得到了关于数值半径幂的不等式。
本文定义了带有对称函数的实四无数矩阵的广义数值半径并得到了它们所满足的不等式。
In the paper the generalized numerical radiuses of real quaternion matrices with symmetric function are defined and theirs inequalities are given.
通过数值计算，分析了材料参数和球体的半径比对孔穴生成和增长的影响，并与相应的静态结果进行了比较。
The influence of the material parameters on the void formation and growth is considered by numerical computation and the results are compared with those for static analysis.
根据数值计算结果，提出一个计算束半径的近似公式。
According to the results of numerical calculation, the proximate formula of estimating radius of the beam was developed.
通过数值计算，获得稳定平衡半径，以及它与驱动声压的相关性。
By numerical calculation, the steady ambient radius together with its dependency on the driving pressure is obtained.
数值试验结果表明，我们改进后的信赖域半径使算法在迭代过程中十分有效，不但减少了迭代次数还减少了函数和梯度的赋值。
Numerical results show that we choose a suitable initial adaptive trust region radius at each iteration so as to reduce the number of iterations, function and gradient evaluations.
并且通过数值计算得到了胶泥在缓冲器内不共振的最小管道半径。
Moreover, the smallest pipe radius for the elastomer damper, in which the resonance can't happen, is calculated numerically.
在后面还有数值轴，越限制饱和度范围(磁盘的半径)的，因此，较小的磁盘。
The farther down the value axis, the more restricted the saturation range (the radius of the disk) is and, therefore, the smaller the disk.
这些结果表明若给SPH方法中使用的平滑半径(h)固定一个下限值，可能会导致数值解的准确性严重下降。
It was found that if a lower limit on the value of the SPH smoothing radius his imposed, a commonly used approach, the accuracy of solutions may be severely degraded.
本文选取某重复级压气机平均半径处的型线，进行平面扩压叶栅非定常数值模拟。
In this paper unsteady numerical simulation of planar diffuse cascade is performed in the model profiles that choosing from mid-span of the blade in a repeated compressor.
数值计算表明，气体速度随入口段曲率半径的增大而增大，拉伐尔喷嘴和长度则随曲率半径的增大而减小。
The numerical calculation results show that the gas velocities increase with the reduction of curvature and the length of laval nozzle decreases with the increase of the radius of curvature.
数值计算结果表明：当量子线截面半径减小时，基态和第一激发态能量都将单调增加。
The numerical results show, with the decreasing radius of the quantum wires, the ground state energies and the first excited state energies increase mononically.
同时，还数值模拟了小球在艾里光束中的运动轨迹，讨论了小球半径、折射率以及环境粘滞系数对小球轨迹的影响。
Trajectories of particles in the Airy beam were investigated and their relationships with particle radius, refractive index, and viscosity of surrounding medium were studied.
数值模拟了不同海拔高度、不同来流速度、不同弹丸头部半径、不同半锥角条件下弹丸的烧蚀情况，给出了弹丸按时间顺序排列的烧蚀外形图。
At the conditions of different altitudes, velocity, shapes, the deformation of projectile are numerical simulated. The ablation profiles of the projectile are given in chronological orders.
利用数值打靶方法求解本征方程，证明存在温度梯度将加强离子有限回转半径的稳定作用。
By using a numerical shooting code, the governing equation is solved. It is shown that the presence of the temperature gradient makes the stabilization effect of FLR stronger.
后来的数值模拟结果显示出，即使伴星的轨道半径大如海王星的轨道，它仍可汲取物质而形成吸积盘。
Later simulations show that even a companion with an orbit as wide as Neptune's could scoop up an accretion disk.
数值计算结果显示，电子能级敏感地依赖于量子环半径，能级存在极小值，这是由于限制势采用抛物势的结果。
The numerical results show that the energy levels of electron are sensitively dependent on the radius of the quantum ring and a minimum exists on account of the parabolic confinement potential.
数值计算了圆形透镜的色散，结果表明：焦斑的半径和焦深随入射波长的变大而减小，光斑的强度随入射波长的变大而增强。
The results of computer simulation show that both the radius of disk and the depth of focal length decrease as increasing incidence wavelength, meanwhile, the intensity of disk is enhanced.
通过数值模拟弯曲损耗随弯曲半径的变化关系，证实了两种光子晶体光纤均具有弯曲损耗振荡特性。
The bending loss oscillations in the two kinds of PCFs are observed by simulating the relationship between the bending loss and bending radius, and the origin of the loss oscillations was analyzed.
数值计算发现通过调整像面位置或入臂长度均能够补偿曲率半径的误差。
As is shown through the calculation, the radius error can be compensated by adjustment of the detector's position or entrance slit distance.
用数值分析方法求解了单线波模方程和双线波模方程，得出的主要结论为它们的衰减率与隧道壁电导率和隧道半径有微弱依赖关系。
It is concluded from the presented results that the attenuation rate is weakly related to radius of tunnel and conductivity of tunnel wall. For a tunnel with arbitrary cross-section...
在各向非均质地层或所测属性具有不同数值时，探测半径变化很大，只能作为仪器响应的定性指示。
The radius of investigation can vary considerably in inhomogeneous conditions, and at different values of the properties concerned. It should be considered only a qualitative guide to tool response.
然后用时域有限差分法（FDTD）数值计算了锥形光纤光场分布，论述了在不同的包层半径处，光纤锥的光场分布特性。
Optical field in tapered optical fiber is numerically simulated using 2D finite-difference time-domain (FDTD) method, optical character in different cladding radius is expounded.
采用龙格-库塔数值方法计算了气泡脉动半径、周期及水中压力，计算结果与实测数据吻合较好。
The radius period of oscillation of the bubble and the water pressures are calculated numerically with Runge-Kutta method. The calculating results are unanimous with that of experiments.
在此基础上，还分析了种群规模、否定域半径等参数数值的选取对算法性能的影响，并给出了参数数值的最优设定。
Then, the paper analyzes some parameters for the effect of the performance of algorithm, gives the optimal set of parameter values.
系列数值分析表明影响槽钢腹板压屈的主要参数是腹板的厚度、屈服强度、槽钢的内角半径。
The numerical calculating results agreed well with the test data. The parameters affecting the web crippling capacity are researched through a series of numerical test specimens.
在旋转异构态理论基础上，建立双侧基高分子链均方旋转半径的计算公式，由此得到聚甲基苯乙烯的均方旋转半径特征比与链长的关系，计算结果与实验数值十分一致。
Using the rotational isomeric state theory, the mean square radius of gyration < S 2> and its temperature coefficient for the polymer chain with large side groups are derived.
通过数值模拟发现，电极压力和电极球面半径是影响电极-工件间接触面大小的主要因素；
The electrode-to-workpiece and workpiece-to-workpiece con tact behaviors are analyzed, and reasons for contact pressure distribution are explained.
通过数值模拟发现，电极压力和电极球面半径是影响电极-工件间接触面大小的主要因素；
The electrode-to-workpiece and workpiece-to-workpiece con tact behaviors are analyzed, and reasons for contact pressure distribution are explained.
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