三角方程

For some special cases, the paper gives some important identical theorems, and then establishes a valuable relation between the uniformly almost periodic functions and the trigonometric polynomials.Secondly, on the basis of the identical theorem, the paper investigates the Fourier series of the uniformly B2 almost periodic functions, and further proves that the series is unique.Thirdly, the paper discusses the Parseval equation of the uniformly B2 almost periodic functions, which establishes the relation between these functions and the coefficients of their Fourier series; and next investigates an important approximation theorem-Riesc-Fischer theorem, about the uniformly B2 almost periodic functions and the trigonometric polynomials.

并给出了特殊情况下的几个重要的恒同定理，将一致概周期函数与有限三角多项式联系起来；第二，在恒同定理的基础上，给出了一致B~2概周期函数的Fourier级数，并且级数是唯一的；第三，讨论了一致B~2概周期函数的Parseval方程，建立了函数与其Fourier级数的系数之间的联系；接着给出了关于一致B~2概周期函数和三角多项式之间的一个重要近似定理—Riesc-Fischer定理。

Aiming at the difficulties of solving large-scale normal equation and error equation,it proposes a method on the basis of Cholesky decomposition principle.

针对大型法方程和误差方程解算问题，提出为矩阵寻求一个好的排序，使得它的 Cholesky分解后的下三角矩阵有较少的非零元素个数。

Based on the theory of tidal flow and sediment motion, a 2-D depth-integrated mathematical model for the Jiaojiang Estuary is developed by using explicit scheme of finite difference on the triangle elements. The results show that the rotary currents occurring in this area can be simply and effectively simulated by the model. Meanwhile, the suspended sediment concentration simulated is in agreement with the field data.

本文根据椒江口实测水文地形资料，从平面二维水流泥沙基本方程和基本理论出发，采用三角单元有限差分法对水流泥沙方程显示求解，对椒江口潮流泥沙进行了数值模拟，模型简单实用，较好地再现了具有旋转潮波性质的椒江河口水流运动特征，含沙量场也得到了基本正确的反映。

This book reviews the many areas of numerical analysis, including the configuration polynomial, finite difference, factorial polynomials, summation, Newton formula, operator and configuration polynomial, Cheung section, close polynomials, TaylM more item type, interpolation, numerical differentiation, numerical integration, and with the series, differential equations, differential equations, least squares polynomial approximation, minimax polynomial approximation, rational function approximation, triangular approximation, non-linear algebra, linear equations, linear programming, boundary value problems, MonteCarIo methods and so on.

本书综述了数值分析领域的诸多内容，包括配置多项式、有限差分、阶乘多项式、求和法、Newton公式、算子与配置多项式、祥条、密切多项式、TaylM多项式、插值、数值微分、数值积分、和与级数、差分方程、微分方程、最小二乘多项式逼近、极小化极大多项式逼近、有理函数逼近、三角逼近、非线性代数、线性方程组、线性规划、边值问题、MonteCarIo方法等内容。本书的特色主要表现在利用例题及大量详细的题解来透彻地阐明所述内容的内涵，同时附有大量的补充题以便读者进一步巩固和深化从书中获得的数值分析知识。

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

The fluorescence photon-number is proportional to the excitation rate while the spontaneous-radiation rate has an optimum decided by a trigonometric equation.

发射荧光光子数与激发速率成正比，而自发辐射速率则存在一个由三角方程决定的最佳值。

This paper sets forth non zero element dynamic memory trigonometric decomposition method of large scale sparse positive definite normal equation, which is regular, simple and intuitive, and therefore it is ease to realize in the computer.

本文针对具有正定性质的大型稀疏法方程，提出了大型稀疏正定法方程的非零动态存储三角分解法，运用复式链表来动态存储稀疏矩阵。

Some sufficient conditions for existence and uniqueness of periodic solution to Duffing equation are obtained using trigonometrical series and contraction mapping.

利用三角级数理论及压缩映射原理，研究时滞Duffing型微分方程，给出此类方程存在唯一周期解的几个充分条件。

To study the jack up drilling rig used in Bohai sea, a bending deformation equation expressed by trigonometrical number equation is established based on energy method.

以渤海自升式钻井平台为研究对象，根据能量法建立了用三角级数方程表示的隔水导管挠曲变形方程，由雷利法计算了隔水导管系统的振动频率，并通过工程实例对隔水导管在不同尺寸和不同水深条件下的自振特征和特点进行了分析。

Based on the instantaneous motion of the moving platforms, the uncertainty configuration conditions and simplified uncertainty configuration equations are obtained for the widely studied parallel manipulators, such as planar 3-DOF parallel manipulator, spherical 3-DOF parallel manipulator, 6-SPS triangular platform parallel manipulator, three-branch 6-DOF parallel manipulator, twotriangular-platform parallel manipulator, DELTA parallel manipulator, 5-DOF parallel manipulator, two-tetragonal-platform parallel manipulator, pentagonal platform parallel manipulator and Stewart platform parallel manipulator.

采用这一方法，根据国内外常用的并联机器人机构的形式，建立了平面3自由度并联机器人、球面3自由度并联机器人、三角平台并联机器人、三支链6自由度并联机器人、双三角平台并联机器人、DELTA并联机器人、5自由度并联机器人、双四角平台并联机器人、五角平台并联机器人和Stewart平台并联机器人的奇异位形条件方程，除了Stewart平台并联机器人外，这些条件方程均为低于6阶的行列式，机器人结构类型不同，其简化程度各不相同。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。