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Secondly, brief to introduce Wavelet Transform definition. Mallat algorithm, two-dimensional wavelet decomposability of image and orthogonal wavelet decomposability. And the zero tree structure of image wavelet transform.

其次，简要介绍了小波变换的定义、Mallat算法、图像的二维正交小波分解以及图像小波变换的零树结构。

EOF, EOF procedures, principal component analysis procedure, suitable for vector field orthogonal decomposition.

经验正交函数，EOF程序，主成分分析程序，适合做向量场的正交分解。

Polar decomposition of deformation gradient in three dimensional states is often rather difficult, although it has already been solved success fully for plane problems. It is a commonly used technique to obtain the solutions through Cayley-Hamilton formula and three invariables of U. The paper introduces a nonlinear elimination method by use of orthogonal matrix's property, and gives a computation formula for polar decomposition.

变形梯度的极分解在平面问题中得到了很好解决，在三维空间问题中一直认为是相当困难，利用Cayley-Hamilton公式和U的三个不变量求解是目前普遍采用的方法，文章利用正交矩阵的特性，介绍了非线性逐次消除的方法，给出了右极分解的计算式。

The paper first introduces the basic principle of Karhunen-Loeve decomposition for stochastic processes, and outlines the essential properties of the decomposition. A method based on the Hartley orthogonal bases is proposed to decompose stochastic processes.

介绍了随机过程Karhunen-Loeve分解的基本原理，指出了其在随机过程展开中所具有的优势与局限性，针对Karhunen-Loeve分解在求解特征问题中存在的困难，采用Hartley正交基作为展开函数，发展了一类基于Hartley正交基的随机过程展开方法。

It is the first time to have the theorem of orthogonal decomposition, a theoretical kernel in inverse gravimetric problem, realized in practice.

文章针对物理大地测量学反问题研究中的拟调和性重力场源及重调和性重力场源，将该研究中的理论核心——正交分解定理予以具体实现。

The optimal condition for deep fry of cho- peanut bean and roasting of chocolate powder and optimum formulation for chocolate powder were studied by orthogonal experiment.

通过正交试验法，分析了巧克力花生豆制备过程中，油炸的最佳条件及巧克力粉的最佳配比和最佳烘烤条件。

The passive beam delivery system in the superficially-placed tumor therapy terminal at Heavy Ion Research Facility in Lanzhou, which includes two orthogonal dipole magnets as scanning system, a motor-driven energy degrader as range-shifter, series of ridge filters as range modulator and a multileaf collimator, is introduced in detail.

详细介绍了兰州重离子研究装置浅层肿瘤重离子治疗终端的被动式束流配送系统，对该束流配送系统重要组成部件及其整体的性能进行了实验验证。

Through the application of orthogonal method in the design of dehydrator,the text analyzed the result of experiment in variance,ascertained parameter's affecting in the design of dehydrator.

通过在除水器设计实验中应用正交法，使其在大量减少实验次数的前提下能够大致反映全面的实验结果，对实验结果进行方差分析，确定除水器设计中主要参数外圆直径、叶片切向角、叶片高度、叶片数目对脱水性能影响的程度，进行优化，为除水器设计中获取最佳设计参数提供科学依

In order to determine the optimal conditions of water glass from oil shale ash, through orthogonal experiment, the influences of correlative parameters including NaOH concentration, material ratio (NaOH to oil shale ash in weight), reaction time and reaction temperature on the modulus of water glass or deliquescent rate of SiO2 were all studied.

为研究页岩灰制取水玻璃的最佳条件，分别以水玻璃模数和页岩灰中SiO2溶出率为指标，NaOH溶液质量分数、物料比（NaOH溶液与页岩灰的质量比）、碱浸时间和碱浸温度为影响因素。进行了正交试验。

Construct two mutually orthogonal tangents of the deltoid. Where do they meet?

三角星形线的两条互相垂直的法线的交点在哪里？

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。