查询词典 approximate calculation

We will demonstrate the specification of reference prior distribution on the random covariance matrix. We will consider the approximate uniform shrinkage prior and approximate Jeffreys' prior. Both are formulated based on the approximated likelihood function. Under generalized linear mixed models, we show that the posterior mode under Jeffrey's prior is asymptotically closer to the REML estimate than the mode under uniform shrinkage prior does.

在广义线性混合模式下，我们证明了在样本数很大时，随机效应之变异数成份的后验众数和REML估计值会近似相等，同时也建立了后验众数和REML估计值的近似关系式，并提出了比较二种后验众数与REML估计值之间远近的准则。

In this paper,some approximate optimal solutions and an augmented Lagrangian function in nonlinear programming were introduced,duality map and duality problems based on the augmented Lagrangian function were established, relationship between the approximate optimal solutions of augmented Lagrangian function and primal problem was discussed.

介绍了几种近似最优解和增广拉格朗日函数，建立了基于增广拉格朗日函数的对偶映射和相应的对偶问题，讨论了增广拉格朗日函数的几种近似解和原问题的几种近似解的关系，得到的结果推广了一些已有的结论。

At the same time, the MEMS geophone can be used to monitor the microseismic event of coal mining, water reservoir and hydraulic fracturing through the research of failure location and the ratio of rock fracture can be predicted by counting numbers of acoustic emission.After spent six months to monitor injecting microseism in Ying 11 block of DongXin field using this system and collect abundant microseismic wave files. The result showed that the orientation of injecting fracture was mainly NE90°to NE125°. The maximum horizontal principal stress directions were mainly distributed in NE90°-NE130°range. Analysis of numerical simulation result of reservoir stress in Ying 11 block showed that the maximum horizontal principal stress directions are approximate east-west in central and western region and approximate NE130°at eastern border.

利用该系统对东辛油田营11进行了六个月现场注水微震监测，对监测数据的处理表明营11注水区域裂缝发育方向基本上为NE90°-NE125°；同时营11地区油藏地应力数值模拟结果分析表明其水平最大主应力的方向主要分布在NE90°-NE130°的范围内，研究范围中西北区块的水平最大主应力方向近似为东西向，研究区块的东部边界的水平最大主应力方向近似为NE130°左右，模拟结果与裂缝监测方位相符较好，两者结合给出了这个地区合理开发部署建议。

This method corrected the Wien approximate based on the mathematical principle, and calculated the spectral shape using ADE to identify the band which had the maximum and minimum emissivity, then deduced the relationship of each band's emissivity after the correction of Wien approximate and derived the actual emissivity using this relationship and MMD model.

对维恩近似从基本原理上进行修正，利用ADE计算光谱大致形状以确定发射率最大最小的波段，推导出了在修正维恩近似后各个波段发射率的关系，再利用这个关系以及最大最小值差模型计算实际的发射率。

Furthermore, we will discuss the corresponding decay rates problem when the viscous term tends to zero.The first part is about the local existence. We will regularize the equations by the standard mollifier to get the approximate solutions . Then by making uniform estimates to the approximate solutions and by passing to the limit, we obtain the local existence for the above problem.

我们主要研究了此方程组古典解的局部存在性，爆破准则以及通过粘性消失方法来研究如上方程组的局部存在性和收敛率问题，主要结论有：(1)解的局部存在性利用光滑子对方程组进行正则化，从而得到原方程组的逼近解。

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。

The statistical analysis of this large set of mutations has led us to propose a diagnostic strategy that should help with the molecular work-up of optic neuropathies.

这一大系列基因突变的统计学分析引导我们提出一个诊断策略，可以帮助我们对视神经病变进行分子学的诊断检查。

The results show that the pipe grouting changes the mechanical parameters of surrounding rocks to achieve the security of engineering objectives by reinforcing surrounding rocks and bolcking the water.

研究表明：小导管注浆一方面改变了围岩的力学参数，另一方面利用浆液的固结特性可以实现堵水和加固围岩的工程目标，使隧道在开挖过程中的安全得到保障。