查询词典 approximate integration

In this paper, Newton iteration formula for computing normal depth and critical depth was put forward by mathematical transformation of uniform flow equation and critical flow equation of circular section tunnel. Then, the relationship between the corresponding central angle and the introduced parameters was analyzed. An approximate formula for angle was obtained according to optimal uniform approximation principle. Using this approximate formula as initial value of iteration formula, a direct formula for calculating normal depth and critical depth of circular section tunnel was established after its first iterative.

该文通过对圆形断面均匀流方程与临界流方程的数学变换，分别得到其正常水深与临界水深的牛顿迭代公式，同时，通过对正常水深与临界水深对应的中心角与引入参数之间关系的分析及数值计算，利用最优一致逼近原理分别得到了正常水深与临界水深对应中心角的近似计算式，并以此近似计算式为初值，用迭代方程进行一次迭代得到了圆形断面均匀流水深与临界流水深的直接计算公式。

At the same time, due to 2~1S_0、 3_1S_0 are the radical excitations of 1~1S_0,we can use Regge trajectory on the (n,M~2)-plane with the approximate same slope to describe the mass of isoscalar of 3~1S_0 nonet (1926MeV). The two results derive from different ways are approximate. 2 The mass of the isodoublet of 2~3S_1 nonet is analyzed in the quarkonium-quarkonium mixing scheme, the results (1584±16.7MeV) is far from the K~*(1410)(1414±15MeV). 3 Based on "glueball dominance" picture, we establish glueball-meson mass relations. For the 2~ glueball mass and 4~ glueball mass used as input parameters, these relations predict the mass of isoscalar of 1~3F_4(4~)(2076±19.66MeV).

的质量(1900±12MeV)；同时考虑到2~1S_0、3~1S_0为1~1S_0的径向激发态，在(n，M~2)雷吉轨迹图中应该具有近似相同的斜率，利用雷吉轨迹可以得到其对应质量为(1926MeV)，两种方法得到了两个十分自洽的结果。2在介子—介子混合框架下，对2~3S_1介子九重态中同位旋二重态的质量给出估计，得到(1584±16.7MeV)，这个结果相对于K~*(1410)=1414±15MeV有较大的偏离。3在胶球为主的图像下，利用介子—胶球质量关系，选择2~与4~胶球的质量作为输入参数，我们得到1~3F_44~(介子九重态中同位旋标量态？

The approximate Hamilton system with parametric variable was introduced, and the canonical transformation was performed based on this approximate Hamilton system.

引入含参变量的近似Hamilton系统，并以近似Hamilton系统为基础进行辛矩阵乘法的正则变换。

Based on finite element method of flexibility and approximate expression of the structural flexibility matrix changes due to structural damages by first class Tayler approximate expansion of structural physical parameters of the initial flexibility matrix, the new damage identification method was put forward.

在采用柔度阵法进行结构损伤识别研究中，从柔度阵出发，进行结构有限元分析。通过对损伤引起的结构柔度阵的变化在初始柔度阵处关于结构物理参数的一阶泰勒近似，首次提出了一种基于有限元分析的结构损伤识别的柔度阵法。

To solve the problem encountered in finding a proper rotation matrix and translation vector, approximate and precise solutions are provided successively. The approximate one has the advantage of utilizing existing solution, with limited range of weight to choose from. The precise one has no limit to weight, and can also prevent the problem of obtaining a mirror matrix of the correct one. Besides, it permits the'hat'to be amplified to fit the size of'head'.

其中近似解可以直接套用现成的公式计算，但是权重的选择余地不大，而精确解则无此限制，而且从理论上解决了不同权重下求解旋转矩阵和平移向量时，可能出现错误的旋转矩阵的问题，并允许在配准时对"帽"进行缩放以适应"头"和"帽"的大小不匹配的问题。

Sampling points were obtained by using optimal Latin hypercube design of experimental method,meantime,in order to improve computing efficiency,application of stepwise regression response surface approximate method in the MDO system of the vehicle crashworthiness and free mode of Body-In-White,the approximate model was optimized by using sequential quadratic programming method.

采用最优拉丁方试验设计方法进行样本数据设计，同时，为了提高计算效率，采用了一种新型的响应面构建方法——逐步回归响应面方法构建了整车耐撞性与白车身自由模态多学科系统的近似模型，利用序列二次规划优化方法对此近似模型进行优化，避免了整车碰撞传统优化设计方法计算量大，在碰撞非线性系统优化中常常易导致收敛缓慢甚至不收敛的缺点，在满足了CMVDR294安全法规的同时，使得白车身的扭转模态值得到提高，汽车重量得到较大程度的减轻。

The implementation is that users first give the approximate execution time of threads and then create treads according to the descending sort of the approximate values, finally the treads will be placed on processors by the system with a Greedy Method.

在线索分配策略方面，我们首先提出了在多线索体系结构中，侧重处理机负载平衡的线索分配策略的实现方法，即用户给出线索运行时间的估算值并按估算值的递减顺序生成线索，再由系统采用贪心算法进行线索分配。

By study the method of approximate development of surface of revolution,the mathematiccal model of approximate development,precision analysis and error correction has been gained.

通过对不可展回转曲面近似展开方法的研究，得到了回转曲面近似展开、精度分析和误差矫正的数学模型。

It presented a practical approach for calculating the approximate second-order elastic moment of the partially-braced frame column, based on the present design code of steel structures and the approximate magnification factor of second-order moment of unbraced frame column.

摘要］在现行钢结构设计规范的基础上，结合无支撑纯框架柱二阶近似弹性分析的二阶弯矩放大系数，提出了用于弱支撑框架柱考虑侧移效应的二阶近似弯矩放大系数实用公式。

Experimental results show that the zero effort miss vector calculated by using approximate formulas is close to the real miss vector. Under the conditions of small initial errors, the satisfied results can be obtained by approximate function. The zero effort miss vector obtained can be used for the preliminary design and analysis of kinetic interceptor guidance.

测试结果表明该近似算法得到的零控脱靶量与真实值比较接近，在较小初始偏差条件下，简化的近似计算公式能给出满意的结果，所得零控脱靶量可用于空间动能拦截制导系统的初步设计与分析。

The dissecting of samples in group2 were difficult. The root of pulmonary artery and ascending aorta failed to be unfolded because fibrous tissue was tough, right and left fibrous trigone were too firm to be solved by hand. Cardiac muscle fibers couldn't be stripped along myofibrillar trajectory since they were prone to break because of their friability.

组2的心脏解剖困难，表现为纤维组织坚韧，游离肺动脉非常困难；徒手无法松解左、右纤维三角，肺动脉和主动脉根部的游离非常困难；心肌纤维坚硬、质脆，解剖时容易断离成碎块，无法沿纤维走行方向剥离。

We have battled against the odds in a province that has become increasingly violent.

我们对在一个争夺日益激烈省的可能性。