均方根误差

The frequency fluctuation of the stabilized laser is held within 5.6 MHz and better than 160 MHz of the free-running laser. The root of Allan variance of error signals reaches a minimum of 1.66×10 -11 when averaging time is 64 s, well within the precision needed for application.

稳定后的激光频率波动小于5.6MHz，相对于自由运转时的160MHz有了很大提高，而误差信号的Allan方差均方根在平均积分时间为64s时达到最小值1.66×10-11。

The results show that the error does not change with different scenes of input images,and the error RMS of image motion is less than 0.2 pixel.

试验结果表明，像移测量的精度不随景物的内容而变化，测量得到的像移误差均方根值＜0.2 pixel。

In this paper,two methods,one singular perturbation and the other directly numerical solution,are used to find the solution of the stiff string of 3lst key and 59th key for a piano tone partials,with the results compared with Ray- leigh and Seeback's by regular persvrcation method and with those from dire- ct obseruation.

本文应用文献[1]结果进一步求出了59号弦的泛音频率，所得结果与实验观测值对比，其绝对误差的均方根和相对误差的均方根都远较Rayleigh-Seeback用正则摄动法算得的小。

Of endogenous variables with the Root-Mean-Square Percent Error between simulated values and actual values less than 5%, and 81. 8% of endogenous variables with RMSPE less than 10%, which implies that the overall goodness of the model is satisfactory.

检验结果表明，动态模拟值与实际观测值的均方根相对误差低于5%的内生变量占全部内生变量的59.1%，而均方根相对误差不超过10%的内生变量占81.8%，说明模型对观测值具有良好的总体拟合性能。

The results show that the root-mean-square relative error of GA-SVM model is only 2.25%, which is less than those of SVM and back propagation model by 0.58% and 1.93%, respectively.

研究结果表明：用GA-SVM算法得到的均方根相对误差仅为2.25%，比用SVM模型和BP神经网络所得的均方根相对误差比分别低0.58%和1.93%。

The efficient preprocessing method of image sequences is proposed to help to increase robusticity and improve accuracy of projection algorithm.

用VC++编程实现了对航摄图像序列的实时处理，其帧处理率达25帧／秒，均方根误差小于0.32像素。

Four thin-layer drying models were investigated for the description of FIR-assisted freeze-drying characteristics. The models were exponential model, Page model, diffusion model, and approximation of the diffusion model. Tests were conducted using a three-level, three-factor (drying temperature, distance between sample and FIR heater, and sample thickness) design, and quadratic polynomial analyses were performed to relate the drying parameters of thin-layer drying model. The performance of these thin-layer drying models was evaluated by comparing the coefficient of correlation (R2), the sum of squares, and the RMSE amongst four models. Drying parameter K of the Page model gave the best results in describing freeze-drying with FIR of Tylose and sweet potato.

运用四种薄层乾燥模型（指数、Page、渗透模型及近似渗透模型）研究远红外线冷冻乾燥之乾燥特性，实验采用三阶层、三因子（远红外线加热器设定温度、远红外线加热器至样品表面之距离及样品之厚度）的实验设计，对於薄层乾燥模型的乾燥参数以二次多项式函数表示之，乾燥参数之二次多项式函数的最适性判断主要是藉由决定系数、模式缺乏适合性及均方根误差等值的比较而加以评估，以Tylose及甘薯样品而言，其中四种薄层乾燥模型的乾燥参数以Page模型之K值的结果为最佳。

In this paper, the effects of the rigid body motions and low frequency surface errors on the image quality were analyzed. Quadratic equations were used to build the mathematical model of the Wolter type I and II X-ray telescopes and reduce the computational complexity of ray tracing. With the help of a self-developed optical surface analysis code, the effects of the perturbations of the mirrors on the image quality was analyzed and the growth of the image spot formed by deformed telescopes was calculated, this is important for giving the reasonable fabrication tolerance.

在本篇文章中，详细分析了刚体运动误差和低频表面误差对成像质量的影响；使用空间解析几何学的二次曲面方程建立Wolter I、II型X射线掠入射望远镜镜片的数学模型，降低光线追踪的计算复杂度；借助自主开发的光学仿真软件分析了国内研制的X射线成像望远镜的刚体运动误差和低频表面误差对成像质量的影响，计算出像点艾里斑半径均方根值随误差变化的增长率，对工程上提出合理的制造公差的误差容限有重要的指导意义。

Iterative algorithm based on fuzzy control theory is put forward for designing diffractive optical elements for laser beam shaping, aiming at decreasing both mean square error and top beam uniformity of the output beam.

在光束整形衍射光学元件的设计中，为同时减小输出光束的均方根误差和顶部不均匀度值，提出了模糊控制迭代算法。

The precision tracking for the "S maneuver" targets in 2-D plane was realized by the Monte Carlo simulation, and the root mean square error of position is much smaller than the Singer model.

通过Monte Carlo仿真，实现了在平面内对&蛇形&机动目标位置的准确跟踪，并且距离均方根误差比Singer模型要小很多，从而验证了该方法的有效性。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。