查询词典 method of undetermined coefficients

The free volume cell theory was applied to derivative the formula of activity coefficients of liquid binary solution at arbitrary temperature. The Monte Carlo algorithm was employed to calculate the non-liner equations, then the free volume parameters were directly correlated to the activity coefficients of liquid binary, ternary, quaternary and quinary solutions at arbitrary temperature. The three dimensional diagrams of a-x-T diagrams representing the changes of activity with those of temperature and concentration were plotted.

由自由体积胞腔理论推证了某温度下两组分的活度系数关联式；引入MonteCarlo非线性方程解法，通过无限稀释溶液的实验活度系数数据直接得到自由体积参数和二元系及多元系液态金属溶液在任意温度下全浓度范围内的活度数据，构筑了直观反映活度随温度和浓度变化的a-x-T三维图形。

In the depth of forage grass roots, underground 0~50 centimeters, Su (the uniformity coefficients of soil water content of effective wetness soil layer) is clearly higher than Cu (the corresponding uniformity coefficients of rain gauge).

在50cm深度范围内，牧草根系区域的有效湿润层土壤含水率均匀系数 Su 均显著大于其对应的喷灌均匀系数 Cu 。

In the depth of forage grass roots, underground 0-50 centimeters, S_u (the uniformity coefficients of soil water content of effective wetness soil layer) is clearly higher than C_u (the corresponding uniformity coefficients of rain gauge).

在50cm深度范围内，牧草根系区域的有效湿润层土壤含水率均匀系数S_u均显著大于其对应的喷灌均匀系数C_u。

In the regression add variables and delete the variables of each step, the regression equation of the series solution of regression coefficients, and calculation of regression coefficients significant test statistic.

在逐步回归添加变量和删除变量的每一个步骤，都要解一系列的回归方程，求回归系数，计算回归系数显著性检验的统计量。

The self-diffusion coefficients of supercritical carbon dioxide and infinite dilute diffusion coefficients of methanol and ethanol in supercritical carbon dioxide were investigated by molecular dynamics simulation.

采用分子动力学模拟的方法对超临界二氧化碳的自扩散系数及甲醇和乙醇在超临界二氧化破中的无限稀释扩散系数进行了模拟计算。

Angular spectral is spectral value map formed by estimating semblable coefficients of fast and slow shear wave or the variation of amplitude ratio of fast and slow shear wave with times and angles at a specified space point based on semblable theory of fast and slow shear wave, the angle value of this space point at a given time can be got by picking the maximum of angular spectral; the study reveals that fast and slow shear wave with different polarization direction should be separated using different rotation formula, eight formulas of separating fast and slow shear wave using clockwise rotation and counterclockwise rotation have been derived, and gained energy assignment rule and phase coincidence rule, in real data estimation, the rotation formula used for separating fast and slow shear wave can be uniquely determined on the two discriminating rules. On the basis of semblable theory of fast and slow shear wave, the delay time corresponding to the maximum of semblable coefficients at a specified point in a given time window is the delay time of fast and slow shear wave, delay time section of fast and slow shear wave can be got by moving space point and smoothing time window. The vertical variation values of delay time of fast and slow shear wave reflect the effect degree of vertical fractured reservoir on fast and slow shear wave which is defined as anisotropic coefficient, and section map of anisotropic coefficient can be obtained.

角度谱就是利用快慢横波的相似性原理，在某一空间点求出快慢横波的相似系数或快慢横波的振幅比值随着时间和角度的变化而形成的谱值图，拾取其极大值就得到该空间点某一时间的角度值；在研究中发现分离不同偏振方向的快慢横波应该采用不同的旋转公式，推导出了利用顺时针旋转和逆时针旋转分离快慢横波的八个公式，并给出了能量分配准则和相位一致性准则两个判别准则，在实际计算中利用这两个判别准则能唯一地确定分离快慢横波的旋转公式；根据快慢横波的相似性原理，在某一给定点和给定时窗内最大相似系数对应的延迟时间就是快慢横波的延迟时间，随着空间点的移动和时窗的滑动就可以得到快慢横波延迟时间的剖面图；快慢横波延迟时间与慢横波传播时间的比值定义为裂缝密度，并求出了裂缝密度剖面图；快慢横波延迟时间纵向上的变化值的大小反映了纵向上裂隙层对快慢横波影响的大小，定义为各向异性系数，并求出了各向异性系数的剖面图。

Applying the boundary condition in the interface between the uniaxial anisotropic medium and free space, the surface of the conducting sphere, the expansion coefficients of electromagnetic fields in terms of spherical vector wave function in uniaxial anisotropic medium are obtained, and then the expansion coefficients of scattering fields and radar cross sections can be obtained.

通过矩阵方程的求解和球B(来源：e3ABC论文网www.abclunwen.com)essel函数的大宗量渐进表达式，我们给出了各向异性单轴介质球结构对平面波电磁散射的数值计算结果，并和其他的数值计算结果进行了比较，其结果正如我们所预料的一样，达到了预期的结果。

Following Randall and Failey, some assumptions about the activity coefficients of the ions of o-nitrobenzoic acid in salt solutions were made and thereby it was possible to calculate the activity coefficients of its undissociated molecules in these solutions.

关于邻硝基苯甲酸根离子在这些盐溶液中的平均活度系数，作者仿照前人作某些假設，从而計算出該酸的未离解分子在盐溶液中的活度系数f_u。

The results indicated that (1) the economy in Zhejiang Province was in the developing stage of unchanged scale wage;(2) the inputoutput elasticity coefficients was the most sensitive to labour element among the factors which had effect of economic growth in Zhejiang Province.The results showed that the coefficient was 0.538 5 in labour element while the coefficients were 0.247 3 in land element and 0.321 6 in fixed asset elements respectively;（3）the contribution of the input of fixed assets was 6823% and still the major impetus to economic growth during this time;(4)the land use was not intensive basically in Zhejiang Province,the input of land elements was replaced by that of other elements during the study.So,labour intensive industry should be one of the industries in the future.

研究结果表明：(1)就规模效应而言，浙江省的经济增长处于规模报酬不变的发展阶段；(2)浙江省经济增长对劳动力要素的投入最为敏感，其中土地要素、劳动力要素和资本要素增加1个单位的投入量对经济增长的推动为 0.247 3、0.538 5 和 0.321 6；（3）固定资产投入在研究期间是浙江省经济增长的主要推动力，其贡献率达到6823%，而劳动力要素与土地要素则分别为2346%和625%；(4)浙江省土地利用不够集约，在研究期间土地要素对经济增长的影响能被资本要素与劳动力要素有效替代，而劳动力要素则难以被资本投入与土地投入有效替代，劳动集约型产业应该成为浙江省未来发展方向之一。

The solution of constant coefficients is a special case of varying coefficients when momentum correction is zero and friction correction is one.

常系数方程的解成为变系数方程解在动量修正项为0、摩阻修正项为1时的特殊形式。

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。