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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。

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。

F〓 of transgenic allotetraploid fish containing"all-fish"transgene——pCAgcGHc was obtained respectively by inbreeding and gynogenesis. Positive rate of pCAgcGHc detected by PCR was 90% in F〓 of transgenic allotetraploid fish produced by inbreeding, while most F〓 of transgenic allotetraploid fish produced by gynogenesis showed diploidy measured by flow cytometer. The results above imply that developing the pure line of transgenic allotetraploid fish through inbreeding is feasible, but the operation should be modified if gynogenesis is introduced.

采用近交和雌核发育方法培育出转pCAgcGHc基因异源四倍体鲫鲤F〓代,通过PCR检测,外源基因pCAgcGHc在近交转pCAgcGHc基因异源四倍体鲫鲤F〓中的整合率为90%,而流式细胞技术检测雌核发育转pCAgcGHc基因异源四倍体鲫鲤F〓的倍性多为二倍体,说明通过近交筛选转基因异源四倍体鲫鲤纯系的方法是可行的,但是通过雌核发育来筛选转基因异源四倍体鲫鲤纯系还要就方法上进一步的改进。

When closely related individuals interbreed,'inbreeding' occurs ,which gives rise to inbreeding depression (which causes a reduction in offspring fitness) and increased genetic homozygosity (which reduces the possibility of evolutionary adaptation to a changing environment, and increases the possibility of extinction).

当亲缘相近的个体进行亲繁殖时,"交近"就出现了。近交引起近交衰退和增加遗传纯合性(它降低了对于环境变化产生进化适应的可能性,而增加了灭绝的可能性)。

As a kind of orthogonal polynomials system,orthogonal spline function has many good properties such as orthogonality and locality.

作为一种正交多项式函数系,正交样条函数结合球面调和函数所定义的矩具有正交性等优良性质。

We know that if the prefilter is nonorthogonal, the discrete orthogonal multiwavelet transform will not preserve the orthogonality.

我们知道,如果预滤波器是非正交的,则离散正交多子波变换的正交性将"丧失"。

In the parallel program, the in-core and out-of-core algorithms can be identified and chosen to use automatically. So the algorithms are united.(3) The re-orthonormalization technique is used to solve the loss of orthonormality of basis vector during the classical GMRES method solving large-scale three dimensional elasto-static BE problems.

3采用重正交技术解决了经典GMRES方法在求解大型三维弹性静力边界元问题过程中出现的基向量正交性丧失的问题;结合边界元基本解和系数矩阵的特点以及并行化的要求,研究了几种预条件技术;并以重正交技术和预条件技术实现了经典GMRES的实用化。

We know that if the prefilter is nonorthogonal, the discrete orthogonal multiwavelet transform will not preserve the orthogonality.

我们知道,如果预滤波器是非正交的,则离散正交多子波变换的正交性将&丧失&。

The design, synthesis of crosslinked poly-salenCo complexes and their application in the HKR of terminal epoxides Di-salicylaldehydcs and tri-salicylaldchydes S-3, S-4, S-5 were synthesized from some easily prepared acids. The crosslinked polymeric ligands could be prepared by condensation of -1, 2-cyclohexanediamine stoichiometrically with a mixture of S-3 and S-4 in different proportions, polymeric catalysts were obtained by inserting the Co atoms to the ligands.

四 交联poly-salenCo络合物的设计合成及其在末端环氧化合物的HKR中的应用以几种易得的羧酸为骨架,设计合成出了相应的双水杨醛和三水杨醛S-3、S-4、S-5,将双水杨醛S-3和三水杨醛S-4按不同比例混合后再与手性环己二胺缩合制备出交联聚合物配体,该配体与Co络合后得到交联聚合物催化剂。

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。

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Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气,收缩臀部肌肉;拱起身体,尽量抬起头来,右腿伸直朝向天花板(膝微屈,以避免肌肉紧张)。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化,但却比去年同期高8%。

However, to get a true quote, you will need to provide detailed personal and financial information.

然而,要让一个真正的引用,你需要提供详细的个人和财务信息。