乘法

The reliability of analysis result depends largely on the in-house experimental conditions. Unlike the previous analysis that only concerns the sole effect of permeable pressure, this article considers both permeable and confining pressure and deformation characteristics of concrete material under the interaction of them according to the real work state of construction, which may leads to the changing pattern of permeable rate as listed below: permeable rate always reaches its peak with the time process going on, than goes down and remains straight on some certain value; The PR will tend to decline while the confining pressure is increased, and the time taken before the peak will be extended as well; Under the constant permeable pressure and circularly changing confining pressure, the minus-exponential ascend and descend relationship could be applied between the PR and Time axes respectively with crannied and intact concrete samples, and the PR of crannied concrete is far more larger than that of intact concrete. The change pattern of concrete could also be mathematically analogized using the least square method.

室内的实验条件是研究成果可靠性的重要因素，而以往的研究都只考虑了渗透压单一作用，本文根据混凝土结构的实际工作状态，同时考虑了围压与渗透压共同作用下的混凝土材料的渗透性变化特征，得出了混凝土材料在围压作用与渗透压共同作用下的渗透率的变化规律：渗透率都是随时间推移先达到一个峰值，再降低并趋于平稳；渗透率会随围压的增大而减小，并且峰值的到达时间也会随之延长；在渗透压不变，围压升降循环的情况下，有裂缝、无裂缝混凝土的渗透率变化规律是随时间成负指数关系上升、下降，且有裂缝混凝土试件的渗透率远远高于无裂缝混凝土的渗透率，并对混凝土的变化规律运用最小二乘法进行数学拟合。

Image scrambling transform ; Doolittle decomposition ; Crout decomposition ; Gauss-Jordan elimination ; inverse transform ; multiplication inversion

图像置乱变换；杜里特尔分解；克劳特分解；高斯-约当消去；逆变换；乘法逆元

An approximation formula used to calculate the characteristics of cycloidal propeller is set up.

二、提出一个计算摆线推进器水动力性能的经验公式，根据本文的试验数据，用最小二乘法求出了经验公式中的系数。

While the plane is measured by using the cylindricity measuring instrument and square ,the data acquisition should be done at the same time.

首先利用圆柱度仪和角尺对被测件进行测量，同时采集原始测量数据，然后利用最小二乘法实现平面度误差的评定。

The cylindricity could be calculated by least squares method and wavelet error separation method that the measurement error could be decomposed by Harmonic analysis algorithm based on wavelet theory.

针对激光 CCD 灵敏度高，干扰噪声容易混入测量数据中的问题，提出了一种基于小波分析的误差分离方法，即运用谐波分析的思想方法和小波理论中多频率分析算法进行误差分离，误差分离后的数据用最小二乘法处理求出圆柱度。

Several models of cylindricity error evaluation,such as MZC,LSC,MCC and MIC,were given,a constriction factor model of the Particle Swarm Optimization was introduced.

建立了圆柱度误差评价的最小区域法、最小二乘法、最小外接圆柱法和最大内接圆柱法的数学模型，将一种含收敛因子的粒子群优化算法应用于圆柱度误差的目标函数的优化问题。

Taking a example for verilying the feasibility and computation precision of the approach,the computation results show that the PSO-based approach is a useful tool for solving such nonlinear optimization problems as cylindricity evaluation with complicated goal function and more parameters. It is superior to that given by the Least Square Method and a little better than or equal to those given by GA-based method and another Minimum Zone Method.

计算结果表明，该方法对于圆柱度误差评定这类具有复杂目标函数和较多参数的非线性优化问题有很好的计算性能，优于最小二乘法；与遗传算法和其它满足最小区域条件计算方法相比，计算精度略优于前者或者与前者相当，能够获得精度较高的结果，而突出优点是简单，易于实现而且计算效率较高。

The parameterization of section contour data is carried out by the method of accumulated chord length, the reasonable math model on the selection of node vector is given, the approximating of NURBS curve to section contour data is carried out by the least square method and the most reasonable number of control point is obtained by the dimidiate algorithm, which makes the approximating of NURBS curve reach the extent of complete automation.

用积累弦长的方法对截面轮廓数据进行参数化；给出了节点矢量选择的合理数学模型；用最小二乘法对截面轮廓数抛进行了NURBS曲线的拟合；二分法寻找最优控制点的算法使NURBS曲线的拟合达到全自动化的程度。

The successive stability constants which are obtained by non-linear least-squares methord fitting Bjerrum formula. In three- system ,the results from Scatchard plots indicate that there exists two strong binding site of Mn and one strong binding site of Zn,there are same results compareing with two -system ,but some more weak binding sites are different from the different addition sequence ,show that there are not common strong binding site of Mn,Zn in HSA or BSA .Strong binding sites have electiveness and unfalteringness ,weak binding sites exists irreversibility.

用非线性最小二乘法拟合Bjerrum方程，计算了同时竞争体系的逐级稳定常数；Scatchard图分析表明，三元体系中，Mn和Zn与血清白蛋白结强合部位数分别为2和1，与二元体系相比，保持不变，弱结合部位数随加入顺序的不同而不同，但都有所增加，竞争结果说明了Mn和Zn与血清白蛋白结合没有共同的强结合部位，强结合部位具有专一性，选择性，而弱结合部位具有不可逆性。

Then, the empiristic formula is gained by experimental data processing, making use of calculating by the computer with the method of least squares.

然后对实验数据用最小二乘法处理，来验证理论推导公式的正确性。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。