorem played an important role in the elementary number theory;(3) With the two main sources of the quadratic reciprocity law, investigating Fermat,Euler,Lagrange,Legendre, until the related work of Gauss,the way to realize the laws huge push to the development of algebraic number theory in 19 centuries.

本文主要做了以下工作：(1)首先回顾了高斯之前的数论研究状况，在系统分析高斯的科学与数学成就的基础上，探讨了《算术研究》出现的数学背景和高斯的同余理论；(2)通过对原始文献的系统解读，深入分析了费马小定理发现发展的历程以及在素性检验中的重要作用，指出《算术研究》前三节是高斯在总结并发展了前人对该定理研究的基础上形成的，并揭示了费马小定理在初等数论定理证明中的核心地位；(3)以二次互反律的两个主要来源为线索，详细考察了费马，欧拉，拉格朗目，勒让德，直到高斯的相关工作，揭示了该定律对十九世纪数论发展的巨大推动作用。

Regarding the open chain plane multibar performing mechanism as the object, this paper analyzes its establishing problem of dynamics equation from new degree, and this paper gives the new general formula to the similar velocity, similar angular velocity, inertial coefficient by turns.

文章以开式链平面连杆机构为对象，从新的角度探索分析其动力学方程的建立问题，文中依次对类速度、类角速度、惯性系数、广义力给出新的求解通式。最后用拉格朗日方程建立相应的动力学方程

The Arbitrary Lagrangian Eulerian finite element method with ANSYS/CFD was used to solve the Navier-Stokes equations numerically.

利用任意拉格朗日欧拉有限元方法求解出N-S方程的数值解，证明简单扑翼布局所提供的升力足以克服微扑翼飞行器本身的重力使其飞行。

Present: Didier Grange; Sharon Alexander-Gooding; Zohar Aloufi; Nestor Bamidis; Marilyn Bier: Kim Eberhard; Mark Greene; Fred Van Kan; Bert De Keyser; Nancy Marrelli; Chantal Ménard; Robert Nahuet; Chiyoko Ogawa; Trudy Peterson; Lars Sandberg; Kazuko Sasaki; Wladyslaw Stepniak; Shelley Sweeney; Katherina Tiemann; Margaret Turner.

与会者：狄迪尔·格朗齐、莎伦·亚历山大·谷丁（ARMA，Association of Records Managers and Administrators，档案管理人员与行政人员协会）、佐哈·阿劳菲、内斯特·巴米迪斯、玛丽琳·毕尔，基姆·爱伯哈德、马克·格林尼、弗雷德·范·坎、伯特·德·基瑟、南希·马瑞利、常塔尔·米纳德、罗伯特·那休伊特、小川千代子（Chiyoko Ogawa？

Soon he had not only Dumbledore and Morgana, but Hengist of Woodcroft, Alberic Grunnion, Circe, Paracelsus, and Merlin.

不久他不但有了邓布利多和莫格纳的卡片，还有了汉吉斯，阿博瑞克·格朗宁，瑟斯，帕拉瑟和梅林。

British actor, playwright, theater manager, and critic particularly noted for his productions and criticism of the works of Shakespeare.

格兰维尔，哈雷·格朗维尔1877－1946英国演员、剧作家、剧院经理和评论家，尤以其作品和对莎士比亚作品的评论而闻名

Jacobian Davis iterative method of solving equations AX = B, least squares polynomial fitting, portfolio Simpson formula for integration, with a triangular decomposition method of solving equations AX = B.

拉格朗日插值多项式拟合，牛顿插值多项式，欧拉方程解偏微分方程，使用极限微分求解导数，微分方程组的N=4龙格库塔解法，雅可比爹迭代法解方程AX=B，最小二乘多项式拟合，组合辛普生公式求解积分，用三角分解法解方程

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