查询词典 least squares

By studying theory of the least squares, the paper defined normal angles of polygon and presented a computation method of the distance between two polygons.

基於最小二乘原理，提出了多边形法向的概念。在此基础上，提出了多边形间有向距离的计算方法。

First derivative combined with standard normal variate was used to pretreat spectra, and calibration model for ginsenosides had been built by partial least squares regression method.

标准正则变换结合一阶导数对光谱进行预处理后，采用偏最小二乘回归算法建立在线测量总皂苷浓度的近红外光谱校正模型。

The NIRS quantitative analysis model was developed for measuring MBM content in fish meal by using partial least squares. The initial spectrum was pretreated by standard normalized variate, 7 point smoothind and one derivative respectively.

应用偏最小二乘定标方法，在8 678.10~4 250.34cm^(-1)波数范围内，采用变量标准化、7点平滑和一阶导数对光谱进行预处理，建立了鱼粉中肉骨粉含量的NIRS定量分析模型。

The nonlinear least squares cost function was adopted and the numerator and denominator coefficients were estimated in a separated manner.

采用非线性最小二乘目标函数作为优化准则，分子和分母系数通过分离的方式进行估计。

The design procedure of concrete mix proportion was analyzed through concrete compression testing,it was proposed that the least-squares method of numeric analysis can decrease the error between the mixed concrete strength and concrete strength provided in the practical engineering can decrease,and can increase the mixed concrete precision technology.

通过做混凝土抗压强度试验对混凝土配合比设计的步骤进行了分析，提出了通过用数值分析中最小二乘法的方法来减小所配混凝土强度和实际工程所提供强度之间的误差，提高所配混凝土精确度的技术。

This thesis is divided into six parts. The first chapter is preface, the current status of research in the inverse problems for parabolic partial differential equations is reported; the second chapter is "regularization methods for numerical differentiation and their applications ", in this chapter we investigate many regularization methods from a viewpoint of regularization theory and algorithm, some applications in the inverse problems for parabolic partial differential equations are given; the third chapter is "spectral regularization methods". Based on Fourier analysis, within the framework of regularization theory, we apply the spectral methods to some ill-posed problems. Many numerical experiments are done in order to show the validity of the methods; the fourth chapter is devoted to wavelet dual least squares method and a revised wavelet method; in the fifth chapter,we combine finite difference method with method of lines and apply it to the backward heat conduction problem in time; in the sixth chapter "identification problems for unknown source ", the essence and the degree of two problems related to source identification are pointed out, at the same time, some numerical methods are reported.

本文分为六个部分，第一章前言简要分析了国内外抛物型偏微分方程反问题的研究现状；第二章数值微分的正则化及其应用从正则化理论和算法的角度出发，考察了许多正则化方法，还给出了数值微分在抛物型偏微分方程反问题的一些应用；第三章谱正则化方法是在Fourier分析的基础上，在一般正则化理论的框架下，给出了这种方法在各种不适定问题中的应用，数值实验表明谱方法是有效的；第四章研究了小波对偶最小二乘方法和改进的小波方法；第五章主要研究了有限差分方法结合线方法在时间反向热传导问题中的应用；第六章是未知源识别问题，主要指出了两类未知源问题的不适定程度和不适定本质，同时报告了一些数值方法。

For a set of gasoline samples, multivariate linear regression and partial least squares calibration models are built to predict research octane number.

针对一批实际生产装置的汽油样品，采用近红外光谱定量分析中常用的多元线性回归与偏最小二乘方法，建立了汽油研究法辛烷值NIR光谱预测模型。

An approach based on least median squares to a stereo-based visual odometry system is presented.

提出了一种基于最小平方中值定理的立体视觉里程计方法。

A non-linear least squares method was adopted to fit the phenomenological parameters of sedimentation curves, and the experimental results were compared with the Oka' s theory.

采用非线性最小二乘法拟合了沉降曲线的现象学参数，并将实验结果同Oka理论进行了比较。

The basical ideas, arithmatic methods and applied conditions of reduction of partial least squares and discrete wavelet transformation, logitboost, random forests and fuzzy kendal discriminate analysis of microarray gene expression data, ordinal discriminate analysis of time series multivariate data and varied-coefficient-logistic-regression-model discriminate analysis of the data with varied regular pattern in itself.

本文对医学领域中判别分析方法的新进展做一综述，介绍了微阵列基因表达数据判别分析中偏最小二乘法降维、离散小波变换法降维、logitboost算法、随机森林、模糊核判别分析以及时间序列多元数据有序判别分析法、自身有变化规律数据的变系数logistic回归模型判别分析法的基本思想、算法和适用条件。

According to our present broadcasting situation,the thesis proposes using new technology to update and reform the present HFC. It also suggests broadcasting using self-advantage and arranging EPON in order to win the supermarket.

论文从我国广电的现状出发，结合实际，积极倡导采用新技术更新、改造我国现有的HFC网络；倡导广电现阶段利用自身优势，部署EPON网络来赢取市场。

A new general kinetic equation was derived in which the effect of the removal of condensation water was taken into account completely, and was applied to the polyesterification kinetic study of AA/HPHP and AA/NPG. It was found that the reaction order of self-catalyzed polyesterification was not constant. For these polyesterifications, the reaction order was 2.5 at a low temperature, while 3.0 at a high temperature.

考虑缩合水的排除对反应体系的影响，用体积浓度单位推导出一个新的聚酯反应总包动力学方程，并应用到AA/HPHP和AA/NPG两个聚酯化反应的动力学研究中，研究发现，自催化聚酯反应的反应级数并不是固定值，对于AA/HPHP和AA/NPG两个聚酯化反应而言，低温时反应级数为2.5，高温时反应级数为3.0。