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Based on general orthogonal polynomials and general hybrid orthogonal functions, a new linear, continuous and bounded operator has been proposed in the dissertation. The definitions and properties of PGOPO are given, a various operational rules of the operator have been set up in a systematic way, the convergence of approximate solutions has been discussed. After introducing PGOPO and discussing its main properties and operational rules, a systematic methodology for solving various control problems via PGOPO has been developed.

本文在广义正交多项式及广义混合正交函数的基础上,提出了一种新的线性、连续、有界算子—分段广义正交多项式算子,探讨了这种算子的基本性质,并系统地建立了与该算子有关的各种运算规则及收敛性结论,给出了它在控制理论中的各种应用。

Also apiculus color segregated in three segregation populations, the further study on the relationship between spikelet fertility and apiculus color indicated that the average spikelet fertility of individuals with apiculus color was significantly higher than those without apiculus color, which implied the gene responsible for wide compatibility in Aiga should be linked with chromogen C.

进一步研究稃尖色的分离与育性的关系发现,在三个三交群体中,稃尖有色株的平均小穗育性都极显著地高于稃尖无色株,说明控制矮嘎的广亲和性基因与色素原基因C之间存在连锁关系,推测矮嘎中也带有广亲和基因Ss〓。

This paper researches linear maps preserving orthogonality,obtains the linear maps preserving othrogonality,it is either a rank -declining or rank -keeping map or a map with nilpotent element in its codomain.

利用分块成向量的方法证明了MnMn(F为域F上所有n×n矩阵构成的乘法半群上的n×n拟正交矩阵组至多含有n个矩阵,利用方程组的解的理论证明了Mn中与给定矩阵A构成两两拟正交矩阵组的矩阵个数不超过n-Rank+1,从而得到Mn上保持拟正交性的线性映射φ要么是降秩的或者保秩的映射,要么φ的值域中含有幂零元。

In Chapter 2, we study Isosceles orthogonality and Pythagorean orthogonality, which are natural extensions of orthogonality in Hilbert space.

首先给出Isosceles正交性的性质,揭示了这种正交性与等距算子的密切联系。

First of all, the basis of the MRTD method is studied. In Chapter 2, wavelets analysis and multiresolution analysis, the mathematical basis, are introduced, and the characteristics of the wavelets basis functions, including orthonormality, compact support, multiresolution and so on, are also introduced. The advantages of the applications of these functions to the numerical electromagnetic calculations are discussed. In Chapter 3, the algorithm basis of MRTD: the combination of the wavelets and the method of moments is studied. This Chapter shows that the MoM based MRTD method is the combination of wavelets and MoM using Galerkin sampling.

文中首先讨论了 MRTD 的建立基础,其中第二章介绍了其数学基础-小波分析及多分辨分析,讨论了小波基函数的性质包括正交性、紧支撑性、多分辨性等及其应用于电磁场数值计算的优势;第三章讨论了其算法基础-小波与矩量法的结合,阐述了以矩量法作为算法基础,以 Galerkin 离散采样的方式与小波函数结合而产生了 MRTD。

First of all, the basis of the MRTD method is studied. In Chapter 2, waveletsanalysis and multiresolution analysis, the mathematical basis, are introduced, and thecharacteristics of the wavelets basis functions, including orthonormality, compactsupport, multiresolution and so on, are also introduced. The advantages of theapplications of these functions to the numerical electromagnetic calculations arediscussed. In Chapter 3, the algorithm basis of MRTD: the combination of the waveletsand the method of moments is studied. This Chapter shows that the MoM basedMRTD method is the combination of wavelets and MoM using Galerkin sampling.

文中首先讨论了 MRTD 的建立基础,其中第二章介绍了其数学基础-小波分析及多分辨分析,讨论了小波基函数的性质包括正交性、紧支撑性、多分辨性等及其应用于电磁场数值计算的优势;第三章讨论了其算法基础-小波与矩量法的结合,阐述了以矩量法作为算法基础,以 Galerkin 离散采样的方式与小波函数结合而产生了 MRTD。

PAA/PVA IPN hydrogels were prepared by a sequential method by which acrylic acid firstly. polymerizes and cross-links in PVA/water solution with UV irradiation,then PVA physical cross-linked hydrogels are formed in cross-linked PAA networksby freezing-thawing. The orthogonal test design method was used to optimize theexperimental conditions based on the mechanical and swelling properties of thehydrogels. The effect of the PAA and crosslinking agent contents on the microscopicmorphology of the PAA/PVA IPN xerogel was investigated by transmission electronmicroscopy, and on the mechanical properties of the hydogels was studied bymeasurements of mechanical properties.

针对水凝胶强度、生物相容性和刺激响应性的需要,选择了以PVA和PAA为复合水凝胶的基本分子结构;采用顺序IPN方法制备PAA/PVA IPN水凝胶,即将单体丙烯酸与PVA溶液共混,AA经紫外光辐射聚合交联在PVA溶液中形成PAA化学交联网络,再经冰冻—解冻循环过程在PAA网络内形成PVA物理交联网络。

Compared with the common wavelet by the Fourier transform, the decay of weighted wavelet coefficient is faster than that of the common wavelet. Furthermore, the method is simple and easily applied. Its computational complexity is greatly reduced.

与采用常见的Fourier变换得到的正交小波相比,加权小波系数的衰减性比正交小波的系数衰减性快,而且计算过程简单,复杂度低,易于应用。

Among them 3 plants wereselected by the resistance to Ss in adult stage and the result of backgroundanalysis with another 63 PCR markers. So the seeds of the 3 selfed andtestcross were sowed.

成株期抗性鉴定发现其中3株终花期抗性最好,遂将这3株自交和与不育系授粉测交的种子播种,用于下一轮分析。8 在3个单株产生的株系中,有一个株系测交群体无育性分离。

Breeding of transgenic rice restorer line for multiple resistance against bacterial blight, striped stem borer and herbicide(1) Transgenic rice line Zhongguo91 (carrying cry1Ab and bar gene) and elite restorer line Hui773 were crossed, then backcross was carried out three times using Hui773 as recurrent parent and self-cross was carried out one time.

多抗性(抗白叶枯、螟虫、除草剂)转基因水稻恢复系的培育(1)将恢773与携有转cry1Ab和bar基因的水稻新品系中国91(cry1Ab)杂交,并以恢773作为轮回亲本,连续回交三代和自交一代,对各回交世代的单株进行cry1Ab和bar基因的PCR分析、田间抗虫性鉴定和除草剂Basta抗性鉴定,经过选择获得了转基因水稻恢复系T773-1,田间种植对螟虫及除草剂Basta表现很好的抗性。

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