如图所示，班上的学生正在质疑学习诸如乘法表等基本技能的必要性。
As is shown in the picture, the pupils in the class are questioning the necessity of learning basic skill such as multiplication table.
然而，很少有人意识到基本技能的重要性。如图所示，班上的学生正在质疑学习诸如乘法表这样的基本技能的必要性。
However, few people realize the importance of basic skills. As is shown in the picture, the pupils in the class are questioning the necessity of learning basic skill such as multiplication table.
利用核函数法和广义最小二乘法给出了一般变系数ev模型系数参数的估计，得到了估计的强相合性。
In this paper, the estimation of coefficient functions in a varying-coefficients EV model are constructed by using kernel smoothing and generalized least square method.
本文利用射影算子、积分算子、乘法算子来证明各种谱的存在性。
In this article, the existence possibility of various spectra is proved with projector operator, integral operator and multiplication operator.
利用随机过程理论研究了遗忘因子最小二乘法(FFLS)的有界收敛性，给出了参数估计误差的上界。
Based on stochastic process theory, the bounded convergence of forgetting factor least square algorithm (FFLS for short) is studied and the upper bound of the parameter tracking error is given.
本文提出了一种可以证明安全性的身份识别方案，只包含一次模指数运算，其在线计算只需要一次乘法和一次加法。
There is only one exponent calculation in our scheme and the on-line computing is just a one multiplication together with one addition.
通过阻尼最小二乘法自动迭代反演，减少了这代次数和多解性，提高了解释精度。
By damping least squares auto-fit, the iterative several times and ambiguity can are reduced, and accuracy is improved.
乘法和加法是混合性运算。
最佳一致逼近算法和最小二乘法相比，在理论计算上体现了它的有效性和优越性。
In the theoretical calculation, the best approximations algorithm shows its practicability and superiority comparing with the method of least squares.
运用广义最小二乘法研究了一类半线性模型中的参数、函数的估计量问题，并证得估计量的一致性结果。
The estimators problem of parameters and functions in Semi-Linear Model were studied by Generalized Least Square method. The agreement between parameters and functional estimators was then presented.
乘法运算也具有相似的复杂性。
我们容易验证乘法满足结合律和交换律，并且由加法结果的唯一性得出乘法结果的唯一性和乘法消去律。
We then can verify the associative law and the commutative law for multiplication, and the uniqueness of the result of addition indicates the uniqueness and the cancellation law for multiplication.
提出了一类新的具有高度规则性的部分并行三项式有限域乘法器架构。
A new high regular structure of partial parallel multiplier for irreducible trinomial generated finite field is proposed.
说明了对偶基比特并行乘法器在硬件规模上的优越性。
The advantage of dual basis bit parallel multiplier in terms of the scale of hardware is explained.
其次还建立了交互对比法和最小二乘法的等效性。
Furthermore, the equivalence between the method of cross-contrast and that of least squares is established.
我们利用最小二乘法、体积模型、等级换算模型对数据进行处理，得出方法二比方法一的准确性略高。
The authors get the result that way 2 is better than way 1 by processing data, making use of least squares method, volume model and classification exchange model.
将改进的平均秩法应用于最小二乘法当中，对导弹某部件可靠性寿命数据进行分析，用程序实现了所提出的方法并在实例中得到应用。
This new method is applied to analyze the life data of the components of missile, and the programs were made for this method and applied in an example.
基于最小二乘法的平面相似变换对粗差的反映不灵敏、稳健性差。
The plane similitude conversion, based on the least square method, is not sensitive to gross error and has worse stabilization.
用压缩矩形的最小二乘法拟合工件端面图像的边缘以及用DFT变换对工件端面的跳动量进行测量，使端面跳动测量的准确性得到了很大的提高。
Accuracy of measurement of face runout is enhanced effectually by use of least square method of compressing rectangle fitting edge of image and transforming of DFT.
本文将使用相对于最小二乘法更具有稳健性的分位点回归估计法。
So we introduced and used quantile regression method, which was robust in this situation.
结果同一资料用双变量多水平模型计算的部分相关系数及其显著性检验结果与传统最小二乘法计算结果相同，但前者更加简便、快速。
Results the results of correlation analysis with multilevel bivariate models is same with traditional methods, but the former is more quick and simple.
本文提出一种分步迭代的加权残值方法，并从理论上证明了分步迭代的最小二乘法用于求解线性问题时的收敛性。
In this paper, a kind of iterative weighted residual method is suggested. It is shown theoretically that the method of the least square for linear problems is convergent.
采用最小二乘法对弹性接触问题提出了一种新的混合变分形式，对该变分问题解的存在唯一性进行了论证。
A new mixed variational formulation is presented for the elastic contact problem with application of least-square method.
对低噪声放大、正交网络、微波鉴相及视频放大进行了宽带设计，对微波乘法器进行了可靠性设计、工艺设计和结构设计。
LNA, orthogonal network, microwave phase discriminator, video amplifier are designed for broadband application. Reliability, circuit process, and structure are de-signed.
但由于空间物体形状的复杂性，因而，模型的建立即算法就成为人们争相研究的课题，本文给出了一种基于最小二乘法推导出来的理论模型。
Because of the complexity of the object's shapes, made model is studied by the scholars. In the article, the theory model based on the least square method induced is presented.
测试的结果和用最小二乘法拟合得到的数据曲线较好吻合，证明了采用脉冲涡流检测金属厚度的可行性。
The test results accord with the data curves of Least Squares, and the test proves the feasibility of PEC in testing thickness of mental.
应用偏最小二乘法结合近红外光谱法（NIRSPLS）对吡嗪酰胺片中吡嗪酰胺的含量进行了非破坏性定量分析。
Near infrared diffuse reflectance spectroscopy with partial least square fitting (NIRSPLS) was applied for nondestructive quantification of the content of Pyrazinamide in Pyrazinamide tablets.
在对实验数据进行相关性分析的基础上，运用图解法、平均值法、最小二乘法对处理后的数据进行曲线拟合，获取实验的经验公式。
On the basis of correlation analysis of the experiment data, it uses graphic method, average law, least square method to obtain the experience formula of the experiment.
在对实验数据进行相关性分析的基础上，运用图解法、平均值法、最小二乘法对处理后的数据进行曲线拟合，获取实验的经验公式。
On the basis of correlation analysis of the experiment data, it uses graphic method, average law, least square method to obtain the experience formula of the experiment.
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