查询词典 least squares

In the past, the high frequency resonance technique is usually applied in the envelope detection for a vibration signal with amplitude modulation. When applying the Hilbert transform in the high frequency resonance technique for the envelope detection of vibration signals, the computing burden is very high. On the other hand, when applying the linear least squares analysis method, the computing burden is lower. When applying the envelope detection in the lowest vibration mode, an accelerometer with the low-pass filtering cutoff frequency at 4kHz should be choose.

在过去的研究方法中，振动讯号之振幅调变通常以高频解调分析法应用於包络讯号侦测，而高频解调方法应用希尔伯特转换的包络分析，所需要的计算量是非常的高，若以线性最小平方分析法应用於高频解调分析法中，则所需要的计算量较小，如果以最低模态来估测包络讯号时，可以适当的选取加速规来代替低通滤波器，而加速规的截止频带必须在4kHz左右。

In this paper an iterative method is presented to find the bisymmetric least-squares solutions of the matrix equation AXB = C.

本文给出了求矩阵方程AXB=C的双对称最小二乘解的一种迭代解法。

An algorithm was constructed to solve the least squares bisymmetric solution of a class of matrix equation.

构造了一种迭代法求一类矩阵方程的最小二乘双对称解。

Keywords constrained matrix equation problem;sub matrix constraint problem; matrix norm; optimal approximation solution;least-squares solution

约束矩阵方程问题；子矩阵约束问题；矩阵范数；最佳逼近解；最小二乘解

We use Hodges-Lehmann statistic to do significance test for those factors. The multiplication model is applied in the quantitative analysis and weighted least squares method is introduced to solve the multiplication model. Although the matrix of coefficients is not of full rank and the solutions of the multiplication model are not unique, we prove that all those solutions are equivalent in some sense.

本文用Hodges-Lehmann统计量对风险因子作显著性检验，将乘法模型用于数据修匀和风险因子的定量分析中，并提出了用加权最小二乘法求解风险因子的风险度量，在系数矩阵不满秩、解不唯一的情况下证明了所有解在某种意义下的等价性。

METHODS: Both diastolic and systolic blood pressures repeated measures data, collected from 120 drug abusers after taking two kinds of medicine (Drug A: Xiaoyinfuzheng, Drug B: Kelening), were analyzed by multivariate random coefficients model. The fixed effect parameters matrix x of model coefficients were estimated by using least squares estimation method, the effects between treatment groups were compared and the variancecovariance matrices of random effect were also estimated.

对两种药物（A药：消瘾扶正胶囊，B药：可乐宁）治疗120例患者后的舒张压和收缩压重复观测数据进行多变量随机系数模型分析，对模型系数的固定效应参数矩阵ξ作最小二乘估计并进行组间比较，同时估计随机效应的方差协方差矩阵，分析方法用SAS/IML软件编程得以实现。

METHODS: Both diastolic and systolic blood pressures repeated measures data, collected from 120 drug abusers after taking two kinds of medicine (Drug A: Xiaoyinfuzheng, Drug B: Kelening), were analyzed by multivariate random coefficients model. The fixed effect parameters matrix x of model coefficients were estimated by using least squares estimation method, thelunwen114 effects between treatment groups were compared and the variancecovariance matrices of random effect were also estimated. Related analysis methods were programmed with SAS/IML code.

对两种药物（A药：消瘾扶正胶囊，B药：可乐宁）治疗120例患者后的舒张压和收缩压重复观测数据进行多变量随机系数模型分析，对模型系数的固定效应参数矩阵ξ作最小二乘估计并进行组间比较，同时估计随机效应的方差协方差矩阵，分析方法用SAS/IML软件编程得以实现。

Numerical examples show that the least- squares images can be efficiently retrieved in a few iterations of conjugate gradients method.

数值实例表明，通过少数的共轭梯度法迭代，就能得到与真实模型差别很微小的偏移效果。

Main attention is paid on the third part; in this part several kinds of method to physical geodesy regularization problem are discussed, which are Tikhonov regularization, truncated singular value decomposition, biased estimation and least squares collocation.

在经典小波变换的基础上引入了球面小波概念，证明了Possion积分核是小波尺度函数，在尺度离散基础上证明了球外重力场处于一个多尺度空间。

Moreover, according to triaxial creep test of rock samples, authors fit the curve of ε-t of the gray-yellow miliolite from fault of Zhaogezhuang Coal Mine respectively by visco-elastoplastic model and Burgers model and obtain their rheological parameters by least squares procedure.

此外，利用三轴压缩蠕变试验结果，分别利用伯格斯模型及西原模型，运用最小二乘法对赵各庄煤矿断层破碎带灰黄色糜棱岩的流变曲线进行了拟合，并求取了流变参数。

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。